Extensions 1→N→G→Q→1 with N=C₉ and Q=C₆×D₄

Direct product G=N×Q with N=C₉ and Q=C₆×D₄

		d	ρ	Label	ID
D₄×C₃×C₁₈		216		D4xC3xC18	432,403

Semidirect products G=N:Q with N=C₉ and Q=C₆×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₆×D₄) = C₂×D₃₆⋊C₃	φ: C₆×D₄/C₂×C₄ → C₆ ⊆ Aut C₉	72		C9:1(C6xD4)	432,354
C₉⋊₂(C₆×D₄) = D₄×C₉⋊C₆	φ: C₆×D₄/D₄ → C₆ ⊆ Aut C₉	36	12+	C9:2(C6xD4)	432,362
C₉⋊₃(C₆×D₄) = C₂×Dic₉⋊C₆	φ: C₆×D₄/C₂³ → C₆ ⊆ Aut C₉	72		C9:3(C6xD4)	432,379
C₉⋊₄(C₆×D₄) = C₂×D₄×3_-¹⁺²	φ: C₆×D₄/C₂×D₄ → C₃ ⊆ Aut C₉	72		C9:4(C6xD4)	432,405
C₉⋊₅(C₆×D₄) = C₆×D₃₆	φ: C₆×D₄/C₂×C₁₂ → C₂ ⊆ Aut C₉	144		C9:5(C6xD4)	432,343
C₉⋊₆(C₆×D₄) = C₃×D₄×D₉	φ: C₆×D₄/C₃×D₄ → C₂ ⊆ Aut C₉	72	4	C9:6(C6xD4)	432,356
C₉⋊₇(C₆×D₄) = C₆×C₉⋊D₄	φ: C₆×D₄/C₂²×C₆ → C₂ ⊆ Aut C₉	72		C9:7(C6xD4)	432,374

Non-split extensions G=N.Q with N=C₉ and Q=C₆×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₆×D₄) = D₄×C₅₄	central extension (φ=1)	216		C9.(C6xD4)	432,54

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