Finite Group DatabasebetaFinite Group Databasebeta| order | 35744 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | SD16×C1117 ⋊ C2 |
| Sylow | C1117 ⋊ #135 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17872 |
Polycyclic presentation:
2^5,1117|c^2=e,d^2=e,b^a=bd,d^a=de,d^b=de,f^b=f^1116,f^c=f^11163920 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35744, 167);