Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#10587590 |
| Fitting | C22×C8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14529110, #14529112, #14529670, … |
| maximal normal subgroup of | #14529110, #14529112, #14529670, … |
| maximal quotient of | C2×#11762806, C2×#11762847, C2×C4×D136, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1331);