Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#99×D83 |
| Fitting | C2×#99×C83 ⋊ C2 |
| Sylow | C83 ⋊ C22×#99 |
1112 conjugacy classes of subgroups.
946 conjugacy classes — view the full character table.
| maximal subgroup of | #1390×D83, #35319349, #1393×D83, … |
| maximal normal subgroup of | #1390×D83, #35319349, #1393×D83, … |
| maximal quotient of | C2×#323×D83, C2×#324×D83, #1459×D83, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12961);