Finite Group DatabasebetaFinite Group Databasebeta| order | 1952 |
| isoclinism | isoclinic class of Dic122 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D244 |
| Fitting | C42×C61 ⋊ C2 |
| Sylow | C61 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
500 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16839489, #16839491, #16839827, … |
| maximal normal subgroup of | #16839489, #16839491, #16839827, … |
| maximal quotient of | C4×#11758198, C4×C4⋊Dic61, #16839636, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 110);