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

Direct product G=N×Q with N=C15 and Q=C42⋊C2
dρLabelID
C15×C42⋊C2240C15xC4^2:C2480,922

Semidirect products G=N:Q with N=C15 and Q=C42⋊C2
extensionφ:Q→Aut NdρLabelID
C15⋊1(C42⋊C2) = C4⋊F5⋊3S3φ: C42⋊C2/C4 → C2×C4 ⊆ Aut C151208C15:1(C4^2:C2)480,983
C15⋊2(C42⋊C2) = (C4×S3)⋊F5φ: C42⋊C2/C4 → C2×C4 ⊆ Aut C151208C15:2(C4^2:C2)480,985
C15⋊3(C42⋊C2) = C22⋊F5.S3φ: C42⋊C2/C22 → C2×C4 ⊆ Aut C151208-C15:3(C4^2:C2)480,999
C15⋊4(C42⋊C2) = (C2×C12)⋊6F5φ: C42⋊C2/C2×C4 → C4 ⊆ Aut C151204C15:4(C4^2:C2)480,1065
C15⋊5(C42⋊C2) = C3×D10.C23φ: C42⋊C2/C2×C4 → C4 ⊆ Aut C151204C15:5(C4^2:C2)480,1052
C15⋊6(C42⋊C2) = (S3×C20)⋊5C4φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:6(C4^2:C2)480,414
C15⋊7(C42⋊C2) = (C4×D15)⋊8C4φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:7(C4^2:C2)480,423
C15⋊8(C42⋊C2) = (D5×C12)⋊C4φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:8(C4^2:C2)480,433
C15⋊9(C42⋊C2) = (C4×D5)⋊Dic3φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:9(C4^2:C2)480,434
C15⋊10(C42⋊C2) = (S3×C20)⋊7C4φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:10(C4^2:C2)480,447
C15⋊11(C42⋊C2) = (C4×D15)⋊10C4φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:11(C4^2:C2)480,462
C15⋊12(C42⋊C2) = (D5×Dic3)⋊C4φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:12(C4^2:C2)480,469
C15⋊13(C42⋊C2) = D10.19(C4×S3)φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:13(C4^2:C2)480,470
C15⋊14(C42⋊C2) = D6.(C4×D5)φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:14(C4^2:C2)480,474
C15⋊15(C42⋊C2) = (S3×Dic5)⋊C4φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:15(C4^2:C2)480,476
C15⋊16(C42⋊C2) = D30.C2⋊C4φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:16(C4^2:C2)480,478
C15⋊17(C42⋊C2) = D30.23(C2×C4)φ: C42⋊C2/C2×C4 → C22 ⊆ Aut C15240C15:17(C4^2:C2)480,479
C15⋊18(C42⋊C2) = (C6×Dic5)⋊7C4φ: C42⋊C2/C23 → C22 ⊆ Aut C15240C15:18(C4^2:C2)480,604
C15⋊19(C42⋊C2) = C23.26(S3×D5)φ: C42⋊C2/C23 → C22 ⊆ Aut C15240C15:19(C4^2:C2)480,605
C15⋊20(C42⋊C2) = C23.48(S3×D5)φ: C42⋊C2/C23 → C22 ⊆ Aut C15240C15:20(C4^2:C2)480,608
C15⋊21(C42⋊C2) = C42⋊2D15φ: C42⋊C2/C42 → C2 ⊆ Aut C15240C15:21(C4^2:C2)480,837
C15⋊22(C42⋊C2) = C3×C42⋊D5φ: C42⋊C2/C42 → C2 ⊆ Aut C15240C15:22(C4^2:C2)480,665
C15⋊23(C42⋊C2) = C5×C42⋊2S3φ: C42⋊C2/C42 → C2 ⊆ Aut C15240C15:23(C4^2:C2)480,751
C15⋊24(C42⋊C2) = C23.15D30φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C15240C15:24(C4^2:C2)480,842
C15⋊25(C42⋊C2) = C3×C23.11D10φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C15240C15:25(C4^2:C2)480,670
C15⋊26(C42⋊C2) = C5×C23.16D6φ: C42⋊C2/C22⋊C4 → C2 ⊆ Aut C15240C15:26(C4^2:C2)480,756
C15⋊27(C42⋊C2) = C4⋊C4⋊7D15φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C15240C15:27(C4^2:C2)480,857
C15⋊28(C42⋊C2) = C3×C4⋊C4⋊7D5φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C15240C15:28(C4^2:C2)480,685
C15⋊29(C42⋊C2) = C5×C4⋊C4⋊7S3φ: C42⋊C2/C4⋊C4 → C2 ⊆ Aut C15240C15:29(C4^2:C2)480,771
C15⋊30(C42⋊C2) = C23.26D30φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C15240C15:30(C4^2:C2)480,891
C15⋊31(C42⋊C2) = C3×C23.21D10φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C15240C15:31(C4^2:C2)480,719
C15⋊32(C42⋊C2) = C5×C23.26D6φ: C42⋊C2/C22×C4 → C2 ⊆ Aut C15240C15:32(C4^2:C2)480,805


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