Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#11926288 |
| Sylow | C19 ⋊ C2×#331 |
360 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1216 |
290 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18070277, #18070278, C4×#11926288, … |
| maximal normal subgroup of | #18070277, #18070278, C4×#11926288, … |
| maximal quotient of | C2×#14561456, #18070514, #18070816, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 3151);