Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#10587469 |
| Fitting | C2×C16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14526923, C4×#10587469, #14530377, … |
| maximal normal subgroup of | #14526923, C4×#10587469, #14530377, … |
| maximal quotient of | C2×#11762584, C4×#10587469, C2×#11762588, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 963);