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Extensions 1→N→G→Q→1 with N=C2×C32⋊C4 and Q=C22

Direct product G=N×Q with N=C2×C32⋊C4 and Q=C22
dρLabelID
C23×C32⋊C448C2^3xC3^2:C4288,1039

Semidirect products G=N:Q with N=C2×C32⋊C4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C4)⋊C22 = D6≀C2φ: C22/C1 → C22 ⊆ Out C2×C32⋊C4124+(C2xC3^2:C4):C2^2288,889
(C2×C32⋊C4)⋊2C22 = C2×S32⋊C4φ: C22/C2 → C2 ⊆ Out C2×C32⋊C424(C2xC3^2:C4):2C2^2288,880
(C2×C32⋊C4)⋊3C22 = C2×C62⋊C4φ: C22/C2 → C2 ⊆ Out C2×C32⋊C424(C2xC3^2:C4):3C2^2288,941
(C2×C32⋊C4)⋊4C22 = C22×S3≀C2φ: C22/C2 → C2 ⊆ Out C2×C32⋊C424(C2xC3^2:C4):4C2^2288,1031

Non-split extensions G=N.Q with N=C2×C32⋊C4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C4).1C22 = C2.AΓL1(𝔽9)φ: C22/C1 → C22 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4).1C2^2288,841
(C2×C32⋊C4).2C22 = PSU3(𝔽2)⋊C4φ: C22/C1 → C22 ⊆ Out C2×C32⋊C4368(C2xC3^2:C4).2C2^2288,842
(C2×C32⋊C4).3C22 = F9⋊C4φ: C22/C1 → C22 ⊆ Out C2×C32⋊C4368(C2xC3^2:C4).3C2^2288,843
(C2×C32⋊C4).4C22 = S32⋊Q8φ: C22/C1 → C22 ⊆ Out C2×C32⋊C4244(C2xC3^2:C4).4C2^2288,868
(C2×C32⋊C4).5C22 = S32⋊D4φ: C22/C1 → C22 ⊆ Out C2×C32⋊C4244(C2xC3^2:C4).5C2^2288,878
(C2×C32⋊C4).6C22 = C62.9D4φ: C22/C1 → C22 ⊆ Out C2×C32⋊C4244(C2xC3^2:C4).6C2^2288,881
(C2×C32⋊C4).7C22 = C4⋊PSU3(𝔽2)φ: C22/C1 → C22 ⊆ Out C2×C32⋊C4368(C2xC3^2:C4).7C2^2288,893
(C2×C32⋊C4).8C22 = C2×AΓL1(𝔽9)φ: C22/C1 → C22 ⊆ Out C2×C32⋊C4188+(C2xC3^2:C4).8C2^2288,1027
(C2×C32⋊C4).9C22 = C4×F9φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4368(C2xC3^2:C4).9C2^2288,863
(C2×C32⋊C4).10C22 = C4⋊F9φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4368(C2xC3^2:C4).10C2^2288,864
(C2×C32⋊C4).11C22 = C22⋊F9φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4).11C2^2288,867
(C2×C32⋊C4).12C22 = C4.4S3≀C2φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4).12C2^2288,869
(C2×C32⋊C4).13C22 = C32⋊C4⋊Q8φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4488-(C2xC3^2:C4).13C2^2288,870
(C2×C32⋊C4).14C22 = C4×S3≀C2φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4244(C2xC3^2:C4).14C2^2288,877
(C2×C32⋊C4).15C22 = C4⋊S3≀C2φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4).15C2^2288,879
(C2×C32⋊C4).16C22 = C2×C3⋊S3.Q8φ: C22/C2 → C2 ⊆ Out C2×C32⋊C448(C2xC3^2:C4).16C2^2288,882
(C2×C32⋊C4).17C22 = C62⋊D4φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4).17C2^2288,890
(C2×C32⋊C4).18C22 = C4.3PSU3(𝔽2)φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4488(C2xC3^2:C4).18C2^2288,891
(C2×C32⋊C4).19C22 = C4×PSU3(𝔽2)φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4368(C2xC3^2:C4).19C2^2288,892
(C2×C32⋊C4).20C22 = C2×C2.PSU3(𝔽2)φ: C22/C2 → C2 ⊆ Out C2×C32⋊C448(C2xC3^2:C4).20C2^2288,894
(C2×C32⋊C4).21C22 = C62⋊Q8φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4).21C2^2288,895
(C2×C32⋊C4).22C22 = C2×C4⋊(C32⋊C4)φ: C22/C2 → C2 ⊆ Out C2×C32⋊C448(C2xC3^2:C4).22C2^2288,933
(C2×C32⋊C4).23C22 = (C6×C12)⋊5C4φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4244(C2xC3^2:C4).23C2^2288,934
(C2×C32⋊C4).24C22 = D4×C32⋊C4φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4).24C2^2288,936
(C2×C32⋊C4).25C22 = Q8×C32⋊C4φ: C22/C2 → C2 ⊆ Out C2×C32⋊C4488-(C2xC3^2:C4).25C2^2288,938
(C2×C32⋊C4).26C22 = C22×F9φ: C22/C2 → C2 ⊆ Out C2×C32⋊C436(C2xC3^2:C4).26C2^2288,1030
(C2×C32⋊C4).27C22 = C22×PSU3(𝔽2)φ: C22/C2 → C2 ⊆ Out C2×C32⋊C436(C2xC3^2:C4).27C2^2288,1032
(C2×C32⋊C4).28C22 = C2×C4×C32⋊C4φ: trivial image48(C2xC3^2:C4).28C2^2288,932

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