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

Direct product G=N×Q with N=C4⋊Q8 and Q=C4
dρLabelID
C4×C4⋊Q8128C4xC4:Q8128,1039

Semidirect products G=N:Q with N=C4⋊Q8 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊Q8⋊1C4 = (C2×D4).D4φ: C4/C1 → C4 ⊆ Out C4⋊Q8328-C4:Q8:1C4128,139
C4⋊Q8⋊2C4 = (C4×C8)⋊6C4φ: C4/C1 → C4 ⊆ Out C4⋊Q8164C4:Q8:2C4128,141
C4⋊Q8⋊3C4 = C4.(C4×D4)φ: C4/C1 → C4 ⊆ Out C4⋊Q8328-C4:Q8:3C4128,641
C4⋊Q8⋊4C4 = C42.7D4φ: C4/C1 → C4 ⊆ Out C4⋊Q8328-C4:Q8:4C4128,644
C4⋊Q8⋊5C4 = C4⋊Q8⋊C4φ: C4/C1 → C4 ⊆ Out C4⋊Q8328-C4:Q8:5C4128,861
C4⋊Q8⋊6C4 = C42.403D4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:6C4128,234
C4⋊Q8⋊7C4 = C42.404D4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:7C4128,235
C4⋊Q8⋊8C4 = C42.55D4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:8C4128,237
C4⋊Q8⋊9C4 = C42.56D4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:9C4128,238
C4⋊Q8⋊10C4 = C42.59D4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:10C4128,246
C4⋊Q8⋊11C4 = C42.60D4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:11C4128,247
C4⋊Q8⋊12C4 = C42.61D4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:12C4128,249
C4⋊Q8⋊13C4 = C42.62D4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:13C4128,250
C4⋊Q8⋊14C4 = M4(2)⋊19D4φ: C4/C2 → C2 ⊆ Out C4⋊Q8164C4:Q8:14C4128,616
C4⋊Q8⋊15C4 = C4⋊Q8⋊15C4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:15C4128,618
C4⋊Q8⋊16C4 = C42.431D4φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:16C4128,688
C4⋊Q8⋊17C4 = C42.111D4φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:17C4128,692
C4⋊Q8⋊18C4 = C43⋊C2φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:18C4128,694
C4⋊Q8⋊19C4 = C42⋊8D4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:19C4128,695
C4⋊Q8⋊20C4 = M4(2)⋊13D4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:20C4128,712
C4⋊Q8⋊21C4 = C42.117D4φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:21C4128,713
C4⋊Q8⋊22C4 = M4(2)⋊7Q8φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:22C4128,718
C4⋊Q8⋊23C4 = C42.121D4φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:23C4128,719
C4⋊Q8⋊24C4 = C42.122D4φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:24C4128,720
C4⋊Q8⋊25C4 = C42.436D4φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:25C4128,722
C4⋊Q8⋊26C4 = C42.125D4φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:26C4128,725
C4⋊Q8⋊27C4 = C42⋊16Q8φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:27C4128,726
C4⋊Q8⋊28C4 = C42⋊Q8φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8:28C4128,727
C4⋊Q8⋊29C4 = C4⋊Q8⋊29C4φ: C4/C2 → C2 ⊆ Out C4⋊Q8164C4:Q8:29C4128,858
C4⋊Q8⋊30C4 = C42.161D4φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:30C4128,1059
C4⋊Q8⋊31C4 = C42⋊4Q8φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:31C4128,1063
C4⋊Q8⋊32C4 = C23.247C24φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:32C4128,1097
C4⋊Q8⋊33C4 = C23.251C24φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:33C4128,1101
C4⋊Q8⋊34C4 = C23.263C24φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8:34C4128,1113

Non-split extensions G=N.Q with N=C4⋊Q8 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊Q8.1C4 = C42.(C2×C4)φ: C4/C1 → C4 ⊆ Out C4⋊Q8328-C4:Q8.1C4128,88
C4⋊Q8.2C4 = C8.25D8φ: C4/C1 → C4 ⊆ Out C4⋊Q8324-C4:Q8.2C4128,90
C4⋊Q8.3C4 = C8.29D8φ: C4/C1 → C4 ⊆ Out C4⋊Q8164C4:Q8.3C4128,91
C4⋊Q8.4C4 = (C2×Q8).D4φ: C4/C1 → C4 ⊆ Out C4⋊Q8324-C4:Q8.4C4128,143
C4⋊Q8.5C4 = C4⋊Q8.C4φ: C4/C1 → C4 ⊆ Out C4⋊Q8328-C4:Q8.5C4128,865
C4⋊Q8.6C4 = C42.45D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.6C4128,212
C4⋊Q8.7C4 = C42.46D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.7C4128,213
C4⋊Q8.8C4 = C42.400D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.8C4128,216
C4⋊Q8.9C4 = C42.401D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.9C4128,217
C4⋊Q8.10C4 = C42.315D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.10C4128,224
C4⋊Q8.11C4 = C42.316D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.11C4128,225
C4⋊Q8.12C4 = C42.53D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.12C4128,228
C4⋊Q8.13C4 = C42.54D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.13C4128,229
C4⋊Q8.14C4 = C42.405D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.14C4128,257
C4⋊Q8.15C4 = C42.406D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.15C4128,258
C4⋊Q8.16C4 = C42.67D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.16C4128,262
C4⋊Q8.17C4 = C42.68D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.17C4128,263
C4⋊Q8.18C4 = C42.73D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.18C4128,268
C4⋊Q8.19C4 = C42.74D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.19C4128,269
C4⋊Q8.20C4 = C2×C4.10D8φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8.20C4128,271
C4⋊Q8.21C4 = C2×C4.6Q16φ: C4/C2 → C2 ⊆ Out C4⋊Q8128C4:Q8.21C4128,273
C4⋊Q8.22C4 = C42.414D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.22C4128,278
C4⋊Q8.23C4 = C42.415D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.23C4128,280
C4⋊Q8.24C4 = C42.416D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.24C4128,281
C4⋊Q8.25C4 = C42.83D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.25C4128,288
C4⋊Q8.26C4 = C42.85D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.26C4128,290
C4⋊Q8.27C4 = C2×C42.3C4φ: C4/C2 → C2 ⊆ Out C4⋊Q832C4:Q8.27C4128,863
C4⋊Q8.28C4 = C42.266C23φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.28C4128,1664
C4⋊Q8.29C4 = M4(2)⋊23D4φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.29C4128,1667
C4⋊Q8.30C4 = C42.287C23φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.30C4128,1693
C4⋊Q8.31C4 = M4(2)⋊9Q8φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.31C4128,1694
C4⋊Q8.32C4 = C42.694C23φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.32C4128,1711
C4⋊Q8.33C4 = C42.300C23φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.33C4128,1712
C4⋊Q8.34C4 = C42.301C23φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.34C4128,1713
C4⋊Q8.35C4 = C42.696C23φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.35C4128,1717
C4⋊Q8.36C4 = C42.304C23φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.36C4128,1718
C4⋊Q8.37C4 = C42.305C23φ: C4/C2 → C2 ⊆ Out C4⋊Q864C4:Q8.37C4128,1719
C4⋊Q8.38C4 = C42.681C23φ: trivial image64C4:Q8.38C4128,1663
C4⋊Q8.39C4 = C42.286C23φ: trivial image64C4:Q8.39C4128,1692

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