Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16837241 |
| Fitting | C2×C32×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
1894 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28509267, C4×#16837241, #28509279, … |
| maximal normal subgroup of | #28509267, C4×#16837241, #28509279, … |
| maximal quotient of | C2×#21422275, C2×#21422278, C2×#21422298, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 6812);