Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #510×D59 |
| Fitting | C59×#510 ⋊ C2 |
| Sylow | C59 ⋊ C2×#510 |
360 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 115 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
496 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#2180, #28742152, D59×#2191, … |
| maximal normal subgroup of | D59×#2180, #28742152, D59×#2191, … |
| maximal quotient of | D59×#2141, D59×#2139, D59×#2159, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 17636);