Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×D1328 |
| Fitting | C22×C16×C83 ⋊ C2 |
| Sylow | C83 ⋊ C22×D16 |
440 conjugacy classes of subgroups.
2668 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35321460, #35321462, #35321495, … |
| maximal normal subgroup of | #35321460, #35321462, #35321495, … |
| maximal quotient of | C22×#19127503, C22×#19127527, C2×C4×D1328, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 17616);