Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#19127623 |
| Fitting | C22×C4⋊C4×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#396 |
908 conjugacy classes of subgroups.
1684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19127623, #35326261, #35330045, … |
| maximal normal subgroup of | C4×#19127623, #35326261, #35330045, … |
| maximal quotient of | C2×#24905705, C2×#24905707, C2×#24905709, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 7730);