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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₁₆⋊₁C₄ = C₅₆.Q₈	φ: C₄/C₁ → C₄ ⊆ Out C₇⋊C₁₆	112	4	C7:C16:1C4	448,44
C₇⋊C₁₆⋊₂C₄ = C₈.Dic₁₄	φ: C₄/C₁ → C₄ ⊆ Out C₇⋊C₁₆	112	4	C7:C16:2C4	448,51
C₇⋊C₁₆⋊₃C₄ = C₂₈.₁₅C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₇⋊C₁₆	112	4	C7:C16:3C4	448,23
C₇⋊C₁₆⋊₄C₄ = C₁₁₂⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₇⋊C₁₆	112	4	C7:C16:4C4	448,69
C₇⋊C₁₆⋊₅C₄ = C₈.₄Dic₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₁₆	448		C7:C16:5C4	448,46
C₇⋊C₁₆⋊₆C₄ = C₈.₅Dic₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₁₆	448		C7:C16:6C4	448,47
C₇⋊C₁₆⋊₇C₄ = C₅₆.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₁₆	448		C7:C16:7C4	448,18
C₇⋊C₁₆⋊₈C₄ = C₁₁₂⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₁₆	448		C7:C16:8C4	448,59
C₇⋊C₁₆⋊₉C₄ = C₁₆×Dic₇	φ: trivial image	448		C7:C16:9C4	448,57

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₁₆.₁C₄ = C₈.₇Dic₁₄	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224	4	C7:C16.1C4	448,50
C₇⋊C₁₆.₂C₄ = C₃₂⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₇⋊C₁₆	224	2	C7:C16.2C4	448,4
C₇⋊C₁₆.₃C₄ = D₇×C₃₂	φ: trivial image	224	2	C7:C16.3C4	448,3

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