Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11758217 |
| Sylow | C61 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #16840642, #16840643, C4×#11758217, … |
| maximal normal subgroup of | #16840642, #16840643, C4×#11758217, … |
| maximal quotient of | C2×#14519832, C4×#11758217, C2×C22⋊#92420, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 230);