Finite Group DatabasebetaFinite Group Databasebeta| order | 544 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D17 |
| Fitting | Q16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
70 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×D17, Q32×D17, #11763248, … |
| maximal normal subgroup of | SD32×D17, Q32×D17, #11763248, … |
| maximal quotient of | #103×D17, #107×D17, #11762901, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(544, 139);