Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#16837172 |
| Sylow | C59 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #344×Dic59, C4×#16837172, #28493900, … |
| maximal normal subgroup of | #344×Dic59, C4×#16837172, #28493900, … |
| maximal quotient of | C2×#21421940, #28478319, #28478322, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 4251);