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Extensions 1→N→G→Q→1 with N=C15 and Q=C42:2C2

Direct product G=NxQ with N=C15 and Q=C42:2C2
dρLabelID
C15xC42:2C2240C15xC4^2:2C2480,931

Semidirect products G=N:Q with N=C15 and Q=C42:2C2
extensionφ:Q→Aut NdρLabelID
C15:1(C42:2C2) = C4:Dic3:D5φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:1(C4^2:2C2)480,413
C15:2(C42:2C2) = D6:C4.D5φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:2(C4^2:2C2)480,417
C15:3(C42:2C2) = C60:5C4:C2φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:3(C4^2:2C2)480,418
C15:4(C42:2C2) = C4:Dic5:S3φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:4(C4^2:2C2)480,421
C15:5(C42:2C2) = (C2xC12).D10φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:5(C4^2:2C2)480,437
C15:6(C42:2C2) = (C2xC60).C22φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:6(C4^2:2C2)480,438
C15:7(C42:2C2) = (C4xDic3):D5φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:7(C4^2:2C2)480,439
C15:8(C42:2C2) = (C4xDic15):C2φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:8(C4^2:2C2)480,442
C15:9(C42:2C2) = D6:Dic5.C2φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:9(C4^2:2C2)480,443
C15:10(C42:2C2) = C5:(C42:3S3)φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:10(C4^2:2C2)480,448
C15:11(C42:2C2) = C10.D4:S3φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:11(C4^2:2C2)480,456
C15:12(C42:2C2) = (C4xDic5):S3φ: C42:2C2/C2xC4 → C22 ⊆ Aut C15240C15:12(C4^2:2C2)480,463
C15:13(C42:2C2) = C23.13(S3xD5)φ: C42:2C2/C23 → C22 ⊆ Aut C15240C15:13(C4^2:2C2)480,606
C15:14(C42:2C2) = C23.14(S3xD5)φ: C42:2C2/C23 → C22 ⊆ Aut C15240C15:14(C4^2:2C2)480,607
C15:15(C42:2C2) = C42:3D15φ: C42:2C2/C42 → C2 ⊆ Aut C15240C15:15(C4^2:2C2)480,841
C15:16(C42:2C2) = C3xC42:2D5φ: C42:2C2/C42 → C2 ⊆ Aut C15240C15:16(C4^2:2C2)480,669
C15:17(C42:2C2) = C5xC42:3S3φ: C42:2C2/C42 → C2 ⊆ Aut C15240C15:17(C4^2:2C2)480,755
C15:18(C42:2C2) = C23.8D30φ: C42:2C2/C22:C4 → C2 ⊆ Aut C15240C15:18(C4^2:2C2)480,844
C15:19(C42:2C2) = C3xC23.D10φ: C42:2C2/C22:C4 → C2 ⊆ Aut C15240C15:19(C4^2:2C2)480,672
C15:20(C42:2C2) = C5xC23.8D6φ: C42:2C2/C22:C4 → C2 ⊆ Aut C15240C15:20(C4^2:2C2)480,758
C15:21(C42:2C2) = C4:C4:D15φ: C42:2C2/C4:C4 → C2 ⊆ Aut C15240C15:21(C4^2:2C2)480,863
C15:22(C42:2C2) = C3xC4:C4:D5φ: C42:2C2/C4:C4 → C2 ⊆ Aut C15240C15:22(C4^2:2C2)480,691
C15:23(C42:2C2) = C5xC4:C4:S3φ: C42:2C2/C4:C4 → C2 ⊆ Aut C15240C15:23(C4^2:2C2)480,777


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