Extensions 1→N→G→Q→1 with N=C₄ and Q=C₇⋊C₁₆

Direct product G=N×Q with N=C₄ and Q=C₇⋊C₁₆

		d	ρ	Label	ID
C₄×C₇⋊C₁₆		448		C4xC7:C16	448,17

Semidirect products G=N:Q with N=C₄ and Q=C₇⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₇⋊C₁₆) = C₂₈⋊C₁₆	φ: C₇⋊C₁₆/C₅₆ → C₂ ⊆ Aut C₄	448		C4:(C7:C16)	448,19

Non-split extensions G=N.Q with N=C₄ and Q=C₇⋊C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₇⋊C₁₆) = C₇⋊M₆(2)	φ: C₇⋊C₁₆/C₅₆ → C₂ ⊆ Aut C₄	224	2	C4.(C7:C16)	448,56
C₄.₂(C₇⋊C₁₆) = C₇⋊C₆₄	central extension (φ=1)	448	2	C4.2(C7:C16)	448,1
C₄.₃(C₇⋊C₁₆) = C₂×C₇⋊C₃₂	central extension (φ=1)	448		C4.3(C7:C16)	448,55

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Extensions 1→N→G→Q→1 with N=C4 and Q=C7⋊C16