Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×#14581798 |
| Fitting | C23×C8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C22×#131 |
1504 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35309815, #35309819, #35309837, … |
| maximal normal subgroup of | #35309815, #35309819, #35309837, … |
| maximal quotient of | C22×#19127655, C22×#19127656, C2×C4×#14581798, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 19214);