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Extensions 1→N→G→Q→1 with N=C4⋊1D4 and Q=C4

Direct product G=N×Q with N=C4⋊1D4 and Q=C4
dρLabelID
C4×C4⋊1D464C4xC4:1D4128,1038

Semidirect products G=N:Q with N=C4⋊1D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊1D4⋊1C4 = C8⋊C4⋊C4φ: C4/C1 → C4 ⊆ Out C4⋊1D4168+C4:1D4:1C4128,138
C4⋊1D4⋊2C4 = C4⋊1D4⋊C4φ: C4/C1 → C4 ⊆ Out C4⋊1D4164+C4:1D4:2C4128,140
C4⋊1D4⋊3C4 = (C2×C8)⋊4D4φ: C4/C1 → C4 ⊆ Out C4⋊1D4168+C4:1D4:3C4128,642
C4⋊1D4⋊4C4 = C42⋊D4φ: C4/C1 → C4 ⊆ Out C4⋊1D4168+C4:1D4:4C4128,643
C4⋊1D4⋊5C4 = C24.39D4φ: C4/C1 → C4 ⊆ Out C4⋊1D4168+C4:1D4:5C4128,859
C4⋊1D4⋊6C4 = C42.403D4φ: C4/C2 → C2 ⊆ Out C4⋊1D432C4:1D4:6C4128,234
C4⋊1D4⋊7C4 = C42.55D4φ: C4/C2 → C2 ⊆ Out C4⋊1D432C4:1D4:7C4128,237
C4⋊1D4⋊8C4 = C42.59D4φ: C4/C2 → C2 ⊆ Out C4⋊1D432C4:1D4:8C4128,246
C4⋊1D4⋊9C4 = C42.61D4φ: C4/C2 → C2 ⊆ Out C4⋊1D432C4:1D4:9C4128,249
C4⋊1D4⋊10C4 = M4(2)⋊19D4φ: C4/C2 → C2 ⊆ Out C4⋊1D4164C4:1D4:10C4128,616
C4⋊1D4⋊11C4 = C24.24D4φ: C4/C2 → C2 ⊆ Out C4⋊1D416C4:1D4:11C4128,619
C4⋊1D4⋊12C4 = C42.432D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4:12C4128,689
C4⋊1D4⋊13C4 = C42.112D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4:13C4128,693
C4⋊1D4⋊14C4 = C43⋊C2φ: C4/C2 → C2 ⊆ Out C4⋊1D432C4:1D4:14C4128,694
C4⋊1D4⋊15C4 = C42⋊8D4φ: C4/C2 → C2 ⊆ Out C4⋊1D432C4:1D4:15C4128,695
C4⋊1D4⋊16C4 = M4(2)⋊13D4φ: C4/C2 → C2 ⊆ Out C4⋊1D432C4:1D4:16C4128,712
C4⋊1D4⋊17C4 = C42.118D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4:17C4128,714
C4⋊1D4⋊18C4 = C2×C42⋊C4φ: C4/C2 → C2 ⊆ Out C4⋊1D416C4:1D4:18C4128,856
C4⋊1D4⋊19C4 = C42⋊14D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4:19C4128,1060
C4⋊1D4⋊20C4 = C24.219C23φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4:20C4128,1098
C4⋊1D4⋊21C4 = C23.262C24φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4:21C4128,1112

Non-split extensions G=N.Q with N=C4⋊1D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊1D4.1C4 = C4.C4≀C2φ: C4/C1 → C4 ⊆ Out C4⋊1D4168+C4:1D4.1C4128,87
C4⋊1D4.2C4 = C8.24D8φ: C4/C1 → C4 ⊆ Out C4⋊1D4164+C4:1D4.2C4128,89
C4⋊1D4.3C4 = C8.29D8φ: C4/C1 → C4 ⊆ Out C4⋊1D4164C4:1D4.3C4128,91
C4⋊1D4.4C4 = (C4×C8).C4φ: C4/C1 → C4 ⊆ Out C4⋊1D4164C4:1D4.4C4128,142
C4⋊1D4.5C4 = C4⋊1D4.C4φ: C4/C1 → C4 ⊆ Out C4⋊1D4168+C4:1D4.5C4128,866
C4⋊1D4.6C4 = C42.45D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.6C4128,212
C4⋊1D4.7C4 = C42.400D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.7C4128,216
C4⋊1D4.8C4 = C42.315D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.8C4128,224
C4⋊1D4.9C4 = C42.53D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.9C4128,228
C4⋊1D4.10C4 = C42.405D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.10C4128,257
C4⋊1D4.11C4 = C42.67D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.11C4128,262
C4⋊1D4.12C4 = C42.73D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.12C4128,268
C4⋊1D4.13C4 = C2×C4.D8φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.13C4128,270
C4⋊1D4.14C4 = C42.413D4φ: C4/C2 → C2 ⊆ Out C4⋊1D432C4:1D4.14C4128,277
C4⋊1D4.15C4 = C42.82D4φ: C4/C2 → C2 ⊆ Out C4⋊1D432C4:1D4.15C4128,287
C4⋊1D4.16C4 = (C2×D4).135D4φ: C4/C2 → C2 ⊆ Out C4⋊1D4164C4:1D4.16C4128,864
C4⋊1D4.17C4 = C42.266C23φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.17C4128,1664
C4⋊1D4.18C4 = M4(2)⋊23D4φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.18C4128,1667
C4⋊1D4.19C4 = C42.694C23φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.19C4128,1711
C4⋊1D4.20C4 = C42.300C23φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.20C4128,1712
C4⋊1D4.21C4 = C42.301C23φ: C4/C2 → C2 ⊆ Out C4⋊1D464C4:1D4.21C4128,1713
C4⋊1D4.22C4 = C42.681C23φ: trivial image64C4:1D4.22C4128,1663

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