Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | #518×D83 |
| Fitting | #518×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#518 |
1920 conjugacy classes of subgroups.
1462 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1828×D83, #1829×D83, #1856×D83, … |
| maximal normal subgroup of | #1828×D83, #1829×D83, #1856×D83, … |
| maximal quotient of | #2273×D83, #2274×D83, #2275×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 17693);