Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | #388×D83 |
| Fitting | #388×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#388 |
928 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#388×D83, #2290×D83, #2293×D83, … |
| maximal normal subgroup of | C2×#388×D83, #2290×D83, #2293×D83, … |
| maximal quotient of | #1434×D83, #1436×D83, #1437×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6938);