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×C22⋊D61 |
| Fitting | C22×C4×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 | #16839825, C8×C22⋊D61, #16839830, … |
| maximal normal subgroup of | #16839825, C8×C22⋊D61, #16839830, … |
| maximal quotient of | C4×C22⋊Dic61, C4×#11758198, C4×#11758196, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1952, 107);