Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11758189 |
| Fitting | C2×C8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
500 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16839543, C4×#11758189, #16839714, … |
| maximal normal subgroup of | #16839543, C4×#11758189, #16839714, … |
| maximal quotient of | C2×#14519687, C4×#11758189, C2×#14519689, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 150);