Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #443×D83 |
| Fitting | #443×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1335×D83, #35314189, #1336×D83, … |
| maximal normal subgroup of | #1335×D83, #35314189, #1336×D83, … |
| maximal quotient of | C8×D8×D83, C8×SD16×D83, C8×Q16×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13396);