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

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

Direct product G=N×Q with N=C9⋊C9 and Q=C6
dρLabelID
C6×C9⋊C9486C6xC9:C9486,192

Semidirect products G=N:Q with N=C9⋊C9 and Q=C6
extensionφ:Q→Out NdρLabelID
C9⋊C9⋊1C6 = D9⋊3- 1+2φ: C6/C1 → C6 ⊆ Out C9⋊C9546C9:C9:1C6486,108
C9⋊C9⋊2C6 = C92⋊7C6φ: C6/C1 → C6 ⊆ Out C9⋊C9546C9:C9:2C6486,109
C9⋊C9⋊3C6 = C92⋊8C6φ: C6/C1 → C6 ⊆ Out C9⋊C9186C9:C9:3C6486,110
C9⋊C9⋊4C6 = C2×C32.He3φ: C6/C2 → C3 ⊆ Out C9⋊C9549C9:C9:4C6486,88
C9⋊C9⋊5C6 = C2×C32.6He3φ: C6/C2 → C3 ⊆ Out C9⋊C9549C9:C9:5C6486,90
C9⋊C9⋊6C6 = C2×C9⋊3- 1+2φ: C6/C2 → C3 ⊆ Out C9⋊C9162C9:C9:6C6486,200
C9⋊C9⋊7C6 = C2×C33.31C32φ: C6/C2 → C3 ⊆ Out C9⋊C9162C9:C9:7C6486,201
C9⋊C9⋊8C6 = C2×C92⋊7C3φ: C6/C2 → C3 ⊆ Out C9⋊C9162C9:C9:8C6486,202
C9⋊C9⋊9C6 = C2×C92⋊4C3φ: C6/C2 → C3 ⊆ Out C9⋊C9162C9:C9:9C6486,203
C9⋊C9⋊10C6 = C2×C92⋊5C3φ: C6/C2 → C3 ⊆ Out C9⋊C9162C9:C9:10C6486,204
C9⋊C9⋊11C6 = C2×C92⋊8C3φ: C6/C2 → C3 ⊆ Out C9⋊C9162C9:C9:11C6486,205
C9⋊C9⋊12C6 = C2×C92⋊9C3φ: C6/C2 → C3 ⊆ Out C9⋊C9162C9:C9:12C6486,206
C9⋊C9⋊13C6 = C3×C9⋊C18φ: C6/C3 → C2 ⊆ Out C9⋊C954C9:C9:13C6486,96
C9⋊C9⋊14C6 = C9×C9⋊C6φ: C6/C3 → C2 ⊆ Out C9⋊C9546C9:C9:14C6486,100
C9⋊C9⋊15C6 = C2×C92⋊3C3φ: trivial image162C9:C9:15C6486,193
C9⋊C9⋊16C6 = C18×3- 1+2φ: trivial image162C9:C9:16C6486,195

Non-split extensions G=N.Q with N=C9⋊C9 and Q=C6
extensionφ:Q→Out NdρLabelID
C9⋊C9.1C6 = C2×C27⋊C9φ: C6/C2 → C3 ⊆ Out C9⋊C9549C9:C9.1C6486,82
C9⋊C9.2C6 = C2×C32.5He3φ: C6/C2 → C3 ⊆ Out C9⋊C9549C9:C9.2C6486,89

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁