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

Extensions 1→N→G→Q→1 with N=C32 and Q=C32⋊C6

Direct product G=N×Q with N=C32 and Q=C32⋊C6
dρLabelID
C32×C32⋊C654C3^2xC3^2:C6486,222

Semidirect products G=N:Q with N=C32 and Q=C32⋊C6
extensionφ:Q→Aut NdρLabelID
C32⋊1(C32⋊C6) = C34⋊S3φ: C32⋊C6/C32 → S3 ⊆ Aut C3227C3^2:1(C3^2:C6)486,103
C32⋊2(C32⋊C6) = C34⋊3S3φ: C32⋊C6/C32 → S3 ⊆ Aut C32186C3^2:2(C3^2:C6)486,145
C32⋊3(C32⋊C6) = C34⋊4C6φ: C32⋊C6/C32 → C6 ⊆ Aut C3227C3^2:3(C3^2:C6)486,146
C32⋊4(C32⋊C6) = C34⋊C6φ: C32⋊C6/C3⋊S3 → C3 ⊆ Aut C32186C3^2:4(C3^2:C6)486,102
C32⋊5(C32⋊C6) = C3×He3⋊4S3φ: C32⋊C6/He3 → C2 ⊆ Aut C3254C3^2:5(C3^2:C6)486,229
C32⋊6(C32⋊C6) = C34⋊10C6φ: C32⋊C6/He3 → C2 ⊆ Aut C3281C3^2:6(C3^2:C6)486,242

Non-split extensions G=N.Q with N=C32 and Q=C32⋊C6
extensionφ:Q→Aut NdρLabelID
C32.1(C32⋊C6) = C92⋊S3φ: C32⋊C6/C32 → S3 ⊆ Aut C32276+C3^2.1(C3^2:C6)486,36
C32.2(C32⋊C6) = C92.S3φ: C32⋊C6/C32 → S3 ⊆ Aut C32276+C3^2.2(C3^2:C6)486,38
C32.3(C32⋊C6) = C9⋊C9.S3φ: C32⋊C6/C32 → S3 ⊆ Aut C322718+C3^2.3(C3^2:C6)486,39
C32.4(C32⋊C6) = C9⋊C9.3S3φ: C32⋊C6/C32 → S3 ⊆ Aut C322718+C3^2.4(C3^2:C6)486,40
C32.5(C32⋊C6) = C9⋊C9⋊S3φ: C32⋊C6/C32 → S3 ⊆ Aut C322718+C3^2.5(C3^2:C6)486,41
C32.6(C32⋊C6) = C34.S3φ: C32⋊C6/C32 → S3 ⊆ Aut C3227C3^2.6(C3^2:C6)486,105
C32.7(C32⋊C6) = (C3×He3)⋊C6φ: C32⋊C6/C32 → S3 ⊆ Aut C322718+C3^2.7(C3^2:C6)486,127
C32.8(C32⋊C6) = C9⋊S3⋊C32φ: C32⋊C6/C32 → S3 ⊆ Aut C322718+C3^2.8(C3^2:C6)486,129
C32.9(C32⋊C6) = He3.(C3×S3)φ: C32⋊C6/C32 → S3 ⊆ Aut C322718+C3^2.9(C3^2:C6)486,131
C32.10(C32⋊C6) = (C32×C9)⋊8S3φ: C32⋊C6/C32 → S3 ⊆ Aut C32546C3^2.10(C3^2:C6)486,150
C32.11(C32⋊C6) = C34⋊5S3φ: C32⋊C6/C32 → S3 ⊆ Aut C32186C3^2.11(C3^2:C6)486,166
C32.12(C32⋊C6) = He3.C3⋊S3φ: C32⋊C6/C32 → S3 ⊆ Aut C32546C3^2.12(C3^2:C6)486,169
C32.13(C32⋊C6) = He3⋊C3⋊2S3φ: C32⋊C6/C32 → S3 ⊆ Aut C32546C3^2.13(C3^2:C6)486,172
C32.14(C32⋊C6) = C92⋊C6φ: C32⋊C6/C32 → C6 ⊆ Aut C32276+C3^2.14(C3^2:C6)486,35
C32.15(C32⋊C6) = C92⋊2C6φ: C32⋊C6/C32 → C6 ⊆ Aut C32276+C3^2.15(C3^2:C6)486,37
C32.16(C32⋊C6) = (C32×C9)⋊C6φ: C32⋊C6/C32 → C6 ⊆ Aut C3281C3^2.16(C3^2:C6)486,151
C32.17(C32⋊C6) = C34⋊5C6φ: C32⋊C6/C32 → C6 ⊆ Aut C3227C3^2.17(C3^2:C6)486,167
C32.18(C32⋊C6) = C32⋊4D9⋊C3φ: C32⋊C6/C32 → C6 ⊆ Aut C3281C3^2.18(C3^2:C6)486,170
C32.19(C32⋊C6) = He3⋊C3⋊3S3φ: C32⋊C6/C32 → C6 ⊆ Aut C3281C3^2.19(C3^2:C6)486,173
C32.20(C32⋊C6) = C34.C6φ: C32⋊C6/C3⋊S3 → C3 ⊆ Aut C32186C3^2.20(C3^2:C6)486,104
C32.21(C32⋊C6) = C3≀C3⋊C6φ: C32⋊C6/C3⋊S3 → C3 ⊆ Aut C32279C3^2.21(C3^2:C6)486,126
C32.22(C32⋊C6) = He3.C3⋊C6φ: C32⋊C6/C3⋊S3 → C3 ⊆ Aut C32279C3^2.22(C3^2:C6)486,128
C32.23(C32⋊C6) = He3.(C3×C6)φ: C32⋊C6/C3⋊S3 → C3 ⊆ Aut C32279C3^2.23(C3^2:C6)486,130
C32.24(C32⋊C6) = C9⋊S3⋊C9φ: C32⋊C6/He3 → C2 ⊆ Aut C3254C3^2.24(C3^2:C6)486,3
C32.25(C32⋊C6) = C3.C3≀S3φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.25(C3^2:C6)486,4
C32.26(C32⋊C6) = C32⋊C9.S3φ: C32⋊C6/He3 → C2 ⊆ Aut C32186C3^2.26(C3^2:C6)486,5
C32.27(C32⋊C6) = C32⋊C9⋊C6φ: C32⋊C6/He3 → C2 ⊆ Aut C32186C3^2.27(C3^2:C6)486,6
C32.28(C32⋊C6) = C32⋊C9⋊S3φ: C32⋊C6/He3 → C2 ⊆ Aut C32186C3^2.28(C3^2:C6)486,7
C32.29(C32⋊C6) = C3.3C3≀S3φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.29(C3^2:C6)486,8
C32.30(C32⋊C6) = (C3×He3).C6φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.30(C3^2:C6)486,9
C32.31(C32⋊C6) = C32⋊C9.C6φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.31(C3^2:C6)486,10
C32.32(C32⋊C6) = C33.(C3×S3)φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.32(C3^2:C6)486,11
C32.33(C32⋊C6) = C32⋊2D9.C3φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.33(C3^2:C6)486,12
C32.34(C32⋊C6) = C33⋊1C18φ: C32⋊C6/He3 → C2 ⊆ Aut C32186C3^2.34(C3^2:C6)486,18
C32.35(C32⋊C6) = C33⋊1D9φ: C32⋊C6/He3 → C2 ⊆ Aut C32186C3^2.35(C3^2:C6)486,19
C32.36(C32⋊C6) = (C3×C9)⋊C18φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.36(C3^2:C6)486,20
C32.37(C32⋊C6) = (C3×C9)⋊D9φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.37(C3^2:C6)486,21
C32.38(C32⋊C6) = C9⋊S3⋊3C9φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.38(C3^2:C6)486,22
C32.39(C32⋊C6) = (C3×C9)⋊3D9φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.39(C3^2:C6)486,23
C32.40(C32⋊C6) = He3⋊D9φ: C32⋊C6/He3 → C2 ⊆ Aut C3281C3^2.40(C3^2:C6)486,25
C32.41(C32⋊C6) = C3×C32⋊D9φ: C32⋊C6/He3 → C2 ⊆ Aut C3254C3^2.41(C3^2:C6)486,94
C32.42(C32⋊C6) = C3×C33⋊C6φ: C32⋊C6/He3 → C2 ⊆ Aut C32186C3^2.42(C3^2:C6)486,116
C32.43(C32⋊C6) = C3×He3.S3φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.43(C3^2:C6)486,119
C32.44(C32⋊C6) = C3×He3.2S3φ: C32⋊C6/He3 → C2 ⊆ Aut C32546C3^2.44(C3^2:C6)486,122
C32.45(C32⋊C6) = C33⋊C18φ: C32⋊C6/He3 → C2 ⊆ Aut C3254C3^2.45(C3^2:C6)486,136
C32.46(C32⋊C6) = C33⋊D9φ: C32⋊C6/He3 → C2 ⊆ Aut C3281C3^2.46(C3^2:C6)486,137
C32.47(C32⋊C6) = He3⋊C18central extension (φ=1)81C3^2.47(C3^2:C6)486,24
C32.48(C32⋊C6) = C3×C32⋊C18central extension (φ=1)54C3^2.48(C3^2:C6)486,93
C32.49(C32⋊C6) = C3×C3≀S3central extension (φ=1)27C3^2.49(C3^2:C6)486,115
C32.50(C32⋊C6) = C3×He3.C6central extension (φ=1)81C3^2.50(C3^2:C6)486,118
C32.51(C32⋊C6) = C3×He3.2C6central extension (φ=1)81C3^2.51(C3^2:C6)486,121

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁