Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #465×D59 |
| Fitting | C59×#465 ⋊ C2 |
| Sylow | C59 ⋊ C2×#465 |
564 conjugacy classes of subgroups.
682 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#465×D59, D59×#3050, D59×#3055, … |
| maximal normal subgroup of | C2×#465×D59, D59×#3050, D59×#3055, … |
| maximal quotient of | D59×#1665, D59×#1671, D59×#1677, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14066);