Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C36

Direct product G=N×Q with N=C2×C6 and Q=C36
dρLabelID
C2×C6×C36432C2xC6xC36432,400

Semidirect products G=N:Q with N=C2×C6 and Q=C36
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊C36 = Dic3×C3.A4φ: C36/C6C6 ⊆ Aut C2×C6366(C2xC6):C36432,271
(C2×C6)⋊2C36 = C12×C3.A4φ: C36/C12C3 ⊆ Aut C2×C6108(C2xC6):2C36432,331
(C2×C6)⋊3C36 = C22⋊C4×C3×C9φ: C36/C18C2 ⊆ Aut C2×C6216(C2xC6):3C36432,203
(C2×C6)⋊4C36 = C9×C6.D4φ: C36/C18C2 ⊆ Aut C2×C672(C2xC6):4C36432,165
(C2×C6)⋊5C36 = Dic3×C2×C18φ: C36/C18C2 ⊆ Aut C2×C6144(C2xC6):5C36432,373

Non-split extensions G=N.Q with N=C2×C6 and Q=C36
extensionφ:Q→Aut NdρLabelID
(C2×C6).C36 = C4×C9.A4φ: C36/C12C3 ⊆ Aut C2×C61083(C2xC6).C36432,40
(C2×C6).2C36 = C22⋊C4×C27φ: C36/C18C2 ⊆ Aut C2×C6216(C2xC6).2C36432,21
(C2×C6).3C36 = M4(2)×C27φ: C36/C18C2 ⊆ Aut C2×C62162(C2xC6).3C36432,24
(C2×C6).4C36 = M4(2)×C3×C9φ: C36/C18C2 ⊆ Aut C2×C6216(C2xC6).4C36432,212
(C2×C6).5C36 = C18×C3⋊C8φ: C36/C18C2 ⊆ Aut C2×C6144(C2xC6).5C36432,126
(C2×C6).6C36 = C9×C4.Dic3φ: C36/C18C2 ⊆ Aut C2×C6722(C2xC6).6C36432,127

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