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

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

		d	ρ	Label	ID
C₄⋊C₄×C₃×C₉		432		C4:C4xC3xC9	432,206

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₉×C₄⋊C₄) = C₉×Dic₃⋊C₄	φ: C₉×C₄⋊C₄/C₂×C₃₆ → C₂ ⊆ Aut C₃	144		C3:1(C9xC4:C4)	432,132
C₃⋊₂(C₉×C₄⋊C₄) = C₉×C₄⋊Dic₃	φ: C₉×C₄⋊C₄/C₂×C₃₆ → C₂ ⊆ Aut C₃	144		C3:2(C9xC4:C4)	432,133

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉×C₄⋊C₄) = C₄⋊C₄×C₂₇	central extension (φ=1)	432		C3.(C9xC4:C4)	432,22

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