Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#11758201 |
| Fitting | C2×Q8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
314 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16839847, C4×#11758201, #16839860, … |
| maximal normal subgroup of | #16839847, C4×#11758201, #16839860, … |
| maximal quotient of | C2×#14519697, C2×#14519701, C2×#14519708, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 159);