Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | #482×D83 |
| Fitting | #482×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#482 |
468 conjugacy classes of subgroups.
817 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#482×D83, #3091×D83, #3093×D83, … |
| maximal normal subgroup of | C2×#482×D83, #3091×D83, #3093×D83, … |
| maximal quotient of | #1825×D83, #1854×D83, #1875×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 14390);