Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×Q8×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=de311 conjugacy classes — view the full character table.
| maximal subgroup of | #16839938, #16839939, #16839943, … |
| maximal normal subgroup of | #16839938, #16839939, #16839943, … |
| maximal quotient of | #16839761, #16839771, #16839802, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 177);