Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃×C₂²⋊C₄

Direct product G=N×Q with N=C₉ and Q=C₃×C₂²⋊C₄

		d	ρ	Label	ID
C₂²⋊C₄×C₃×C₉		216		C2^2:C4xC3xC9	432,203

Semidirect products G=N:Q with N=C₉ and Q=C₃×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₃×C₂²⋊C₄) = D₁₈⋊C₁₂	φ: C₃×C₂²⋊C₄/C₂×C₄ → C₆ ⊆ Aut C₉	72		C9:1(C3xC2^2:C4)	432,147
C₉⋊₂(C₃×C₂²⋊C₄) = C₆².₂₇D₆	φ: C₃×C₂²⋊C₄/C₂³ → C₆ ⊆ Aut C₉	72		C9:2(C3xC2^2:C4)	432,167
C₉⋊₃(C₃×C₂²⋊C₄) = C₂²⋊C₄×3_-¹⁺²	φ: C₃×C₂²⋊C₄/C₂²⋊C₄ → C₃ ⊆ Aut C₉	72		C9:3(C3xC2^2:C4)	432,205
C₉⋊₄(C₃×C₂²⋊C₄) = C₃×D₁₈⋊C₄	φ: C₃×C₂²⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₉	144		C9:4(C3xC2^2:C4)	432,134
C₉⋊₅(C₃×C₂²⋊C₄) = C₃×C₁₈.D₄	φ: C₃×C₂²⋊C₄/C₂²×C₆ → C₂ ⊆ Aut C₉	72		C9:5(C3xC2^2:C4)	432,164

Non-split extensions G=N.Q with N=C₉ and Q=C₃×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃×C₂²⋊C₄) = C₂²⋊C₄×C₂₇	central extension (φ=1)	216		C9.(C3xC2^2:C4)	432,21

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