Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26 |
| direct product | C22×#14581703 |
| Sylow | C83 ⋊ C22×#97 |
680 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#24905293, #35293825, C2×#24905307, … |
| maximal normal subgroup of | C2×#24905293, #35293825, C2×#24905307, … |
| maximal quotient of | C22×#19127423, C2×#24905750, C2×#24905755, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 12914);