Finite Group DatabasebetaFinite Group Databasebeta| order | 1856 |
| isoclinism | isoclinic class of Dic58 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#90805 |
| Fitting | C2×C42×C29 ⋊ C2 |
| Sylow | C29 ⋊ C4×#41 |
310 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 159 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 928 |
488 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16817872, #16817875, #16817877, … |
| maximal normal subgroup of | #16817872, #16817875, #16817877, … |
| maximal quotient of | C4×#11745288, C4×#11745234, C42×C22⋊D29, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1856, 1018);