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Extensions 1→N→G→Q→1 with N=C32⋊4C8 and Q=C22

Direct product G=N×Q with N=C32⋊4C8 and Q=C22
dρLabelID
C22×C32⋊4C8288C2^2xC3^2:4C8288,777

Semidirect products G=N:Q with N=C32⋊4C8 and Q=C22
extensionφ:Q→Out NdρLabelID
C32⋊4C8⋊1C22 = C24⋊6D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8484C3^2:4C8:1C2^2288,446
C32⋊4C8⋊2C22 = D12⋊20D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8484C3^2:4C8:2C2^2288,471
C32⋊4C8⋊3C22 = S3×D4⋊S3φ: C22/C1 → C22 ⊆ Out C32⋊4C8488+C3^2:4C8:3C2^2288,572
C32⋊4C8⋊4C22 = Dic6⋊3D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8488+C3^2:4C8:4C2^2288,573
C32⋊4C8⋊5C22 = S3×D4.S3φ: C22/C1 → C22 ⊆ Out C32⋊4C8488-C3^2:4C8:5C2^2288,576
C32⋊4C8⋊6C22 = D12⋊9D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8488-C3^2:4C8:6C2^2288,580
C32⋊4C8⋊7C22 = D12.7D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8488+C3^2:4C8:7C2^2288,582
C32⋊4C8⋊8C22 = S3×Q8⋊2S3φ: C22/C1 → C22 ⊆ Out C32⋊4C8488+C3^2:4C8:8C2^2288,586
C32⋊4C8⋊9C22 = D12⋊6D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8488+C3^2:4C8:9C2^2288,587
C32⋊4C8⋊10C22 = C24⋊8D6φ: C22/C1 → C22 ⊆ Out C32⋊4C872C3^2:4C8:10C2^2288,768
C32⋊4C8⋊11C22 = C24⋊7D6φ: C22/C1 → C22 ⊆ Out C32⋊4C872C3^2:4C8:11C2^2288,771
C32⋊4C8⋊12C22 = C62.131D4φ: C22/C1 → C22 ⊆ Out C32⋊4C872C3^2:4C8:12C2^2288,789
C32⋊4C8⋊13C22 = C62.73D4φ: C22/C1 → C22 ⊆ Out C32⋊4C872C3^2:4C8:13C2^2288,806
C32⋊4C8⋊14C22 = S3×C8⋊S3φ: C22/C1 → C22 ⊆ Out C32⋊4C8484C3^2:4C8:14C2^2288,438
C32⋊4C8⋊15C22 = S3×C4.Dic3φ: C22/C1 → C22 ⊆ Out C32⋊4C8484C3^2:4C8:15C2^2288,461
C32⋊4C8⋊16C22 = C24⋊9D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8:16C2^2288,444
C32⋊4C8⋊17C22 = C24⋊4D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8:17C2^2288,445
C32⋊4C8⋊18C22 = C2×C32⋊2D8φ: C22/C2 → C2 ⊆ Out C32⋊4C896C3^2:4C8:18C2^2288,469
C32⋊4C8⋊19C22 = C2×Dic6⋊S3φ: C22/C2 → C2 ⊆ Out C32⋊4C896C3^2:4C8:19C2^2288,474
C32⋊4C8⋊20C22 = D8×C3⋊S3φ: C22/C2 → C2 ⊆ Out C32⋊4C872C3^2:4C8:20C2^2288,767
C32⋊4C8⋊21C22 = SD16×C3⋊S3φ: C22/C2 → C2 ⊆ Out C32⋊4C872C3^2:4C8:21C2^2288,770
C32⋊4C8⋊22C22 = C2×C32⋊7D8φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8:22C2^2288,788
C32⋊4C8⋊23C22 = C2×C32⋊9SD16φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8:23C2^2288,790
C32⋊4C8⋊24C22 = C2×C32⋊11SD16φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8:24C2^2288,798
C32⋊4C8⋊25C22 = S32×C8φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8:25C2^2288,437
C32⋊4C8⋊26C22 = C24⋊D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8:26C2^2288,439
C32⋊4C8⋊27C22 = C2×S3×C3⋊C8φ: C22/C2 → C2 ⊆ Out C32⋊4C896C3^2:4C8:27C2^2288,460
C32⋊4C8⋊28C22 = C2×D6.Dic3φ: C22/C2 → C2 ⊆ Out C32⋊4C896C3^2:4C8:28C2^2288,467
C32⋊4C8⋊29C22 = C2×C24⋊S3φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8:29C2^2288,757
C32⋊4C8⋊30C22 = M4(2)×C3⋊S3φ: C22/C2 → C2 ⊆ Out C32⋊4C872C3^2:4C8:30C2^2288,763
C32⋊4C8⋊31C22 = C2×C12.58D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8:31C2^2288,778
C32⋊4C8⋊32C22 = C2×C8×C3⋊S3φ: trivial image144C3^2:4C8:32C2^2288,756

Non-split extensions G=N.Q with N=C32⋊4C8 and Q=C22
extensionφ:Q→Out NdρLabelID
C32⋊4C8.1C22 = C32⋊D16φ: C22/C1 → C22 ⊆ Out C32⋊4C8488+C3^2:4C8.1C2^2288,382
C32⋊4C8.2C22 = C32⋊SD32φ: C22/C1 → C22 ⊆ Out C32⋊4C8488+C3^2:4C8.2C2^2288,383
C32⋊4C8.3C22 = C32⋊Q32φ: C22/C1 → C22 ⊆ Out C32⋊4C8968-C3^2:4C8.3C2^2288,384
C32⋊4C8.4C22 = D12.4D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8484C3^2:4C8.4C2^2288,459
C32⋊4C8.5C22 = D12.32D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8484C3^2:4C8.5C2^2288,475
C32⋊4C8.6C22 = Dic6.19D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8488-C3^2:4C8.6C2^2288,577
C32⋊4C8.7C22 = D12.22D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8488-C3^2:4C8.7C2^2288,581
C32⋊4C8.8C22 = Dic6.20D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8488+C3^2:4C8.8C2^2288,583
C32⋊4C8.9C22 = S3×C3⋊Q16φ: C22/C1 → C22 ⊆ Out C32⋊4C8968-C3^2:4C8.9C2^2288,590
C32⋊4C8.10C22 = D12.11D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8968-C3^2:4C8.10C2^2288,591
C32⋊4C8.11C22 = D12.24D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8968-C3^2:4C8.11C2^2288,594
C32⋊4C8.12C22 = D12.12D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8968-C3^2:4C8.12C2^2288,595
C32⋊4C8.13C22 = Dic6.22D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8488+C3^2:4C8.13C2^2288,596
C32⋊4C8.14C22 = D12.13D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8488+C3^2:4C8.14C2^2288,597
C32⋊4C8.15C22 = C24.32D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8144C3^2:4C8.15C2^2288,772
C32⋊4C8.16C22 = C24.35D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8144C3^2:4C8.16C2^2288,775
C32⋊4C8.17C22 = C62.134D4φ: C22/C1 → C22 ⊆ Out C32⋊4C8144C3^2:4C8.17C2^2288,799
C32⋊4C8.18C22 = C62.75D4φ: C22/C1 → C22 ⊆ Out C32⋊4C8144C3^2:4C8.18C2^2288,808
C32⋊4C8.19C22 = C24.64D6φ: C22/C1 → C22 ⊆ Out C32⋊4C8484C3^2:4C8.19C2^2288,452
C32⋊4C8.20C22 = D12.2Dic3φ: C22/C1 → C22 ⊆ Out C32⋊4C8484C3^2:4C8.20C2^2288,462
C32⋊4C8.21C22 = C24.23D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.21C2^2288,450
C32⋊4C8.22C22 = D12.2D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.22C2^2288,457
C32⋊4C8.23C22 = D24⋊5S3φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.23C2^2288,458
C32⋊4C8.24C22 = D12.30D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.24C2^2288,470
C32⋊4C8.25C22 = C2×C32⋊2Q16φ: C22/C2 → C2 ⊆ Out C32⋊4C896C3^2:4C8.25C2^2288,482
C32⋊4C8.26C22 = C24.26D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8.26C2^2288,769
C32⋊4C8.27C22 = C24.40D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8.27C2^2288,773
C32⋊4C8.28C22 = Q16×C3⋊S3φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8.28C2^2288,774
C32⋊4C8.29C22 = C24.28D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8.29C2^2288,776
C32⋊4C8.30C22 = C2×C32⋊7Q16φ: C22/C2 → C2 ⊆ Out C32⋊4C8288C3^2:4C8.30C2^2288,800
C32⋊4C8.31C22 = C62.74D4φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8.31C2^2288,807
C32⋊4C8.32C22 = C3⋊S3⋊3C16φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.32C2^2288,412
C32⋊4C8.33C22 = C32⋊3M5(2)φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.33C2^2288,413
C32⋊4C8.34C22 = C2×C32⋊2C16φ: C22/C2 → C2 ⊆ Out C32⋊4C896C3^2:4C8.34C2^2288,420
C32⋊4C8.35C22 = C62.4C8φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.35C2^2288,421
C32⋊4C8.36C22 = C24.63D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.36C2^2288,451
C32⋊4C8.37C22 = C24.D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.37C2^2288,453
C32⋊4C8.38C22 = D12.Dic3φ: C22/C2 → C2 ⊆ Out C32⋊4C8484C3^2:4C8.38C2^2288,463
C32⋊4C8.39C22 = C24.95D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8.39C2^2288,758
C32⋊4C8.40C22 = C24.47D6φ: C22/C2 → C2 ⊆ Out C32⋊4C8144C3^2:4C8.40C2^2288,764
C32⋊4C8.41C22 = D4.(C3⋊Dic3)φ: trivial image144C3^2:4C8.41C2^2288,805

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