Finite Group DatabasebetaFinite Group Databasebeta| order | 10928 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C683 ⋊ Q16 |
18 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,683|a^2=d,b^2=d,c^2=d,b^a=bc,c^a=cd,c^b=cd,e^b=e^6821712 conjugacy classes. The character table is too large to display.
| maximal subgroup of | Q16×D683, C2×#24926411, #36346036, … |
| maximal normal subgroup of | Q16×D683, C2×#24926411, #36346036, … |
| maximal quotient of | #36345939, #36345940, #36345949, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10928, 30);