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

Extensions 1→N→G→Q→1 with N=C10 and Q=D6⋊C4

Direct product G=N×Q with N=C10 and Q=D6⋊C4
dρLabelID
C10×D6⋊C4240C10xD6:C4480,806

Semidirect products G=N:Q with N=C10 and Q=D6⋊C4
extensionφ:Q→Aut NdρLabelID
C10⋊(D6⋊C4) = C2×D6⋊F5φ: D6⋊C4/D6 → C4 ⊆ Aut C10120C10:(D6:C4)480,1000
C10⋊2(D6⋊C4) = C2×D30⋊4C4φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C10240C10:2(D6:C4)480,616
C10⋊3(D6⋊C4) = C2×D30⋊3C4φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C10240C10:3(D6:C4)480,892
C10⋊4(D6⋊C4) = C2×D6⋊Dic5φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C10240C10:4(D6:C4)480,614

Non-split extensions G=N.Q with N=C10 and Q=D6⋊C4
extensionφ:Q→Aut NdρLabelID
C10.1(D6⋊C4) = D60⋊C4φ: D6⋊C4/D6 → C4 ⊆ Aut C101208+C10.1(D6:C4)480,227
C10.2(D6⋊C4) = D12⋊F5φ: D6⋊C4/D6 → C4 ⊆ Aut C101208+C10.2(D6:C4)480,228
C10.3(D6⋊C4) = Dic6⋊F5φ: D6⋊C4/D6 → C4 ⊆ Aut C101208-C10.3(D6:C4)480,229
C10.4(D6⋊C4) = Dic30⋊C4φ: D6⋊C4/D6 → C4 ⊆ Aut C101208-C10.4(D6:C4)480,230
C10.5(D6⋊C4) = D12⋊4F5φ: D6⋊C4/D6 → C4 ⊆ Aut C101208-C10.5(D6:C4)480,231
C10.6(D6⋊C4) = D12⋊2F5φ: D6⋊C4/D6 → C4 ⊆ Aut C101208-C10.6(D6:C4)480,232
C10.7(D6⋊C4) = D60⋊2C4φ: D6⋊C4/D6 → C4 ⊆ Aut C101208+C10.7(D6:C4)480,233
C10.8(D6⋊C4) = D60⋊5C4φ: D6⋊C4/D6 → C4 ⊆ Aut C101208+C10.8(D6:C4)480,234
C10.9(D6⋊C4) = D10.20D12φ: D6⋊C4/D6 → C4 ⊆ Aut C10120C10.9(D6:C4)480,243
C10.10(D6⋊C4) = Dic5.22D12φ: D6⋊C4/D6 → C4 ⊆ Aut C10240C10.10(D6:C4)480,246
C10.11(D6⋊C4) = D30⋊C8φ: D6⋊C4/D6 → C4 ⊆ Aut C10240C10.11(D6:C4)480,247
C10.12(D6⋊C4) = D10.D12φ: D6⋊C4/D6 → C4 ⊆ Aut C101208-C10.12(D6:C4)480,248
C10.13(D6⋊C4) = D10.4D12φ: D6⋊C4/D6 → C4 ⊆ Aut C101208+C10.13(D6:C4)480,249
C10.14(D6⋊C4) = Dic5.D12φ: D6⋊C4/D6 → C4 ⊆ Aut C101208+C10.14(D6:C4)480,250
C10.15(D6⋊C4) = Dic5.4D12φ: D6⋊C4/D6 → C4 ⊆ Aut C102408-C10.15(D6:C4)480,251
C10.16(D6⋊C4) = D30⋊4C8φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C10240C10.16(D6:C4)480,33
C10.17(D6⋊C4) = C60.29D4φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C101204+C10.17(D6:C4)480,36
C10.18(D6⋊C4) = C60.31D4φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C102404-C10.18(D6:C4)480,39
C10.19(D6⋊C4) = D60⋊12C4φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C10240C10.19(D6:C4)480,44
C10.20(D6⋊C4) = D60⋊15C4φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C10240C10.20(D6:C4)480,45
C10.21(D6⋊C4) = Dic30⋊12C4φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C10480C10.21(D6:C4)480,50
C10.22(D6⋊C4) = Dic30⋊15C4φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C10480C10.22(D6:C4)480,51
C10.23(D6⋊C4) = D60⋊13C4φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C101204C10.23(D6:C4)480,56
C10.24(D6⋊C4) = D60⋊16C4φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C101204C10.24(D6:C4)480,57
C10.25(D6⋊C4) = C30.24C42φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C10480C10.25(D6:C4)480,70
C10.26(D6⋊C4) = C15⋊9(C23⋊C4)φ: D6⋊C4/C2×Dic3 → C2 ⊆ Aut C101204C10.26(D6:C4)480,73
C10.27(D6⋊C4) = D60⋊7C4φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C101202C10.27(D6:C4)480,165
C10.28(D6⋊C4) = C23.6D30φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C101204C10.28(D6:C4)480,166
C10.29(D6⋊C4) = D60⋊9C4φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C10240C10.29(D6:C4)480,169
C10.30(D6⋊C4) = Dic30⋊9C4φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C10480C10.30(D6:C4)480,170
C10.31(D6⋊C4) = Dic30⋊8C4φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C10480C10.31(D6:C4)480,176
C10.32(D6⋊C4) = D30⋊3C8φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C10240C10.32(D6:C4)480,180
C10.33(D6⋊C4) = D60⋊8C4φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C10240C10.33(D6:C4)480,181
C10.34(D6⋊C4) = M4(2)⋊D15φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C101204+C10.34(D6:C4)480,183
C10.35(D6⋊C4) = C4.D60φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C102404-C10.35(D6:C4)480,184
C10.36(D6⋊C4) = D60⋊10C4φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C101204C10.36(D6:C4)480,185
C10.37(D6⋊C4) = C30.29C42φ: D6⋊C4/C2×C12 → C2 ⊆ Aut C10480C10.37(D6:C4)480,191
C10.38(D6⋊C4) = C60.94D4φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C10240C10.38(D6:C4)480,32
C10.39(D6⋊C4) = C20.5D12φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C101204C10.39(D6:C4)480,35
C10.40(D6⋊C4) = C60.54D4φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C102404C10.40(D6:C4)480,38
C10.41(D6⋊C4) = D12⋊Dic5φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C10240C10.41(D6:C4)480,42
C10.42(D6⋊C4) = C10.D24φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C10240C10.42(D6:C4)480,43
C10.43(D6⋊C4) = Dic6⋊Dic5φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C10480C10.43(D6:C4)480,48
C10.44(D6⋊C4) = C10.Dic12φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C10480C10.44(D6:C4)480,49
C10.45(D6⋊C4) = C60.98D4φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C101204C10.45(D6:C4)480,54
C10.46(D6⋊C4) = C60.99D4φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C101204C10.46(D6:C4)480,55
C10.47(D6⋊C4) = C15⋊8(C23⋊C4)φ: D6⋊C4/C22×S3 → C2 ⊆ Aut C101204C10.47(D6:C4)480,72
C10.48(D6⋊C4) = C5×C42⋊4S3central extension (φ=1)1202C10.48(D6:C4)480,124
C10.49(D6⋊C4) = C5×C23.6D6central extension (φ=1)1204C10.49(D6:C4)480,125
C10.50(D6⋊C4) = C5×C6.D8central extension (φ=1)240C10.50(D6:C4)480,128
C10.51(D6⋊C4) = C5×C6.SD16central extension (φ=1)480C10.51(D6:C4)480,129
C10.52(D6⋊C4) = C5×C2.Dic12central extension (φ=1)480C10.52(D6:C4)480,135
C10.53(D6⋊C4) = C5×D6⋊C8central extension (φ=1)240C10.53(D6:C4)480,139
C10.54(D6⋊C4) = C5×C2.D24central extension (φ=1)240C10.54(D6:C4)480,140
C10.55(D6⋊C4) = C5×C12.46D4central extension (φ=1)1204C10.55(D6:C4)480,142
C10.56(D6⋊C4) = C5×C12.47D4central extension (φ=1)2404C10.56(D6:C4)480,143
C10.57(D6⋊C4) = C5×D12⋊C4central extension (φ=1)1204C10.57(D6:C4)480,144
C10.58(D6⋊C4) = C5×C6.C42central extension (φ=1)480C10.58(D6:C4)480,150

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁