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Extensions 1→N→G→Q→1 with N=C15 and Q=C23:C4

Direct product G=NxQ with N=C15 and Q=C23:C4
dρLabelID
C15xC23:C41204C15xC2^3:C4480,202

Semidirect products G=N:Q with N=C15 and Q=C23:C4
extensionφ:Q→Aut NdρLabelID
C15:1(C23:C4) = D10.D12φ: C23:C4/C22 → C2xC4 ⊆ Aut C151208-C15:1(C2^3:C4)480,248
C15:2(C23:C4) = D10.4D12φ: C23:C4/C22 → C2xC4 ⊆ Aut C151208+C15:2(C2^3:C4)480,249
C15:3(C23:C4) = (C2xC60):C4φ: C23:C4/C2xC4 → C4 ⊆ Aut C151204C15:3(C2^3:C4)480,304
C15:4(C23:C4) = C3xD10.D4φ: C23:C4/C2xC4 → C4 ⊆ Aut C151204C15:4(C2^3:C4)480,279
C15:5(C23:C4) = C3:(C23:F5)φ: C23:C4/C23 → C4 ⊆ Aut C151204C15:5(C2^3:C4)480,316
C15:6(C23:C4) = C3xC23:F5φ: C23:C4/C23 → C4 ⊆ Aut C151204C15:6(C2^3:C4)480,291
C15:7(C23:C4) = (C2xC6).D20φ: C23:C4/C23 → C22 ⊆ Aut C151204C15:7(C2^3:C4)480,71
C15:8(C23:C4) = C15:8(C23:C4)φ: C23:C4/C23 → C22 ⊆ Aut C151204C15:8(C2^3:C4)480,72
C15:9(C23:C4) = C15:9(C23:C4)φ: C23:C4/C23 → C22 ⊆ Aut C151204C15:9(C2^3:C4)480,73
C15:10(C23:C4) = C23.6D30φ: C23:C4/C22:C4 → C2 ⊆ Aut C151204C15:10(C2^3:C4)480,166
C15:11(C23:C4) = C3xC23.1D10φ: C23:C4/C22:C4 → C2 ⊆ Aut C151204C15:11(C2^3:C4)480,84
C15:12(C23:C4) = C5xC23.6D6φ: C23:C4/C22:C4 → C2 ⊆ Aut C151204C15:12(C2^3:C4)480,125
C15:13(C23:C4) = C23.7D30φ: C23:C4/C2xD4 → C2 ⊆ Aut C151204C15:13(C2^3:C4)480,194
C15:14(C23:C4) = C3xC23:Dic5φ: C23:C4/C2xD4 → C2 ⊆ Aut C151204C15:14(C2^3:C4)480,112
C15:15(C23:C4) = C5xC23.7D6φ: C23:C4/C2xD4 → C2 ⊆ Aut C151204C15:15(C2^3:C4)480,153


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