Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16837239 |
| Fitting | C2×Q32×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
676 conjugacy classes — view the full character table.
| maximal subgroup of | #28509265, C4×#16837239, #28509278, … |
| maximal normal subgroup of | #28509265, C4×#16837239, #28509278, … |
| maximal quotient of | C2×#21422273, C2×#21422277, C2×#21422297, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 6810);