Extensions 1→N→G→Q→1 with N=D10 and Q=C2xC6

Direct product G=NxQ with N=D10 and Q=C2xC6
dρLabelID
D5xC22xC6120D5xC2^2xC6240,205

Semidirect products G=N:Q with N=D10 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
D10:1(C2xC6) = C6xD20φ: C2xC6/C6C2 ⊆ Out D10120D10:1(C2xC6)240,157
D10:2(C2xC6) = C3xD4xD5φ: C2xC6/C6C2 ⊆ Out D10604D10:2(C2xC6)240,159
D10:3(C2xC6) = C6xC5:D4φ: C2xC6/C6C2 ⊆ Out D10120D10:3(C2xC6)240,164

Non-split extensions G=N.Q with N=D10 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
D10.1(C2xC6) = C3xC4oD20φ: C2xC6/C6C2 ⊆ Out D101202D10.1(C2xC6)240,158
D10.2(C2xC6) = C3xD4:2D5φ: C2xC6/C6C2 ⊆ Out D101204D10.2(C2xC6)240,160
D10.3(C2xC6) = C3xQ8:2D5φ: C2xC6/C6C2 ⊆ Out D101204D10.3(C2xC6)240,162
D10.4(C2xC6) = C12xF5φ: C2xC6/C6C2 ⊆ Out D10604D10.4(C2xC6)240,113
D10.5(C2xC6) = C3xC4:F5φ: C2xC6/C6C2 ⊆ Out D10604D10.5(C2xC6)240,114
D10.6(C2xC6) = C3xC22:F5φ: C2xC6/C6C2 ⊆ Out D10604D10.6(C2xC6)240,117
D10.7(C2xC6) = C2xC6xF5φ: C2xC6/C6C2 ⊆ Out D1060D10.7(C2xC6)240,200
D10.8(C2xC6) = D5xC2xC12φ: trivial image120D10.8(C2xC6)240,156
D10.9(C2xC6) = C3xQ8xD5φ: trivial image1204D10.9(C2xC6)240,161

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