Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19128210 |
| Fitting | C2×C4×D4×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#525 |
1880 conjugacy classes of subgroups.
1696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35370391, #35370510, #35405530, … |
| maximal normal subgroup of | #35370391, #35370510, #35405530, … |
| maximal quotient of | C2×#24909844, C2×#24909902, C2×#24909904, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 17750);