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Extensions 1→N→G→Q→1 with N=C15 and Q=C8⋊C22

Direct product G=N×Q with N=C15 and Q=C8⋊C22
dρLabelID
C15×C8⋊C221204C15xC8:C2^2480,941

Semidirect products G=N:Q with N=C15 and Q=C8⋊C22
extensionφ:Q→Aut NdρLabelID
C15⋊1(C8⋊C22) = C24⋊D10φ: C8⋊C22/C8 → C22 ⊆ Aut C151204+C15:1(C8:C2^2)480,325
C15⋊2(C8⋊C22) = D24⋊D5φ: C8⋊C22/C8 → C22 ⊆ Aut C151204C15:2(C8:C2^2)480,326
C15⋊3(C8⋊C22) = C40⋊1D6φ: C8⋊C22/C8 → C22 ⊆ Aut C151204+C15:3(C8:C2^2)480,329
C15⋊4(C8⋊C22) = D40⋊S3φ: C8⋊C22/C8 → C22 ⊆ Aut C151204C15:4(C8:C2^2)480,330
C15⋊5(C8⋊C22) = D24⋊6D5φ: C8⋊C22/C8 → C22 ⊆ Aut C151204C15:5(C8:C2^2)480,333
C15⋊6(C8⋊C22) = C40⋊8D6φ: C8⋊C22/C8 → C22 ⊆ Aut C151204C15:6(C8:C2^2)480,334
C15⋊7(C8⋊C22) = C60.36D4φ: C8⋊C22/C2×C4 → C22 ⊆ Aut C151204C15:7(C8:C2^2)480,374
C15⋊8(C8⋊C22) = D20⋊21D6φ: C8⋊C22/C2×C4 → C22 ⊆ Aut C151204C15:8(C8:C2^2)480,375
C15⋊9(C8⋊C22) = D20⋊19D6φ: C8⋊C22/C2×C4 → C22 ⊆ Aut C151204+C15:9(C8:C2^2)480,377
C15⋊10(C8⋊C22) = D60⋊36C22φ: C8⋊C22/C2×C4 → C22 ⊆ Aut C151204C15:10(C8:C2^2)480,380
C15⋊11(C8⋊C22) = C60.38D4φ: C8⋊C22/C2×C4 → C22 ⊆ Aut C151204+C15:11(C8:C2^2)480,381
C15⋊12(C8⋊C22) = D60⋊30C22φ: C8⋊C22/C2×C4 → C22 ⊆ Aut C151204C15:12(C8:C2^2)480,388
C15⋊13(C8⋊C22) = Dic10⋊3D6φ: C8⋊C22/D4 → C22 ⊆ Aut C151208+C15:13(C8:C2^2)480,554
C15⋊14(C8⋊C22) = D60.C22φ: C8⋊C22/D4 → C22 ⊆ Aut C151208+C15:14(C8:C2^2)480,556
C15⋊15(C8⋊C22) = D30.8D4φ: C8⋊C22/D4 → C22 ⊆ Aut C151208-C15:15(C8:C2^2)480,558
C15⋊16(C8⋊C22) = D12⋊10D10φ: C8⋊C22/D4 → C22 ⊆ Aut C151208-C15:16(C8:C2^2)480,565
C15⋊17(C8⋊C22) = D20.9D6φ: C8⋊C22/D4 → C22 ⊆ Aut C151208+C15:17(C8:C2^2)480,567
C15⋊18(C8⋊C22) = D20⋊10D6φ: C8⋊C22/D4 → C22 ⊆ Aut C151208-C15:18(C8:C2^2)480,570
C15⋊19(C8⋊C22) = D12.9D10φ: C8⋊C22/D4 → C22 ⊆ Aut C151208+C15:19(C8:C2^2)480,572
C15⋊20(C8⋊C22) = Dic6⋊D10φ: C8⋊C22/D4 → C22 ⊆ Aut C151208+C15:20(C8:C2^2)480,574
C15⋊21(C8⋊C22) = D12⋊5D10φ: C8⋊C22/D4 → C22 ⊆ Aut C151208+C15:21(C8:C2^2)480,576
C15⋊22(C8⋊C22) = D20⋊D6φ: C8⋊C22/Q8 → C22 ⊆ Aut C151208+C15:22(C8:C2^2)480,578
C15⋊23(C8⋊C22) = D12⋊D10φ: C8⋊C22/Q8 → C22 ⊆ Aut C151208+C15:23(C8:C2^2)480,580
C15⋊24(C8⋊C22) = D60⋊C22φ: C8⋊C22/Q8 → C22 ⊆ Aut C151208+C15:24(C8:C2^2)480,582
C15⋊25(C8⋊C22) = C8⋊D30φ: C8⋊C22/M4(2) → C2 ⊆ Aut C151204+C15:25(C8:C2^2)480,873
C15⋊26(C8⋊C22) = C3×C8⋊D10φ: C8⋊C22/M4(2) → C2 ⊆ Aut C151204C15:26(C8:C2^2)480,701
C15⋊27(C8⋊C22) = C5×C8⋊D6φ: C8⋊C22/M4(2) → C2 ⊆ Aut C151204C15:27(C8:C2^2)480,787
C15⋊28(C8⋊C22) = D8⋊D15φ: C8⋊C22/D8 → C2 ⊆ Aut C151204C15:28(C8:C2^2)480,876
C15⋊29(C8⋊C22) = C3×D8⋊D5φ: C8⋊C22/D8 → C2 ⊆ Aut C151204C15:29(C8:C2^2)480,704
C15⋊30(C8⋊C22) = C5×D8⋊S3φ: C8⋊C22/D8 → C2 ⊆ Aut C151204C15:30(C8:C2^2)480,790
C15⋊31(C8⋊C22) = Q8⋊3D30φ: C8⋊C22/SD16 → C2 ⊆ Aut C151204+C15:31(C8:C2^2)480,879
C15⋊32(C8⋊C22) = C3×D40⋊C2φ: C8⋊C22/SD16 → C2 ⊆ Aut C151204C15:32(C8:C2^2)480,707
C15⋊33(C8⋊C22) = C5×Q8⋊3D6φ: C8⋊C22/SD16 → C2 ⊆ Aut C151204C15:33(C8:C2^2)480,793
C15⋊34(C8⋊C22) = D4.D30φ: C8⋊C22/C2×D4 → C2 ⊆ Aut C151204C15:34(C8:C2^2)480,897
C15⋊35(C8⋊C22) = C3×D4.D10φ: C8⋊C22/C2×D4 → C2 ⊆ Aut C151204C15:35(C8:C2^2)480,725
C15⋊36(C8⋊C22) = C5×D12⋊6C22φ: C8⋊C22/C2×D4 → C2 ⊆ Aut C151204C15:36(C8:C2^2)480,811
C15⋊37(C8⋊C22) = D4⋊D30φ: C8⋊C22/C4○D4 → C2 ⊆ Aut C151204+C15:37(C8:C2^2)480,914
C15⋊38(C8⋊C22) = C3×D4⋊D10φ: C8⋊C22/C4○D4 → C2 ⊆ Aut C151204C15:38(C8:C2^2)480,742
C15⋊39(C8⋊C22) = C5×D4⋊D6φ: C8⋊C22/C4○D4 → C2 ⊆ Aut C151204C15:39(C8:C2^2)480,828


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