Extensions 1→N→G→Q→1 with N=C₂³ and Q=F₈

Direct product G=N×Q with N=C₂³ and Q=F₈

		d	ρ	Label	ID
C₂³×F₈		56		C2^3xF8	448,1392

Semidirect products G=N:Q with N=C₂³ and Q=F₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊₁F₈ = C₂⁶⋊C₇	φ: F₈/C₂³ → C₇ ⊆ Aut C₂³	28		C2^3:1F8	448,1393
C₂³⋊₂F₈ = C₂³⋊F₈	φ: F₈/C₂³ → C₇ ⊆ Aut C₂³	14	7+	C2^3:2F8	448,1394

Non-split extensions G=N.Q with N=C₂³ and Q=F₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁F₈ = C₄³⋊C₇	φ: F₈/C₂³ → C₇ ⊆ Aut C₂³	28	7	C2^3.1F8	448,178
C₂³.₂F₈ = C₂³.F₈	φ: F₈/C₂³ → C₇ ⊆ Aut C₂³	56	14	C2^3.2F8	448,179

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Extensions 1→N→G→Q→1 with N=C23 and Q=F8