Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#19128099 |
| Sylow | C83 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
2668 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35299666, #35299668, #35303619, … |
| maximal normal subgroup of | #35299666, #35299668, #35303619, … |
| maximal quotient of | C2×#24907620, C2×#24908191, C2×#24908424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 15009);