Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₂₇

Direct product G=N×Q with N=C₄ and Q=Dic₂₇

		d	ρ	Label	ID
C₄×Dic₂₇		432		C4xDic27	432,11

Semidirect products G=N:Q with N=C₄ and Q=Dic₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₂₇ = C₄⋊Dic₂₇	φ: Dic₂₇/C₅₄ → C₂ ⊆ Aut C₄	432		C4:Dic27	432,13

Non-split extensions G=N.Q with N=C₄ and Q=Dic₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₂₇ = C₄.Dic₂₇	φ: Dic₂₇/C₅₄ → C₂ ⊆ Aut C₄	216	2	C4.Dic27	432,10
C₄.₂Dic₂₇ = C₂₇⋊C₁₆	central extension (φ=1)	432	2	C4.2Dic27	432,1
C₄.₃Dic₂₇ = C₂×C₂₇⋊C₈	central extension (φ=1)	432		C4.3Dic27	432,9

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Extensions 1→N→G→Q→1 with N=C4 and Q=Dic27