Finite Group DatabasebetaFinite Group Databasebeta| order | 35744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C1117 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 35744 |
Polycyclic presentation:
2^5,1117|a^2=e,b^2=d,c^2=de,b^a=bd,f^c=f^11165600 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35744, 111);