Finite Group DatabasebetaFinite Group Databasebeta| order | 4192 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C131 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2096 |
Polycyclic presentation:
2^5,131|a^2=d,c^2=e,b^a=bc,c^a=ce,f^a=f^130,c^b=ce664 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4192, 67);