Finite Group DatabasebetaFinite Group Databasebeta| order | 1360 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C5×C17 ⋊ M16 |
| Sylow | C17 ⋊ #681 |
| Sylow | C5 ⋊ #63223 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 680 |
Polycyclic presentation:
2^4,5,17|a^2=c,c^2=d,b^a=bd,e^a=e^4,f^a=f^16346 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1360, 74);