Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19128502 |
| Fitting | C22×D8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
1192 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35320088, #35320100, #35320127, … |
| maximal normal subgroup of | #35320088, #35320100, #35320127, … |
| maximal quotient of | C2×#24915984, C2×#24916059, C2×#24916288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 19259);