Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D52×#106 |
| Fitting | C52×#106 ⋊ C22 |
| Sylow | C52 ⋊ C22×#106 |
1330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | #106×D5⋊AGL(1,𝔽5), #72242560, #72242574 |
| maximal normal subgroup of | #106×D5⋊AGL(1,𝔽5), #72242560, #72242574 |
Past the SmallGroups library coverage — no SmallGroups id.