Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #131×D17 |
| Fitting | C17×#131 ⋊ C2 |
| Sylow | C17 ⋊ C2×#131 |
266 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 272 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#350, #14530410, D17×#443, … |
| maximal normal subgroup of | D17×#350, #14530410, D17×#443, … |
| maximal quotient of | D17×#405, #131×Dic17, #14537206, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1310);