# Extensions 1→N→G→Q→1 with N=C3×C12 and Q=C6

Direct product G=N×Q with N=C3×C12 and Q=C6
dρLabelID
C3×C6×C12216C3xC6xC12216,150

Semidirect products G=N:Q with N=C3×C12 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C3×C12)⋊1C6 = He34D4φ: C6/C1C6 ⊆ Aut C3×C12366+(C3xC12):1C6216,51
(C3×C12)⋊2C6 = C4×C32⋊C6φ: C6/C1C6 ⊆ Aut C3×C12366(C3xC12):2C6216,50
(C3×C12)⋊3C6 = D4×He3φ: C6/C1C6 ⊆ Aut C3×C12366(C3xC12):3C6216,77
(C3×C12)⋊4C6 = C2×C4×He3φ: C6/C2C3 ⊆ Aut C3×C1272(C3xC12):4C6216,74
(C3×C12)⋊5C6 = C3×C12⋊S3φ: C6/C3C2 ⊆ Aut C3×C1272(C3xC12):5C6216,142
(C3×C12)⋊6C6 = C32×D12φ: C6/C3C2 ⊆ Aut C3×C1272(C3xC12):6C6216,137
(C3×C12)⋊7C6 = S3×C3×C12φ: C6/C3C2 ⊆ Aut C3×C1272(C3xC12):7C6216,136
(C3×C12)⋊8C6 = C12×C3⋊S3φ: C6/C3C2 ⊆ Aut C3×C1272(C3xC12):8C6216,141
(C3×C12)⋊9C6 = D4×C33φ: C6/C3C2 ⊆ Aut C3×C12108(C3xC12):9C6216,151

Non-split extensions G=N.Q with N=C3×C12 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C3×C12).1C6 = He33Q8φ: C6/C1C6 ⊆ Aut C3×C12726-(C3xC12).1C6216,49
(C3×C12).2C6 = He33C8φ: C6/C1C6 ⊆ Aut C3×C12726(C3xC12).2C6216,14
(C3×C12).3C6 = D4×3- 1+2φ: C6/C1C6 ⊆ Aut C3×C12366(C3xC12).3C6216,78
(C3×C12).4C6 = Q8×He3φ: C6/C1C6 ⊆ Aut C3×C12726(C3xC12).4C6216,80
(C3×C12).5C6 = Q8×3- 1+2φ: C6/C1C6 ⊆ Aut C3×C12726(C3xC12).5C6216,81
(C3×C12).6C6 = C8×He3φ: C6/C2C3 ⊆ Aut C3×C12723(C3xC12).6C6216,19
(C3×C12).7C6 = C8×3- 1+2φ: C6/C2C3 ⊆ Aut C3×C12723(C3xC12).7C6216,20
(C3×C12).8C6 = C2×C4×3- 1+2φ: C6/C2C3 ⊆ Aut C3×C1272(C3xC12).8C6216,75
(C3×C12).9C6 = C3×C324Q8φ: C6/C3C2 ⊆ Aut C3×C1272(C3xC12).9C6216,140
(C3×C12).10C6 = C9×Dic6φ: C6/C3C2 ⊆ Aut C3×C12722(C3xC12).10C6216,44
(C3×C12).11C6 = C9×D12φ: C6/C3C2 ⊆ Aut C3×C12722(C3xC12).11C6216,48
(C3×C12).12C6 = C32×Dic6φ: C6/C3C2 ⊆ Aut C3×C1272(C3xC12).12C6216,135
(C3×C12).13C6 = C9×C3⋊C8φ: C6/C3C2 ⊆ Aut C3×C12722(C3xC12).13C6216,13
(C3×C12).14C6 = S3×C36φ: C6/C3C2 ⊆ Aut C3×C12722(C3xC12).14C6216,47
(C3×C12).15C6 = C32×C3⋊C8φ: C6/C3C2 ⊆ Aut C3×C1272(C3xC12).15C6216,82
(C3×C12).16C6 = C3×C324C8φ: C6/C3C2 ⊆ Aut C3×C1272(C3xC12).16C6216,83
(C3×C12).17C6 = D4×C3×C9φ: C6/C3C2 ⊆ Aut C3×C12108(C3xC12).17C6216,76
(C3×C12).18C6 = Q8×C3×C9φ: C6/C3C2 ⊆ Aut C3×C12216(C3xC12).18C6216,79
(C3×C12).19C6 = Q8×C33φ: C6/C3C2 ⊆ Aut C3×C12216(C3xC12).19C6216,152

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