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Extensions 1→N→G→Q→1 with N=C15 and Q=C4⋊1D4

Direct product G=N×Q with N=C15 and Q=C4⋊1D4
dρLabelID
C15×C4⋊1D4240C15xC4:1D4480,932

Semidirect products G=N:Q with N=C15 and Q=C4⋊1D4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C4⋊1D4) = C20⋊D12φ: C4⋊1D4/C2×C4 → C22 ⊆ Aut C15240C15:1(C4:1D4)480,527
C15⋊2(C4⋊1D4) = C12⋊D20φ: C4⋊1D4/C2×C4 → C22 ⊆ Aut C15240C15:2(C4:1D4)480,534
C15⋊3(C4⋊1D4) = C60⋊10D4φ: C4⋊1D4/C2×C4 → C22 ⊆ Aut C15240C15:3(C4:1D4)480,539
C15⋊4(C4⋊1D4) = Dic15⋊5D4φ: C4⋊1D4/C23 → C22 ⊆ Aut C15240C15:4(C4:1D4)480,643
C15⋊5(C4⋊1D4) = C42⋊6D15φ: C4⋊1D4/C42 → C2 ⊆ Aut C15240C15:5(C4:1D4)480,839
C15⋊6(C4⋊1D4) = C3×C20⋊4D4φ: C4⋊1D4/C42 → C2 ⊆ Aut C15240C15:6(C4:1D4)480,667
C15⋊7(C4⋊1D4) = C5×C4⋊D12φ: C4⋊1D4/C42 → C2 ⊆ Aut C15240C15:7(C4:1D4)480,753
C15⋊8(C4⋊1D4) = C60⋊3D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C15240C15:8(C4:1D4)480,905
C15⋊9(C4⋊1D4) = C3×C20⋊D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C15240C15:9(C4:1D4)480,733
C15⋊10(C4⋊1D4) = C5×C12⋊3D4φ: C4⋊1D4/C2×D4 → C2 ⊆ Aut C15240C15:10(C4:1D4)480,819


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