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Extensions 1→N→G→Q→1 with N=C15 and Q=C22⋊Q8

Direct product G=N×Q with N=C15 and Q=C22⋊Q8
dρLabelID
C15×C22⋊Q8240C15xC2^2:Q8480,927

Semidirect products G=N:Q with N=C15 and Q=C22⋊Q8
extensionφ:Q→Aut NdρLabelID
C15⋊1(C22⋊Q8) = D10⋊Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:1(C2^2:Q8)480,425
C15⋊2(C22⋊Q8) = D6⋊Dic10φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:2(C2^2:Q8)480,428
C15⋊3(C22⋊Q8) = C60.67D4φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:3(C2^2:Q8)480,435
C15⋊4(C22⋊Q8) = C60.68D4φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:4(C2^2:Q8)480,436
C15⋊5(C22⋊Q8) = C60.45D4φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:5(C2^2:Q8)480,441
C15⋊6(C22⋊Q8) = C60.46D4φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:6(C2^2:Q8)480,445
C15⋊7(C22⋊Q8) = D30⋊8Q8φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:7(C2^2:Q8)480,453
C15⋊8(C22⋊Q8) = D30⋊9Q8φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:8(C2^2:Q8)480,459
C15⋊9(C22⋊Q8) = D30⋊10Q8φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:9(C2^2:Q8)480,466
C15⋊10(C22⋊Q8) = D6⋊1Dic10φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:10(C2^2:Q8)480,486
C15⋊11(C22⋊Q8) = D30⋊Q8φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:11(C2^2:Q8)480,487
C15⋊12(C22⋊Q8) = D6⋊2Dic10φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:12(C2^2:Q8)480,493
C15⋊13(C22⋊Q8) = D30⋊2Q8φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:13(C2^2:Q8)480,495
C15⋊14(C22⋊Q8) = D10⋊1Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:14(C2^2:Q8)480,497
C15⋊15(C22⋊Q8) = D10⋊2Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:15(C2^2:Q8)480,498
C15⋊16(C22⋊Q8) = D30⋊3Q8φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:16(C2^2:Q8)480,500
C15⋊17(C22⋊Q8) = D30⋊4Q8φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:17(C2^2:Q8)480,505
C15⋊18(C22⋊Q8) = Dic15.D4φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:18(C2^2:Q8)480,506
C15⋊19(C22⋊Q8) = D10⋊4Dic6φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:19(C2^2:Q8)480,507
C15⋊20(C22⋊Q8) = D6⋊3Dic10φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:20(C2^2:Q8)480,508
C15⋊21(C22⋊Q8) = D6⋊4Dic10φ: C22⋊Q8/C2×C4 → C22 ⊆ Aut C15240C15:21(C2^2:Q8)480,512
C15⋊22(C22⋊Q8) = (C2×C30)⋊Q8φ: C22⋊Q8/C23 → C22 ⊆ Aut C15240C15:22(C2^2:Q8)480,650
C15⋊23(C22⋊Q8) = (C2×C10)⋊8Dic6φ: C22⋊Q8/C23 → C22 ⊆ Aut C15240C15:23(C2^2:Q8)480,651
C15⋊24(C22⋊Q8) = Dic15.48D4φ: C22⋊Q8/C23 → C22 ⊆ Aut C15240C15:24(C2^2:Q8)480,652
C15⋊25(C22⋊Q8) = C22⋊2Dic30φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C15240C15:25(C2^2:Q8)480,843
C15⋊26(C22⋊Q8) = C3×Dic5.14D4φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C15240C15:26(C2^2:Q8)480,671
C15⋊27(C22⋊Q8) = C5×Dic3.D4φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C15240C15:27(C2^2:Q8)480,757
C15⋊28(C22⋊Q8) = D30⋊5Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C15240C15:28(C2^2:Q8)480,861
C15⋊29(C22⋊Q8) = D30⋊6Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C15240C15:29(C2^2:Q8)480,862
C15⋊30(C22⋊Q8) = C3×D10⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C15240C15:30(C2^2:Q8)480,689
C15⋊31(C22⋊Q8) = C3×D10⋊2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C15240C15:31(C2^2:Q8)480,690
C15⋊32(C22⋊Q8) = C5×D6⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C15240C15:32(C2^2:Q8)480,775
C15⋊33(C22⋊Q8) = C5×C4.D12φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C15240C15:33(C2^2:Q8)480,776
C15⋊34(C22⋊Q8) = C60.205D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C15240C15:34(C2^2:Q8)480,889
C15⋊35(C22⋊Q8) = C3×C20.48D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C15240C15:35(C2^2:Q8)480,717
C15⋊36(C22⋊Q8) = C5×C12.48D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C15240C15:36(C2^2:Q8)480,803
C15⋊37(C22⋊Q8) = D30⋊7Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C15240C15:37(C2^2:Q8)480,911
C15⋊38(C22⋊Q8) = C3×D10⋊3Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C15240C15:38(C2^2:Q8)480,739
C15⋊39(C22⋊Q8) = C5×D6⋊3Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C15240C15:39(C2^2:Q8)480,825


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