Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#10597279 |
| Sylow | C19 ⋊ C4×#108 |
228 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 121 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1216 |
416 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18073830, C8×#10597279, #18073835, … |
| maximal normal subgroup of | #18073830, C8×#10597279, #18073835, … |
| maximal quotient of | C4×#11926294, C4×#11926296, #18073729, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4413);