Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×#13050578 |
| Sylow | C83 ⋊ C23×SD16 |
1720 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35311206, #35311210, #35311233, … |
| maximal normal subgroup of | #35311206, #35311210, #35311233, … |
| maximal quotient of | C23×#14581713, C23×#14581715, C23×#14581723, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 19229);