You (conveniently) stopped short of the part (b) exception of subsection (4). The part where it states.

except …. (4) on a highway divided into three or more marked lanes for traffic.

I'll put the whole thing here. you know, for the, um, other people that might not find it on their own.

CT Gen Stat § 14-230 (2012)

(a) Upon all highways, each vehicle, other than a vehicle described in subsection (c) of this section, shall be driven upon the right, except (1) when overtaking and passing another vehicle proceeding in the same direction, (2) when overtaking and passing pedestrians, parked vehicles, animals or obstructions on the right side of the highway, (3) when the right side of a highway is closed to traffic while under construction or repair, (4) on a highway divided into three or more marked lanes for traffic, or (5) on a highway designated and signposted for one-way tr

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AND, I'll toss in subsection (C) (which is the only ones not listed above) in case someone believes that its them.

(c) Any vehicle which exceeds the maximum width limitations specified in subdivision (1) of subsection (a) of section 14-262 and operates on an interstate highway with a special permit issued by the Commissioner of Transportation under the provisions of section 14-270, shall be driven in the extreme right lane of such highway, except (1) when such special permit authorizes operation in a traffic lane other than the extreme right lane, (2) when overtaking and passing parked vehicles, animals or obstructions on the right side of such highway, (3) when the right side of such highway is closed to traffic while under construction or repair, or (4) at such locations where access to or egress from such highway is provided on the left.