Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D17 |
| Fitting | C2×Q16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | D17×#358, #14530502, D17×#362, … |
| maximal normal subgroup of | D17×#358, #14530502, D17×#362, … |
| maximal quotient of | C2×#103×D17, C2×#107×D17, C4×Q16×D17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1324);