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Extensions 1→N→G→Q→1 with N=C3×C62 and Q=C3

Direct product G=N×Q with N=C3×C62 and Q=C3
dρLabelID
C32×C62324C3^2xC6^2324,176

Semidirect products G=N:Q with N=C3×C62 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C3×C62)⋊1C3 = C33⋊2A4φ: C3/C1 → C3 ⊆ Aut C3×C62183(C3xC6^2):1C3324,60
(C3×C62)⋊2C3 = C22×C3≀C3φ: C3/C1 → C3 ⊆ Aut C3×C6236(C3xC6^2):2C3324,86
(C3×C62)⋊3C3 = C3×C32⋊A4φ: C3/C1 → C3 ⊆ Aut C3×C6254(C3xC6^2):3C3324,135
(C3×C62)⋊4C3 = C2×C6×He3φ: C3/C1 → C3 ⊆ Aut C3×C62108(C3xC6^2):4C3324,152
(C3×C62)⋊5C3 = A4×C33φ: C3/C1 → C3 ⊆ Aut C3×C62108(C3xC6^2):5C3324,171

Non-split extensions G=N.Q with N=C3×C62 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C3×C62).1C3 = C62⋊C9φ: C3/C1 → C3 ⊆ Aut C3×C6254(C3xC6^2).1C3324,59
(C3×C62).2C3 = C22×C32⋊C9φ: C3/C1 → C3 ⊆ Aut C3×C62108(C3xC6^2).2C3324,82
(C3×C62).3C3 = C32×C3.A4φ: C3/C1 → C3 ⊆ Aut C3×C62162(C3xC6^2).3C3324,133
(C3×C62).4C3 = C3×C32.A4φ: C3/C1 → C3 ⊆ Aut C3×C6254(C3xC6^2).4C3324,134
(C3×C62).5C3 = C2×C6×3- 1+2φ: C3/C1 → C3 ⊆ Aut C3×C62108(C3xC6^2).5C3324,153

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