Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #428×D83 |
| Fitting | #428×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#428 |
536 conjugacy classes of subgroups.
946 conjugacy classes — view the full character table.
| maximal subgroup of | #1856×D83, #1857×D83, #35405235, … |
| maximal normal subgroup of | #1856×D83, #1857×D83, #35405235, … |
| maximal quotient of | #1565×D83, #1569×D83, #35373429, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13091);