# Extensions 1→N→G→Q→1 with N=C15 and Q=C2×C42

Direct product G=N×Q with N=C15 and Q=C2×C42
dρLabelID
C2×C4×C60480C2xC4xC60480,919

Semidirect products G=N:Q with N=C15 and Q=C2×C42
extensionφ:Q→Aut NdρLabelID
C151(C2×C42) = C4×S3×F5φ: C2×C42/C4C2×C4 ⊆ Aut C15608C15:1(C2xC4^2)480,994
C152(C2×C42) = C2×Dic3×F5φ: C2×C42/C22C2×C4 ⊆ Aut C15120C15:2(C2xC4^2)480,998
C153(C2×C42) = C2×C4×C3⋊F5φ: C2×C42/C2×C4C4 ⊆ Aut C15120C15:3(C2xC4^2)480,1063
C154(C2×C42) = F5×C2×C12φ: C2×C42/C2×C4C4 ⊆ Aut C15120C15:4(C2xC4^2)480,1050
C155(C2×C42) = C4×D5×Dic3φ: C2×C42/C2×C4C22 ⊆ Aut C15240C15:5(C2xC4^2)480,467
C156(C2×C42) = C4×S3×Dic5φ: C2×C42/C2×C4C22 ⊆ Aut C15240C15:6(C2xC4^2)480,473
C157(C2×C42) = C4×D30.C2φ: C2×C42/C2×C4C22 ⊆ Aut C15240C15:7(C2xC4^2)480,477
C158(C2×C42) = C2×Dic3×Dic5φ: C2×C42/C23C22 ⊆ Aut C15480C15:8(C2xC4^2)480,603
C159(C2×C42) = C42×D15φ: C2×C42/C42C2 ⊆ Aut C15240C15:9(C2xC4^2)480,836
C1510(C2×C42) = D5×C4×C12φ: C2×C42/C42C2 ⊆ Aut C15240C15:10(C2xC4^2)480,664
C1511(C2×C42) = S3×C4×C20φ: C2×C42/C42C2 ⊆ Aut C15240C15:11(C2xC4^2)480,750
C1512(C2×C42) = C2×C4×Dic15φ: C2×C42/C22×C4C2 ⊆ Aut C15480C15:12(C2xC4^2)480,887
C1513(C2×C42) = Dic5×C2×C12φ: C2×C42/C22×C4C2 ⊆ Aut C15480C15:13(C2xC4^2)480,715
C1514(C2×C42) = Dic3×C2×C20φ: C2×C42/C22×C4C2 ⊆ Aut C15480C15:14(C2xC4^2)480,801

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