Finite Group DatabasebetaFinite Group Databasebeta| order | 3904 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C8×C61 ⋊ C4 |
| Sylow | C61 ⋊ H(3,ℤ/4) |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
Polycyclic presentation:
2^6,61|a^2=d,b^2=e,c^2=f,b^a=bc,e^a=ef,g^a=g^50,d^b=df,g^b=g^11,g^d=g^60,g^e=g^60262 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3904, 1417);