Extensions 1→N→G→Q→1 with N=C₈×Q₈ and Q=C₂

Direct product G=N×Q with N=C₈×Q₈ and Q=C₂

		d	ρ	Label	ID
Q₈×C₂×C₈		128		Q8xC2xC8	128,1690

Semidirect products G=N:Q with N=C₈×Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₈×Q₈)⋊₁C₂ = C₈×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):1C2	128,308
(C₈×Q₈)⋊₂C₂ = SD₁₆⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):2C2	128,310
(C₈×Q₈)⋊₃C₂ = C₄².₆₉₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):3C2	128,1714
(C₈×Q₈)⋊₄C₂ = C₄².₆₉₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):4C2	128,1720
(C₈×Q₈)⋊₅C₂ = C₈⋊₁₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):5C2	128,400
(C₈×Q₈)⋊₆C₂ = Q₈.₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):6C2	128,414
(C₈×Q₈)⋊₇C₂ = Q₈⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):7C2	128,2090
(C₈×Q₈)⋊₈C₂ = Q₈×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):8C2	128,2110
(C₈×Q₈)⋊₉C₂ = Q₈⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):9C2	128,2123
(C₈×Q₈)⋊₁₀C₂ = C₄².₅₀₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):10C2	128,2092
(C₈×Q₈)⋊₁₁C₂ = C₄².₅₀₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):11C2	128,2093
(C₈×Q₈)⋊₁₂C₂ = C₄².₅₀₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):12C2	128,2096
(C₈×Q₈)⋊₁₃C₂ = C₄².₅₀₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):13C2	128,2097
(C₈×Q₈)⋊₁₄C₂ = D₈⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):14C2	128,2112
(C₈×Q₈)⋊₁₅C₂ = SD₁₆⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):15C2	128,2113
(C₈×Q₈)⋊₁₆C₂ = C₄².₅₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):16C2	128,2125
(C₈×Q₈)⋊₁₇C₂ = C₄².₅₂₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):17C2	128,2126
(C₈×Q₈)⋊₁₈C₂ = C₄².₅₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):18C2	128,2128
(C₈×Q₈)⋊₁₉C₂ = C₈⋊₁₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):19C2	128,398
(C₈×Q₈)⋊₂₀C₂ = Q₈.₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):20C2	128,410
(C₈×Q₈)⋊₂₁C₂ = Q₈⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):21C2	128,2091
(C₈×Q₈)⋊₂₂C₂ = Q₈⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):22C2	128,2094
(C₈×Q₈)⋊₂₃C₂ = Q₈×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):23C2	128,2111
(C₈×Q₈)⋊₂₄C₂ = Q₈⋊₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):24C2	128,2124
(C₈×Q₈)⋊₂₅C₂ = C₈⋊₁₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):25C2	128,315
(C₈×Q₈)⋊₂₆C₂ = Q₈⋊₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):26C2	128,320
(C₈×Q₈)⋊₂₇C₂ = C₄².₂₈₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):27C2	128,1692
(C₈×Q₈)⋊₂₈C₂ = M₄(2)⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):28C2	128,1694
(C₈×Q₈)⋊₂₉C₂ = Q₈×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):29C2	128,1695
(C₈×Q₈)⋊₃₀C₂ = C₄².₂₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):30C2	128,1698
(C₈×Q₈)⋊₃₁C₂ = C₄².₂₉₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):31C2	128,1701
(C₈×Q₈)⋊₃₂C₂ = Q₈⋊₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):32C2	128,1703
(C₈×Q₈)⋊₃₃C₂ = Q₈.₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):33C2	128,1716
(C₈×Q₈)⋊₃₄C₂ = C₄².₆₉₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):34C2	128,1717
(C₈×Q₈)⋊₃₅C₂ = C₄².₃₀₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):35C2	128,1718
(C₈×Q₈)⋊₃₆C₂ = Q₈⋊₇M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):36C2	128,1723
(C₈×Q₈)⋊₃₇C₂ = C₄².₃₀₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):37C2	128,1725
(C₈×Q₈)⋊₃₈C₂ = C₄².₃₀₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	64	(C8xQ8):38C2	128,1726
(C₈×Q₈)⋊₃₉C₂ = C₈×C₄○D₄	φ: trivial image	64	(C8xQ8):39C2	128,1696

Non-split extensions G=N.Q with N=C₈×Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₈×Q₈).₁C₂ = Q₈⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).1C2	128,69
(C₈×Q₈).₂C₂ = C₈×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).2C2	128,309
(C₈×Q₈).₃C₂ = Q₁₆⋊₅C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).3C2	128,311
(C₈×Q₈).₄C₂ = Q₈⋊₁Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).4C2	128,402
(C₈×Q₈).₅C₂ = C₈⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).5C2	128,406
(C₈×Q₈).₆C₂ = Q₈.₁Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).6C2	128,408
(C₈×Q₈).₇C₂ = Q₈.₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).7C2	128,416
(C₈×Q₈).₈C₂ = Q₈⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).8C2	128,2095
(C₈×Q₈).₉C₂ = Q₈×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).9C2	128,2114
(C₈×Q₈).₁₀C₂ = Q₈⋊₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).10C2	128,2127
(C₈×Q₈).₁₁C₂ = Q₁₆⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).11C2	128,2115
(C₈×Q₈).₁₂C₂ = C₈⋊₈Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).12C2	128,404
(C₈×Q₈).₁₃C₂ = Q₈.₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).13C2	128,412
(C₈×Q₈).₁₄C₂ = C₈⋊₉Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).14C2	128,316
(C₈×Q₈).₁₅C₂ = Q₈.M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).15C2	128,319
(C₈×Q₈).₁₆C₂ = C₁₆⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×Q₈	128	(C8xQ8).16C2	128,915
(C₈×Q₈).₁₇C₂ = Q₈×C₁₆	φ: trivial image	128	(C8xQ8).17C2	128,914

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Extensions 1→N→G→Q→1 with N=C8×Q8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₈×Q₈ and Q=C₂