Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₂₇

Direct product G=N×Q with N=C₂² and Q=Dic₂₇

		d	ρ	Label	ID
C₂²×Dic₂₇		432		C2^2xDic27	432,51

Semidirect products G=N:Q with N=C₂² and Q=Dic₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊Dic₂₇ = C₁₈.S₄	φ: Dic₂₇/C₁₈ → S₃ ⊆ Aut C₂²	108	6-	C2^2:Dic27	432,39
C₂²⋊₂Dic₂₇ = C₅₄.D₄	φ: Dic₂₇/C₅₄ → C₂ ⊆ Aut C₂²	216		C2^2:2Dic27	432,19

Non-split extensions G=N.Q with N=C₂² and Q=Dic₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².Dic₂₇ = C₄.Dic₂₇	φ: Dic₂₇/C₅₄ → C₂ ⊆ Aut C₂²	216	2	C2^2.Dic27	432,10
C₂².₂Dic₂₇ = C₂×C₂₇⋊C₈	central extension (φ=1)	432		C2^2.2Dic27	432,9

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Extensions 1→N→G→Q→1 with N=C22 and Q=Dic27