Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D61 |
| Fitting | Q16×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×D61, Q32×D61, #16840201, … |
| maximal normal subgroup of | SD32×D61, Q32×D61, #16840201, … |
| maximal quotient of | #103×D61, #107×D61, #16839854, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 162);