# Extensions 1→N→G→Q→1 with N=C2×C32⋊C4 and Q=C2

Direct product G=N×Q with N=C2×C32⋊C4 and Q=C2
dρLabelID
C22×C32⋊C424C2^2xC3^2:C4144,191

Semidirect products G=N:Q with N=C2×C32⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C4)⋊1C2 = S32⋊C4φ: C2/C1C2 ⊆ Out C2×C32⋊C4124+(C2xC3^2:C4):1C2144,115
(C2×C32⋊C4)⋊2C2 = C62⋊C4φ: C2/C1C2 ⊆ Out C2×C32⋊C4124+(C2xC3^2:C4):2C2144,136
(C2×C32⋊C4)⋊3C2 = C2×S3≀C2φ: C2/C1C2 ⊆ Out C2×C32⋊C4124+(C2xC3^2:C4):3C2144,186

Non-split extensions G=N.Q with N=C2×C32⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C4).1C2 = C3⋊S3.Q8φ: C2/C1C2 ⊆ Out C2×C32⋊C4244(C2xC3^2:C4).1C2144,116
(C2×C32⋊C4).2C2 = C2.PSU3(𝔽2)φ: C2/C1C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4).2C2144,120
(C2×C32⋊C4).3C2 = C4⋊(C32⋊C4)φ: C2/C1C2 ⊆ Out C2×C32⋊C4244(C2xC3^2:C4).3C2144,133
(C2×C32⋊C4).4C2 = C2×F9φ: C2/C1C2 ⊆ Out C2×C32⋊C4188+(C2xC3^2:C4).4C2144,185
(C2×C32⋊C4).5C2 = C2×PSU3(𝔽2)φ: C2/C1C2 ⊆ Out C2×C32⋊C4188+(C2xC3^2:C4).5C2144,187
(C2×C32⋊C4).6C2 = C4×C32⋊C4φ: trivial image244(C2xC3^2:C4).6C2144,132

׿
×
𝔽