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

Extensions 1→N→G→Q→1 with N=C32 and Q=C9⋊C6

Direct product G=N×Q with N=C32 and Q=C9⋊C6
dρLabelID
C32×C9⋊C654C3^2xC9:C6486,224

Semidirect products G=N:Q with N=C32 and Q=C9⋊C6
extensionφ:Q→Aut NdρLabelID
C32⋊1(C9⋊C6) = C9⋊He3⋊2C2φ: C9⋊C6/C9 → C6 ⊆ Aut C3281C3^2:1(C9:C6)486,148
C32⋊2(C9⋊C6) = C34.S3φ: C9⋊C6/C32 → S3 ⊆ Aut C3227C3^2:2(C9:C6)486,105
C32⋊3(C9⋊C6) = C34.7S3φ: C9⋊C6/C32 → S3 ⊆ Aut C32186C3^2:3(C9:C6)486,147
C32⋊4(C9⋊C6) = D9⋊He3φ: C9⋊C6/D9 → C3 ⊆ Aut C32546C3^2:4(C9:C6)486,106
C32⋊5(C9⋊C6) = C3×C33.S3φ: C9⋊C6/3- 1+2 → C2 ⊆ Aut C3254C3^2:5(C9:C6)486,232
C32⋊6(C9⋊C6) = C34.11S3φ: C9⋊C6/3- 1+2 → C2 ⊆ Aut C3281C3^2:6(C9:C6)486,244

Non-split extensions G=N.Q with N=C32 and Q=C9⋊C6
extensionφ:Q→Aut NdρLabelID
C32.1(C9⋊C6) = He3⋊D9φ: C9⋊C6/C9 → C6 ⊆ Aut C3281C3^2.1(C9:C6)486,25
C32.2(C9⋊C6) = C33⋊1D9φ: C9⋊C6/C32 → S3 ⊆ Aut C32186C3^2.2(C9:C6)486,19
C32.3(C9⋊C6) = (C3×C9)⋊D9φ: C9⋊C6/C32 → S3 ⊆ Aut C32546C3^2.3(C9:C6)486,21
C32.4(C9⋊C6) = (C3×C9)⋊3D9φ: C9⋊C6/C32 → S3 ⊆ Aut C32546C3^2.4(C9:C6)486,23
C32.5(C9⋊C6) = C27⋊C18φ: C9⋊C6/C32 → S3 ⊆ Aut C322718+C3^2.5(C9:C6)486,31
C32.6(C9⋊C6) = C9⋊C9⋊2S3φ: C9⋊C6/C32 → S3 ⊆ Aut C32546C3^2.6(C9:C6)486,152
C32.7(C9⋊C6) = D9⋊3- 1+2φ: C9⋊C6/D9 → C3 ⊆ Aut C32546C3^2.7(C9:C6)486,108
C32.8(C9⋊C6) = C9⋊S3⋊C9φ: C9⋊C6/3- 1+2 → C2 ⊆ Aut C3254C3^2.8(C9:C6)486,3
C32.9(C9⋊C6) = C3×C32⋊D9φ: C9⋊C6/3- 1+2 → C2 ⊆ Aut C3254C3^2.9(C9:C6)486,94
C32.10(C9⋊C6) = C33⋊D9φ: C9⋊C6/3- 1+2 → C2 ⊆ Aut C3281C3^2.10(C9:C6)486,137
C32.11(C9⋊C6) = C9⋊(S3×C9)φ: C9⋊C6/3- 1+2 → C2 ⊆ Aut C3254C3^2.11(C9:C6)486,138
C32.12(C9⋊C6) = C3×C9⋊C18central extension (φ=1)54C3^2.12(C9:C6)486,96

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁