Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #436×D83 |
| Fitting | #436×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#436 |
552 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1330×D83, #35314125, #35314333, … |
| maximal normal subgroup of | #1330×D83, #35314125, #35314333, … |
| maximal quotient of | #1589×D83, #1590×D83, #1591×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13193);