Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D61⋊M16 |
| Sylow | C61 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 488 |
Polycyclic presentation:
2^5,61|a^2=d,d^2=e,b^a=be,f^a=f^11,f^c=f^60,f^d=f^60140 conjugacy classes — view the full character table.
| maximal subgroup of | #16840629, #16840631, #16840633, … |
| maximal normal subgroup of | #16840629, #16840631, #16840633, … |
| maximal quotient of | #16840721, C4×#11758217, C4×#11758213, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 231);