Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C349 ⋊ C4 |
| Sylow | C349 ⋊ #99 |
52 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,349|a^2=d,b^a=bc,c^a=ce,f^a=f^213,d^b=de,f^b=f^348,f^d=f^348707 conjugacy classes — view the full character table.
| maximal subgroup of | #36375048, #36375049, #36375050, … |
| maximal normal subgroup of | #36375048, #36375049, #36375050, … |
| maximal quotient of | #36374988, #36374989, #36374996, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 205);