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Extensions 1→N→G→Q→1 with N=C24⋊3C4 and Q=C2

Direct product G=N×Q with N=C24⋊3C4 and Q=C2
dρLabelID
C2×C24⋊3C432C2xC2^4:3C4128,1009

Semidirect products G=N:Q with N=C24⋊3C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C24⋊3C4⋊1C2 = C25⋊C4φ: C2/C1 → C2 ⊆ Out C24⋊3C416C2^4:3C4:1C2128,513
C24⋊3C4⋊2C2 = C25.C22φ: C2/C1 → C2 ⊆ Out C24⋊3C416C2^4:3C4:2C2128,621
C24⋊3C4⋊3C2 = C24.78D4φ: C2/C1 → C2 ⊆ Out C24⋊3C416C2^4:3C4:3C2128,630
C24⋊3C4⋊4C2 = C24.90D4φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:4C2128,1040
C24⋊3C4⋊5C2 = C23.191C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:5C2128,1041
C24⋊3C4⋊6C2 = C23.203C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:6C2128,1053
C24⋊3C4⋊7C2 = D4×C22⋊C4φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:7C2128,1070
C24⋊3C4⋊8C2 = C23.257C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:8C2128,1107
C24⋊3C4⋊9C2 = C24⋊D4φ: C2/C1 → C2 ⊆ Out C24⋊3C416C2^4:3C4:9C2128,753
C24⋊3C4⋊10C2 = C24⋊7D4φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:10C2128,1135
C24⋊3C4⋊11C2 = C24.94D4φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:11C2128,1137
C24⋊3C4⋊12C2 = C23.308C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:12C2128,1140
C24⋊3C4⋊13C2 = C24⋊8D4φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:13C2128,1142
C24⋊3C4⋊14C2 = C23.311C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:14C2128,1143
C24⋊3C4⋊15C2 = C23.318C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:15C2128,1150
C24⋊3C4⋊16C2 = C23.335C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:16C2128,1167
C24⋊3C4⋊17C2 = C23.372C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:17C2128,1204
C24⋊3C4⋊18C2 = C23.434C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:18C2128,1266
C24⋊3C4⋊19C2 = C24⋊9D4φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:19C2128,1345
C24⋊3C4⋊20C2 = C24.97D4φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:20C2128,1354
C24⋊3C4⋊21C2 = C23.568C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:21C2128,1400
C24⋊3C4⋊22C2 = C23.570C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:22C2128,1402
C24⋊3C4⋊23C2 = C23.578C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:23C2128,1410
C24⋊3C4⋊24C2 = C23.584C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:24C2128,1416
C24⋊3C4⋊25C2 = C23.585C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:25C2128,1417
C24⋊3C4⋊26C2 = C23.597C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:26C2128,1429
C24⋊3C4⋊27C2 = C24⋊11D4φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:27C2128,1544
C24⋊3C4⋊28C2 = C23≀C2φ: C2/C1 → C2 ⊆ Out C24⋊3C416C2^4:3C4:28C2128,1578
C24⋊3C4⋊29C2 = C24.166D4φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4:29C2128,1581
C24⋊3C4⋊30C2 = C4×C22≀C2φ: trivial image32C2^4:3C4:30C2128,1031

Non-split extensions G=N.Q with N=C24⋊3C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C24⋊3C4.1C2 = C24.4Q8φ: C2/C1 → C2 ⊆ Out C24⋊3C416C2^4:3C4.1C2128,36
C24⋊3C4.2C2 = C24⋊C8φ: C2/C1 → C2 ⊆ Out C24⋊3C416C2^4:3C4.2C2128,48
C24⋊3C4.3C2 = C24.68D4φ: C2/C1 → C2 ⊆ Out C24⋊3C416C2^4:3C4.3C2128,551
C24⋊3C4.4C2 = C23.194C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.4C2128,1044
C24⋊3C4.5C2 = C23.224C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.5C2128,1074
C24⋊3C4.6C2 = C24⋊2Q8φ: C2/C1 → C2 ⊆ Out C24⋊3C416C2^4:3C4.6C2128,761
C24⋊3C4.7C2 = C24⋊4Q8φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.7C2128,1169
C24⋊3C4.8C2 = C23.380C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.8C2128,1212
C24⋊3C4.9C2 = C23.382C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.9C2128,1214
C24⋊3C4.10C2 = C24.96D4φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.10C2128,1215
C24⋊3C4.11C2 = C23.461C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.11C2128,1293
C24⋊3C4.12C2 = C24⋊5Q8φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.12C2128,1358
C24⋊3C4.13C2 = C23.635C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.13C2128,1467
C24⋊3C4.14C2 = C23.636C24φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.14C2128,1468
C24⋊3C4.15C2 = C24⋊6Q8φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.15C2128,1572
C24⋊3C4.16C2 = C24.15Q8φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.16C2128,1574
C24⋊3C4.17C2 = C24⋊8Q8φ: C2/C1 → C2 ⊆ Out C24⋊3C432C2^4:3C4.17C2128,1580
C24⋊3C4.18C2 = C25.85C22φ: trivial image32C2^4:3C4.18C2128,1012

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