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Extensions 1→N→G→Q→1 with N=C15 and Q=C8⋊C4

Direct product G=N×Q with N=C15 and Q=C8⋊C4
dρLabelID
C15×C8⋊C4480C15xC8:C4480,200

Semidirect products G=N:Q with N=C15 and Q=C8⋊C4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C8⋊C4) = C30.3C42φ: C8⋊C4/C4 → C2×C4 ⊆ Aut C151208C15:1(C8:C4)480,225
C15⋊2(C8⋊C4) = C30.4C42φ: C8⋊C4/C4 → C2×C4 ⊆ Aut C151208C15:2(C8:C4)480,226
C15⋊3(C8⋊C4) = C30.M4(2)φ: C8⋊C4/C22 → C2×C4 ⊆ Aut C15480C15:3(C8:C4)480,245
C15⋊4(C8⋊C4) = C24⋊F5φ: C8⋊C4/C8 → C4 ⊆ Aut C151204C15:4(C8:C4)480,297
C15⋊5(C8⋊C4) = C3×C8⋊F5φ: C8⋊C4/C8 → C4 ⊆ Aut C151204C15:5(C8:C4)480,272
C15⋊6(C8⋊C4) = C30.11C42φ: C8⋊C4/C2×C4 → C4 ⊆ Aut C15480C15:6(C8:C4)480,307
C15⋊7(C8⋊C4) = C3×C10.C42φ: C8⋊C4/C2×C4 → C4 ⊆ Aut C15480C15:7(C8:C4)480,282
C15⋊8(C8⋊C4) = C30.21C42φ: C8⋊C4/C2×C4 → C22 ⊆ Aut C15480C15:8(C8:C4)480,28
C15⋊9(C8⋊C4) = C30.22C42φ: C8⋊C4/C2×C4 → C22 ⊆ Aut C15480C15:9(C8:C4)480,29
C15⋊10(C8⋊C4) = C30.23C42φ: C8⋊C4/C2×C4 → C22 ⊆ Aut C15480C15:10(C8:C4)480,30
C15⋊11(C8⋊C4) = C42.D15φ: C8⋊C4/C42 → C2 ⊆ Aut C15480C15:11(C8:C4)480,163
C15⋊12(C8⋊C4) = C3×C42.D5φ: C8⋊C4/C42 → C2 ⊆ Aut C15480C15:12(C8:C4)480,81
C15⋊13(C8⋊C4) = C5×C42.S3φ: C8⋊C4/C42 → C2 ⊆ Aut C15480C15:13(C8:C4)480,122
C15⋊14(C8⋊C4) = C120⋊13C4φ: C8⋊C4/C2×C8 → C2 ⊆ Aut C15480C15:14(C8:C4)480,175
C15⋊15(C8⋊C4) = C3×C40⋊8C4φ: C8⋊C4/C2×C8 → C2 ⊆ Aut C15480C15:15(C8:C4)480,93
C15⋊16(C8⋊C4) = C5×C24⋊C4φ: C8⋊C4/C2×C8 → C2 ⊆ Aut C15480C15:16(C8:C4)480,134


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