Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #421×D59 |
| Fitting | C59×#421 ⋊ C2 |
| Sylow | C59 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
682 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#1794, #28588014, D59×#1795, … |
| maximal normal subgroup of | D59×#1794, #28588014, D59×#1795, … |
| maximal quotient of | D59×#1478, D59×#1479, D59×#1477, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13049);