Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C43 |
| direct product | C42×#10625329 |
| Sylow | C47 ⋊ C42×M16 |
1734 conjugacy classes of subgroups; only the 1035 normal subgroups are shown.
This group has 1734 conjugacy classes of subgroups — too many to draw. Only its 1035 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
3104 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 166900);