Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#14581724 |
| Sylow | C83 ⋊ C22×#106 |
600 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35310298, #35310300, #35310308, … |
| maximal normal subgroup of | #35310298, #35310300, #35310308, … |
| maximal quotient of | C22×#19127452, C2×#24906219, C2×#24906234, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13082);