Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14581815 |
| Fitting | C4×Q16×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35314143, #35314148, #35314169, … |
| maximal normal subgroup of | #35314143, #35314148, #35314169, … |
| maximal quotient of | C8×#14581815, #35373934, #35374153, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13282);