Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C4⋊#6599 |
| Sylow | C29 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
Polycyclic presentation:
2^5,29|a^2=c,b^2=d,c^2=e,b^a=bd,f^a=f^12,f^c=f^2876 conjugacy classes — view the full character table.
| maximal subgroup of | D4⋊#6599, #14272011, Q8⋊#6599, … |
| maximal normal subgroup of | D4⋊#6599, #14272011, Q8⋊#6599, … |
| maximal quotient of | #14272024, #14272026, #14272029, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 76);