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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊D₅₄ = C₂×C₉.S₄	φ: D₅₄/C₁₈ → S₃ ⊆ Aut C₂²	54	6+	C2^2:D54	432,224
C₂²⋊₂D₅₄ = D₄×D₂₇	φ: D₅₄/D₂₇ → C₂ ⊆ Aut C₂²	108	4+	C2^2:2D54	432,47
C₂²⋊₃D₅₄ = C₂×C₂₇⋊D₄	φ: D₅₄/C₅₄ → C₂ ⊆ Aut C₂²	216		C2^2:3D54	432,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₅₄ = D₄⋊₂D₂₇	φ: D₅₄/D₂₇ → C₂ ⊆ Aut C₂²	216	4-	C2^2.1D54	432,48
C₂².₂D₅₄ = D₁₀₈⋊₅C₂	φ: D₅₄/C₅₄ → C₂ ⊆ Aut C₂²	216	2	C2^2.2D54	432,46
C₂².₃D₅₄ = C₄×Dic₂₇	central extension (φ=1)	432		C2^2.3D54	432,11
C₂².₄D₅₄ = Dic₂₇⋊C₄	central extension (φ=1)	432		C2^2.4D54	432,12
C₂².₅D₅₄ = C₄⋊Dic₂₇	central extension (φ=1)	432		C2^2.5D54	432,13
C₂².₆D₅₄ = D₅₄⋊C₄	central extension (φ=1)	216		C2^2.6D54	432,14
C₂².₇D₅₄ = C₅₄.D₄	central extension (φ=1)	216		C2^2.7D54	432,19
C₂².₈D₅₄ = C₂×Dic₅₄	central extension (φ=1)	432		C2^2.8D54	432,43
C₂².₉D₅₄ = C₂×C₄×D₂₇	central extension (φ=1)	216		C2^2.9D54	432,44
C₂².₁₀D₅₄ = C₂×D₁₀₈	central extension (φ=1)	216		C2^2.10D54	432,45
C₂².₁₁D₅₄ = C₂²×Dic₂₇	central extension (φ=1)	432		C2^2.11D54	432,51

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