Extensions 1→N→G→Q→1 with N=D₂₈ and Q=C₄

Direct product G=N×Q with N=D₂₈ and Q=C₄

		d	ρ	Label	ID
C₄×D₂₈		112		C4xD28	224,68

Semidirect products G=N:Q with N=D₂₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₈⋊₁C₄ = Dic₁₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₈	56	2	D28:1C4	224,11
D₂₈⋊₂C₄ = C₂.D₅₆	φ: C₄/C₂ → C₂ ⊆ Out D₂₈	112		D28:2C4	224,27
D₂₈⋊₃C₄ = C₁₄.D₈	φ: C₄/C₂ → C₂ ⊆ Out D₂₈	112		D28:3C4	224,15
D₂₈⋊₄C₄ = D₂₈⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₈	56	4	D28:4C4	224,31
D₂₈⋊₅C₄ = D₂₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₈	112		D28:5C4	224,88

Non-split extensions G=N.Q with N=D₂₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₈.C₄ = D₂₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₂₈	112	4	D28.C4	224,102
D₂₈.₂C₄ = D₂₈.₂C₄	φ: trivial image	112	2	D28.2C4	224,96

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