Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11758213 |
| 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 | #16840632, #16840638, #16840645, … |
| maximal normal subgroup of | #16840632, #16840638, #16840645, … |
| maximal quotient of | C2×#14519832, C4×#11758213, C2×#14519834, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 232);