Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11758196 |
| Sylow | C61 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1952 |
500 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16839487, #16839613, C4×#11758196, … |
| maximal normal subgroup of | #16839487, #16839613, C4×#11758196, … |
| maximal quotient of | C2×#14519684, C4×#11758196, #16839620, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 100);