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

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

Semidirect products G=N:Q with N=C6×C3⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C3⋊D4)⋊1C2 = C62.100C23φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):1C2288,606
(C6×C3⋊D4)⋊2C2 = C62.112C23φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):2C2288,618
(C6×C3⋊D4)⋊3C2 = C62.121C23φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):3C2288,627
(C6×C3⋊D4)⋊4C2 = C2×D6.3D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):4C2288,970
(C6×C3⋊D4)⋊5C2 = C2×D6.4D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):5C2288,971
(C6×C3⋊D4)⋊6C2 = C2×S3×C3⋊D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):6C2288,976
(C6×C3⋊D4)⋊7C2 = C2×Dic3⋊D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D424(C6xC3:D4):7C2288,977
(C6×C3⋊D4)⋊8C2 = C32⋊2+ 1+4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D4244(C6xC3:D4):8C2288,978
(C6×C3⋊D4)⋊9C2 = C62.113C23φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):9C2288,619
(C6×C3⋊D4)⋊10C2 = C62⋊4D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):10C2288,624
(C6×C3⋊D4)⋊11C2 = C62⋊6D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):11C2288,626
(C6×C3⋊D4)⋊12C2 = C62⋊7D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):12C2288,628
(C6×C3⋊D4)⋊13C2 = C62⋊8D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D424(C6xC3:D4):13C2288,629
(C6×C3⋊D4)⋊14C2 = C62.125C23φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):14C2288,631
(C6×C3⋊D4)⋊15C2 = C3×D6⋊D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):15C2288,653
(C6×C3⋊D4)⋊16C2 = C3×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):16C2288,655
(C6×C3⋊D4)⋊17C2 = C3×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):17C2288,701
(C6×C3⋊D4)⋊18C2 = C3×C23⋊2D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):18C2288,708
(C6×C3⋊D4)⋊19C2 = C3×D6⋊3D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):19C2288,709
(C6×C3⋊D4)⋊20C2 = C3×C23.14D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):20C2288,710
(C6×C3⋊D4)⋊21C2 = C3×C12⋊3D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):21C2288,711
(C6×C3⋊D4)⋊22C2 = C3×C24⋊4S3φ: C2/C1 → C2 ⊆ Out C6×C3⋊D424(C6xC3:D4):22C2288,724
(C6×C3⋊D4)⋊23C2 = S3×C6×D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):23C2288,992
(C6×C3⋊D4)⋊24C2 = C6×D4⋊2S3φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4):24C2288,993
(C6×C3⋊D4)⋊25C2 = C3×D4⋊6D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D4244(C6xC3:D4):25C2288,994
(C6×C3⋊D4)⋊26C2 = C6×C4○D12φ: trivial image48(C6xC3:D4):26C2288,991

Non-split extensions G=N.Q with N=C6×C3⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C3⋊D4).1C2 = C62.101C23φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).1C2288,607
(C6×C3⋊D4).2C2 = Dic3×C3⋊D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).2C2288,620
(C6×C3⋊D4).3C2 = C62.115C23φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).3C2288,621
(C6×C3⋊D4).4C2 = C62.31D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D4244(C6xC3:D4).4C2288,228
(C6×C3⋊D4).5C2 = C3×C23.6D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D4244(C6xC3:D4).5C2288,240
(C6×C3⋊D4).6C2 = C62.56D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).6C2288,609
(C6×C3⋊D4).7C2 = C62.57D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).7C2288,610
(C6×C3⋊D4).8C2 = C62.111C23φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).8C2288,617
(C6×C3⋊D4).9C2 = C3×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).9C2288,652
(C6×C3⋊D4).10C2 = C3×C23.9D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).10C2288,654
(C6×C3⋊D4).11C2 = C3×C23.11D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).11C2288,656
(C6×C3⋊D4).12C2 = C3×C23.21D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).12C2288,657
(C6×C3⋊D4).13C2 = C3×C23.28D6φ: C2/C1 → C2 ⊆ Out C6×C3⋊D448(C6xC3:D4).13C2288,700
(C6×C3⋊D4).14C2 = C12×C3⋊D4φ: trivial image48(C6xC3:D4).14C2288,699

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