Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C349 ⋊ #131 |
62 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,349|a^2=d,d^2=e,f^a=f^213,c^b=ce,f^d=f^348455 conjugacy classes — view the full character table.
| maximal subgroup of | #36375186, #36375187, #36375189, … |
| maximal normal subgroup of | #36375186, #36375187, #36375189, … |
| maximal quotient of | #36375108, #36375109, #36375117, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 233);