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Extensions 1→N→G→Q→1 with N=C15 and Q=C42⋊2C2

Direct product G=N×Q with N=C15 and Q=C42⋊2C2
dρLabelID
C15×C42⋊2C2240C15xC4^2:2C2480,931

Semidirect products G=N:Q with N=C15 and Q=C42⋊2C2
extensionφ:Q→Aut NdρLabelID
C15⋊1(C42⋊2C2) = C4⋊Dic3⋊D5φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:1(C4^2:2C2)480,413
C15⋊2(C42⋊2C2) = D6⋊C4.D5φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:2(C4^2:2C2)480,417
C15⋊3(C42⋊2C2) = C60⋊5C4⋊C2φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:3(C4^2:2C2)480,418
C15⋊4(C42⋊2C2) = C4⋊Dic5⋊S3φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:4(C4^2:2C2)480,421
C15⋊5(C42⋊2C2) = (C2×C12).D10φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:5(C4^2:2C2)480,437
C15⋊6(C42⋊2C2) = (C2×C60).C22φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:6(C4^2:2C2)480,438
C15⋊7(C42⋊2C2) = (C4×Dic3)⋊D5φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:7(C4^2:2C2)480,439
C15⋊8(C42⋊2C2) = (C4×Dic15)⋊C2φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:8(C4^2:2C2)480,442
C15⋊9(C42⋊2C2) = D6⋊Dic5.C2φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:9(C4^2:2C2)480,443
C15⋊10(C42⋊2C2) = C5⋊(C42⋊3S3)φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:10(C4^2:2C2)480,448
C15⋊11(C42⋊2C2) = C10.D4⋊S3φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:11(C4^2:2C2)480,456
C15⋊12(C42⋊2C2) = (C4×Dic5)⋊S3φ: C42⋊2C2/C2×C4 → C22 ⊆ Aut C15240C15:12(C4^2:2C2)480,463
C15⋊13(C42⋊2C2) = C23.13(S3×D5)φ: C42⋊2C2/C23 → C22 ⊆ Aut C15240C15:13(C4^2:2C2)480,606
C15⋊14(C42⋊2C2) = C23.14(S3×D5)φ: C42⋊2C2/C23 → C22 ⊆ Aut C15240C15:14(C4^2:2C2)480,607
C15⋊15(C42⋊2C2) = C42⋊3D15φ: C42⋊2C2/C42 → C2 ⊆ Aut C15240C15:15(C4^2:2C2)480,841
C15⋊16(C42⋊2C2) = C3×C42⋊2D5φ: C42⋊2C2/C42 → C2 ⊆ Aut C15240C15:16(C4^2:2C2)480,669
C15⋊17(C42⋊2C2) = C5×C42⋊3S3φ: C42⋊2C2/C42 → C2 ⊆ Aut C15240C15:17(C4^2:2C2)480,755
C15⋊18(C42⋊2C2) = C23.8D30φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C15240C15:18(C4^2:2C2)480,844
C15⋊19(C42⋊2C2) = C3×C23.D10φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C15240C15:19(C4^2:2C2)480,672
C15⋊20(C42⋊2C2) = C5×C23.8D6φ: C42⋊2C2/C22⋊C4 → C2 ⊆ Aut C15240C15:20(C4^2:2C2)480,758
C15⋊21(C42⋊2C2) = C4⋊C4⋊D15φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C15240C15:21(C4^2:2C2)480,863
C15⋊22(C42⋊2C2) = C3×C4⋊C4⋊D5φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C15240C15:22(C4^2:2C2)480,691
C15⋊23(C42⋊2C2) = C5×C4⋊C4⋊S3φ: C42⋊2C2/C4⋊C4 → C2 ⊆ Aut C15240C15:23(C4^2:2C2)480,777


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