Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×D944 |
| Fitting | C22×C16×C59 ⋊ C2 |
| Sylow | C59 ⋊ C22×D16 |
440 conjugacy classes of subgroups.
1900 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28505745, #28505747, #28505780, … |
| maximal normal subgroup of | #28505745, #28505747, #28505780, … |
| maximal quotient of | C22×#16837204, C22×#16837228, C2×C4×D944, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 17616);