Finite Group DatabasebetaFinite Group Databasebeta| order | 880 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C5×C11 ⋊ SD16 |
| Sylow | C11 ⋊ #687 |
| Sylow | C5 ⋊ #4325 |
40 conjugacy classes of subgroups.
| minimal degree | μ(G) = 24 |
| transitive degree | μt(G) = 440 |
Polycyclic presentation:
2^4,5,11|b^2=d,c^2=d,b^a=bc,c^a=cd,f^a=f^10,c^b=cd,e^b=e^482 conjugacy classes — view the full character table.
| maximal subgroup of | #13182672, #13182674, #13182694, … |
| maximal normal subgroup of | #13182672, #13182674, #13182694, … |
| maximal quotient of | #13182293, #13182301, #13182315, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(880, 42);