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

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

Semidirect products G=N:Q with N=C3×C6 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊C12 = C2×C32⋊C12φ: C12/C2C6 ⊆ Aut C3×C672(C3xC6):C12216,59
(C3×C6)⋊2C12 = C6×C32⋊C4φ: C12/C3C4 ⊆ Aut C3×C6244(C3xC6):2C12216,168
(C3×C6)⋊3C12 = C2×C4×He3φ: C12/C4C3 ⊆ Aut C3×C672(C3xC6):3C12216,74
(C3×C6)⋊4C12 = Dic3×C3×C6φ: C12/C6C2 ⊆ Aut C3×C672(C3xC6):4C12216,138
(C3×C6)⋊5C12 = C6×C3⋊Dic3φ: C12/C6C2 ⊆ Aut C3×C672(C3xC6):5C12216,143

Non-split extensions G=N.Q with N=C3×C6 and Q=C12
extensionφ:Q→Aut NdρLabelID
(C3×C6).C12 = He33C8φ: C12/C2C6 ⊆ Aut C3×C6726(C3xC6).C12216,14
(C3×C6).2C12 = C3×C322C8φ: C12/C3C4 ⊆ Aut C3×C6244(C3xC6).2C12216,117
(C3×C6).3C12 = C8×He3φ: C12/C4C3 ⊆ Aut C3×C6723(C3xC6).3C12216,19
(C3×C6).4C12 = C8×3- 1+2φ: C12/C4C3 ⊆ Aut C3×C6723(C3xC6).4C12216,20
(C3×C6).5C12 = C2×C4×3- 1+2φ: C12/C4C3 ⊆ Aut C3×C672(C3xC6).5C12216,75
(C3×C6).6C12 = C9×C3⋊C8φ: C12/C6C2 ⊆ Aut C3×C6722(C3xC6).6C12216,13
(C3×C6).7C12 = Dic3×C18φ: C12/C6C2 ⊆ Aut C3×C672(C3xC6).7C12216,56
(C3×C6).8C12 = C32×C3⋊C8φ: C12/C6C2 ⊆ Aut C3×C672(C3xC6).8C12216,82
(C3×C6).9C12 = C3×C324C8φ: C12/C6C2 ⊆ Aut C3×C672(C3xC6).9C12216,83

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