Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14581820 |
| Fitting | C4×M16×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 | #35299027, #35299029, #35299041, … |
| maximal normal subgroup of | #35299027, #35299029, #35299041, … |
| maximal quotient of | C8×#14581820, #35373991, #35374013, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 13322);