Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C349 ⋊ C2 |
| Sylow | C349 ⋊ #123 |
78 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,349|c^2=d,b^a=bd,c^a=ce,f^a=f^348,f^c=f^3481754 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36374335, #123×D349, C2×#26013623, … |
| maximal normal subgroup of | #36374335, #123×D349, C2×#26013623, … |
| maximal quotient of | #36374005, #36374019, #36374021, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 130);