Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D2264 |
| Fitting | C4×C8×C283 ⋊ C2 |
| Sylow | C283 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
4540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119221, #49119223, #49119227, … |
| maximal normal subgroup of | #49119221, #49119223, #49119227, … |
| maximal quotient of | C8×D2264, #49120092, #49120147, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 633);