Extensions 1→N→G→Q→1 with N=Dic5 and Q=C22×C6

Direct product G=N×Q with N=Dic5 and Q=C22×C6
dρLabelID
Dic5×C22×C6480Dic5xC2^2xC6480,1148

Semidirect products G=N:Q with N=Dic5 and Q=C22×C6
extensionφ:Q→Out NdρLabelID
Dic51(C22×C6) = C6×D4×D5φ: C22×C6/C2×C6C2 ⊆ Out Dic5120Dic5:1(C2^2xC6)480,1139
Dic52(C22×C6) = C2×C6×C5⋊D4φ: C22×C6/C2×C6C2 ⊆ Out Dic5240Dic5:2(C2^2xC6)480,1149
Dic53(C22×C6) = D5×C22×C12φ: trivial image240Dic5:3(C2^2xC6)480,1136

Non-split extensions G=N.Q with N=Dic5 and Q=C22×C6
extensionφ:Q→Out NdρLabelID
Dic5.1(C22×C6) = C2×C6×Dic10φ: C22×C6/C2×C6C2 ⊆ Out Dic5480Dic5.1(C2^2xC6)480,1135
Dic5.2(C22×C6) = C6×C4○D20φ: C22×C6/C2×C6C2 ⊆ Out Dic5240Dic5.2(C2^2xC6)480,1138
Dic5.3(C22×C6) = C6×D42D5φ: C22×C6/C2×C6C2 ⊆ Out Dic5240Dic5.3(C2^2xC6)480,1140
Dic5.4(C22×C6) = C3×D46D10φ: C22×C6/C2×C6C2 ⊆ Out Dic51204Dic5.4(C2^2xC6)480,1141
Dic5.5(C22×C6) = C6×Q8×D5φ: C22×C6/C2×C6C2 ⊆ Out Dic5240Dic5.5(C2^2xC6)480,1142
Dic5.6(C22×C6) = C3×Q8.10D10φ: C22×C6/C2×C6C2 ⊆ Out Dic52404Dic5.6(C2^2xC6)480,1144
Dic5.7(C22×C6) = C3×D48D10φ: C22×C6/C2×C6C2 ⊆ Out Dic51204Dic5.7(C2^2xC6)480,1146
Dic5.8(C22×C6) = C3×D4.10D10φ: C22×C6/C2×C6C2 ⊆ Out Dic52404Dic5.8(C2^2xC6)480,1147
Dic5.9(C22×C6) = C6×D5⋊C8φ: C22×C6/C2×C6C2 ⊆ Out Dic5240Dic5.9(C2^2xC6)480,1047
Dic5.10(C22×C6) = C6×C4.F5φ: C22×C6/C2×C6C2 ⊆ Out Dic5240Dic5.10(C2^2xC6)480,1048
Dic5.11(C22×C6) = C3×D5⋊M4(2)φ: C22×C6/C2×C6C2 ⊆ Out Dic51204Dic5.11(C2^2xC6)480,1049
Dic5.12(C22×C6) = C3×D4.F5φ: C22×C6/C2×C6C2 ⊆ Out Dic52408Dic5.12(C2^2xC6)480,1053
Dic5.13(C22×C6) = C3×Q8.F5φ: C22×C6/C2×C6C2 ⊆ Out Dic52408Dic5.13(C2^2xC6)480,1055
Dic5.14(C22×C6) = C2×C6×C5⋊C8φ: C22×C6/C2×C6C2 ⊆ Out Dic5480Dic5.14(C2^2xC6)480,1057
Dic5.15(C22×C6) = C6×C22.F5φ: C22×C6/C2×C6C2 ⊆ Out Dic5240Dic5.15(C2^2xC6)480,1058
Dic5.16(C22×C6) = C6×Q82D5φ: trivial image240Dic5.16(C2^2xC6)480,1143
Dic5.17(C22×C6) = C3×D5×C4○D4φ: trivial image1204Dic5.17(C2^2xC6)480,1145

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