Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19127683 |
| Fitting | C22×M16×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
1684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35309740, #35309743, #35309750, … |
| maximal normal subgroup of | #35309740, #35309743, #35309750, … |
| maximal quotient of | C2×#24905775, C2×#24905779, #35370215, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12983);