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Extensions 1→N→G→Q→1 with N=C15 and Q=C4×D4

Direct product G=N×Q with N=C15 and Q=C4×D4
dρLabelID
D4×C60240D4xC60480,923

Semidirect products G=N:Q with N=C15 and Q=C4×D4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C4×D4) = F5×D12φ: C4×D4/C4 → C2×C4 ⊆ Aut C15608+C15:1(C4xD4)480,995
C15⋊2(C4×D4) = D60⋊3C4φ: C4×D4/C4 → C2×C4 ⊆ Aut C15608+C15:2(C4xD4)480,997
C15⋊3(C4×D4) = F5×C3⋊D4φ: C4×D4/C22 → C2×C4 ⊆ Aut C15608C15:3(C4xD4)480,1010
C15⋊4(C4×D4) = C3⋊D4⋊F5φ: C4×D4/C22 → C2×C4 ⊆ Aut C15608C15:4(C4xD4)480,1012
C15⋊5(C4×D4) = Dic3⋊4D20φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:5(C4xD4)480,471
C15⋊6(C4×D4) = Dic15⋊13D4φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:6(C4xD4)480,472
C15⋊7(C4×D4) = Dic5⋊4D12φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:7(C4xD4)480,481
C15⋊8(C4×D4) = Dic15⋊14D4φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:8(C4xD4)480,482
C15⋊9(C4×D4) = Dic5×D12φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:9(C4xD4)480,491
C15⋊10(C4×D4) = D60⋊17C4φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:10(C4xD4)480,494
C15⋊11(C4×D4) = Dic3×D20φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:11(C4xD4)480,501
C15⋊12(C4×D4) = D60⋊14C4φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:12(C4xD4)480,504
C15⋊13(C4×D4) = D20⋊8Dic3φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:13(C4xD4)480,510
C15⋊14(C4×D4) = Dic15⋊8D4φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:14(C4xD4)480,511
C15⋊15(C4×D4) = C4×C15⋊D4φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:15(C4xD4)480,515
C15⋊16(C4×D4) = D6⋊(C4×D5)φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:16(C4xD4)480,516
C15⋊17(C4×D4) = C15⋊17(C4×D4)φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:17(C4xD4)480,517
C15⋊18(C4×D4) = Dic15⋊9D4φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:18(C4xD4)480,518
C15⋊19(C4×D4) = C4×C3⋊D20φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:19(C4xD4)480,519
C15⋊20(C4×D4) = C15⋊20(C4×D4)φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:20(C4xD4)480,520
C15⋊21(C4×D4) = C4×C5⋊D12φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:21(C4xD4)480,521
C15⋊22(C4×D4) = C15⋊22(C4×D4)φ: C4×D4/C2×C4 → C22 ⊆ Aut C15240C15:22(C4xD4)480,522
C15⋊23(C4×D4) = D4×C3⋊F5φ: C4×D4/D4 → C4 ⊆ Aut C15608C15:23(C4xD4)480,1067
C15⋊24(C4×D4) = C3×D4×F5φ: C4×D4/D4 → C4 ⊆ Aut C15608C15:24(C4xD4)480,1054
C15⋊25(C4×D4) = Dic5×C3⋊D4φ: C4×D4/C23 → C22 ⊆ Aut C15240C15:25(C4xD4)480,627
C15⋊26(C4×D4) = C15⋊26(C4×D4)φ: C4×D4/C23 → C22 ⊆ Aut C15240C15:26(C4xD4)480,628
C15⋊27(C4×D4) = Dic3×C5⋊D4φ: C4×D4/C23 → C22 ⊆ Aut C15240C15:27(C4xD4)480,629
C15⋊28(C4×D4) = C15⋊28(C4×D4)φ: C4×D4/C23 → C22 ⊆ Aut C15240C15:28(C4xD4)480,632
C15⋊29(C4×D4) = Dic15⋊16D4φ: C4×D4/C23 → C22 ⊆ Aut C15240C15:29(C4xD4)480,635
C15⋊30(C4×D4) = Dic15⋊17D4φ: C4×D4/C23 → C22 ⊆ Aut C15240C15:30(C4xD4)480,636
C15⋊31(C4×D4) = C4×D60φ: C4×D4/C42 → C2 ⊆ Aut C15240C15:31(C4xD4)480,838
C15⋊32(C4×D4) = C12×D20φ: C4×D4/C42 → C2 ⊆ Aut C15240C15:32(C4xD4)480,666
C15⋊33(C4×D4) = C20×D12φ: C4×D4/C42 → C2 ⊆ Aut C15240C15:33(C4xD4)480,752
C15⋊34(C4×D4) = Dic15⋊19D4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C15240C15:34(C4xD4)480,846
C15⋊35(C4×D4) = C3×Dic5⋊4D4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C15240C15:35(C4xD4)480,674
C15⋊36(C4×D4) = C5×Dic3⋊4D4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C15240C15:36(C4xD4)480,760
C15⋊37(C4×D4) = D60⋊11C4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C15240C15:37(C4xD4)480,858
C15⋊38(C4×D4) = C3×D20⋊8C4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C15240C15:38(C4xD4)480,686
C15⋊39(C4×D4) = C5×Dic3⋊5D4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C15240C15:39(C4xD4)480,772
C15⋊40(C4×D4) = C4×C15⋊7D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C15240C15:40(C4xD4)480,893
C15⋊41(C4×D4) = C12×C5⋊D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C15240C15:41(C4xD4)480,721
C15⋊42(C4×D4) = C20×C3⋊D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C15240C15:42(C4xD4)480,807
C15⋊43(C4×D4) = D4×Dic15φ: C4×D4/C2×D4 → C2 ⊆ Aut C15240C15:43(C4xD4)480,899
C15⋊44(C4×D4) = C3×D4×Dic5φ: C4×D4/C2×D4 → C2 ⊆ Aut C15240C15:44(C4xD4)480,727
C15⋊45(C4×D4) = C5×D4×Dic3φ: C4×D4/C2×D4 → C2 ⊆ Aut C15240C15:45(C4xD4)480,813


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