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Extensions 1→N→G→Q→1 with N=C15 and Q=C2×C4⋊C4

Direct product G=N×Q with N=C15 and Q=C2×C4⋊C4
dρLabelID
C4⋊C4×C30480C4:C4xC30480,921

Semidirect products G=N:Q with N=C15 and Q=C2×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C2×C4⋊C4) = S3×C4⋊F5φ: C2×C4⋊C4/C4 → C2×C4 ⊆ Aut C15608C15:1(C2xC4:C4)480,996
C15⋊2(C2×C4⋊C4) = C2×Dic3⋊F5φ: C2×C4⋊C4/C22 → C2×C4 ⊆ Aut C15120C15:2(C2xC4:C4)480,1001
C15⋊3(C2×C4⋊C4) = C2×C60⋊C4φ: C2×C4⋊C4/C2×C4 → C4 ⊆ Aut C15120C15:3(C2xC4:C4)480,1064
C15⋊4(C2×C4⋊C4) = C6×C4⋊F5φ: C2×C4⋊C4/C2×C4 → C4 ⊆ Aut C15120C15:4(C2xC4:C4)480,1051
C15⋊5(C2×C4⋊C4) = D5×Dic3⋊C4φ: C2×C4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:5(C2xC4:C4)480,468
C15⋊6(C2×C4⋊C4) = S3×C10.D4φ: C2×C4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:6(C2xC4:C4)480,475
C15⋊7(C2×C4⋊C4) = D30.Q8φ: C2×C4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:7(C2xC4:C4)480,480
C15⋊8(C2×C4⋊C4) = D5×C4⋊Dic3φ: C2×C4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:8(C2xC4:C4)480,488
C15⋊9(C2×C4⋊C4) = S3×C4⋊Dic5φ: C2×C4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:9(C2xC4:C4)480,502
C15⋊10(C2×C4⋊C4) = D30.2Q8φ: C2×C4⋊C4/C2×C4 → C22 ⊆ Aut C15240C15:10(C2xC4:C4)480,513
C15⋊11(C2×C4⋊C4) = C2×C30.Q8φ: C2×C4⋊C4/C23 → C22 ⊆ Aut C15480C15:11(C2xC4:C4)480,617
C15⋊12(C2×C4⋊C4) = C2×Dic15⋊5C4φ: C2×C4⋊C4/C23 → C22 ⊆ Aut C15480C15:12(C2xC4:C4)480,620
C15⋊13(C2×C4⋊C4) = C2×C6.Dic10φ: C2×C4⋊C4/C23 → C22 ⊆ Aut C15480C15:13(C2xC4:C4)480,621
C15⋊14(C2×C4⋊C4) = C4⋊C4×D15φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C15240C15:14(C2xC4:C4)480,856
C15⋊15(C2×C4⋊C4) = C3×D5×C4⋊C4φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C15240C15:15(C2xC4:C4)480,684
C15⋊16(C2×C4⋊C4) = C5×S3×C4⋊C4φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C15240C15:16(C2xC4:C4)480,770
C15⋊17(C2×C4⋊C4) = C2×C30.4Q8φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C15480C15:17(C2xC4:C4)480,888
C15⋊18(C2×C4⋊C4) = C2×C60⋊5C4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C15480C15:18(C2xC4:C4)480,890
C15⋊19(C2×C4⋊C4) = C6×C10.D4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C15480C15:19(C2xC4:C4)480,716
C15⋊20(C2×C4⋊C4) = C6×C4⋊Dic5φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C15480C15:20(C2xC4:C4)480,718
C15⋊21(C2×C4⋊C4) = C10×Dic3⋊C4φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C15480C15:21(C2xC4:C4)480,802
C15⋊22(C2×C4⋊C4) = C10×C4⋊Dic3φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C15480C15:22(C2xC4:C4)480,804


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