Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16837144 |
| Sylow | C59 ⋊ C2×#330 |
232 conjugacy classes of subgroups.
850 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16837144, #330×Dic59, #28479615, … |
| maximal normal subgroup of | C4×#16837144, #330×Dic59, #28479615, … |
| maximal quotient of | C2×#21421919, #28476661, #28476915, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 3094);