Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14581823 |
| Fitting | C2×C4×Q8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
1684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35299018, #35299024, #35299032, … |
| maximal normal subgroup of | #35299018, #35299024, #35299032, … |
| maximal quotient of | C8×#14581823, #35373998, #35374018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13329);