# Extensions 1→N→G→Q→1 with N=C6×A4 and Q=C22

Direct product G=N×Q with N=C6×A4 and Q=C22
dρLabelID
A4×C22×C672A4xC2^2xC6288,1041

Semidirect products G=N:Q with N=C6×A4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C6×A4)⋊C22 = C2×S3×S4φ: C22/C1C22 ⊆ Out C6×A4186+(C6xA4):C2^2288,1028
(C6×A4)⋊2C22 = C2×C6×S4φ: C22/C2C2 ⊆ Out C6×A436(C6xA4):2C2^2288,1033
(C6×A4)⋊3C22 = C22×C3⋊S4φ: C22/C2C2 ⊆ Out C6×A436(C6xA4):3C2^2288,1034
(C6×A4)⋊4C22 = C22×S3×A4φ: C22/C2C2 ⊆ Out C6×A436(C6xA4):4C2^2288,1037

Non-split extensions G=N.Q with N=C6×A4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C6×A4).1C22 = Dic3.S4φ: C22/C1C22 ⊆ Out C6×A4726-(C6xA4).1C2^2288,852
(C6×A4).2C22 = Dic3×S4φ: C22/C1C22 ⊆ Out C6×A4366-(C6xA4).2C2^2288,853
(C6×A4).3C22 = Dic32S4φ: C22/C1C22 ⊆ Out C6×A4366(C6xA4).3C2^2288,854
(C6×A4).4C22 = Dic3⋊S4φ: C22/C1C22 ⊆ Out C6×A4366(C6xA4).4C2^2288,855
(C6×A4).5C22 = S3×A4⋊C4φ: C22/C1C22 ⊆ Out C6×A4366(C6xA4).5C2^2288,856
(C6×A4).6C22 = D6⋊S4φ: C22/C1C22 ⊆ Out C6×A4366(C6xA4).6C2^2288,857
(C6×A4).7C22 = A4⋊D12φ: C22/C1C22 ⊆ Out C6×A4366+(C6xA4).7C2^2288,858
(C6×A4).8C22 = C3×A4⋊Q8φ: C22/C2C2 ⊆ Out C6×A4726(C6xA4).8C2^2288,896
(C6×A4).9C22 = C12×S4φ: C22/C2C2 ⊆ Out C6×A4363(C6xA4).9C2^2288,897
(C6×A4).10C22 = C3×C4⋊S4φ: C22/C2C2 ⊆ Out C6×A4366(C6xA4).10C2^2288,898
(C6×A4).11C22 = C6×A4⋊C4φ: C22/C2C2 ⊆ Out C6×A472(C6xA4).11C2^2288,905
(C6×A4).12C22 = C3×A4⋊D4φ: C22/C2C2 ⊆ Out C6×A4366(C6xA4).12C2^2288,906
(C6×A4).13C22 = A4⋊Dic6φ: C22/C2C2 ⊆ Out C6×A4726-(C6xA4).13C2^2288,907
(C6×A4).14C22 = C4×C3⋊S4φ: C22/C2C2 ⊆ Out C6×A4366(C6xA4).14C2^2288,908
(C6×A4).15C22 = C12⋊S4φ: C22/C2C2 ⊆ Out C6×A4366+(C6xA4).15C2^2288,909
(C6×A4).16C22 = C2×C6.7S4φ: C22/C2C2 ⊆ Out C6×A472(C6xA4).16C2^2288,916
(C6×A4).17C22 = (C2×C6)⋊4S4φ: C22/C2C2 ⊆ Out C6×A4366(C6xA4).17C2^2288,917
(C6×A4).18C22 = A4×Dic6φ: C22/C2C2 ⊆ Out C6×A4726-(C6xA4).18C2^2288,918
(C6×A4).19C22 = C4×S3×A4φ: C22/C2C2 ⊆ Out C6×A4366(C6xA4).19C2^2288,919
(C6×A4).20C22 = A4×D12φ: C22/C2C2 ⊆ Out C6×A4366+(C6xA4).20C2^2288,920
(C6×A4).21C22 = C2×Dic3×A4φ: C22/C2C2 ⊆ Out C6×A472(C6xA4).21C2^2288,927
(C6×A4).22C22 = A4×C3⋊D4φ: C22/C2C2 ⊆ Out C6×A4366(C6xA4).22C2^2288,928
(C6×A4).23C22 = A4×C2×C12φ: trivial image72(C6xA4).23C2^2288,979
(C6×A4).24C22 = C3×D4×A4φ: trivial image366(C6xA4).24C2^2288,980
(C6×A4).25C22 = C3×Q8×A4φ: trivial image726(C6xA4).25C2^2288,982

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