Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#10597273 |
| Sylow | C19 ⋊ C4×#103 |
332 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 145 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2432 |
632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18073307, C8×#10597273, #18073321, … |
| maximal normal subgroup of | #18073307, C8×#10597273, #18073321, … |
| maximal quotient of | C4×#11926276, #18073167, #18073172, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4331);