Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#6597 |
| Sylow | C29 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
Polycyclic presentation:
2^5,29|a^2=c,c^2=e,b^a=bd,f^a=f^28244 conjugacy classes — view the full character table.
| maximal subgroup of | #14270886, #14270887, #14270888, … |
| maximal normal subgroup of | #14270886, #14270887, #14270888, … |
| maximal quotient of | #14270887, #14270889, D4⋊#6597, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 37);