Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=C₂²

Direct product G=N×Q with N=C₄⋊C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₄⋊C₄		64		C2^2xC4:C4	64,194

Semidirect products G=N:Q with N=C₄⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	Label	ID
C₄⋊C₄⋊₁C₂² = C₂²⋊D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	16	C4:C4:1C2^2	64,128
C₄⋊C₄⋊₂C₂² = C₂²⋊SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	16	C4:C4:2C2^2	64,131
C₄⋊C₄⋊₃C₂² = C₂³⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	16	C4:C4:3C2^2	64,215
C₄⋊C₄⋊₄C₂² = C₂³⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	16	C4:C4:4C2^2	64,224
C₄⋊C₄⋊₅C₂² = D₄⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	16	C4:C4:5C2^2	64,227
C₄⋊C₄⋊₆C₂² = C₂².₅₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	16	C4:C4:6C2^2	64,241
C₄⋊C₄⋊₇C₂² = C₂×D₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4:7C2^2	64,95
C₄⋊C₄⋊₈C₂² = C₂³.₃₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	16	C4:C4:8C2^2	64,99
C₄⋊C₄⋊₉C₂² = C₂×C₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4:9C2^2	64,203
C₄⋊C₄⋊₁₀C₂² = C₂×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4:10C2^2	64,204
C₄⋊C₄⋊₁₁C₂² = C₂×C₂².D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4:11C2^2	64,205
C₄⋊C₄⋊₁₂C₂² = C₂².₁₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	16	C4:C4:12C2^2	64,206
C₄⋊C₄⋊₁₃C₂² = C₂×C₄²⋊₂C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4:13C2^2	64,209
C₄⋊C₄⋊₁₄C₂² = C₂².₂₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	16	C4:C4:14C2^2	64,216
C₄⋊C₄⋊₁₅C₂² = C₂².₃₂C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	16	C4:C4:15C2^2	64,219
C₄⋊C₄⋊₁₆C₂² = D₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	16	C4:C4:16C2^2	64,226
C₄⋊C₄⋊₁₇C₂² = C₂².₄₅C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	16	C4:C4:17C2^2	64,232
C₄⋊C₄⋊₁₈C₂² = C₂×C₄²⋊C₂	φ: trivial image	32	C4:C4:18C2^2	64,195
C₄⋊C₄⋊₁₉C₂² = C₂×C₄×D₄	φ: trivial image	32	C4:C4:19C2^2	64,196
C₄⋊C₄⋊₂₀C₂² = C₂².₁₁C₂⁴	φ: trivial image	16	C4:C4:20C2^2	64,199

Non-split extensions G=N.Q with N=C₄⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	Label	ID
C₄⋊C₄.₁C₂² = Q₈⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.1C2^2	64,129
C₄⋊C₄.₂C₂² = D₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.2C2^2	64,130
C₄⋊C₄.₃C₂² = C₂²⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.3C2^2	64,132
C₄⋊C₄.₄C₂² = D₄.₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.4C2^2	64,133
C₄⋊C₄.₅C₂² = C₈⋊₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.5C2^2	64,146
C₄⋊C₄.₆C₂² = C₈⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.6C2^2	64,147
C₄⋊C₄.₇C₂² = C₈.₁₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.7C2^2	64,148
C₄⋊C₄.₈C₂² = C₈⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.8C2^2	64,149
C₄⋊C₄.₉C₂² = C₈⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.9C2^2	64,150
C₄⋊C₄.₁₀C₂² = C₈.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.10C2^2	64,151
C₄⋊C₄.₁₁C₂² = D₄⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.11C2^2	64,155
C₄⋊C₄.₁₂C₂² = Q₈⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.12C2^2	64,156
C₄⋊C₄.₁₃C₂² = D₄⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.13C2^2	64,157
C₄⋊C₄.₁₄C₂² = C₄.Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.14C2^2	64,158
C₄⋊C₄.₁₅C₂² = Q₈.Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.15C2^2	64,160
C₄⋊C₄.₁₆C₂² = C₄.₄D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.16C2^2	64,167
C₄⋊C₄.₁₇C₂² = C₄.SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.17C2^2	64,168
C₄⋊C₄.₁₈C₂² = C₄².₇₈C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.18C2^2	64,169
C₄⋊C₄.₁₉C₂² = C₄².₂₈C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.19C2^2	64,170
C₄⋊C₄.₂₀C₂² = C₄².₂₉C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.20C2^2	64,171
C₄⋊C₄.₂₁C₂² = C₄².₃₀C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.21C2^2	64,172
C₄⋊C₄.₂₂C₂² = C₈⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.22C2^2	64,179
C₄⋊C₄.₂₃C₂² = C₈.₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.23C2^2	64,180
C₄⋊C₄.₂₄C₂² = C₈⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.24C2^2	64,181
C₄⋊C₄.₂₅C₂² = C₈⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.25C2^2	64,182
C₄⋊C₄.₂₆C₂² = C₂³.₃₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.26C2^2	64,217
C₄⋊C₄.₂₇C₂² = C₂².₃₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.27C2^2	64,218
C₄⋊C₄.₂₈C₂² = C₂².₃₃C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.28C2^2	64,220
C₄⋊C₄.₂₉C₂² = C₂².₃₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.29C2^2	64,221
C₄⋊C₄.₃₀C₂² = C₂².₃₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.30C2^2	64,222
C₄⋊C₄.₃₁C₂² = C₂².₃₆C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.31C2^2	64,223
C₄⋊C₄.₃₂C₂² = C₂³.₄₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.32C2^2	64,225
C₄⋊C₄.₃₃C₂² = D₄⋊₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.33C2^2	64,228
C₄⋊C₄.₃₄C₂² = D₄×Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.34C2^2	64,230
C₄⋊C₄.₃₅C₂² = C₂².₄₆C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.35C2^2	64,233
C₄⋊C₄.₃₆C₂² = C₂².₄₇C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.36C2^2	64,234
C₄⋊C₄.₃₇C₂² = D₄⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.37C2^2	64,235
C₄⋊C₄.₃₈C₂² = Q₈⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.38C2^2	64,238
C₄⋊C₄.₃₉C₂² = C₂².₅₆C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.39C2^2	64,243
C₄⋊C₄.₄₀C₂² = C₂².₅₇C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	32	C4:C4.40C2^2	64,244
C₄⋊C₄.₄₁C₂² = C₂².₅₈C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₄	64	C4:C4.41C2^2	64,245
C₄⋊C₄.₄₂C₂² = C₂×Q₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	64	C4:C4.42C2^2	64,96
C₄⋊C₄.₄₃C₂² = C₂³.₂₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.43C2^2	64,97
C₄⋊C₄.₄₄C₂² = C₂³.₃₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.44C2^2	64,98
C₄⋊C₄.₄₅C₂² = C₂³.₃₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.45C2^2	64,100
C₄⋊C₄.₄₆C₂² = C₂×C₄.Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	64	C4:C4.46C2^2	64,106
C₄⋊C₄.₄₇C₂² = C₂×C₂.D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	64	C4:C4.47C2^2	64,107
C₄⋊C₄.₄₈C₂² = C₂³.₂₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.48C2^2	64,108
C₄⋊C₄.₄₉C₂² = M₄(2)⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.49C2^2	64,109
C₄⋊C₄.₅₀C₂² = C₄×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.50C2^2	64,118
C₄⋊C₄.₅₁C₂² = C₄×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.51C2^2	64,119
C₄⋊C₄.₅₂C₂² = C₄×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	64	C4:C4.52C2^2	64,120
C₄⋊C₄.₅₃C₂² = SD₁₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.53C2^2	64,121
C₄⋊C₄.₅₄C₂² = Q₁₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	64	C4:C4.54C2^2	64,122
C₄⋊C₄.₅₅C₂² = D₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.55C2^2	64,123
C₄⋊C₄.₅₆C₂² = C₄⋊D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.56C2^2	64,140
C₄⋊C₄.₅₇C₂² = C₄⋊SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.57C2^2	64,141
C₄⋊C₄.₅₈C₂² = D₄.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.58C2^2	64,142
C₄⋊C₄.₅₉C₂² = C₄⋊₂Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	64	C4:C4.59C2^2	64,143
C₄⋊C₄.₆₀C₂² = D₄.₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.60C2^2	64,144
C₄⋊C₄.₆₁C₂² = Q₈.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.61C2^2	64,145
C₄⋊C₄.₆₂C₂² = D₄.Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.62C2^2	64,159
C₄⋊C₄.₆₃C₂² = C₂².D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.63C2^2	64,161
C₄⋊C₄.₆₄C₂² = C₂³.₄₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.64C2^2	64,162
C₄⋊C₄.₆₅C₂² = C₂³.₁₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.65C2^2	64,163
C₄⋊C₄.₆₆C₂² = C₂³.₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.66C2^2	64,164
C₄⋊C₄.₆₇C₂² = C₂³.₄₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.67C2^2	64,165
C₄⋊C₄.₆₈C₂² = C₂³.₂₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.68C2^2	64,166
C₄⋊C₄.₆₉C₂² = C₂×C₄².C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	64	C4:C4.69C2^2	64,208
C₄⋊C₄.₇₀C₂² = C₂³.₃₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.70C2^2	64,210
C₄⋊C₄.₇₁C₂² = C₂×C₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	64	C4:C4.71C2^2	64,212
C₄⋊C₄.₇₂C₂² = C₂².₂₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.72C2^2	64,213
C₄⋊C₄.₇₃C₂² = C₂³.₃₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.73C2^2	64,214
C₄⋊C₄.₇₄C₂² = Q₈⋊₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.74C2^2	64,229
C₄⋊C₄.₇₅C₂² = C₂².₅₀C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.75C2^2	64,237
C₄⋊C₄.₇₆C₂² = Q₈²	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	64	C4:C4.76C2^2	64,239
C₄⋊C₄.₇₇C₂² = C₂².₅₃C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₄	32	C4:C4.77C2^2	64,240
C₄⋊C₄.₇₈C₂² = C₂×C₄×Q₈	φ: trivial image	64	C4:C4.78C2^2	64,197
C₄⋊C₄.₇₉C₂² = C₄×C₄○D₄	φ: trivial image	32	C4:C4.79C2^2	64,198
C₄⋊C₄.₈₀C₂² = C₂³.₃₂C₂³	φ: trivial image	32	C4:C4.80C2^2	64,200
C₄⋊C₄.₈₁C₂² = C₂³.₃₃C₂³	φ: trivial image	32	C4:C4.81C2^2	64,201
C₄⋊C₄.₈₂C₂² = Q₈⋊₆D₄	φ: trivial image	32	C4:C4.82C2^2	64,231
C₄⋊C₄.₈₃C₂² = C₂².₄₉C₂⁴	φ: trivial image	32	C4:C4.83C2^2	64,236

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Extensions 1→N→G→Q→1 with N=C4⋊C4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=C₂²