Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic332 |
| Sylow | C83 ⋊ C23×Q16 |
1464 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35311214, #35311216, #35311240, … |
| maximal normal subgroup of | #35311214, #35311216, #35311240, … |
| maximal quotient of | C23×#14581717, C23×#14581726, C22×C4×Dic332, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 19233);