Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×F₈

Direct product G=N×Q with N=C₄ and Q=C₂×F₈

		d	ρ	Label	ID
C₂×C₄×F₈		56		C2xC4xF8	448,1362

Semidirect products G=N:Q with N=C₄ and Q=C₂×F₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×F₈) = D₄×F₈	φ: C₂×F₈/F₈ → C₂ ⊆ Aut C₄	28	14+	C4:(C2xF8)	448,1363

Non-split extensions G=N.Q with N=C₄ and Q=C₂×F₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₂×F₈) = Q₈×F₈	φ: C₂×F₈/F₈ → C₂ ⊆ Aut C₄	56	14-	C4.(C2xF8)	448,1364
C₄.₂(C₂×F₈) = C₈×F₈	central extension (φ=1)	56	7	C4.2(C2xF8)	448,919

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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×F8