Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C271 ⋊ #518 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4336 |
Polycyclic presentation:
2^6,271|a^2=f,b^a=be,d^a=de,g^a=g^270,c^b=ce2734 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46836470, #46836473, #46836573, … |
| maximal normal subgroup of | #46836470, #46836473, #46836573, … |
| maximal quotient of | #46838717, #46838721, #46838725, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1024);