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Extensions 1→N→G→Q→1 with N=C60.7C4 and Q=C2

Direct product G=NxQ with N=C60.7C4 and Q=C2
dρLabelID
C2xC60.7C4240C2xC60.7C4480,886

Semidirect products G=N:Q with N=C60.7C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C60.7C4:1C2 = D60:7C4φ: C2/C1 → C2 ⊆ Out C60.7C41202C60.7C4:1C2480,165
C60.7C4:2C2 = C20.5D12φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:2C2480,35
C60.7C4:3C2 = D20:21D6φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:3C2480,375
C60.7C4:4C2 = D20.37D6φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4:4C2480,383
C60.7C4:5C2 = C60.28D4φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:5C2480,34
C60.7C4:6C2 = C60.36D4φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:6C2480,374
C60.7C4:7C2 = D12.37D10φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4:7C2480,385
C60.7C4:8C2 = C60.97D4φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:8C2480,53
C60.7C4:9C2 = D20.3Dic3φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4:9C2480,359
C60.7C4:10C2 = S3xC4.Dic5φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:10C2480,363
C60.7C4:11C2 = C60.99D4φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:11C2480,55
C60.7C4:12C2 = D5xC4.Dic3φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:12C2480,358
C60.7C4:13C2 = D12.2Dic5φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4:13C2480,362
C60.7C4:14C2 = M4(2):D15φ: C2/C1 → C2 ⊆ Out C60.7C41204+C60.7C4:14C2480,183
C60.7C4:15C2 = C60.8D4φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:15C2480,193
C60.7C4:16C2 = Q8:3Dic15φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:16C2480,197
C60.7C4:17C2 = M4(2)xD15φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:17C2480,871
C60.7C4:18C2 = D4.D30φ: C2/C1 → C2 ⊆ Out C60.7C41204C60.7C4:18C2480,897
C60.7C4:19C2 = Q8.11D30φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4:19C2480,907
C60.7C4:20C2 = D4.Dic15φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4:20C2480,913
C60.7C4:21C2 = D4:D30φ: C2/C1 → C2 ⊆ Out C60.7C41204+C60.7C4:21C2480,914
C60.7C4:22C2 = D4.9D30φ: C2/C1 → C2 ⊆ Out C60.7C42404-C60.7C4:22C2480,916
C60.7C4:23C2 = D60.6C4φ: trivial image2402C60.7C4:23C2480,866

Non-split extensions G=N.Q with N=C60.7C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C60.7C4.1C2 = C4.18D60φ: C2/C1 → C2 ⊆ Out C60.7C42402C60.7C4.1C2480,179
C60.7C4.2C2 = C60.54D4φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4.2C2480,38
C60.7C4.3C2 = C12.6D20φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4.3C2480,37
C60.7C4.4C2 = C12.59D20φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4.4C2480,69
C60.7C4.5C2 = C60.105D4φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4.5C2480,67
C60.7C4.6C2 = C60.210D4φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4.6C2480,182
C60.7C4.7C2 = C4.D60φ: C2/C1 → C2 ⊆ Out C60.7C42404-C60.7C4.7C2480,184
C60.7C4.8C2 = C60.10D4φ: C2/C1 → C2 ⊆ Out C60.7C42404C60.7C4.8C2480,196

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