Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#22582872 |
| Sylow | C281 ⋊ C2×#126 |
246 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 111 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 8992 |
2828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093669, C4×#22582872, #49097857, … |
| maximal normal subgroup of | #49093669, C4×#22582872, #49097857, … |
| maximal quotient of | C2×#31823330, C2×#31823345, C2×#31823348, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 1073);