Finite Group DatabasebetaFinite Group Databasebeta| order | 15600 |
| isoclinism | isoclinic class of PSL(2,𝔽25) |
| automorphism | ? |
| homology | Abelianization (H1) = C2 · Schur multiplier (H2) = C2 |
| special orthogonal | SO−(4,𝔽5) |
| direct product | C2×PSL(2,𝔽25) |
| subgroup | G/H | |
|---|---|---|
| center, Fitting, hypercenter | C2 | PSL(2,𝔽25) |
| commutator, hypocenter | PSL(2,𝔽25) | C2 |
| Frattini | C1 | G |
| LCS | G ▷ PSL(2,𝔽25) | |
| UCS | C1 ◁ C2 | |
105 conjugacy classes of subgroups.
30 conjugacy classes — view the full character table.
| maximal subgroup of | C2×PΣL(2,𝔽25) |
| maximal normal subgroup of | C2×PΣL(2,𝔽25) |
Past the SmallGroups library coverage — no SmallGroups id.