Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=C₂²

Direct product G=N×Q with N=C₂×Q₈ and Q=C₂²

		d	ρ	Label	ID
Q₈×C₂³		64		Q8xC2^3	64,262

Semidirect products G=N:Q with N=C₂×Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁C₂² = C₂²⋊SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16		(C2xQ8):1C2^2	64,131
(C₂×Q₈)⋊₂C₂² = D₄.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16	4	(C2xQ8):2C2^2	64,136
(C₂×Q₈)⋊₃C₂² = C₂².₃₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16		(C2xQ8):3C2^2	64,219
(C₂×Q₈)⋊₄C₂² = C₂³⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16		(C2xQ8):4C2^2	64,224
(C₂×Q₈)⋊₅C₂² = C₂².₄₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16		(C2xQ8):5C2^2	64,232
(C₂×Q₈)⋊₆C₂² = C₂⁴⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16		(C2xQ8):6C2^2	64,242
(C₂×Q₈)⋊₇C₂² = D₄○SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16	4	(C2xQ8):7C2^2	64,258
(C₂×Q₈)⋊₈C₂² = C₂×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8):8C2^2	64,204
(C₂×Q₈)⋊₉C₂² = C₂².₁₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	16		(C2xQ8):9C2^2	64,206
(C₂×Q₈)⋊₁₀C₂² = C₂×C₄.₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8):10C2^2	64,207
(C₂×Q₈)⋊₁₁C₂² = C₂².₂₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	16		(C2xQ8):11C2^2	64,216
(C₂×Q₈)⋊₁₂C₂² = D₄⋊₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	16		(C2xQ8):12C2^2	64,227
(C₂×Q₈)⋊₁₃C₂² = C₂²×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8):13C2^2	64,251
(C₂×Q₈)⋊₁₄C₂² = C₂×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	16		(C2xQ8):14C2^2	64,254
(C₂×Q₈)⋊₁₅C₂² = C₂×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8):15C2^2	64,255
(C₂×Q₈)⋊₁₆C₂² = D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	16	4	(C2xQ8):16C2^2	64,256
(C₂×Q₈)⋊₁₇C₂² = C₂×2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8):17C2^2	64,265
(C₂×Q₈)⋊₁₈C₂² = C₂.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	16	4	(C2xQ8):18C2^2	64,266
(C₂×Q₈)⋊₁₉C₂² = C₂²×C₄○D₄	φ: trivial image	32		(C2xQ8):19C2^2	64,263
(C₂×Q₈)⋊₂₀C₂² = C₂×2₊¹⁺⁴	φ: trivial image	16		(C2xQ8):20C2^2	64,264

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁C₂² = C₄².C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16	4	(C2xQ8).1C2^2	64,36
(C₂×Q₈).₂C₂² = C₄².₃C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16	4-	(C2xQ8).2C2^2	64,37
(C₂×Q₈).₃C₂² = C₂²⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).3C2^2	64,132
(C₂×Q₈).₄C₂² = D₄.₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).4C2^2	64,133
(C₂×Q₈).₅C₂² = D₄.₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16	4	(C2xQ8).5C2^2	64,135
(C₂×Q₈).₆C₂² = D₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16	4-	(C2xQ8).6C2^2	64,137
(C₂×Q₈).₇C₂² = D₄.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).7C2^2	64,142
(C₂×Q₈).₈C₂² = C₄⋊₂Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	64		(C2xQ8).8C2^2	64,143
(C₂×Q₈).₉C₂² = D₄.₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).9C2^2	64,144
(C₂×Q₈).₁₀C₂² = Q₈.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).10C2^2	64,145
(C₂×Q₈).₁₁C₂² = C₈⋊₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).11C2^2	64,146
(C₂×Q₈).₁₂C₂² = C₈.₁₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).12C2^2	64,148
(C₂×Q₈).₁₃C₂² = C₈⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).13C2^2	64,149
(C₂×Q₈).₁₄C₂² = C₈.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).14C2^2	64,151
(C₂×Q₈).₁₅C₂² = D₄.₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	16	4	(C2xQ8).15C2^2	64,152
(C₂×Q₈).₁₆C₂² = D₄.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32	4-	(C2xQ8).16C2^2	64,154
(C₂×Q₈).₁₇C₂² = C₂³.₄₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).17C2^2	64,164
(C₂×Q₈).₁₈C₂² = C₂³.₄₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).18C2^2	64,165
(C₂×Q₈).₁₉C₂² = C₂³.₂₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).19C2^2	64,166
(C₂×Q₈).₂₀C₂² = C₄.SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	64		(C2xQ8).20C2^2	64,168
(C₂×Q₈).₂₁C₂² = C₄².₇₈C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).21C2^2	64,169
(C₂×Q₈).₂₂C₂² = C₄².₂₈C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).22C2^2	64,170
(C₂×Q₈).₂₃C₂² = C₄².₃₀C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	64		(C2xQ8).23C2^2	64,172
(C₂×Q₈).₂₄C₂² = C₈⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).24C2^2	64,173
(C₂×Q₈).₂₅C₂² = C₄⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	64		(C2xQ8).25C2^2	64,175
(C₂×Q₈).₂₆C₂² = C₈.₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).26C2^2	64,176
(C₂×Q₈).₂₇C₂² = C₈⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).27C2^2	64,177
(C₂×Q₈).₂₈C₂² = C₈.₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).28C2^2	64,178
(C₂×Q₈).₂₉C₂² = C₂².₃₃C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).29C2^2	64,220
(C₂×Q₈).₃₀C₂² = C₂².₃₆C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).30C2^2	64,223
(C₂×Q₈).₃₁C₂² = C₂³.₄₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).31C2^2	64,225
(C₂×Q₈).₃₂C₂² = D₄⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).32C2^2	64,235
(C₂×Q₈).₃₃C₂² = C₂².₄₉C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).33C2^2	64,236
(C₂×Q₈).₃₄C₂² = Q₈²	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	64		(C2xQ8).34C2^2	64,239
(C₂×Q₈).₃₅C₂² = C₂².₅₆C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).35C2^2	64,243
(C₂×Q₈).₃₆C₂² = C₂².₅₇C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32		(C2xQ8).36C2^2	64,244
(C₂×Q₈).₃₇C₂² = Q₈○D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Q₈	32	4-	(C2xQ8).37C2^2	64,259
(C₂×Q₈).₃₈C₂² = C₂×C₄.₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).38C2^2	64,93
(C₂×Q₈).₃₉C₂² = M₄(2).₈C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	16	4	(C2xQ8).39C2^2	64,94
(C₂×Q₈).₄₀C₂² = C₂×Q₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).40C2^2	64,96
(C₂×Q₈).₄₁C₂² = C₂³.₂₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).41C2^2	64,97
(C₂×Q₈).₄₂C₂² = C₂³.₃₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).42C2^2	64,98
(C₂×Q₈).₄₃C₂² = C₂³.₃₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).43C2^2	64,100
(C₂×Q₈).₄₄C₂² = C₄×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).44C2^2	64,119
(C₂×Q₈).₄₅C₂² = C₄×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).45C2^2	64,120
(C₂×Q₈).₄₆C₂² = SD₁₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).46C2^2	64,121
(C₂×Q₈).₄₇C₂² = Q₁₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).47C2^2	64,122
(C₂×Q₈).₄₈C₂² = Q₈⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).48C2^2	64,129
(C₂×Q₈).₄₉C₂² = D₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).49C2^2	64,130
(C₂×Q₈).₅₀C₂² = C₄⋊SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).50C2^2	64,141
(C₂×Q₈).₅₁C₂² = Q₈⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).51C2^2	64,156
(C₂×Q₈).₅₂C₂² = C₄.Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).52C2^2	64,158
(C₂×Q₈).₅₃C₂² = Q₈.Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).53C2^2	64,160
(C₂×Q₈).₅₄C₂² = C₂³.₃₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).54C2^2	64,210
(C₂×Q₈).₅₅C₂² = C₂×C₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).55C2^2	64,212
(C₂×Q₈).₅₆C₂² = C₂².₂₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).56C2^2	64,213
(C₂×Q₈).₅₇C₂² = C₂³.₃₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).57C2^2	64,214
(C₂×Q₈).₅₈C₂² = C₂³.₃₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).58C2^2	64,217
(C₂×Q₈).₅₉C₂² = C₂².₃₁C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).59C2^2	64,218
(C₂×Q₈).₆₀C₂² = C₂².₃₅C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).60C2^2	64,222
(C₂×Q₈).₆₁C₂² = D₄⋊₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).61C2^2	64,228
(C₂×Q₈).₆₂C₂² = Q₈⋊₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).62C2^2	64,229
(C₂×Q₈).₆₃C₂² = D₄×Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).63C2^2	64,230
(C₂×Q₈).₆₄C₂² = C₂².₄₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).64C2^2	64,233
(C₂×Q₈).₆₅C₂² = C₂².₅₀C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).65C2^2	64,237
(C₂×Q₈).₆₆C₂² = Q₈⋊₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).66C2^2	64,238
(C₂×Q₈).₆₇C₂² = C₂².₅₃C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).67C2^2	64,240
(C₂×Q₈).₆₈C₂² = C₂²×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	64		(C2xQ8).68C2^2	64,252
(C₂×Q₈).₆₉C₂² = C₂×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Q₈	32		(C2xQ8).69C2^2	64,253
(C₂×Q₈).₇₀C₂² = C₂×C₄×Q₈	φ: trivial image	64		(C2xQ8).70C2^2	64,197
(C₂×Q₈).₇₁C₂² = C₄×C₄○D₄	φ: trivial image	32		(C2xQ8).71C2^2	64,198
(C₂×Q₈).₇₂C₂² = C₂³.₃₂C₂³	φ: trivial image	32		(C2xQ8).72C2^2	64,200
(C₂×Q₈).₇₃C₂² = C₂³.₃₃C₂³	φ: trivial image	32		(C2xQ8).73C2^2	64,201
(C₂×Q₈).₇₄C₂² = Q₈⋊₆D₄	φ: trivial image	32		(C2xQ8).74C2^2	64,231

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Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=C₂²