Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃×C₄○D₄

Direct product G=N×Q with N=C₉ and Q=C₃×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₃×C₉		216		C4oD4xC3xC9	432,409

Semidirect products G=N:Q with N=C₉ and Q=C₃×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₃×C₄○D₄) = D₃₆⋊₆C₆	φ: C₃×C₄○D₄/C₂×C₄ → C₆ ⊆ Aut C₉	72	6	C9:1(C3xC4oD4)	432,355
C₉⋊₂(C₃×C₄○D₄) = Dic₁₈⋊₂C₆	φ: C₃×C₄○D₄/D₄ → C₆ ⊆ Aut C₉	72	12-	C9:2(C3xC4oD4)	432,363
C₉⋊₃(C₃×C₄○D₄) = D₃₆⋊₃C₆	φ: C₃×C₄○D₄/Q₈ → C₆ ⊆ Aut C₉	72	12+	C9:3(C3xC4oD4)	432,371
C₉⋊₄(C₃×C₄○D₄) = C₄○D₄×3_-¹⁺²	φ: C₃×C₄○D₄/C₄○D₄ → C₃ ⊆ Aut C₉	72	6	C9:4(C3xC4oD4)	432,411
C₉⋊₅(C₃×C₄○D₄) = C₃×D₃₆⋊₅C₂	φ: C₃×C₄○D₄/C₂×C₁₂ → C₂ ⊆ Aut C₉	72	2	C9:5(C3xC4oD4)	432,344
C₉⋊₆(C₃×C₄○D₄) = C₃×D₄⋊₂D₉	φ: C₃×C₄○D₄/C₃×D₄ → C₂ ⊆ Aut C₉	72	4	C9:6(C3xC4oD4)	432,357
C₉⋊₇(C₃×C₄○D₄) = C₃×Q₈⋊₃D₉	φ: C₃×C₄○D₄/C₃×Q₈ → C₂ ⊆ Aut C₉	144	4	C9:7(C3xC4oD4)	432,365

Non-split extensions G=N.Q with N=C₉ and Q=C₃×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃×C₄○D₄) = C₄○D₄×C₂₇	central extension (φ=1)	216	2	C9.(C3xC4oD4)	432,56

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