Finite Group DatabasebetaFinite Group Databasebeta| order | 880 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C5×C11 ⋊ M16 |
| Sylow | C11 ⋊ #681 |
| Sylow | C5 ⋊ #4318 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 440 |
Polycyclic presentation:
2^4,5,11|a^2=c,c^2=d,b^a=bd,e^a=e^4,f^a=f^10226 conjugacy classes — view the full character table.
| maximal subgroup of | #13182287, #13182288, #13182290, … |
| maximal normal subgroup of | #13182287, #13182288, #13182290, … |
| maximal quotient of | #13182415, C4⋊(C11⋊#168), C22⋊(C11⋊#168), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(880, 96);