Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈.₂₆D₄

Direct product G=N×Q with N=C₇ and Q=C₈.₂₆D₄

		d	ρ	Label	ID
C₇×C₈.₂₆D₄		112	4	C7xC8.26D4	448,852

Semidirect products G=N:Q with N=C₇ and Q=C₈.₂₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈.₂₆D₄) = D₅₆⋊₄C₄	φ: C₈.₂₆D₄/C₈⋊C₄ → C₂ ⊆ Aut C₇	112	4	C7:1(C8.26D4)	448,251
C₇⋊₂(C₈.₂₆D₄) = M₄(2).₂₂D₁₄	φ: C₈.₂₆D₄/C₄≀C₂ → C₂ ⊆ Aut C₇	112	4	C7:2(C8.26D4)	448,357
C₇⋊₃(C₈.₂₆D₄) = D₅₆⋊₁₀C₄	φ: C₈.₂₆D₄/C₈.C₄ → C₂ ⊆ Aut C₇	112	4	C7:3(C8.26D4)	448,428
C₇⋊₄(C₈.₂₆D₄) = C₅₆.₅₀D₄	φ: C₈.₂₆D₄/C₈○D₄ → C₂ ⊆ Aut C₇	112	4	C7:4(C8.26D4)	448,679
C₇⋊₅(C₈.₂₆D₄) = D₈⋊₄Dic₇	φ: C₈.₂₆D₄/C₄○D₈ → C₂ ⊆ Aut C₇	112	4	C7:5(C8.26D4)	448,731

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁