Finite Group DatabasebetaFinite Group Databasebeta| order | 4384 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C137 ⋊ SD32 |
26 conjugacy classes of subgroups.
| minimal degree | μ(G) = 153 |
| transitive degree | μt(G) = 2192 |
Polycyclic presentation:
2^5,137|a^2=e,c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^136,c^b=cd,d^b=de487 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4384, 90);