# Extensions 1→N→G→Q→1 with N=C2×C6 and Q=M4(2)

Direct product G=N×Q with N=C2×C6 and Q=M4(2)
dρLabelID
C2×C6×M4(2)96C2xC6xM4(2)192,1455

Semidirect products G=N:Q with N=C2×C6 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1M4(2) = D6⋊M4(2)φ: M4(2)/C4C22 ⊆ Aut C2×C648(C2xC6):1M4(2)192,285
(C2×C6)⋊2M4(2) = C3⋊C826D4φ: M4(2)/C4C22 ⊆ Aut C2×C696(C2xC6):2M4(2)192,289
(C2×C6)⋊3M4(2) = C42.47D6φ: M4(2)/C4C22 ⊆ Aut C2×C696(C2xC6):3M4(2)192,570
(C2×C6)⋊4M4(2) = C3×C89D4φ: M4(2)/C8C2 ⊆ Aut C2×C696(C2xC6):4M4(2)192,868
(C2×C6)⋊5M4(2) = C2433D4φ: M4(2)/C8C2 ⊆ Aut C2×C696(C2xC6):5M4(2)192,670
(C2×C6)⋊6M4(2) = C22×C8⋊S3φ: M4(2)/C8C2 ⊆ Aut C2×C696(C2xC6):6M4(2)192,1296
(C2×C6)⋊7M4(2) = C3×C24.4C4φ: M4(2)/C2×C4C2 ⊆ Aut C2×C648(C2xC6):7M4(2)192,840
(C2×C6)⋊8M4(2) = C24.6Dic3φ: M4(2)/C2×C4C2 ⊆ Aut C2×C648(C2xC6):8M4(2)192,766
(C2×C6)⋊9M4(2) = C22×C4.Dic3φ: M4(2)/C2×C4C2 ⊆ Aut C2×C696(C2xC6):9M4(2)192,1340

Non-split extensions G=N.Q with N=C2×C6 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
(C2×C6).1M4(2) = (C22×S3)⋊C8φ: M4(2)/C4C22 ⊆ Aut C2×C648(C2xC6).1M4(2)192,27
(C2×C6).2M4(2) = (C2×Dic3)⋊C8φ: M4(2)/C4C22 ⊆ Aut C2×C696(C2xC6).2M4(2)192,28
(C2×C6).3M4(2) = C24.97D4φ: M4(2)/C4C22 ⊆ Aut C2×C6484(C2xC6).3M4(2)192,70
(C2×C6).4M4(2) = C48⋊C4φ: M4(2)/C4C22 ⊆ Aut C2×C6484(C2xC6).4M4(2)192,71
(C2×C6).5M4(2) = Dic6.C8φ: M4(2)/C4C22 ⊆ Aut C2×C6964(C2xC6).5M4(2)192,74
(C2×C6).6M4(2) = C24.99D4φ: M4(2)/C4C22 ⊆ Aut C2×C6964(C2xC6).6M4(2)192,120
(C2×C6).7M4(2) = Dic3.M4(2)φ: M4(2)/C4C22 ⊆ Aut C2×C696(C2xC6).7M4(2)192,278
(C2×C6).8M4(2) = C3×D4.C8φ: M4(2)/C8C2 ⊆ Aut C2×C6962(C2xC6).8M4(2)192,156
(C2×C6).9M4(2) = D12.C8φ: M4(2)/C8C2 ⊆ Aut C2×C6962(C2xC6).9M4(2)192,67
(C2×C6).10M4(2) = (C2×C24)⋊5C4φ: M4(2)/C8C2 ⊆ Aut C2×C6192(C2xC6).10M4(2)192,109
(C2×C6).11M4(2) = C2×Dic3⋊C8φ: M4(2)/C8C2 ⊆ Aut C2×C6192(C2xC6).11M4(2)192,658
(C2×C6).12M4(2) = C2×C24⋊C4φ: M4(2)/C8C2 ⊆ Aut C2×C6192(C2xC6).12M4(2)192,659
(C2×C6).13M4(2) = C2×D6⋊C8φ: M4(2)/C8C2 ⊆ Aut C2×C696(C2xC6).13M4(2)192,667
(C2×C6).14M4(2) = C3×C23⋊C8φ: M4(2)/C2×C4C2 ⊆ Aut C2×C648(C2xC6).14M4(2)192,129
(C2×C6).15M4(2) = C3×C22.M4(2)φ: M4(2)/C2×C4C2 ⊆ Aut C2×C696(C2xC6).15M4(2)192,130
(C2×C6).16M4(2) = C3×C16⋊C4φ: M4(2)/C2×C4C2 ⊆ Aut C2×C6484(C2xC6).16M4(2)192,153
(C2×C6).17M4(2) = C3×C8.C8φ: M4(2)/C2×C4C2 ⊆ Aut C2×C6482(C2xC6).17M4(2)192,170
(C2×C6).18M4(2) = C3×C42.6C4φ: M4(2)/C2×C4C2 ⊆ Aut C2×C696(C2xC6).18M4(2)192,865
(C2×C6).19M4(2) = C24.1C8φ: M4(2)/C2×C4C2 ⊆ Aut C2×C6482(C2xC6).19M4(2)192,22
(C2×C6).20M4(2) = C12.15C42φ: M4(2)/C2×C4C2 ⊆ Aut C2×C6484(C2xC6).20M4(2)192,25
(C2×C6).21M4(2) = (C2×C12)⋊3C8φ: M4(2)/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).21M4(2)192,83
(C2×C6).22M4(2) = C24.3Dic3φ: M4(2)/C2×C4C2 ⊆ Aut C2×C648(C2xC6).22M4(2)192,84
(C2×C6).23M4(2) = (C2×C12)⋊C8φ: M4(2)/C2×C4C2 ⊆ Aut C2×C696(C2xC6).23M4(2)192,87
(C2×C6).24M4(2) = C2×C42.S3φ: M4(2)/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).24M4(2)192,480
(C2×C6).25M4(2) = C2×C12⋊C8φ: M4(2)/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).25M4(2)192,482
(C2×C6).26M4(2) = C42.270D6φ: M4(2)/C2×C4C2 ⊆ Aut C2×C696(C2xC6).26M4(2)192,485
(C2×C6).27M4(2) = C2×C12.55D4φ: M4(2)/C2×C4C2 ⊆ Aut C2×C696(C2xC6).27M4(2)192,765
(C2×C6).28M4(2) = C3×C22.7C42central extension (φ=1)192(C2xC6).28M4(2)192,142
(C2×C6).29M4(2) = C6×C8⋊C4central extension (φ=1)192(C2xC6).29M4(2)192,836
(C2×C6).30M4(2) = C6×C22⋊C8central extension (φ=1)96(C2xC6).30M4(2)192,839
(C2×C6).31M4(2) = C6×C4⋊C8central extension (φ=1)192(C2xC6).31M4(2)192,855

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