Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
| direct product | #433×D83 |
| Fitting | #433×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#433 |
412 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#433×D83, #2921×D83, #2922×D83, … |
| maximal normal subgroup of | C2×#433×D83, #2921×D83, #2922×D83, … |
| maximal quotient of | #1746×D83, #1750×D83, #1768×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13132);