Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19127529 |
| Sylow | C83 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
2668 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35292112, #35292113, #35292118, … |
| maximal normal subgroup of | #35292112, #35292113, #35292118, … |
| maximal quotient of | C2×#24905537, #35316049, #35316089, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6290);