Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈⋊Q₈

Direct product G=N×Q with N=C₇ and Q=C₈⋊Q₈

		d	ρ	Label	ID
C₇×C₈⋊Q₈		448		C7xC8:Q8	448,909

Semidirect products G=N:Q with N=C₇ and Q=C₈⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈⋊Q₈) = C₈⋊Dic₁₄	φ: C₈⋊Q₈/C₈⋊C₄ → C₂ ⊆ Aut C₇	448		C7:1(C8:Q8)	448,236
C₇⋊₂(C₈⋊Q₈) = C₅₆⋊₃Q₈	φ: C₈⋊Q₈/C₄.Q₈ → C₂ ⊆ Aut C₇	448		C7:2(C8:Q8)	448,390
C₇⋊₃(C₈⋊Q₈) = C₅₆⋊₄Q₈	φ: C₈⋊Q₈/C₂.D₈ → C₂ ⊆ Aut C₇	448		C7:3(C8:Q8)	448,410
C₇⋊₄(C₈⋊Q₈) = C₄².₆₈D₁₄	φ: C₈⋊Q₈/C₄².C₂ → C₂ ⊆ Aut C₇	448		C7:4(C8:Q8)	448,599
C₇⋊₅(C₈⋊Q₈) = C₄².₇₆D₁₄	φ: C₈⋊Q₈/C₄⋊Q₈ → C₂ ⊆ Aut C₇	448		C7:5(C8:Q8)	448,614

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁