Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| isoclinism | isoclinic class of #64516 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×#64516 |
| Fitting | C82×C19 ⋊ C2 |
| Sylow | C19 ⋊ C8×SD16 |
180 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1216 |
632 conjugacy classes. The character table is too large to display.
| maximal quotient of | C8×#10597278, C8×#10597273, C8×#10597274, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 3312);