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

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

		d	ρ	Label	ID
C₂³xC₂₈		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 = C₄xF₈	φ: C₂₈/C₄ → C₇ ⊆ Aut C₂³	28	7	C2^3:C28	224,173
C₂³:₂C₂₈ = C₇xC₂³:C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂³	56	4	C2^3:2C28	224,48
C₂³:₃C₂₈ = C₁₄xC₂²: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 = C₇xC₄.D₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂³	56	4	C2^3.C28	224,49
C₂³.₂C₂₈ = C₇xC₂²:C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.2C28	224,47
C₂³.₃C₂₈ = C₁₄xM₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂³	112		C2^3.3C28	224,165

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