Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#16837168 |
| Sylow | C59 ⋊ C2×#342 |
680 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #342×Dic59, C4×#16837168, #28493949, … |
| maximal normal subgroup of | #342×Dic59, C4×#16837168, #28493949, … |
| maximal quotient of | C2×#21421938, #28478282, #28478288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 4239);