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Extensions 1→N→G→Q→1 with N=Dic15 and Q=C2×C4

Direct product G=N×Q with N=Dic15 and Q=C2×C4
dρLabelID
C2×C4×Dic15480C2xC4xDic15480,887

Semidirect products G=N:Q with N=Dic15 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic15⋊1(C2×C4) = F5×C3⋊D4φ: C2×C4/C1 → C2×C4 ⊆ Out Dic15608Dic15:1(C2xC4)480,1010
Dic15⋊2(C2×C4) = C3⋊D4⋊F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic15608Dic15:2(C2xC4)480,1012
Dic15⋊3(C2×C4) = C4×S3×F5φ: C2×C4/C2 → C4 ⊆ Out Dic15608Dic15:3(C2xC4)480,994
Dic15⋊4(C2×C4) = S3×C4⋊F5φ: C2×C4/C2 → C4 ⊆ Out Dic15608Dic15:4(C2xC4)480,996
Dic15⋊5(C2×C4) = C2×Dic3×F5φ: C2×C4/C2 → C4 ⊆ Out Dic15120Dic15:5(C2xC4)480,998
Dic15⋊6(C2×C4) = C2×Dic3⋊F5φ: C2×C4/C2 → C4 ⊆ Out Dic15120Dic15:6(C2xC4)480,1001
Dic15⋊7(C2×C4) = D5×Dic3⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic15240Dic15:7(C2xC4)480,468
Dic15⋊8(C2×C4) = S3×C10.D4φ: C2×C4/C2 → C22 ⊆ Out Dic15240Dic15:8(C2xC4)480,475
Dic15⋊9(C2×C4) = D6⋊(C4×D5)φ: C2×C4/C2 → C22 ⊆ Out Dic15240Dic15:9(C2xC4)480,516
Dic15⋊10(C2×C4) = C15⋊17(C4×D4)φ: C2×C4/C2 → C22 ⊆ Out Dic15240Dic15:10(C2xC4)480,517
Dic15⋊11(C2×C4) = C15⋊26(C4×D4)φ: C2×C4/C2 → C22 ⊆ Out Dic15240Dic15:11(C2xC4)480,628
Dic15⋊12(C2×C4) = C15⋊28(C4×D4)φ: C2×C4/C2 → C22 ⊆ Out Dic15240Dic15:12(C2xC4)480,632
Dic15⋊13(C2×C4) = Dic15⋊19D4φ: C2×C4/C4 → C2 ⊆ Out Dic15240Dic15:13(C2xC4)480,846
Dic15⋊14(C2×C4) = C4×C15⋊7D4φ: C2×C4/C4 → C2 ⊆ Out Dic15240Dic15:14(C2xC4)480,893
Dic15⋊15(C2×C4) = C4×D5×Dic3φ: C2×C4/C4 → C2 ⊆ Out Dic15240Dic15:15(C2xC4)480,467
Dic15⋊16(C2×C4) = C4×S3×Dic5φ: C2×C4/C4 → C2 ⊆ Out Dic15240Dic15:16(C2xC4)480,473
Dic15⋊17(C2×C4) = C4×C15⋊D4φ: C2×C4/C4 → C2 ⊆ Out Dic15240Dic15:17(C2xC4)480,515
Dic15⋊18(C2×C4) = Dic15⋊9D4φ: C2×C4/C4 → C2 ⊆ Out Dic15240Dic15:18(C2xC4)480,518
Dic15⋊19(C2×C4) = C4⋊C4×D15φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15:19(C2xC4)480,856
Dic15⋊20(C2×C4) = C2×C30.4Q8φ: C2×C4/C22 → C2 ⊆ Out Dic15480Dic15:20(C2xC4)480,888
Dic15⋊21(C2×C4) = C4×D30.C2φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15:21(C2xC4)480,477
Dic15⋊22(C2×C4) = D30.2Q8φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15:22(C2xC4)480,513
Dic15⋊23(C2×C4) = C2×Dic3×Dic5φ: C2×C4/C22 → C2 ⊆ Out Dic15480Dic15:23(C2xC4)480,603
Dic15⋊24(C2×C4) = C2×Dic15⋊5C4φ: C2×C4/C22 → C2 ⊆ Out Dic15480Dic15:24(C2xC4)480,620
Dic15⋊25(C2×C4) = C42×D15φ: trivial image240Dic15:25(C2xC4)480,836

Non-split extensions G=N.Q with N=Dic15 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
Dic15.1(C2×C4) = F5×Dic6φ: C2×C4/C1 → C2×C4 ⊆ Out Dic151208-Dic15.1(C2xC4)480,982
Dic15.2(C2×C4) = Dic6⋊5F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic151208-Dic15.2(C2xC4)480,984
Dic15.3(C2×C4) = D12.2F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic152408-Dic15.3(C2xC4)480,987
Dic15.4(C2×C4) = D12.F5φ: C2×C4/C1 → C2×C4 ⊆ Out Dic152408-Dic15.4(C2xC4)480,989
Dic15.5(C2×C4) = C5⋊C8.D6φ: C2×C4/C1 → C2×C4 ⊆ Out Dic152408Dic15.5(C2xC4)480,1003
Dic15.6(C2×C4) = D15⋊C8⋊C2φ: C2×C4/C1 → C2×C4 ⊆ Out Dic152408Dic15.6(C2xC4)480,1005
Dic15.7(C2×C4) = C4⋊F5⋊3S3φ: C2×C4/C2 → C4 ⊆ Out Dic151208Dic15.7(C2xC4)480,983
Dic15.8(C2×C4) = (C4×S3)⋊F5φ: C2×C4/C2 → C4 ⊆ Out Dic151208Dic15.8(C2xC4)480,985
Dic15.9(C2×C4) = S3×D5⋊C8φ: C2×C4/C2 → C4 ⊆ Out Dic151208Dic15.9(C2xC4)480,986
Dic15.10(C2×C4) = S3×C4.F5φ: C2×C4/C2 → C4 ⊆ Out Dic151208Dic15.10(C2xC4)480,988
Dic15.11(C2×C4) = D15⋊M4(2)φ: C2×C4/C2 → C4 ⊆ Out Dic151208Dic15.11(C2xC4)480,991
Dic15.12(C2×C4) = C5⋊C8⋊D6φ: C2×C4/C2 → C4 ⊆ Out Dic151208Dic15.12(C2xC4)480,993
Dic15.13(C2×C4) = C22⋊F5.S3φ: C2×C4/C2 → C4 ⊆ Out Dic151208-Dic15.13(C2xC4)480,999
Dic15.14(C2×C4) = C2×S3×C5⋊C8φ: C2×C4/C2 → C4 ⊆ Out Dic15240Dic15.14(C2xC4)480,1002
Dic15.15(C2×C4) = S3×C22.F5φ: C2×C4/C2 → C4 ⊆ Out Dic151208-Dic15.15(C2xC4)480,1004
Dic15.16(C2×C4) = C2×D6.F5φ: C2×C4/C2 → C4 ⊆ Out Dic15240Dic15.16(C2xC4)480,1008
Dic15.17(C2×C4) = D5×C8⋊S3φ: C2×C4/C2 → C22 ⊆ Out Dic151204Dic15.17(C2xC4)480,320
Dic15.18(C2×C4) = S3×C8⋊D5φ: C2×C4/C2 → C22 ⊆ Out Dic151204Dic15.18(C2xC4)480,321
Dic15.19(C2×C4) = C40.34D6φ: C2×C4/C2 → C22 ⊆ Out Dic152404Dic15.19(C2xC4)480,342
Dic15.20(C2×C4) = C40.55D6φ: C2×C4/C2 → C22 ⊆ Out Dic152404Dic15.20(C2xC4)480,343
Dic15.21(C2×C4) = D60.5C4φ: C2×C4/C2 → C22 ⊆ Out Dic152404Dic15.21(C2xC4)480,366
Dic15.22(C2×C4) = D60.4C4φ: C2×C4/C2 → C22 ⊆ Out Dic152404Dic15.22(C2xC4)480,367
Dic15.23(C2×C4) = Dic5⋊5Dic6φ: C2×C4/C2 → C22 ⊆ Out Dic15480Dic15.23(C2xC4)480,399
Dic15.24(C2×C4) = Dic3⋊5Dic10φ: C2×C4/C2 → C22 ⊆ Out Dic15480Dic15.24(C2xC4)480,400
Dic15.25(C2×C4) = Dic30⋊17C4φ: C2×C4/C2 → C22 ⊆ Out Dic15480Dic15.25(C2xC4)480,409
Dic15.26(C2×C4) = Dic30⋊14C4φ: C2×C4/C2 → C22 ⊆ Out Dic15480Dic15.26(C2xC4)480,416
Dic15.27(C2×C4) = (D5×Dic3)⋊C4φ: C2×C4/C2 → C22 ⊆ Out Dic15240Dic15.27(C2xC4)480,469
Dic15.28(C2×C4) = D6.(C4×D5)φ: C2×C4/C2 → C22 ⊆ Out Dic15240Dic15.28(C2xC4)480,474
Dic15.29(C2×C4) = C4×Dic30φ: C2×C4/C4 → C2 ⊆ Out Dic15480Dic15.29(C2xC4)480,833
Dic15.30(C2×C4) = Dic15⋊10Q8φ: C2×C4/C4 → C2 ⊆ Out Dic15480Dic15.30(C2xC4)480,852
Dic15.31(C2×C4) = D60.6C4φ: C2×C4/C4 → C2 ⊆ Out Dic152402Dic15.31(C2xC4)480,866
Dic15.32(C2×C4) = D60.3C4φ: C2×C4/C4 → C2 ⊆ Out Dic152404Dic15.32(C2xC4)480,872
Dic15.33(C2×C4) = S3×C8×D5φ: C2×C4/C4 → C2 ⊆ Out Dic151204Dic15.33(C2xC4)480,319
Dic15.34(C2×C4) = C40⋊D6φ: C2×C4/C4 → C2 ⊆ Out Dic151204Dic15.34(C2xC4)480,322
Dic15.35(C2×C4) = C40.54D6φ: C2×C4/C4 → C2 ⊆ Out Dic152404Dic15.35(C2xC4)480,341
Dic15.36(C2×C4) = C40.35D6φ: C2×C4/C4 → C2 ⊆ Out Dic152404Dic15.36(C2xC4)480,344
Dic15.37(C2×C4) = Dic15⋊5Q8φ: C2×C4/C4 → C2 ⊆ Out Dic15480Dic15.37(C2xC4)480,401
Dic15.38(C2×C4) = D10.19(C4×S3)φ: C2×C4/C4 → C2 ⊆ Out Dic15240Dic15.38(C2xC4)480,470
Dic15.39(C2×C4) = (S3×Dic5)⋊C4φ: C2×C4/C4 → C2 ⊆ Out Dic15240Dic15.39(C2xC4)480,476
Dic15.40(C2×C4) = C4×C15⋊Q8φ: C2×C4/C4 → C2 ⊆ Out Dic15480Dic15.40(C2xC4)480,543
Dic15.41(C2×C4) = C42⋊2D15φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15.41(C2xC4)480,837
Dic15.42(C2×C4) = C23.15D30φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15.42(C2xC4)480,842
Dic15.43(C2×C4) = C2×C40⋊S3φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15.43(C2xC4)480,865
Dic15.44(C2×C4) = C2×D15⋊2C8φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15.44(C2xC4)480,365
Dic15.45(C2×C4) = D15⋊4M4(2)φ: C2×C4/C22 → C2 ⊆ Out Dic151204Dic15.45(C2xC4)480,368
Dic15.46(C2×C4) = C2×D30.5C4φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15.46(C2xC4)480,371
Dic15.47(C2×C4) = (C4×D15)⋊8C4φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15.47(C2xC4)480,423
Dic15.48(C2×C4) = (C4×D15)⋊10C4φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15.48(C2xC4)480,462
Dic15.49(C2×C4) = C23.48(S3×D5)φ: C2×C4/C22 → C2 ⊆ Out Dic15240Dic15.49(C2xC4)480,608
Dic15.50(C2×C4) = C4⋊C4⋊7D15φ: trivial image240Dic15.50(C2xC4)480,857
Dic15.51(C2×C4) = C2×C8×D15φ: trivial image240Dic15.51(C2xC4)480,864
Dic15.52(C2×C4) = M4(2)×D15φ: trivial image1204Dic15.52(C2xC4)480,871

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