Extensions 1→N→G→Q→1 with N=C4:D12 and Q=C2

Direct product G=NxQ with N=C4:D12 and Q=C2
dρLabelID
C2xC4:D1296C2xC4:D12192,1034

Semidirect products G=N:Q with N=C4:D12 and Q=C2
extensionφ:Q→Out NdρLabelID
C4:D12:1C2 = C12:4D8φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:1C2192,254
C4:D12:2C2 = C8:D12φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:2C2192,271
C4:D12:3C2 = C42:11D6φ: C2/C1C2 ⊆ Out C4:D1248C4:D12:3C2192,1084
C4:D12:4C2 = C42.100D6φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:4C2192,1094
C4:D12:5C2 = C42:27D6φ: C2/C1C2 ⊆ Out C4:D1248C4:D12:5C2192,1270
C4:D12:6C2 = Q8:5D12φ: C2/C1C2 ⊆ Out C4:D12244+C4:D12:6C2192,381
C4:D12:7C2 = C4:D24φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:7C2192,402
C4:D12:8C2 = C12:7D8φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:8C2192,574
C4:D12:9C2 = C42.64D6φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:9C2192,617
C4:D12:10C2 = C12:D8φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:10C2192,632
C4:D12:11C2 = D4xD12φ: C2/C1C2 ⊆ Out C4:D1248C4:D12:11C2192,1108
C4:D12:12C2 = Dic6:24D4φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:12C2192,1112
C4:D12:13C2 = Q8:7D12φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:13C2192,1136
C4:D12:14C2 = C42:20D6φ: C2/C1C2 ⊆ Out C4:D1248C4:D12:14C2192,1233
C4:D12:15C2 = C42.155D6φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:15C2192,1256
C4:D12:16C2 = S3xC4:1D4φ: C2/C1C2 ⊆ Out C4:D1248C4:D12:16C2192,1273
C4:D12:17C2 = C42.240D6φ: C2/C1C2 ⊆ Out C4:D1296C4:D12:17C2192,1284
C4:D12:18C2 = C42.276D6φ: trivial image96C4:D12:18C2192,1036

Non-split extensions G=N.Q with N=C4:D12 and Q=C2
extensionφ:Q→Out NdρLabelID
C4:D12.1C2 = C8:5D12φ: C2/C1C2 ⊆ Out C4:D1296C4:D12.1C2192,252
C4:D12.2C2 = C4.5D24φ: C2/C1C2 ⊆ Out C4:D1296C4:D12.2C2192,253
C4:D12.3C2 = C42.19D6φ: C2/C1C2 ⊆ Out C4:D1296C4:D12.3C2192,272
C4:D12.4C2 = C4.D24φ: C2/C1C2 ⊆ Out C4:D1296C4:D12.4C2192,44
C4:D12.5C2 = Dic6:8D4φ: C2/C1C2 ⊆ Out C4:D1296C4:D12.5C2192,407
C4:D12.6C2 = Q8:2D12φ: C2/C1C2 ⊆ Out C4:D1296C4:D12.6C2192,586
C4:D12.7C2 = C42.70D6φ: C2/C1C2 ⊆ Out C4:D1296C4:D12.7C2192,626
C4:D12.8C2 = C12:6SD16φ: C2/C1C2 ⊆ Out C4:D1296C4:D12.8C2192,644
C4:D12.9C2 = C12.D8φ: C2/C1C2 ⊆ Out C4:D1296C4:D12.9C2192,647
C4:D12.10C2 = C42.136D6φ: C2/C1C2 ⊆ Out C4:D1296C4:D12.10C2192,1144

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