Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×Q8×C271 ⋊ C2 |
| Sylow | C271 ⋊ #393 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
Polycyclic presentation:
2^6,271|a^2=d,b^2=d,b^a=bd,c^a=ce,c^b=cf,g^c=g^2702722 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46835314, #46835319, #46835341, … |
| maximal normal subgroup of | #46835314, #46835319, #46835341, … |
| maximal quotient of | #46834606, #46834623, #46834635, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 460);