Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₈

Direct product G=N×Q with N=C₂₈ and Q=C₈

		d	ρ	Label	ID
C₄×C₅₆		224		C4xC56	224,45

Semidirect products G=N:Q with N=C₂₈ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈⋊₁C₈ = C₂₈⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28:1C8	224,10
C₂₈⋊₂C₈ = C₄×C₇⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28:2C8	224,8
C₂₈⋊₃C₈ = C₇×C₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28:3C8	224,54

Non-split extensions G=N.Q with N=C₂₈ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁C₈ = C₂₈.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂₈	112	2	C28.1C8	224,18
C₂₈.₂C₈ = C₇⋊C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₂₈	224	2	C28.2C8	224,1
C₂₈.₃C₈ = C₂×C₇⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂₈	224		C28.3C8	224,17
C₂₈.₄C₈ = C₇×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂₈	112	2	C28.4C8	224,59

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