Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | M16×C61 ⋊ C2 |
| Sylow | C61 ⋊ #137 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
Polycyclic presentation:
2^5,61|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,f^a=f^60,d^b=de,f^b=f^60311 conjugacy classes — view the full character table.
| maximal subgroup of | #16839941, #16839942, #16839946, … |
| maximal normal subgroup of | #16839941, #16839942, #16839946, … |
| maximal quotient of | #16839764, #16839772, #16839804, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 179);