Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| 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^60,d^b=de311 conjugacy classes — view the full character table.
| maximal subgroup of | #16839549, #16839550, #16839552, … |
| maximal normal subgroup of | #16839549, #16839550, #16839552, … |
| maximal quotient of | #16839486, #16839488, #16839496, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 61);