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

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

		d	ρ	Label	ID
D₄×C₃×C₉		108		D4xC3xC9	216,76

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₃×D₄) = D₃₆⋊C₃	φ: C₃×D₄/C₄ → C₆ ⊆ Aut C₉	36	6+	C9:1(C3xD4)	216,54
C₉⋊₂(C₃×D₄) = Dic₉⋊C₆	φ: C₃×D₄/C₂² → C₆ ⊆ Aut C₉	36	6	C9:2(C3xD4)	216,62
C₉⋊₃(C₃×D₄) = D₄×3_-¹⁺²	φ: C₃×D₄/D₄ → C₃ ⊆ Aut C₉	36	6	C9:3(C3xD4)	216,78
C₉⋊₄(C₃×D₄) = C₃×D₃₆	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₉	72	2	C9:4(C3xD4)	216,46
C₉⋊₅(C₃×D₄) = C₃×C₉⋊D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₉	36	2	C9:5(C3xD4)	216,57

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃×D₄) = D₄×C₂₇	central extension (φ=1)	108	2	C9.(C3xD4)	216,10

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