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

Direct product G=N×Q with N=C4⋊D4 and Q=C4
dρLabelID
C4×C4⋊D464C4xC4:D4128,1032

Semidirect products G=N:Q with N=C4⋊D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊D4⋊1C4 = C2×C22.SD16φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4:1C4128,230
C4⋊D4⋊2C4 = C24.53D4φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4:2C4128,233
C4⋊D4⋊3C4 = C24.150D4φ: C4/C2 → C2 ⊆ Out C4⋊D416C4:D4:3C4128,236
C4⋊D4⋊4C4 = C24.54D4φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4:4C4128,239
C4⋊D4⋊5C4 = C24.56D4φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4:5C4128,242
C4⋊D4⋊6C4 = C24.58D4φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4:6C4128,245
C4⋊D4⋊7C4 = C24.59D4φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4:7C4128,248
C4⋊D4⋊8C4 = C24.60D4φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4:8C4128,251
C4⋊D4⋊9C4 = C24.72D4φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4:9C4128,603
C4⋊D4⋊10C4 = C23.38D8φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:10C4128,606
C4⋊D4⋊11C4 = C24.74D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:11C4128,607
C4⋊D4⋊12C4 = C23.23D8φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:12C4128,625
C4⋊D4⋊13C4 = C24.76D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:13C4128,627
C4⋊D4⋊14C4 = (C2×C4)≀C2φ: C4/C2 → C2 ⊆ Out C4⋊D416C4:D4:14C4128,628
C4⋊D4⋊15C4 = C42⋊7D4φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4:15C4128,629
C4⋊D4⋊16C4 = C42⋊13D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:16C4128,1056
C4⋊D4⋊17C4 = C24.198C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:17C4128,1057
C4⋊D4⋊18C4 = C23.215C24φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:18C4128,1065
C4⋊D4⋊19C4 = C24.215C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:19C4128,1093
C4⋊D4⋊20C4 = C24.217C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:20C4128,1095
C4⋊D4⋊21C4 = C24.218C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:21C4128,1096
C4⋊D4⋊22C4 = C23.259C24φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4:22C4128,1109

Non-split extensions G=N.Q with N=C4⋊D4 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊D4.1C4 = C42.45D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.1C4128,212
C4⋊D4.2C4 = C42.373D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.2C4128,214
C4⋊D4.3C4 = C42.47D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.3C4128,215
C4⋊D4.4C4 = C42.400D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.4C4128,216
C4⋊D4.5C4 = C42.315D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.5C4128,224
C4⋊D4.6C4 = C42.305D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.6C4128,226
C4⋊D4.7C4 = C42.52D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.7C4128,227
C4⋊D4.8C4 = C42.53D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.8C4128,228
C4⋊D4.9C4 = C42.66D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.9C4128,256
C4⋊D4.10C4 = C42.376D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.10C4128,261
C4⋊D4.11C4 = C42.69D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.11C4128,264
C4⋊D4.12C4 = C42.72D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.12C4128,267
C4⋊D4.13C4 = C42.409D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.13C4128,272
C4⋊D4.14C4 = C42.78D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.14C4128,279
C4⋊D4.15C4 = C42.417D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.15C4128,285
C4⋊D4.16C4 = C42.84D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.16C4128,289
C4⋊D4.17C4 = C42.265C23φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4.17C4128,1662
C4⋊D4.18C4 = C42.266C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.18C4128,1664
C4⋊D4.19C4 = M4(2)⋊22D4φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4.19C4128,1665
C4⋊D4.20C4 = M4(2)⋊23D4φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.20C4128,1667
C4⋊D4.21C4 = C42.292C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.21C4128,1699
C4⋊D4.22C4 = C42.293C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.22C4128,1700
C4⋊D4.23C4 = C42.294C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.23C4128,1701
C4⋊D4.24C4 = C42.297C23φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4.24C4128,1708
C4⋊D4.25C4 = C42.298C23φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4.25C4128,1709
C4⋊D4.26C4 = C42.299C23φ: C4/C2 → C2 ⊆ Out C4⋊D432C4:D4.26C4128,1710
C4⋊D4.27C4 = C42.694C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.27C4128,1711
C4⋊D4.28C4 = C42.300C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.28C4128,1712
C4⋊D4.29C4 = C42.301C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.29C4128,1713
C4⋊D4.30C4 = C42.307C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.30C4128,1724
C4⋊D4.31C4 = C42.308C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.31C4128,1725
C4⋊D4.32C4 = C42.309C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.32C4128,1726
C4⋊D4.33C4 = C42.310C23φ: C4/C2 → C2 ⊆ Out C4⋊D464C4:D4.33C4128,1727
C4⋊D4.34C4 = C42.264C23φ: trivial image32C4:D4.34C4128,1661
C4⋊D4.35C4 = C42.681C23φ: trivial image64C4:D4.35C4128,1663
C4⋊D4.36C4 = C42.291C23φ: trivial image64C4:D4.36C4128,1698

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