Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#16837161 |
| Sylow | C59 ⋊ C2×#339 |
488 conjugacy classes of subgroups.
1216 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #339×Dic59, C4×#16837161, #28493864, … |
| maximal normal subgroup of | #339×Dic59, C4×#16837161, #28493864, … |
| maximal quotient of | C2×#21421928, #28478130, #28478136, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 4215);