Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D349 |
| Fitting | Q16×C349 ⋊ C2 |
| Sylow | C349 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD32×D349, Q32×D349, #36374583, … |
| maximal normal subgroup of | SD32×D349, Q32×D349, #36374583, … |
| maximal quotient of | #103×D349, #107×D349, #36374236, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 162);