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Extensions 1→N→G→Q→1 with N=D10 and Q=C2×C6

Direct product G=N×Q with N=D10 and Q=C2×C6
dρLabelID
D5×C22×C6120D5xC2^2xC6240,205

Semidirect products G=N:Q with N=D10 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
D10⋊1(C2×C6) = C6×D20φ: C2×C6/C6 → C2 ⊆ Out D10120D10:1(C2xC6)240,157
D10⋊2(C2×C6) = C3×D4×D5φ: C2×C6/C6 → C2 ⊆ Out D10604D10:2(C2xC6)240,159
D10⋊3(C2×C6) = C6×C5⋊D4φ: C2×C6/C6 → C2 ⊆ Out D10120D10:3(C2xC6)240,164

Non-split extensions G=N.Q with N=D10 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
D10.1(C2×C6) = C3×C4○D20φ: C2×C6/C6 → C2 ⊆ Out D101202D10.1(C2xC6)240,158
D10.2(C2×C6) = C3×D4⋊2D5φ: C2×C6/C6 → C2 ⊆ Out D101204D10.2(C2xC6)240,160
D10.3(C2×C6) = C3×Q8⋊2D5φ: C2×C6/C6 → C2 ⊆ Out D101204D10.3(C2xC6)240,162
D10.4(C2×C6) = C12×F5φ: C2×C6/C6 → C2 ⊆ Out D10604D10.4(C2xC6)240,113
D10.5(C2×C6) = C3×C4⋊F5φ: C2×C6/C6 → C2 ⊆ Out D10604D10.5(C2xC6)240,114
D10.6(C2×C6) = C3×C22⋊F5φ: C2×C6/C6 → C2 ⊆ Out D10604D10.6(C2xC6)240,117
D10.7(C2×C6) = C2×C6×F5φ: C2×C6/C6 → C2 ⊆ Out D1060D10.7(C2xC6)240,200
D10.8(C2×C6) = D5×C2×C12φ: trivial image120D10.8(C2xC6)240,156
D10.9(C2×C6) = C3×Q8×D5φ: trivial image1204D10.9(C2xC6)240,161

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