Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14581738 |
| Sylow | C83 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
1192 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35321479, #35321480, #35321482, … |
| maximal normal subgroup of | #35321479, #35321480, #35321482, … |
| maximal quotient of | C22×#19127504, C22×#19127505, C22×#19127526, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 17622);