Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19127772 |
| Fitting | C23×C8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#435 |
564 conjugacy classes of subgroups.
2680 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35294957, #35294959, #35297303, … |
| maximal normal subgroup of | #35294957, #35294959, #35297303, … |
| maximal quotient of | C2×#24906292, C2×#24906306, C2×#24906299, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13189);