Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1396 |
| Sylow | C349 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
2798 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36373947, #36373949, #36373959, … |
| maximal normal subgroup of | #36373947, #36373949, #36373959, … |
| maximal quotient of | C2×#26013564, C2×#26013573, C4×Dic1396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 164);