Finite Group DatabasebetaFinite Group Databasebeta| order | 544 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C17 ⋊ #106 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^5,17|a^2=c,b^2=d,d^2=e,b^a=bd,d^a=de,f^a=f^16142 conjugacy classes — view the full character table.
| maximal subgroup of | #11762619, #11762620, #11762632, … |
| maximal normal subgroup of | #11762619, #11762620, #11762632, … |
| maximal quotient of | #11762560, #11762572, #11762632, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(544, 24);