Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | #469×D59 |
| Fitting | C59×#469 ⋊ C2 |
| Sylow | C59 ⋊ C2×#469 |
596 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 135 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×#1339, D59×#1341, D59×#2190, … |
| maximal normal subgroup of | D59×#1339, D59×#1341, D59×#2190, … |
| maximal quotient of | D59×#1687, D59×#1693, D59×#1701, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14102);