Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×#595 |
| Fitting | Q16×C17 ⋊ C4 |
| Sylow | C17 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
56 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×#595, Q32×#595, #14545180, … |
| maximal normal subgroup of | SD32×#595, Q32×#595, #14545180, … |
| maximal quotient of | Q16×#3624, #14544371, #14544372, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1587);