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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₇⋊₁C₂² = D₄×D₂₇	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₇	108	4+	Dic27:1C2^2	432,47
Dic₂₇⋊₂C₂² = C₂×C₂₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₇	216		Dic27:2C2^2	432,52
Dic₂₇⋊₃C₂² = C₂×C₄×D₂₇	φ: trivial image	216		Dic27:3C2^2	432,44

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₇.₁C₂² = C₂×Dic₅₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₇	432		Dic27.1C2^2	432,43
Dic₂₇.₂C₂² = D₁₀₈⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₇	216	2	Dic27.2C2^2	432,46
Dic₂₇.₃C₂² = D₄⋊₂D₂₇	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₇	216	4-	Dic27.3C2^2	432,48
Dic₂₇.₄C₂² = Q₈×D₂₇	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₇	216	4-	Dic27.4C2^2	432,49
Dic₂₇.₅C₂² = Q₈⋊₃D₂₇	φ: trivial image	216	4+	Dic27.5C2^2	432,50

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