Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #467×D59 |
| Fitting | C59×#467 ⋊ C2 |
| Sylow | C59 ⋊ C2×#467 |
512 conjugacy classes of subgroups.
682 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#1348, #28498928, D59×#1350, … |
| maximal normal subgroup of | D59×#1348, #28498928, D59×#1350, … |
| maximal quotient of | D59×#1669, D59×#1675, D59×#1683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14080);