Finite Group DatabasebetaFinite Group Databasebeta| order | 544 |
| isoclinism | isoclinic class of #63228 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#63231 |
| Sylow | C17 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
94 conjugacy classes — view the full character table.
| maximal subgroup of | #11762901, C4×#63231, #11762913, … |
| maximal normal subgroup of | #11762901, C4×#63231, #11762913, … |
| maximal quotient of | C2×#10587481, C2×#10587506, C2×#10587478, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(544, 165);