Extensions 1→N→G→Q→1 with N=C₂²×D₇ and Q=Q₈

Direct product G=N×Q with N=C₂²×D₇ and Q=Q₈

		d	ρ	Label	ID
C₂²×Q₈×D₇		224		C2^2xQ8xD7	448,1372

Semidirect products G=N:Q with N=C₂²×D₇ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇)⋊₁Q₈ = (C₂×C₄).₂₀D₂₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×D₇	224		(C2^2xD7):1Q8	448,207
(C₂²×D₇)⋊₂Q₈ = (C₂²×Q₈)⋊D₇	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×D₇	224		(C2^2xD7):2Q8	448,765
(C₂²×D₇)⋊₃Q₈ = C₁₄.₅₁2₊¹⁺⁴	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×D₇	112		(C2^2xD7):3Q8	448,1087
(C₂²×D₇)⋊₄Q₈ = C₂×D₁₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×D₇	224		(C2^2xD7):4Q8	448,961
(C₂²×D₇)⋊₅Q₈ = C₂×D₁₄⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×D₇	224		(C2^2xD7):5Q8	448,962
(C₂²×D₇)⋊₆Q₈ = D₇×C₂²⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×D₇	112		(C2^2xD7):6Q8	448,1079
(C₂²×D₇)⋊₇Q₈ = C₂×D₁₄⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×D₇	224		(C2^2xD7):7Q8	448,1266

Non-split extensions G=N.Q with N=C₂²×D₇ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇).₁Q₈ = (C₂²×D₇).Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×D₇	224		(C2^2xD7).1Q8	448,210
(C₂²×D₇).₂Q₈ = (C₂×C₂₈).₃₃D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×D₇	224		(C2^2xD7).2Q8	448,211
(C₂²×D₇).₃Q₈ = M₄(2).₂₅D₁₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×D₇	112	4	(C2^2xD7).3Q8	448,427
(C₂²×D₇).₄Q₈ = (C₂×C₂₈).₂₈₉D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×D₇	224		(C2^2xD7).4Q8	448,526
(C₂²×D₇).₅Q₈ = (C₂×C₄).₄₅D₂₈	φ: Q₈/C₂ → C₂² ⊆ Out C₂²×D₇	224		(C2^2xD7).5Q8	448,528
(C₂²×D₇).₆Q₈ = D₁₄⋊(C₄⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×D₇	224		(C2^2xD7).6Q8	448,201
(C₂²×D₇).₇Q₈ = D₁₄⋊C₄⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×D₇	224		(C2^2xD7).7Q8	448,202
(C₂²×D₇).₈Q₈ = D₇×C₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×D₇	112	4	(C2^2xD7).8Q8	448,426
(C₂²×D₇).₉Q₈ = C₄⋊(D₁₄⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×D₇	224		(C2^2xD7).9Q8	448,521
(C₂²×D₇).₁₀Q₈ = D₁₄⋊C₄⋊₆C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₂²×D₇	224		(C2^2xD7).10Q8	448,523
(C₂²×D₇).₁₁Q₈ = D₇×C₂.C₄²	φ: trivial image	224		(C2^2xD7).11Q8	448,197
(C₂²×D₇).₁₂Q₈ = C₂×D₇×C₄⋊C₄	φ: trivial image	224		(C2^2xD7).12Q8	448,954

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁