Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₂₈

Direct product G=N×Q with N=C₂³ and Q=C₂₈

		d	ρ	Label	ID
C₂³×C₂₈		224		C2^3xC28	224,189

Semidirect products G=N:Q with N=C₂³ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₂₈ = C₄×F₈	φ: C₂₈/C₄ → C₇ ⊆ Aut C₂³	28	7	C2^3:C28	224,173
C₂³⋊₂C₂₈ = C₇×C₂³⋊C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂³	56	4	C2^3:2C28	224,48
C₂³⋊₃C₂₈ = C₁₄×C₂²⋊C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3:3C28	224,150

Non-split extensions G=N.Q with N=C₂³ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₂₈ = C₇×C₄.D₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂³	56	4	C2^3.C28	224,49
C₂³.₂C₂₈ = C₇×C₂²⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.2C28	224,47
C₂³.₃C₂₈ = C₁₄×M₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.3C28	224,165

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Extensions 1→N→G→Q→1 with N=C23 and Q=C28