Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C22×#14581732 |
| Sylow | C83 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
2704 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35319243, #35319244, #35319246, … |
| maximal normal subgroup of | #35319243, #35319244, #35319246, … |
| maximal quotient of | C22×#19127477, C2×C4×#14581732, C22×C22⋊(C83⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 17606);