Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#19127674 |
| Fitting | C2×#117×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
1684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35309730, #35309733, #35309735, … |
| maximal normal subgroup of | #35309730, #35309733, #35309735, … |
| maximal quotient of | C2×#24905775, C2×#24905783, C2×#24905786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12966);