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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₉×C₂²⋊C₄) = C₉×D₆⋊C₄	φ: C₉×C₂²⋊C₄/C₂×C₃₆ → C₂ ⊆ Aut C₃	144		C3:1(C9xC2^2:C4)	432,135
C₃⋊₂(C₉×C₂²⋊C₄) = C₉×C₆.D₄	φ: C₉×C₂²⋊C₄/C₂²×C₁₈ → C₂ ⊆ Aut C₃	72		C3:2(C9xC2^2:C4)	432,165

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉×C₂²⋊C₄) = C₂²⋊C₄×C₂₇	central extension (φ=1)	216		C3.(C9xC2^2:C4)	432,21

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