Finite Group DatabasebetaFinite Group Databasebeta| order | 544 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C17 ⋊ #103 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^5,17|a^2=d,b^2=cd,c^2=e,b^a=bc,c^a=ce,f^a=f^16142 conjugacy classes — view the full character table.
| maximal subgroup of | #103×D17, C2×#10587487, #11762802, … |
| maximal normal subgroup of | #103×D17, C2×#10587487, #11762802, … |
| maximal quotient of | #11762541, #11762547, #11762556, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(544, 23);