Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂.C₂⁵

Direct product G=N×Q with N=C₇ and Q=C₂.C₂⁵

		d	ρ	Label	ID
C₇×C₂.C₂⁵		112	4	C7xC2.C2^5	448,1391

Semidirect products G=N:Q with N=C₇ and Q=C₂.C₂⁵

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂.C₂⁵) = C₁₄.C₂⁵	φ: C₂.C₂⁵/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	112	4	C7:1(C2.C2^5)	448,1378
C₇⋊₂(C₂.C₂⁵) = D₁₄.C₂⁴	φ: C₂.C₂⁵/2₊¹⁺⁴ → C₂ ⊆ Aut C₇	112	8-	C7:2(C2.C2^5)	448,1380
C₇⋊₃(C₂.C₂⁵) = D₂₈.₃₉C₂³	φ: C₂.C₂⁵/2_-¹⁺⁴ → C₂ ⊆ Aut C₇	112	8+	C7:3(C2.C2^5)	448,1382

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁