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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
C15×C4⋊D4240C15xC4:D4480,926

Semidirect products G=N:Q with N=C15 and Q=C4⋊D4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C4⋊D4) = Dic15⋊D4φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:1(C4:D4)480,484
C15⋊2(C4⋊D4) = Dic3⋊D20φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:2(C4:D4)480,485
C15⋊3(C4⋊D4) = Dic5⋊D12φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:3(C4:D4)480,492
C15⋊4(C4⋊D4) = D30⋊D4φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:4(C4:D4)480,496
C15⋊5(C4⋊D4) = D10⋊D12φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:5(C4:D4)480,524
C15⋊6(C4⋊D4) = C60⋊D4φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:6(C4:D4)480,525
C15⋊7(C4⋊D4) = C12⋊7D20φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:7(C4:D4)480,526
C15⋊8(C4⋊D4) = Dic15⋊2D4φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:8(C4:D4)480,529
C15⋊9(C4⋊D4) = D6⋊D20φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:9(C4:D4)480,530
C15⋊10(C4⋊D4) = C60⋊4D4φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:10(C4:D4)480,532
C15⋊11(C4⋊D4) = D30⋊2D4φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:11(C4:D4)480,535
C15⋊12(C4⋊D4) = C60⋊6D4φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:12(C4:D4)480,536
C15⋊13(C4⋊D4) = D30⋊12D4φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:13(C4:D4)480,537
C15⋊14(C4⋊D4) = C12⋊2D20φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:14(C4:D4)480,541
C15⋊15(C4⋊D4) = C20⋊2D12φ: C4⋊D4/C2×C4 → C22 ⊆ Aut C15240C15:15(C4:D4)480,542
C15⋊16(C4⋊D4) = D30⋊6D4φ: C4⋊D4/C23 → C22 ⊆ Aut C15240C15:16(C4:D4)480,609
C15⋊17(C4⋊D4) = (C6×D5)⋊D4φ: C4⋊D4/C23 → C22 ⊆ Aut C15240C15:17(C4:D4)480,625
C15⋊18(C4⋊D4) = Dic15⋊3D4φ: C4⋊D4/C23 → C22 ⊆ Aut C15240C15:18(C4:D4)480,626
C15⋊19(C4⋊D4) = D30⋊7D4φ: C4⋊D4/C23 → C22 ⊆ Aut C15240C15:19(C4:D4)480,633
C15⋊20(C4⋊D4) = Dic15⋊4D4φ: C4⋊D4/C23 → C22 ⊆ Aut C15240C15:20(C4:D4)480,634
C15⋊21(C4⋊D4) = (S3×C10)⋊D4φ: C4⋊D4/C23 → C22 ⊆ Aut C15240C15:21(C4:D4)480,641
C15⋊22(C4⋊D4) = (C2×C10)⋊4D12φ: C4⋊D4/C23 → C22 ⊆ Aut C15240C15:22(C4:D4)480,642
C15⋊23(C4⋊D4) = (C2×C6)⋊D20φ: C4⋊D4/C23 → C22 ⊆ Aut C15240C15:23(C4:D4)480,645
C15⋊24(C4⋊D4) = Dic15⋊18D4φ: C4⋊D4/C23 → C22 ⊆ Aut C15240C15:24(C4:D4)480,647
C15⋊25(C4⋊D4) = D30⋊9D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C15240C15:25(C4:D4)480,849
C15⋊26(C4⋊D4) = C3×D10⋊D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C15240C15:26(C4:D4)480,677
C15⋊27(C4⋊D4) = C5×Dic3⋊D4φ: C4⋊D4/C22⋊C4 → C2 ⊆ Aut C15240C15:27(C4:D4)480,763
C15⋊28(C4⋊D4) = C4⋊D60φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C15240C15:28(C4:D4)480,860
C15⋊29(C4⋊D4) = C3×C4⋊D20φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C15240C15:29(C4:D4)480,688
C15⋊30(C4⋊D4) = C5×C12⋊D4φ: C4⋊D4/C4⋊C4 → C2 ⊆ Aut C15240C15:30(C4:D4)480,774
C15⋊31(C4⋊D4) = C60⋊29D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C15240C15:31(C4:D4)480,895
C15⋊32(C4⋊D4) = C3×C20⋊7D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C15240C15:32(C4:D4)480,723
C15⋊33(C4⋊D4) = C5×C12⋊7D4φ: C4⋊D4/C22×C4 → C2 ⊆ Aut C15240C15:33(C4:D4)480,809
C15⋊34(C4⋊D4) = C60⋊2D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C15240C15:34(C4:D4)480,903
C15⋊35(C4⋊D4) = Dic15⋊12D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C15240C15:35(C4:D4)480,904
C15⋊36(C4⋊D4) = C3×C20⋊2D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C15240C15:36(C4:D4)480,731
C15⋊37(C4⋊D4) = C3×Dic5⋊D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C15240C15:37(C4:D4)480,732
C15⋊38(C4⋊D4) = C5×D6⋊3D4φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C15240C15:38(C4:D4)480,817
C15⋊39(C4⋊D4) = C5×C23.14D6φ: C4⋊D4/C2×D4 → C2 ⊆ Aut C15240C15:39(C4:D4)480,818


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