Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #449×D83 |
| Fitting | #449×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#449 |
812 conjugacy classes of subgroups.
817 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#449×D83, #3002×D83, #3005×D83, … |
| maximal normal subgroup of | C2×#449×D83, #3002×D83, #3005×D83, … |
| maximal quotient of | #1597×D83, #1609×D83, #1600×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13707);