Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C15 and Q=C2×C4○D4

Direct product G=N×Q with N=C15 and Q=C2×C4○D4
dρLabelID
C4○D4×C30240C4oD4xC30480,1183

Semidirect products G=N:Q with N=C15 and Q=C2×C4○D4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C2×C4○D4) = C2×D20⋊5S3φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C15240C15:1(C2xC4oD4)480,1074
C15⋊2(C2×C4○D4) = C2×D20⋊S3φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C15240C15:2(C2xC4oD4)480,1075
C15⋊3(C2×C4○D4) = C2×D12⋊D5φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C15240C15:3(C2xC4oD4)480,1079
C15⋊4(C2×C4○D4) = C2×D60⋊C2φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C15240C15:4(C2xC4oD4)480,1081
C15⋊5(C2×C4○D4) = C2×D6.D10φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C15240C15:5(C2xC4oD4)480,1083
C15⋊6(C2×C4○D4) = C2×D12⋊5D5φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C15240C15:6(C2xC4oD4)480,1084
C15⋊7(C2×C4○D4) = C2×C12.28D10φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C15240C15:7(C2xC4oD4)480,1085
C15⋊8(C2×C4○D4) = D5×C4○D12φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C151204C15:8(C2xC4oD4)480,1090
C15⋊9(C2×C4○D4) = S3×C4○D20φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C151204C15:9(C2xC4oD4)480,1091
C15⋊10(C2×C4○D4) = D20⋊24D6φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C151204C15:10(C2xC4oD4)480,1092
C15⋊11(C2×C4○D4) = D5×D4⋊2S3φ: C2×C4○D4/D4 → C22 ⊆ Aut C151208-C15:11(C2xC4oD4)480,1098
C15⋊12(C2×C4○D4) = S3×D4⋊2D5φ: C2×C4○D4/D4 → C22 ⊆ Aut C151208-C15:12(C2xC4oD4)480,1099
C15⋊13(C2×C4○D4) = D30.C23φ: C2×C4○D4/D4 → C22 ⊆ Aut C151208+C15:13(C2xC4oD4)480,1100
C15⋊14(C2×C4○D4) = D5×Q8⋊3S3φ: C2×C4○D4/Q8 → C22 ⊆ Aut C151208+C15:14(C2xC4oD4)480,1108
C15⋊15(C2×C4○D4) = S3×Q8⋊2D5φ: C2×C4○D4/Q8 → C22 ⊆ Aut C151208+C15:15(C2xC4oD4)480,1109
C15⋊16(C2×C4○D4) = D20⋊16D6φ: C2×C4○D4/Q8 → C22 ⊆ Aut C151208-C15:16(C2xC4oD4)480,1110
C15⋊17(C2×C4○D4) = C2×Dic5.D6φ: C2×C4○D4/C23 → C22 ⊆ Aut C15240C15:17(C2xC4oD4)480,1113
C15⋊18(C2×C4○D4) = C2×C30.C23φ: C2×C4○D4/C23 → C22 ⊆ Aut C15240C15:18(C2xC4oD4)480,1114
C15⋊19(C2×C4○D4) = C2×Dic3.D10φ: C2×C4○D4/C23 → C22 ⊆ Aut C15240C15:19(C2xC4oD4)480,1116
C15⋊20(C2×C4○D4) = C2×D60⋊11C2φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C15240C15:20(C2xC4oD4)480,1168
C15⋊21(C2×C4○D4) = C6×C4○D20φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C15240C15:21(C2xC4oD4)480,1138
C15⋊22(C2×C4○D4) = C10×C4○D12φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C15240C15:22(C2xC4oD4)480,1153
C15⋊23(C2×C4○D4) = C2×D4⋊2D15φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C15240C15:23(C2xC4oD4)480,1170
C15⋊24(C2×C4○D4) = C6×D4⋊2D5φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C15240C15:24(C2xC4oD4)480,1140
C15⋊25(C2×C4○D4) = C10×D4⋊2S3φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C15240C15:25(C2xC4oD4)480,1155
C15⋊26(C2×C4○D4) = C2×Q8⋊3D15φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C15240C15:26(C2xC4oD4)480,1173
C15⋊27(C2×C4○D4) = C6×Q8⋊2D5φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C15240C15:27(C2xC4oD4)480,1143
C15⋊28(C2×C4○D4) = C10×Q8⋊3S3φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C15240C15:28(C2xC4oD4)480,1158
C15⋊29(C2×C4○D4) = C4○D4×D15φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C151204C15:29(C2xC4oD4)480,1175
C15⋊30(C2×C4○D4) = C3×D5×C4○D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C151204C15:30(C2xC4oD4)480,1145
C15⋊31(C2×C4○D4) = C5×S3×C4○D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C151204C15:31(C2xC4oD4)480,1160


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁