Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D29⋊M16 |
| Sylow | C29 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 232 |
Polycyclic presentation:
2^5,29|a^2=d,b^2=e,d^2=e,c^a=ce,f^a=f^12,f^d=f^2876 conjugacy classes — view the full character table.
| maximal subgroup of | #14272030, #14272032, #14272034, … |
| maximal normal subgroup of | #14272030, #14272032, #14272034, … |
| maximal quotient of | #14272122, C4×#90800, C4×#90796, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 201);