Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10587533 |
| unambiguous semidirect product | D17⋊#106 |
| Fitting | C2×C8×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
92 conjugacy classes — view the full character table.
| maximal subgroup of | #14543849, #14543850, #14543855, … |
| maximal normal subgroup of | #14543849, #14543850, #14543855, … |
| maximal quotient of | C2×#11763670, #14544326, C2×#11763671, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1557);