Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #472×D83 |
| Fitting | #472×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#472 |
488 conjugacy classes of subgroups.
688 conjugacy classes — view the full character table.
| maximal subgroup of | #2192×D83, #2193×D83, #35558384, … |
| maximal normal subgroup of | #2192×D83, #2193×D83, #35558384, … |
| maximal quotient of | #1667×D83, #1675×D83, #1677×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 14213);