Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C22×#14581731 |
| Fitting | C22×C16×C83 ⋊ C2 |
| Sylow | C83 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35319242, #35319245, #35319275, … |
| maximal normal subgroup of | #35319242, #35319245, #35319275, … |
| maximal quotient of | C22×#19127476, C2×C4×#14581731, C22×(C2×D83)⋊C16, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 17605);