Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#22583520 |
| Sylow | C283 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
4552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119340, #49119344, #97×Dic283, … |
| maximal normal subgroup of | #49119340, #49119344, #97×Dic283, … |
| maximal quotient of | C2×#31826186, C2×#31826187, #49119550, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 497);