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Extensions 1→N→G→Q→1 with N=C15 and Q=C22.D4

Direct product G=N×Q with N=C15 and Q=C22.D4
dρLabelID
C15×C22.D4240C15xC2^2.D4480,928

Semidirect products G=N:Q with N=C15 and Q=C22.D4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C22.D4) = Dic3⋊C4⋊D5φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:1(C2^2.D4)480,424
C15⋊2(C22.D4) = D6⋊Dic5⋊C2φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:2(C2^2.D4)480,427
C15⋊3(C22.D4) = D30.34D4φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:3(C2^2.D4)480,430
C15⋊4(C22.D4) = D30.35D4φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:4(C2^2.D4)480,431
C15⋊5(C22.D4) = D30.D4φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:5(C2^2.D4)480,432
C15⋊6(C22.D4) = (C6×D5).D4φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:6(C2^2.D4)480,483
C15⋊7(C22.D4) = D10.16D12φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:7(C2^2.D4)480,489
C15⋊8(C22.D4) = D10.17D12φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:8(C2^2.D4)480,490
C15⋊9(C22.D4) = (C2×D12).D5φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:9(C2^2.D4)480,499
C15⋊10(C22.D4) = D6.D20φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:10(C2^2.D4)480,503
C15⋊11(C22.D4) = D30.6D4φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:11(C2^2.D4)480,509
C15⋊12(C22.D4) = D30.7D4φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:12(C2^2.D4)480,514
C15⋊13(C22.D4) = D6⋊C4⋊D5φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:13(C2^2.D4)480,523
C15⋊14(C22.D4) = D10⋊C4⋊S3φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:14(C2^2.D4)480,528
C15⋊15(C22.D4) = D6.9D20φ: C22.D4/C2×C4 → C22 ⊆ Aut C15240C15:15(C2^2.D4)480,533
C15⋊16(C22.D4) = (C2×C30).D4φ: C22.D4/C23 → C22 ⊆ Aut C15240C15:16(C2^2.D4)480,612
C15⋊17(C22.D4) = C6.(C2×D20)φ: C22.D4/C23 → C22 ⊆ Aut C15240C15:17(C2^2.D4)480,613
C15⋊18(C22.D4) = C30.(C2×D4)φ: C22.D4/C23 → C22 ⊆ Aut C15240C15:18(C2^2.D4)480,615
C15⋊19(C22.D4) = C10.(C2×D12)φ: C22.D4/C23 → C22 ⊆ Aut C15240C15:19(C2^2.D4)480,618
C15⋊20(C22.D4) = (C2×C10).D12φ: C22.D4/C23 → C22 ⊆ Aut C15240C15:20(C2^2.D4)480,619
C15⋊21(C22.D4) = C6.D4⋊D5φ: C22.D4/C23 → C22 ⊆ Aut C15240C15:21(C2^2.D4)480,622
C15⋊22(C22.D4) = C23.17(S3×D5)φ: C22.D4/C23 → C22 ⊆ Aut C15240C15:22(C2^2.D4)480,624
C15⋊23(C22.D4) = (S3×C10).D4φ: C22.D4/C23 → C22 ⊆ Aut C15240C15:23(C2^2.D4)480,631
C15⋊24(C22.D4) = D30.16D4φ: C22.D4/C23 → C22 ⊆ Aut C15240C15:24(C2^2.D4)480,638
C15⋊25(C22.D4) = D30.28D4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C15240C15:25(C2^2.D4)480,848
C15⋊26(C22.D4) = C22.D60φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C15240C15:26(C2^2.D4)480,851
C15⋊27(C22.D4) = C3×D10.12D4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C15240C15:27(C2^2.D4)480,676
C15⋊28(C22.D4) = C3×C22.D20φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C15240C15:28(C2^2.D4)480,679
C15⋊29(C22.D4) = C5×C23.9D6φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C15240C15:29(C2^2.D4)480,762
C15⋊30(C22.D4) = C5×C23.21D6φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C15240C15:30(C2^2.D4)480,765
C15⋊31(C22.D4) = D30.29D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C15240C15:31(C2^2.D4)480,859
C15⋊32(C22.D4) = C3×D10.13D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C15240C15:32(C2^2.D4)480,687
C15⋊33(C22.D4) = C5×D6.D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C15240C15:33(C2^2.D4)480,773
C15⋊34(C22.D4) = C23.28D30φ: C22.D4/C22×C4 → C2 ⊆ Aut C15240C15:34(C2^2.D4)480,894
C15⋊35(C22.D4) = C3×C23.23D10φ: C22.D4/C22×C4 → C2 ⊆ Aut C15240C15:35(C2^2.D4)480,722
C15⋊36(C22.D4) = C5×C23.28D6φ: C22.D4/C22×C4 → C2 ⊆ Aut C15240C15:36(C2^2.D4)480,808
C15⋊37(C22.D4) = C23.22D30φ: C22.D4/C2×D4 → C2 ⊆ Aut C15240C15:37(C2^2.D4)480,900
C15⋊38(C22.D4) = C3×C23.18D10φ: C22.D4/C2×D4 → C2 ⊆ Aut C15240C15:38(C2^2.D4)480,728
C15⋊39(C22.D4) = C5×C23.23D6φ: C22.D4/C2×D4 → C2 ⊆ Aut C15240C15:39(C2^2.D4)480,814


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