Extensions 1→N→G→Q→1 with N=D₅₄ and Q=C₂²

Direct product G=N×Q with N=D₅₄ and Q=C₂²

		d	ρ	Label	ID
C₂³×D₂₇		216		C2^3xD27	432,227

Semidirect products G=N:Q with N=D₅₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₄⋊₁C₂² = C₂×D₁₀₈	φ: C₂²/C₂ → C₂ ⊆ Out D₅₄	216		D54:1C2^2	432,45
D₅₄⋊₂C₂² = D₄×D₂₇	φ: C₂²/C₂ → C₂ ⊆ Out D₅₄	108	4+	D54:2C2^2	432,47
D₅₄⋊₃C₂² = C₂×C₂₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₄	216		D54:3C2^2	432,52

Non-split extensions G=N.Q with N=D₅₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₄.₁C₂² = D₁₀₈⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₅₄	216	2	D54.1C2^2	432,46
D₅₄.₂C₂² = D₄⋊₂D₂₇	φ: C₂²/C₂ → C₂ ⊆ Out D₅₄	216	4-	D54.2C2^2	432,48
D₅₄.₃C₂² = Q₈⋊₃D₂₇	φ: C₂²/C₂ → C₂ ⊆ Out D₅₄	216	4+	D54.3C2^2	432,50
D₅₄.₄C₂² = C₂×C₄×D₂₇	φ: trivial image	216		D54.4C2^2	432,44
D₅₄.₅C₂² = Q₈×D₂₇	φ: trivial image	216	4-	D54.5C2^2	432,49

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