Finite Group DatabasebetaFinite Group Databasebeta| order | 544 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C17 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^5,17|a^2=d,b^2=c,c^2=e,b^a=bd,f^a=f^16148 conjugacy classes — view the full character table.
| maximal subgroup of | C4⋊C8×D17, C2×#10587485, #11762831, … |
| maximal normal subgroup of | C4⋊C8×D17, C2×#10587485, #11762831, … |
| maximal quotient of | #11762559, #11762561, #11762563, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(544, 21);