Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#13050574 |
| Sylow | C83 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
1690 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35298730, #35298734, #35298744, … |
| maximal normal subgroup of | #35298730, #35298734, #35298744, … |
| maximal quotient of | D8×#13050574, #35375835, SD16×#13050574, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13247);