Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C61 ⋊ C4 |
| Sylow | C61 ⋊ #99 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 488 |
Polycyclic presentation:
2^5,61|a^2=d,b^a=bc,c^a=ce,f^a=f^11,d^b=de,f^b=f^60,f^d=f^60131 conjugacy classes — view the full character table.
| maximal subgroup of | #16840666, #16840667, #16840668, … |
| maximal normal subgroup of | #16840666, #16840667, #16840668, … |
| maximal quotient of | #16840606, #16840607, #16840614, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 205);