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Extensions 1→N→G→Q→1 with N=C4⋊Q8 and Q=C2

Direct product G=N×Q with N=C4⋊Q8 and Q=C2
dρLabelID
C2×C4⋊Q864C2xC4:Q864,212

Semidirect products G=N:Q with N=C4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊Q8⋊1C2 = D4.10D4φ: C2/C1 → C2 ⊆ Out C4⋊Q8164-C4:Q8:1C264,137
C4⋊Q8⋊2C2 = D4.D4φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:2C264,142
C4⋊Q8⋊3C2 = D4⋊Q8φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:3C264,155
C4⋊Q8⋊4C2 = D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:4C264,157
C4⋊Q8⋊5C2 = C4.4D8φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:5C264,167
C4⋊Q8⋊6C2 = C42.28C22φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:6C264,170
C4⋊Q8⋊7C2 = C8⋊5D4φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:7C264,173
C4⋊Q8⋊8C2 = C8.2D4φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:8C264,178
C4⋊Q8⋊9C2 = C23.38C23φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:9C264,217
C4⋊Q8⋊10C2 = C22.35C24φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:10C264,222
C4⋊Q8⋊11C2 = C22.36C24φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:11C264,223
C4⋊Q8⋊12C2 = C23.41C23φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:12C264,225
C4⋊Q8⋊13C2 = D4⋊6D4φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:13C264,228
C4⋊Q8⋊14C2 = D4×Q8φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:14C264,230
C4⋊Q8⋊15C2 = D4⋊3Q8φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:15C264,235
C4⋊Q8⋊16C2 = C22.49C24φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:16C264,236
C4⋊Q8⋊17C2 = C22.50C24φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:17C264,237
C4⋊Q8⋊18C2 = C22.57C24φ: C2/C1 → C2 ⊆ Out C4⋊Q832C4:Q8:18C264,244
C4⋊Q8⋊19C2 = C22.26C24φ: trivial image32C4:Q8:19C264,213
C4⋊Q8⋊20C2 = C23.37C23φ: trivial image32C4:Q8:20C264,214

Non-split extensions G=N.Q with N=C4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊Q8.1C2 = C4.10D8φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.1C264,13
C4⋊Q8.2C2 = C4.6Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.2C264,14
C4⋊Q8.3C2 = C42.3C4φ: C2/C1 → C2 ⊆ Out C4⋊Q8164-C4:Q8.3C264,37
C4⋊Q8.4C2 = C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.4C264,143
C4⋊Q8.5C2 = Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.5C264,156
C4⋊Q8.6C2 = C4.Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.6C264,158
C4⋊Q8.7C2 = C4.SD16φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.7C264,168
C4⋊Q8.8C2 = C42.30C22φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.8C264,172
C4⋊Q8.9C2 = C4⋊Q16φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.9C264,175
C4⋊Q8.10C2 = C8⋊3Q8φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.10C264,179
C4⋊Q8.11C2 = C8⋊2Q8φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.11C264,181
C4⋊Q8.12C2 = C8⋊Q8φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.12C264,182
C4⋊Q8.13C2 = Q8⋊3Q8φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.13C264,238
C4⋊Q8.14C2 = Q82φ: C2/C1 → C2 ⊆ Out C4⋊Q864C4:Q8.14C264,239

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