Finite Group DatabasebetaFinite Group Databasebeta| order | 29888 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D4⋊(C467⋊C8) |
| Sylow | C467 ⋊ D4⋊C8 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14944 |
Polycyclic presentation:
2^6,467|a^2=d,c^2=e,d^2=f,b^a=bc,c^a=ce,g^a=g^466,c^b=ce4688 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29888, 277);