Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈○D₈

Direct product G=N×Q with N=C₇ and Q=C₈○D₈

		d	ρ	Label	ID
C₇×C₈○D₈		112	2	C7xC8oD8	448,851

Semidirect products G=N:Q with N=C₇ and Q=C₈○D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈○D₈) = D₅₆⋊₁₁C₄	φ: C₈○D₈/C₄×C₈ → C₂ ⊆ Aut C₇	112	2	C7:1(C8oD8)	448,234
C₇⋊₂(C₈○D₈) = C₄².₁₉₆D₁₄	φ: C₈○D₈/C₄≀C₂ → C₂ ⊆ Aut C₇	112	4	C7:2(C8oD8)	448,358
C₇⋊₃(C₈○D₈) = D₅₆⋊₇C₄	φ: C₈○D₈/C₈.C₄ → C₂ ⊆ Aut C₇	112	4	C7:3(C8oD8)	448,429
C₇⋊₄(C₈○D₈) = C₅₆.₉₃D₄	φ: C₈○D₈/C₈○D₄ → C₂ ⊆ Aut C₇	112	4	C7:4(C8oD8)	448,678
C₇⋊₅(C₈○D₈) = D₈⋊₅Dic₇	φ: C₈○D₈/C₄○D₈ → C₂ ⊆ Aut C₇	112	4	C7:5(C8oD8)	448,730

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁