# Extensions 1→N→G→Q→1 with N=C15 and Q=C2×C12

Direct product G=N×Q with N=C15 and Q=C2×C12
dρLabelID
C6×C60360C6xC60360,115

Semidirect products G=N:Q with N=C15 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C15⋊(C2×C12) = C3×S3×F5φ: C2×C12/C3C2×C4 ⊆ Aut C15308C15:(C2xC12)360,126
C152(C2×C12) = C6×C3⋊F5φ: C2×C12/C6C4 ⊆ Aut C15604C15:2(C2xC12)360,146
C153(C2×C12) = C3×C6×F5φ: C2×C12/C6C4 ⊆ Aut C1590C15:3(C2xC12)360,145
C154(C2×C12) = C3×D5×Dic3φ: C2×C12/C6C22 ⊆ Aut C15604C15:4(C2xC12)360,58
C155(C2×C12) = C3×S3×Dic5φ: C2×C12/C6C22 ⊆ Aut C151204C15:5(C2xC12)360,59
C156(C2×C12) = C3×D30.C2φ: C2×C12/C6C22 ⊆ Aut C151204C15:6(C2xC12)360,60
C157(C2×C12) = C12×D15φ: C2×C12/C12C2 ⊆ Aut C151202C15:7(C2xC12)360,101
C158(C2×C12) = D5×C3×C12φ: C2×C12/C12C2 ⊆ Aut C15180C15:8(C2xC12)360,91
C159(C2×C12) = S3×C60φ: C2×C12/C12C2 ⊆ Aut C151202C15:9(C2xC12)360,96
C1510(C2×C12) = C6×Dic15φ: C2×C12/C2×C6C2 ⊆ Aut C15120C15:10(C2xC12)360,103
C1511(C2×C12) = C3×C6×Dic5φ: C2×C12/C2×C6C2 ⊆ Aut C15360C15:11(C2xC12)360,93
C1512(C2×C12) = Dic3×C30φ: C2×C12/C2×C6C2 ⊆ Aut C15120C15:12(C2xC12)360,98

Non-split extensions G=N.Q with N=C15 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C15.(C2×C12) = C18×F5φ: C2×C12/C6C4 ⊆ Aut C15904C15.(C2xC12)360,43
C15.2(C2×C12) = D5×C36φ: C2×C12/C12C2 ⊆ Aut C151802C15.2(C2xC12)360,16
C15.3(C2×C12) = C18×Dic5φ: C2×C12/C2×C6C2 ⊆ Aut C15360C15.3(C2xC12)360,18

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