Finite Group DatabasebetaFinite Group Databasebeta| order | 4536 |
| isoclinism | isoclinic class of SL(2,𝔽8) |
| automorphism | ? |
| homology | Abelianization (H1) = C9 · Schur multiplier (H2) = C1 |
| general unitary | GU(2,𝔽8) |
| direct product | C9×SL(2,𝔽8) |
| subgroup | G/H | |
|---|---|---|
| center, Fitting, hypercenter | C9 | SL(2,𝔽8) |
| commutator, hypocenter | SL(2,𝔽8) | C9 |
| Frattini, cosocle | C3 | C3×SL(2,𝔽8) |
| socle, prime radical | C3×SL(2,𝔽8) | C3 |
| LCS | G ▷ SL(2,𝔽8) | |
| UCS | C1 ◁ C9 | |
43 conjugacy classes of subgroups.
81 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.