Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14273673 |
| Sylow | C59 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
856 conjugacy classes — view the full character table.
| maximal subgroup of | #28505764, #28505765, #28505767, … |
| maximal normal subgroup of | #28505764, #28505765, #28505767, … |
| maximal quotient of | C22×#16837205, C22×#16837206, C22×#16837227, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 17622);