Finite Group DatabasebetaFinite Group Databasebeta| order | 4384 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | Q8×C137 ⋊ C4 |
| Sylow | C137 ⋊ #104 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1096 |
Polycyclic presentation:
2^5,137|a^2=d,c^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^100,c^b=ce,f^b=f^136,f^d=f^136184 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4384, 211);