Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C29 ⋊ #101 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
Polycyclic presentation:
2^5,29|a^2=c,b^2=e,c^2=e,b^a=bd,d^a=de,f^a=f^12,c^b=ce,f^c=f^2867 conjugacy classes — view the full character table.
| maximal subgroup of | #14272071, #14272072, #14272073, … |
| maximal normal subgroup of | #14272071, #14272072, #14272073, … |
| maximal quotient of | #14272008, #14272009, #14272020, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 80);