Extensions 1→N→G→Q→1 with N=C15 and Q=C2×Dic3

Direct product G=N×Q with N=C15 and Q=C2×Dic3
dρLabelID
Dic3×C30120Dic3xC30360,98

Semidirect products G=N:Q with N=C15 and Q=C2×Dic3
extensionφ:Q→Aut NdρLabelID
C15⋊(C2×Dic3) = S3×C3⋊F5φ: C2×Dic3/C3 → C2×C4 ⊆ Aut C15308C15:(C2xDic3)360,128
C15⋊2(C2×Dic3) = C2×C32⋊3F5φ: C2×Dic3/C6 → C4 ⊆ Aut C1590C15:2(C2xDic3)360,147
C15⋊3(C2×Dic3) = C6×C3⋊F5φ: C2×Dic3/C6 → C4 ⊆ Aut C15604C15:3(C2xDic3)360,146
C15⋊4(C2×Dic3) = D5×C3⋊Dic3φ: C2×Dic3/C6 → C22 ⊆ Aut C15180C15:4(C2xDic3)360,65
C15⋊5(C2×Dic3) = S3×Dic15φ: C2×Dic3/C6 → C22 ⊆ Aut C151204-C15:5(C2xDic3)360,78
C15⋊6(C2×Dic3) = D30.S3φ: C2×Dic3/C6 → C22 ⊆ Aut C151204C15:6(C2xDic3)360,84
C15⋊7(C2×Dic3) = Dic3×D15φ: C2×Dic3/Dic3 → C2 ⊆ Aut C151204-C15:7(C2xDic3)360,77
C15⋊8(C2×Dic3) = C3×D5×Dic3φ: C2×Dic3/Dic3 → C2 ⊆ Aut C15604C15:8(C2xDic3)360,58
C15⋊9(C2×Dic3) = C5×S3×Dic3φ: C2×Dic3/Dic3 → C2 ⊆ Aut C151204C15:9(C2xDic3)360,72
C15⋊10(C2×Dic3) = C2×C3⋊Dic15φ: C2×Dic3/C2×C6 → C2 ⊆ Aut C15360C15:10(C2xDic3)360,113
C15⋊11(C2×Dic3) = C6×Dic15φ: C2×Dic3/C2×C6 → C2 ⊆ Aut C15120C15:11(C2xDic3)360,103
C15⋊12(C2×Dic3) = C10×C3⋊Dic3φ: C2×Dic3/C2×C6 → C2 ⊆ Aut C15360C15:12(C2xDic3)360,108

Non-split extensions G=N.Q with N=C15 and Q=C2×Dic3
extensionφ:Q→Aut NdρLabelID
C15.1(C2×Dic3) = C2×C9⋊F5φ: C2×Dic3/C6 → C4 ⊆ Aut C15904C15.1(C2xDic3)360,44
C15.2(C2×Dic3) = D5×Dic9φ: C2×Dic3/C6 → C22 ⊆ Aut C151804-C15.2(C2xDic3)360,11
C15.3(C2×Dic3) = C2×Dic45φ: C2×Dic3/C2×C6 → C2 ⊆ Aut C15360C15.3(C2xDic3)360,28
C15.4(C2×Dic3) = C10×Dic9φ: C2×Dic3/C2×C6 → C2 ⊆ Aut C15360C15.4(C2xDic3)360,23

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