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

Direct product G=N×Q with N=C4⋊C4 and Q=Q8
dρLabelID
Q8×C4⋊C4128Q8xC4:C4128,1082

Semidirect products G=N:Q with N=C4⋊C4 and Q=Q8
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊1Q8 = C4⋊C4⋊Q8φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4:1Q8128,789
C4⋊C4⋊2Q8 = (C2×C8)⋊Q8φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4:2Q8128,790
C4⋊C4⋊3Q8 = C23.613C24φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4:3Q8128,1445
C4⋊C4⋊4Q8 = C23.634C24φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4:4Q8128,1466
C4⋊C4⋊5Q8 = C23.655C24φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4:5Q8128,1487
C4⋊C4⋊6Q8 = C23.674C24φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4:6Q8128,1506
C4⋊C4⋊7Q8 = C23.692C24φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4:7Q8128,1524
C4⋊C4⋊8Q8 = C23.705C24φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4:8Q8128,1537
C4⋊C4⋊9Q8 = C23.706C24φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4:9Q8128,1538
C4⋊C4⋊10Q8 = C42.121D4φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:10Q8128,719
C4⋊C4⋊11Q8 = C42.122D4φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:11Q8128,720
C4⋊C4⋊12Q8 = C23.346C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:12Q8128,1178
C4⋊C4⋊13Q8 = C23.351C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:13Q8128,1183
C4⋊C4⋊14Q8 = C23.362C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:14Q8128,1194
C4⋊C4⋊15Q8 = C23.411C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:15Q8128,1243
C4⋊C4⋊16Q8 = C23.420C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:16Q8128,1252
C4⋊C4⋊17Q8 = C42.169D4φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:17Q8128,1278
C4⋊C4⋊18Q8 = C42⋊6Q8φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:18Q8128,1282
C4⋊C4⋊19Q8 = C42⋊7Q8φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:19Q8128,1283
C4⋊C4⋊20Q8 = C42.176D4φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:20Q8128,1299
C4⋊C4⋊21Q8 = C42.181D4φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:21Q8128,1316
C4⋊C4⋊22Q8 = C23.486C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:22Q8128,1318
C4⋊C4⋊23Q8 = C23.488C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4:23Q8128,1320
C4⋊C4⋊24Q8 = C23.237C24φ: trivial image128C4:C4:24Q8128,1087
C4⋊C4⋊25Q8 = C23.247C24φ: trivial image128C4:C4:25Q8128,1097
C4⋊C4⋊26Q8 = C23.251C24φ: trivial image128C4:C4:26Q8128,1101

Non-split extensions G=N.Q with N=C4⋊C4 and Q=Q8
extensionφ:Q→Out NdρLabelID
C4⋊C4.1Q8 = C2.(C8⋊Q8)φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4.1Q8128,791
C4⋊C4.2Q8 = (C2×C4).26D8φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4.2Q8128,818
C4⋊C4.3Q8 = (C2×C4).21Q16φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4.3Q8128,819
C4⋊C4.4Q8 = C4.(C4⋊Q8)φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4.4Q8128,820
C4⋊C4.5Q8 = (C2×C4).28D8φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4.5Q8128,831
C4⋊C4.6Q8 = (C2×C4).23Q16φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4.6Q8128,832
C4⋊C4.7Q8 = C4⋊C4.Q8φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4.7Q8128,833
C4⋊C4.8Q8 = C23.626C24φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4.8Q8128,1458
C4⋊C4.9Q8 = C23.691C24φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4.9Q8128,1523
C4⋊C4.10Q8 = C23.702C24φ: Q8/C2 → C22 ⊆ Out C4⋊C4128C4:C4.10Q8128,1534
C4⋊C4.11Q8 = C2.D8⋊4C4φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.11Q8128,650
C4⋊C4.12Q8 = C4.Q8⋊9C4φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.12Q8128,651
C4⋊C4.13Q8 = C4.Q8⋊10C4φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.13Q8128,652
C4⋊C4.14Q8 = C2.D8⋊5C4φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.14Q8128,653
C4⋊C4.15Q8 = C42.29Q8φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.15Q8128,679
C4⋊C4.16Q8 = C42.30Q8φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.16Q8128,680
C4⋊C4.17Q8 = C42.31Q8φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.17Q8128,681
C4⋊C4.18Q8 = C42.123D4φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.18Q8128,721
C4⋊C4.19Q8 = C23.406C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.19Q8128,1238
C4⋊C4.20Q8 = C23.407C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.20Q8128,1239
C4⋊C4.21Q8 = C23.408C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.21Q8128,1240
C4⋊C4.22Q8 = C23.409C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.22Q8128,1241
C4⋊C4.23Q8 = C42.35Q8φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.23Q8128,1284
C4⋊C4.24Q8 = C23.485C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.24Q8128,1317
C4⋊C4.25Q8 = C23.490C24φ: Q8/C4 → C2 ⊆ Out C4⋊C4128C4:C4.25Q8128,1322
C4⋊C4.26Q8 = C23.252C24φ: trivial image128C4:C4.26Q8128,1102

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