Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C271 ⋊ #504 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
Polycyclic presentation:
2^6,271|a^2=d,d^2=e,e^2=f,g^a=g^270,c^b=cf2740 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46838198, #46838201, #46838203, … |
| maximal normal subgroup of | #46838198, #46838201, #46838203, … |
| maximal quotient of | #46837961, #46837978, #46838123, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 966);