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Extensions 1→N→G→Q→1 with N=C15 and Q=C4.10D4

Direct product G=N×Q with N=C15 and Q=C4.10D4
dρLabelID
C15×C4.10D42404C15xC4.10D4480,204

Semidirect products G=N:Q with N=C15 and Q=C4.10D4
extensionφ:Q→Aut NdρLabelID
C15⋊(C4.10D4) = Dic5.4D12φ: C4.10D4/C22 → C2×C4 ⊆ Aut C152408-C15:(C4.10D4)480,251
C15⋊2(C4.10D4) = (C2×C60).C4φ: C4.10D4/C2×C4 → C4 ⊆ Aut C152404C15:2(C4.10D4)480,310
C15⋊3(C4.10D4) = C3×Dic5.D4φ: C4.10D4/C2×C4 → C4 ⊆ Aut C152404C15:3(C4.10D4)480,285
C15⋊4(C4.10D4) = C12.6D20φ: C4.10D4/C2×C4 → C22 ⊆ Aut C152404C15:4(C4.10D4)480,37
C15⋊5(C4.10D4) = C60.54D4φ: C4.10D4/C2×C4 → C22 ⊆ Aut C152404C15:5(C4.10D4)480,38
C15⋊6(C4.10D4) = C60.31D4φ: C4.10D4/C2×C4 → C22 ⊆ Aut C152404-C15:6(C4.10D4)480,39
C15⋊7(C4.10D4) = C4.D60φ: C4.10D4/M4(2) → C2 ⊆ Aut C152404-C15:7(C4.10D4)480,184
C15⋊8(C4.10D4) = C3×C4.12D20φ: C4.10D4/M4(2) → C2 ⊆ Aut C152404C15:8(C4.10D4)480,102
C15⋊9(C4.10D4) = C5×C12.47D4φ: C4.10D4/M4(2) → C2 ⊆ Aut C152404C15:9(C4.10D4)480,143
C15⋊10(C4.10D4) = C60.10D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C152404C15:10(C4.10D4)480,196
C15⋊11(C4.10D4) = C3×C20.10D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C152404C15:11(C4.10D4)480,114
C15⋊12(C4.10D4) = C5×C12.10D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C152404C15:12(C4.10D4)480,155


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