Extensions 1→N→G→Q→1 with N=C2×C6 and Q=3- 1+2

Direct product G=N×Q with N=C2×C6 and Q=3- 1+2
dρLabelID
C2×C6×3- 1+2108C2xC6xES-(3,1)324,153

Semidirect products G=N:Q with N=C2×C6 and Q=3- 1+2
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊13- 1+2 = C3×C9⋊A4φ: 3- 1+2/C9C3 ⊆ Aut C2×C6108(C2xC6):1ES-(3,1)324,127
(C2×C6)⋊23- 1+2 = C3×C32.A4φ: 3- 1+2/C32C3 ⊆ Aut C2×C654(C2xC6):2ES-(3,1)324,134

Non-split extensions G=N.Q with N=C2×C6 and Q=3- 1+2
extensionφ:Q→Aut NdρLabelID
(C2×C6).13- 1+2 = C62.12C32φ: 3- 1+2/C9C3 ⊆ Aut C2×C6162(C2xC6).1ES-(3,1)324,48
(C2×C6).23- 1+2 = C62.16C32φ: 3- 1+2/C9C3 ⊆ Aut C2×C6108(C2xC6).2ES-(3,1)324,52
(C2×C6).33- 1+2 = C62.11C32φ: 3- 1+2/C32C3 ⊆ Aut C2×C6162(C2xC6).3ES-(3,1)324,47
(C2×C6).43- 1+2 = C62⋊C9φ: 3- 1+2/C32C3 ⊆ Aut C2×C654(C2xC6).4ES-(3,1)324,59
(C2×C6).53- 1+2 = C22×C32⋊C9central extension (φ=1)108(C2xC6).5ES-(3,1)324,82
(C2×C6).63- 1+2 = C22×C9⋊C9central extension (φ=1)324(C2xC6).6ES-(3,1)324,83

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