# Extensions 1→N→G→Q→1 with N=C15 and Q=C2×C4

Direct product G=N×Q with N=C15 and Q=C2×C4
dρLabelID
C2×C60120C2xC60120,31

Semidirect products G=N:Q with N=C15 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C15⋊(C2×C4) = S3×F5φ: C2×C4/C1C2×C4 ⊆ Aut C15158+C15:(C2xC4)120,36
C152(C2×C4) = C2×C3⋊F5φ: C2×C4/C2C4 ⊆ Aut C15304C15:2(C2xC4)120,41
C153(C2×C4) = C6×F5φ: C2×C4/C2C4 ⊆ Aut C15304C15:3(C2xC4)120,40
C154(C2×C4) = D5×Dic3φ: C2×C4/C2C22 ⊆ Aut C15604-C15:4(C2xC4)120,8
C155(C2×C4) = S3×Dic5φ: C2×C4/C2C22 ⊆ Aut C15604-C15:5(C2xC4)120,9
C156(C2×C4) = D30.C2φ: C2×C4/C2C22 ⊆ Aut C15604+C15:6(C2xC4)120,10
C157(C2×C4) = C4×D15φ: C2×C4/C4C2 ⊆ Aut C15602C15:7(C2xC4)120,27
C158(C2×C4) = D5×C12φ: C2×C4/C4C2 ⊆ Aut C15602C15:8(C2xC4)120,17
C159(C2×C4) = S3×C20φ: C2×C4/C4C2 ⊆ Aut C15602C15:9(C2xC4)120,22
C1510(C2×C4) = C2×Dic15φ: C2×C4/C22C2 ⊆ Aut C15120C15:10(C2xC4)120,29
C1511(C2×C4) = C6×Dic5φ: C2×C4/C22C2 ⊆ Aut C15120C15:11(C2xC4)120,19
C1512(C2×C4) = C10×Dic3φ: C2×C4/C22C2 ⊆ Aut C15120C15:12(C2xC4)120,24

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