Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C271 ⋊ #519 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
Polycyclic presentation:
2^6,271|a^2=f,b^2=e,c^2=e,b^a=be,d^a=de,c^b=ce,g^c=g^2702734 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46836477, #46836577, #46836580, … |
| maximal normal subgroup of | #46836477, #46836577, #46836580, … |
| maximal quotient of | #46838719, #46838720, #46838727, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 1026);