Extensions 1→N→G→Q→1 with N=C₄ and Q=C₇⋊C₈

Direct product G=N×Q with N=C₄ and Q=C₇⋊C₈

		d	ρ	Label	ID
C₄×C₇⋊C₈		224		C4xC7:C8	224,8

Semidirect products G=N:Q with N=C₄ and Q=C₇⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₇⋊C₈) = C₂₈⋊C₈	φ: C₇⋊C₈/C₂₈ → C₂ ⊆ Aut C₄	224		C4:(C7:C8)	224,10

Non-split extensions G=N.Q with N=C₄ and Q=C₇⋊C₈

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

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Extensions 1→N→G→Q→1 with N=C4 and Q=C7⋊C8