Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16838211 |
| Fitting | C2×#137×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
682 conjugacy classes — view the full character table.
| maximal subgroup of | #28604598, #28604628, #28604680, … |
| maximal normal subgroup of | #28604598, #28604628, #28604680, … |
| maximal quotient of | C2×#21432620, C2×#21432628, C2×#21432690, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 19268);