Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉×D₈

Direct product G=N×Q with N=C₃ and Q=C₉×D₈

		d	ρ	Label	ID
D₈×C₃×C₉		216		D8xC3xC9	432,215

Semidirect products G=N:Q with N=C₃ and Q=C₉×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₉×D₈) = C₉×D₂₄	φ: C₉×D₈/C₇₂ → C₂ ⊆ Aut C₃	144	2	C3:1(C9xD8)	432,112
C₃⋊₂(C₉×D₈) = C₉×D₄⋊S₃	φ: C₉×D₈/D₄×C₉ → C₂ ⊆ Aut C₃	72	4	C3:2(C9xD8)	432,150

Non-split extensions G=N.Q with N=C₃ and Q=C₉×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉×D₈) = D₈×C₂₇	central extension (φ=1)	216	2	C3.(C9xD8)	432,25

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Extensions 1→N→G→Q→1 with N=C3 and Q=C9×D8