Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#22583549 |
| Fitting | C2×C16×C283 ⋊ C2 |
| Sylow | C283 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
4552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119400, C4×#22583549, #49122854, … |
| maximal normal subgroup of | #49119400, C4×#22583549, #49122854, … |
| maximal quotient of | C2×#31826240, C4×#22583549, C2×(C2×D283)⋊C16, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 963);