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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C3⋊D4

Direct product G=N×Q with N=Dic5 and Q=C3⋊D4
dρLabelID
Dic5×C3⋊D4240Dic5xC3:D4480,627

Semidirect products G=N:Q with N=Dic5 and Q=C3⋊D4
extensionφ:Q→Out NdρLabelID
Dic5⋊1(C3⋊D4) = Dic15⋊5D4φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic5240Dic5:1(C3:D4)480,643
Dic5⋊2(C3⋊D4) = D30⋊6D4φ: C3⋊D4/D6 → C2 ⊆ Out Dic5240Dic5:2(C3:D4)480,609
Dic5⋊3(C3⋊D4) = (S3×C10)⋊D4φ: C3⋊D4/D6 → C2 ⊆ Out Dic5240Dic5:3(C3:D4)480,641
Dic5⋊4(C3⋊D4) = D10⋊D12φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic5240Dic5:4(C3:D4)480,524
Dic5⋊5(C3⋊D4) = (C2×C10)⋊4D12φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic5240Dic5:5(C3:D4)480,642
Dic5⋊6(C3⋊D4) = D6⋊(C4×D5)φ: trivial image240Dic5:6(C3:D4)480,516
Dic5⋊7(C3⋊D4) = C15⋊20(C4×D4)φ: trivial image240Dic5:7(C3:D4)480,520
Dic5⋊8(C3⋊D4) = C15⋊26(C4×D4)φ: trivial image240Dic5:8(C3:D4)480,628

Non-split extensions G=N.Q with N=Dic5 and Q=C3⋊D4
extensionφ:Q→Out NdρLabelID
Dic5.1(C3⋊D4) = D12⋊F5φ: C3⋊D4/C6 → C22 ⊆ Out Dic51208+Dic5.1(C3:D4)480,228
Dic5.2(C3⋊D4) = Dic30⋊C4φ: C3⋊D4/C6 → C22 ⊆ Out Dic51208-Dic5.2(C3:D4)480,230
Dic5.3(C3⋊D4) = Dic5.D12φ: C3⋊D4/C6 → C22 ⊆ Out Dic51208+Dic5.3(C3:D4)480,250
Dic5.4(C3⋊D4) = Dic5.4D12φ: C3⋊D4/C6 → C22 ⊆ Out Dic52408-Dic5.4(C3:D4)480,251
Dic5.5(C3⋊D4) = (C2×C60).C4φ: C3⋊D4/C6 → C22 ⊆ Out Dic52404Dic5.5(C3:D4)480,310
Dic5.6(C3⋊D4) = D20⋊Dic3φ: C3⋊D4/C6 → C22 ⊆ Out Dic51208Dic5.6(C3:D4)480,312
Dic5.7(C3⋊D4) = Dic10⋊2Dic3φ: C3⋊D4/C6 → C22 ⊆ Out Dic51208Dic5.7(C3:D4)480,314
Dic5.8(C3⋊D4) = C5⋊(C12.D4)φ: C3⋊D4/C6 → C22 ⊆ Out Dic51204Dic5.8(C3:D4)480,318
Dic5.9(C3⋊D4) = (C2×C20).D6φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic5240Dic5.9(C3:D4)480,402
Dic5.10(C3⋊D4) = Dic15⋊1Q8φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic5480Dic5.10(C3:D4)480,403
Dic5.11(C3⋊D4) = D5×D4⋊S3φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic51208+Dic5.11(C3:D4)480,553
Dic5.12(C3⋊D4) = D5×D4.S3φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic51208-Dic5.12(C3:D4)480,559
Dic5.13(C3⋊D4) = D5×Q8⋊2S3φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic51208+Dic5.13(C3:D4)480,577
Dic5.14(C3⋊D4) = D5×C3⋊Q16φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic52408-Dic5.14(C3:D4)480,583
Dic5.15(C3⋊D4) = C6.(D4×D5)φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic5240Dic5.15(C3:D4)480,610
Dic5.16(C3⋊D4) = D10.Dic6φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic52408Dic5.16(C3:D4)480,237
Dic5.17(C3⋊D4) = D10.2Dic6φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic52408Dic5.17(C3:D4)480,238
Dic5.18(C3⋊D4) = C30.4M4(2)φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic5480Dic5.18(C3:D4)480,252
Dic5.19(C3⋊D4) = Dic15⋊C8φ: C3⋊D4/Dic3 → C2 ⊆ Out Dic5480Dic5.19(C3:D4)480,253
Dic5.20(C3⋊D4) = D6⋊1Dic10φ: C3⋊D4/D6 → C2 ⊆ Out Dic5240Dic5.20(C3:D4)480,486
Dic5.21(C3⋊D4) = D30⋊Q8φ: C3⋊D4/D6 → C2 ⊆ Out Dic5240Dic5.21(C3:D4)480,487
Dic5.22(C3⋊D4) = D12⋊10D10φ: C3⋊D4/D6 → C2 ⊆ Out Dic51208-Dic5.22(C3:D4)480,565
Dic5.23(C3⋊D4) = D20.9D6φ: C3⋊D4/D6 → C2 ⊆ Out Dic51208+Dic5.23(C3:D4)480,567
Dic5.24(C3⋊D4) = D12.27D10φ: C3⋊D4/D6 → C2 ⊆ Out Dic52408-Dic5.24(C3:D4)480,589
Dic5.25(C3⋊D4) = C60.39C23φ: C3⋊D4/D6 → C2 ⊆ Out Dic52408+Dic5.25(C3:D4)480,591
Dic5.26(C3⋊D4) = D12⋊4F5φ: C3⋊D4/D6 → C2 ⊆ Out Dic51208-Dic5.26(C3:D4)480,231
Dic5.27(C3⋊D4) = D60⋊2C4φ: C3⋊D4/D6 → C2 ⊆ Out Dic51208+Dic5.27(C3:D4)480,233
Dic5.28(C3⋊D4) = Dic5.22D12φ: C3⋊D4/D6 → C2 ⊆ Out Dic5240Dic5.28(C3:D4)480,246
Dic5.29(C3⋊D4) = D30⋊C8φ: C3⋊D4/D6 → C2 ⊆ Out Dic5240Dic5.29(C3:D4)480,247
Dic5.30(C3⋊D4) = D10⋊Dic6φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic5240Dic5.30(C3:D4)480,425
Dic5.31(C3⋊D4) = Dic10⋊3D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic51208+Dic5.31(C3:D4)480,554
Dic5.32(C3⋊D4) = C60.8C23φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic52408-Dic5.32(C3:D4)480,560
Dic5.33(C3⋊D4) = D20⋊D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic51208+Dic5.33(C3:D4)480,578
Dic5.34(C3⋊D4) = D20.13D6φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic52408-Dic5.34(C3:D4)480,584
Dic5.35(C3⋊D4) = (C2×C30)⋊Q8φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic5240Dic5.35(C3:D4)480,650
Dic5.36(C3⋊D4) = C30.7M4(2)φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic5240Dic5.36(C3:D4)480,308
Dic5.37(C3⋊D4) = Dic10⋊Dic3φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic51208Dic5.37(C3:D4)480,313
Dic5.38(C3⋊D4) = D20⋊2Dic3φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic51208Dic5.38(C3:D4)480,315
Dic5.39(C3⋊D4) = C30.22M4(2)φ: C3⋊D4/C2×C6 → C2 ⊆ Out Dic5240Dic5.39(C3:D4)480,317
Dic5.40(C3⋊D4) = D12.24D10φ: trivial image2408-Dic5.40(C3:D4)480,566
Dic5.41(C3⋊D4) = C60.16C23φ: trivial image2408+Dic5.41(C3:D4)480,568
Dic5.42(C3⋊D4) = D20.14D6φ: trivial image2408-Dic5.42(C3:D4)480,590
Dic5.43(C3⋊D4) = D20.D6φ: trivial image2408+Dic5.43(C3:D4)480,592

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