Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19150220 |
| Fitting | C2×Q8×C349 ⋊ C2 |
| Sylow | C349 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1754 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36374229, C4×#19150220, #36374242, … |
| maximal normal subgroup of | #36374229, C4×#19150220, #36374242, … |
| maximal quotient of | C2×#26013559, C2×#26013563, C2×#26013570, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 159);