Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14581817 |
| Fitting | C4×#41×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
1684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35299026, #35299028, #35299040, … |
| maximal normal subgroup of | #35299026, #35299028, #35299040, … |
| maximal quotient of | C8×#14581817, #35373985, #35374011, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13316);