Extensions 1→N→G→Q→1 with N=C₂² and Q=D₂₈

Direct product G=N×Q with N=C₂² and Q=D₂₈

		d	ρ	Label	ID
C₂²×D₂₈		112		C2^2xD28	224,176

Semidirect products G=N:Q with N=C₂² and Q=D₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₂₈ = C₂₈⋊₇D₄	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂²	112		C2^2:1D28	224,125
C₂²⋊₂D₂₈ = C₂²⋊D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂²	56		C2^2:2D28	224,77

Non-split extensions G=N.Q with N=C₂² and Q=D₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₂₈ = D₅₆⋊₇C₂	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₂²	112	2	C2^2.1D28	224,99
C₂².₂D₂₈ = C₂³.₁D₁₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂²	56	4	C2^2.2D28	224,12
C₂².₃D₂₈ = D₂₈⋊₄C₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂²	56	4	C2^2.3D28	224,31
C₂².₄D₂₈ = C₂².D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.4D28	224,81
C₂².₅D₂₈ = C₈⋊D₁₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂²	56	4+	C2^2.5D28	224,103
C₂².₆D₂₈ = C₈.D₁₄	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₂²	112	4-	C2^2.6D28	224,104
C₂².₇D₂₈ = C₂₈.₄₄D₄	central extension (φ=1)	224		C2^2.7D28	224,22
C₂².₈D₂₈ = C₈⋊Dic₇	central extension (φ=1)	224		C2^2.8D28	224,23
C₂².₉D₂₈ = C₅₆⋊₁C₄	central extension (φ=1)	224		C2^2.9D28	224,24
C₂².₁₀D₂₈ = C₂.D₅₆	central extension (φ=1)	112		C2^2.10D28	224,27
C₂².₁₁D₂₈ = C₁₄.C₄²	central extension (φ=1)	224		C2^2.11D28	224,37
C₂².₁₂D₂₈ = C₂×C₅₆⋊C₂	central extension (φ=1)	112		C2^2.12D28	224,97
C₂².₁₃D₂₈ = C₂×D₅₆	central extension (φ=1)	112		C2^2.13D28	224,98
C₂².₁₄D₂₈ = C₂×Dic₂₈	central extension (φ=1)	224		C2^2.14D28	224,100
C₂².₁₅D₂₈ = C₂×C₄⋊Dic₇	central extension (φ=1)	224		C2^2.15D28	224,120
C₂².₁₆D₂₈ = C₂×D₁₄⋊C₄	central extension (φ=1)	112		C2^2.16D28	224,122

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