Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D17 |
| Fitting | C17×#108 ⋊ C2 |
| Sylow | C17 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#359, #14530510, D17×#361, … |
| maximal normal subgroup of | D17×#359, #14530510, D17×#361, … |
| maximal quotient of | D17×#334, D17×#335, #14527529, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 593);