Extensions 1→N→G→Q→1 with N=C₉ and Q=C₂×C₃⋊D₄

Direct product G=N×Q with N=C₉ and Q=C₂×C₃⋊D₄

		d	ρ	Label	ID
C₁₈×C₃⋊D₄		72		C18xC3:D4	432,375

Semidirect products G=N:Q with N=C₉ and Q=C₂×C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₂×C₃⋊D₄) = C₂×C₃⋊D₃₆	φ: C₂×C₃⋊D₄/C₂×Dic₃ → C₂ ⊆ Aut C₉	72		C9:1(C2xC3:D4)	432,307
C₉⋊₂(C₂×C₃⋊D₄) = D₉×C₃⋊D₄	φ: C₂×C₃⋊D₄/C₃⋊D₄ → C₂ ⊆ Aut C₉	72	4	C9:2(C2xC3:D4)	432,314
C₉⋊₃(C₂×C₃⋊D₄) = C₂×D₆⋊D₉	φ: C₂×C₃⋊D₄/C₂²×S₃ → C₂ ⊆ Aut C₉	144		C9:3(C2xC3:D4)	432,311
C₉⋊₄(C₂×C₃⋊D₄) = C₂×C₆.D₁₈	φ: C₂×C₃⋊D₄/C₂²×C₆ → C₂ ⊆ Aut C₉	216		C9:4(C2xC3:D4)	432,397

Non-split extensions G=N.Q with N=C₉ and Q=C₂×C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₂×C₃⋊D₄) = C₂×C₂₇⋊D₄	φ: C₂×C₃⋊D₄/C₂²×C₆ → C₂ ⊆ Aut C₉	216		C9.(C2xC3:D4)	432,52

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