Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2×C6

Direct product G=N×Q with N=Dic5 and Q=C2×C6
dρLabelID
C2×C6×Dic5240C2xC6xDic5240,163

Semidirect products G=N:Q with N=Dic5 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Dic5⋊1(C2×C6) = C3×D4×D5φ: C2×C6/C6 → C2 ⊆ Out Dic5604Dic5:1(C2xC6)240,159
Dic5⋊2(C2×C6) = C6×C5⋊D4φ: C2×C6/C6 → C2 ⊆ Out Dic5120Dic5:2(C2xC6)240,164
Dic5⋊3(C2×C6) = D5×C2×C12φ: trivial image120Dic5:3(C2xC6)240,156

Non-split extensions G=N.Q with N=Dic5 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Dic5.1(C2×C6) = C6×Dic10φ: C2×C6/C6 → C2 ⊆ Out Dic5240Dic5.1(C2xC6)240,155
Dic5.2(C2×C6) = C3×C4○D20φ: C2×C6/C6 → C2 ⊆ Out Dic51202Dic5.2(C2xC6)240,158
Dic5.3(C2×C6) = C3×D4⋊2D5φ: C2×C6/C6 → C2 ⊆ Out Dic51204Dic5.3(C2xC6)240,160
Dic5.4(C2×C6) = C3×Q8×D5φ: C2×C6/C6 → C2 ⊆ Out Dic51204Dic5.4(C2xC6)240,161
Dic5.5(C2×C6) = C3×D5⋊C8φ: C2×C6/C6 → C2 ⊆ Out Dic51204Dic5.5(C2xC6)240,111
Dic5.6(C2×C6) = C3×C4.F5φ: C2×C6/C6 → C2 ⊆ Out Dic51204Dic5.6(C2xC6)240,112
Dic5.7(C2×C6) = C6×C5⋊C8φ: C2×C6/C6 → C2 ⊆ Out Dic5240Dic5.7(C2xC6)240,115
Dic5.8(C2×C6) = C3×C22.F5φ: C2×C6/C6 → C2 ⊆ Out Dic51204Dic5.8(C2xC6)240,116
Dic5.9(C2×C6) = C3×Q8⋊2D5φ: trivial image1204Dic5.9(C2xC6)240,162

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