Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆.₁₁D₁₂

Direct product G=N×Q with N=C₃ and Q=C₆.₁₁D₁₂

		d	ρ	Label	ID
C₃×C₆.₁₁D₁₂		144		C3xC6.11D12	432,490

Semidirect products G=N:Q with N=C₃ and Q=C₆.₁₁D₁₂

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₆.₁₁D₁₂) = C₆².₇₉D₆	φ: C₆.₁₁D₁₂/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	72	C3:1(C6.11D12)	432,451
C₃⋊₂(C₆.₁₁D₁₂) = C₆².₁₄₈D₆	φ: C₆.₁₁D₁₂/C₆×C₁₂ → C₂ ⊆ Aut C₃	216	C3:2(C6.11D12)	432,506
C₃⋊₃(C₆.₁₁D₁₂) = C₆².₇₈D₆	φ: C₆.₁₁D₁₂/C₂²×C₃⋊S₃ → C₂ ⊆ Aut C₃	144	C3:3(C6.11D12)	432,450

Non-split extensions G=N.Q with N=C₃ and Q=C₆.₁₁D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆.₁₁D₁₂) = C₆.₁₁D₃₆	φ: C₆.₁₁D₁₂/C₆×C₁₂ → C₂ ⊆ Aut C₃	216		C3.(C6.11D12)	432,183
C₃.₂(C₆.₁₁D₁₂) = C₆².₃₁D₆	central stem extension (φ=1)	72		C3.2(C6.11D12)	432,189

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6.11D12