Finite Group DatabasebetaFinite Group Databasebeta| order | 11168 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19150216 |
| Fitting | C2×C8×C349 ⋊ C2 |
| Sylow | C349 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
2804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36373925, C4×#19150216, #36374096, … |
| maximal normal subgroup of | #36373925, C4×#19150216, #36374096, … |
| maximal quotient of | C2×#26013549, C4×#19150216, C2×#26013551, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11168, 150);