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Extensions 1→N→G→Q→1 with N=C2×C3⋊D4 and Q=C6

Direct product G=N×Q with N=C2×C3⋊D4 and Q=C6
dρLabelID
C2×C6×C3⋊D448C2xC6xC3:D4288,1002

Semidirect products G=N:Q with N=C2×C3⋊D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C3⋊D4)⋊1C6 = C3×D6⋊D4φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):1C6288,653
(C2×C3⋊D4)⋊2C6 = C3×Dic3⋊D4φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):2C6288,655
(C2×C3⋊D4)⋊3C6 = C3×C12⋊7D4φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):3C6288,701
(C2×C3⋊D4)⋊4C6 = C3×C23⋊2D6φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):4C6288,708
(C2×C3⋊D4)⋊5C6 = C3×D6⋊3D4φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):5C6288,709
(C2×C3⋊D4)⋊6C6 = C3×C23.14D6φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):6C6288,710
(C2×C3⋊D4)⋊7C6 = C3×C12⋊3D4φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):7C6288,711
(C2×C3⋊D4)⋊8C6 = C3×C24⋊4S3φ: C6/C3 → C2 ⊆ Out C2×C3⋊D424(C2xC3:D4):8C6288,724
(C2×C3⋊D4)⋊9C6 = S3×C6×D4φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):9C6288,992
(C2×C3⋊D4)⋊10C6 = C6×D4⋊2S3φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4):10C6288,993
(C2×C3⋊D4)⋊11C6 = C3×D4⋊6D6φ: C6/C3 → C2 ⊆ Out C2×C3⋊D4244(C2xC3:D4):11C6288,994
(C2×C3⋊D4)⋊12C6 = C6×C4○D12φ: trivial image48(C2xC3:D4):12C6288,991

Non-split extensions G=N.Q with N=C2×C3⋊D4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2×C3⋊D4).1C6 = C3×C23.6D6φ: C6/C3 → C2 ⊆ Out C2×C3⋊D4244(C2xC3:D4).1C6288,240
(C2×C3⋊D4).2C6 = C3×Dic3⋊4D4φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).2C6288,652
(C2×C3⋊D4).3C6 = C3×C23.9D6φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).3C6288,654
(C2×C3⋊D4).4C6 = C3×C23.11D6φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).4C6288,656
(C2×C3⋊D4).5C6 = C3×C23.21D6φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).5C6288,657
(C2×C3⋊D4).6C6 = C3×C23.28D6φ: C6/C3 → C2 ⊆ Out C2×C3⋊D448(C2xC3:D4).6C6288,700
(C2×C3⋊D4).7C6 = C12×C3⋊D4φ: trivial image48(C2xC3:D4).7C6288,699

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