Finite Group DatabasebetaFinite Group Databasebeta| order | 22112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#26010851 |
| Fitting | C2×D4×C691 ⋊ C2 |
| Sylow | C691 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11056 |
3464 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22112, 156);