Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#10587605 |
| Fitting | C2×Q16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #14530490, #14530495, #14530532, … |
| maximal normal subgroup of | #14530490, #14530495, #14530532, … |
| maximal quotient of | C2×#11762804, C2×#11762846, C2×#11762891, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1332);