Finite Group DatabasebetaFinite Group Databasebeta| order | 28192 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#20296500 |
| unambiguous semidirect product | (C2×#20296500)⋊C2 |
| Fitting | C22×C881 ⋊ C8 |
| Sylow | C881 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3524 |
Polycyclic presentation:
2^5,881|a^2=d,d^2=e,b^a=bc,f^a=f^662,f^d=f^387,f^e=f^880460 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28192, 238);