Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #461×D83 |
| Fitting | #461×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#461 |
544 conjugacy classes of subgroups.
817 conjugacy classes — view the full character table.
| maximal subgroup of | #1639×D83, #1643×D83, #1647×D83, … |
| maximal normal subgroup of | #1639×D83, #1643×D83, #1647×D83, … |
| maximal quotient of | #1671×D83, #1673×D83, #1675×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13924);