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Extensions 1→N→G→Q→1 with N=Dic15 and Q=C2xC4

Direct product G=NxQ with N=Dic15 and Q=C2xC4
dρLabelID
C2xC4xDic15480C2xC4xDic15480,887

Semidirect products G=N:Q with N=Dic15 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
Dic15:1(C2xC4) = F5xC3:D4φ: C2xC4/C1 → C2xC4 ⊆ Out Dic15608Dic15:1(C2xC4)480,1010
Dic15:2(C2xC4) = C3:D4:F5φ: C2xC4/C1 → C2xC4 ⊆ Out Dic15608Dic15:2(C2xC4)480,1012
Dic15:3(C2xC4) = C4xS3xF5φ: C2xC4/C2 → C4 ⊆ Out Dic15608Dic15:3(C2xC4)480,994
Dic15:4(C2xC4) = S3xC4:F5φ: C2xC4/C2 → C4 ⊆ Out Dic15608Dic15:4(C2xC4)480,996
Dic15:5(C2xC4) = C2xDic3xF5φ: C2xC4/C2 → C4 ⊆ Out Dic15120Dic15:5(C2xC4)480,998
Dic15:6(C2xC4) = C2xDic3:F5φ: C2xC4/C2 → C4 ⊆ Out Dic15120Dic15:6(C2xC4)480,1001
Dic15:7(C2xC4) = D5xDic3:C4φ: C2xC4/C2 → C22 ⊆ Out Dic15240Dic15:7(C2xC4)480,468
Dic15:8(C2xC4) = S3xC10.D4φ: C2xC4/C2 → C22 ⊆ Out Dic15240Dic15:8(C2xC4)480,475
Dic15:9(C2xC4) = D6:(C4xD5)φ: C2xC4/C2 → C22 ⊆ Out Dic15240Dic15:9(C2xC4)480,516
Dic15:10(C2xC4) = C15:17(C4xD4)φ: C2xC4/C2 → C22 ⊆ Out Dic15240Dic15:10(C2xC4)480,517
Dic15:11(C2xC4) = C15:26(C4xD4)φ: C2xC4/C2 → C22 ⊆ Out Dic15240Dic15:11(C2xC4)480,628
Dic15:12(C2xC4) = C15:28(C4xD4)φ: C2xC4/C2 → C22 ⊆ Out Dic15240Dic15:12(C2xC4)480,632
Dic15:13(C2xC4) = Dic15:19D4φ: C2xC4/C4 → C2 ⊆ Out Dic15240Dic15:13(C2xC4)480,846
Dic15:14(C2xC4) = C4xC15:7D4φ: C2xC4/C4 → C2 ⊆ Out Dic15240Dic15:14(C2xC4)480,893
Dic15:15(C2xC4) = C4xD5xDic3φ: C2xC4/C4 → C2 ⊆ Out Dic15240Dic15:15(C2xC4)480,467
Dic15:16(C2xC4) = C4xS3xDic5φ: C2xC4/C4 → C2 ⊆ Out Dic15240Dic15:16(C2xC4)480,473
Dic15:17(C2xC4) = C4xC15:D4φ: C2xC4/C4 → C2 ⊆ Out Dic15240Dic15:17(C2xC4)480,515
Dic15:18(C2xC4) = Dic15:9D4φ: C2xC4/C4 → C2 ⊆ Out Dic15240Dic15:18(C2xC4)480,518
Dic15:19(C2xC4) = C4:C4xD15φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15:19(C2xC4)480,856
Dic15:20(C2xC4) = C2xC30.4Q8φ: C2xC4/C22 → C2 ⊆ Out Dic15480Dic15:20(C2xC4)480,888
Dic15:21(C2xC4) = C4xD30.C2φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15:21(C2xC4)480,477
Dic15:22(C2xC4) = D30.2Q8φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15:22(C2xC4)480,513
Dic15:23(C2xC4) = C2xDic3xDic5φ: C2xC4/C22 → C2 ⊆ Out Dic15480Dic15:23(C2xC4)480,603
Dic15:24(C2xC4) = C2xDic15:5C4φ: C2xC4/C22 → C2 ⊆ Out Dic15480Dic15:24(C2xC4)480,620
Dic15:25(C2xC4) = C42xD15φ: trivial image240Dic15:25(C2xC4)480,836

Non-split extensions G=N.Q with N=Dic15 and Q=C2xC4
extensionφ:Q→Out NdρLabelID
Dic15.1(C2xC4) = F5xDic6φ: C2xC4/C1 → C2xC4 ⊆ Out Dic151208-Dic15.1(C2xC4)480,982
Dic15.2(C2xC4) = Dic6:5F5φ: C2xC4/C1 → C2xC4 ⊆ Out Dic151208-Dic15.2(C2xC4)480,984
Dic15.3(C2xC4) = D12.2F5φ: C2xC4/C1 → C2xC4 ⊆ Out Dic152408-Dic15.3(C2xC4)480,987
Dic15.4(C2xC4) = D12.F5φ: C2xC4/C1 → C2xC4 ⊆ Out Dic152408-Dic15.4(C2xC4)480,989
Dic15.5(C2xC4) = C5:C8.D6φ: C2xC4/C1 → C2xC4 ⊆ Out Dic152408Dic15.5(C2xC4)480,1003
Dic15.6(C2xC4) = D15:C8:C2φ: C2xC4/C1 → C2xC4 ⊆ Out Dic152408Dic15.6(C2xC4)480,1005
Dic15.7(C2xC4) = C4:F5:3S3φ: C2xC4/C2 → C4 ⊆ Out Dic151208Dic15.7(C2xC4)480,983
Dic15.8(C2xC4) = (C4xS3):F5φ: C2xC4/C2 → C4 ⊆ Out Dic151208Dic15.8(C2xC4)480,985
Dic15.9(C2xC4) = S3xD5:C8φ: C2xC4/C2 → C4 ⊆ Out Dic151208Dic15.9(C2xC4)480,986
Dic15.10(C2xC4) = S3xC4.F5φ: C2xC4/C2 → C4 ⊆ Out Dic151208Dic15.10(C2xC4)480,988
Dic15.11(C2xC4) = D15:M4(2)φ: C2xC4/C2 → C4 ⊆ Out Dic151208Dic15.11(C2xC4)480,991
Dic15.12(C2xC4) = C5:C8:D6φ: C2xC4/C2 → C4 ⊆ Out Dic151208Dic15.12(C2xC4)480,993
Dic15.13(C2xC4) = C22:F5.S3φ: C2xC4/C2 → C4 ⊆ Out Dic151208-Dic15.13(C2xC4)480,999
Dic15.14(C2xC4) = C2xS3xC5:C8φ: C2xC4/C2 → C4 ⊆ Out Dic15240Dic15.14(C2xC4)480,1002
Dic15.15(C2xC4) = S3xC22.F5φ: C2xC4/C2 → C4 ⊆ Out Dic151208-Dic15.15(C2xC4)480,1004
Dic15.16(C2xC4) = C2xD6.F5φ: C2xC4/C2 → C4 ⊆ Out Dic15240Dic15.16(C2xC4)480,1008
Dic15.17(C2xC4) = D5xC8:S3φ: C2xC4/C2 → C22 ⊆ Out Dic151204Dic15.17(C2xC4)480,320
Dic15.18(C2xC4) = S3xC8:D5φ: C2xC4/C2 → C22 ⊆ Out Dic151204Dic15.18(C2xC4)480,321
Dic15.19(C2xC4) = C40.34D6φ: C2xC4/C2 → C22 ⊆ Out Dic152404Dic15.19(C2xC4)480,342
Dic15.20(C2xC4) = C40.55D6φ: C2xC4/C2 → C22 ⊆ Out Dic152404Dic15.20(C2xC4)480,343
Dic15.21(C2xC4) = D60.5C4φ: C2xC4/C2 → C22 ⊆ Out Dic152404Dic15.21(C2xC4)480,366
Dic15.22(C2xC4) = D60.4C4φ: C2xC4/C2 → C22 ⊆ Out Dic152404Dic15.22(C2xC4)480,367
Dic15.23(C2xC4) = Dic5:5Dic6φ: C2xC4/C2 → C22 ⊆ Out Dic15480Dic15.23(C2xC4)480,399
Dic15.24(C2xC4) = Dic3:5Dic10φ: C2xC4/C2 → C22 ⊆ Out Dic15480Dic15.24(C2xC4)480,400
Dic15.25(C2xC4) = Dic30:17C4φ: C2xC4/C2 → C22 ⊆ Out Dic15480Dic15.25(C2xC4)480,409
Dic15.26(C2xC4) = Dic30:14C4φ: C2xC4/C2 → C22 ⊆ Out Dic15480Dic15.26(C2xC4)480,416
Dic15.27(C2xC4) = (D5xDic3):C4φ: C2xC4/C2 → C22 ⊆ Out Dic15240Dic15.27(C2xC4)480,469
Dic15.28(C2xC4) = D6.(C4xD5)φ: C2xC4/C2 → C22 ⊆ Out Dic15240Dic15.28(C2xC4)480,474
Dic15.29(C2xC4) = C4xDic30φ: C2xC4/C4 → C2 ⊆ Out Dic15480Dic15.29(C2xC4)480,833
Dic15.30(C2xC4) = Dic15:10Q8φ: C2xC4/C4 → C2 ⊆ Out Dic15480Dic15.30(C2xC4)480,852
Dic15.31(C2xC4) = D60.6C4φ: C2xC4/C4 → C2 ⊆ Out Dic152402Dic15.31(C2xC4)480,866
Dic15.32(C2xC4) = D60.3C4φ: C2xC4/C4 → C2 ⊆ Out Dic152404Dic15.32(C2xC4)480,872
Dic15.33(C2xC4) = S3xC8xD5φ: C2xC4/C4 → C2 ⊆ Out Dic151204Dic15.33(C2xC4)480,319
Dic15.34(C2xC4) = C40:D6φ: C2xC4/C4 → C2 ⊆ Out Dic151204Dic15.34(C2xC4)480,322
Dic15.35(C2xC4) = C40.54D6φ: C2xC4/C4 → C2 ⊆ Out Dic152404Dic15.35(C2xC4)480,341
Dic15.36(C2xC4) = C40.35D6φ: C2xC4/C4 → C2 ⊆ Out Dic152404Dic15.36(C2xC4)480,344
Dic15.37(C2xC4) = Dic15:5Q8φ: C2xC4/C4 → C2 ⊆ Out Dic15480Dic15.37(C2xC4)480,401
Dic15.38(C2xC4) = D10.19(C4xS3)φ: C2xC4/C4 → C2 ⊆ Out Dic15240Dic15.38(C2xC4)480,470
Dic15.39(C2xC4) = (S3xDic5):C4φ: C2xC4/C4 → C2 ⊆ Out Dic15240Dic15.39(C2xC4)480,476
Dic15.40(C2xC4) = C4xC15:Q8φ: C2xC4/C4 → C2 ⊆ Out Dic15480Dic15.40(C2xC4)480,543
Dic15.41(C2xC4) = C42:2D15φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15.41(C2xC4)480,837
Dic15.42(C2xC4) = C23.15D30φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15.42(C2xC4)480,842
Dic15.43(C2xC4) = C2xC40:S3φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15.43(C2xC4)480,865
Dic15.44(C2xC4) = C2xD15:2C8φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15.44(C2xC4)480,365
Dic15.45(C2xC4) = D15:4M4(2)φ: C2xC4/C22 → C2 ⊆ Out Dic151204Dic15.45(C2xC4)480,368
Dic15.46(C2xC4) = C2xD30.5C4φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15.46(C2xC4)480,371
Dic15.47(C2xC4) = (C4xD15):8C4φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15.47(C2xC4)480,423
Dic15.48(C2xC4) = (C4xD15):10C4φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15.48(C2xC4)480,462
Dic15.49(C2xC4) = C23.48(S3xD5)φ: C2xC4/C22 → C2 ⊆ Out Dic15240Dic15.49(C2xC4)480,608
Dic15.50(C2xC4) = C4:C4:7D15φ: trivial image240Dic15.50(C2xC4)480,857
Dic15.51(C2xC4) = C2xC8xD15φ: trivial image240Dic15.51(C2xC4)480,864
Dic15.52(C2xC4) = M4(2)xD15φ: trivial image1204Dic15.52(C2xC4)480,871

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