Extensions 1→N→G→Q→1 with N=C₂² and Q=D₅₆

Direct product G=N×Q with N=C₂² and Q=D₅₆

		d	ρ	Label	ID
C₂²×D₅₆		224		C2^2xD56	448,1193

Semidirect products G=N:Q with N=C₂² and Q=D₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₅₆ = C₅₆⋊₂₉D₄	φ: D₅₆/C₅₆ → C₂ ⊆ Aut C₂²	224		C2^2:1D56	448,649
C₂²⋊₂D₅₆ = D₂₈⋊₁₃D₄	φ: D₅₆/D₂₈ → C₂ ⊆ Aut C₂²	112		C2^2:2D56	448,266

Non-split extensions G=N.Q with N=C₂² and Q=D₅₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₅₆ = D₁₁₂⋊₇C₂	φ: D₅₆/C₅₆ → C₂ ⊆ Aut C₂²	224	2	C2^2.1D56	448,438
C₂².₂D₅₆ = C₂².₂D₅₆	φ: D₅₆/D₂₈ → C₂ ⊆ Aut C₂²	112		C2^2.2D56	448,27
C₂².₃D₅₆ = D₅₆⋊₂C₄	φ: D₅₆/D₂₈ → C₂ ⊆ Aut C₂²	112	4	C2^2.3D56	448,75
C₂².₄D₅₆ = C₂².D₅₆	φ: D₅₆/D₂₈ → C₂ ⊆ Aut C₂²	224		C2^2.4D56	448,270
C₂².₅D₅₆ = C₁₆⋊D₁₄	φ: D₅₆/D₂₈ → C₂ ⊆ Aut C₂²	112	4+	C2^2.5D56	448,442
C₂².₆D₅₆ = C₁₆.D₁₄	φ: D₅₆/D₂₈ → C₂ ⊆ Aut C₂²	224	4-	C2^2.6D56	448,443
C₂².₇D₅₆ = C₅₆.₇₈D₄	central extension (φ=1)	448		C2^2.7D56	448,60
C₂².₈D₅₆ = C₁₁₂⋊₅C₄	central extension (φ=1)	448		C2^2.8D56	448,61
C₂².₉D₅₆ = C₁₁₂⋊₆C₄	central extension (φ=1)	448		C2^2.9D56	448,62
C₂².₁₀D₅₆ = C₂.D₁₁₂	central extension (φ=1)	224		C2^2.10D56	448,66
C₂².₁₁D₅₆ = C₂₈.₉C₄²	central extension (φ=1)	448		C2^2.11D56	448,108
C₂².₁₂D₅₆ = C₂×D₁₁₂	central extension (φ=1)	224		C2^2.12D56	448,436
C₂².₁₃D₅₆ = C₂×C₁₁₂⋊C₂	central extension (φ=1)	224		C2^2.13D56	448,437
C₂².₁₄D₅₆ = C₂×Dic₅₆	central extension (φ=1)	448		C2^2.14D56	448,439
C₂².₁₅D₅₆ = C₂×C₅₆⋊₁C₄	central extension (φ=1)	448		C2^2.15D56	448,639
C₂².₁₆D₅₆ = C₂×C₂.D₅₆	central extension (φ=1)	224		C2^2.16D56	448,646

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