Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153330 |
| Fitting | C2×C8×C359 ⋊ C2 |
| Sylow | C359 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
2878 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37526530, C4×#19153330, #37526542, … |
| maximal normal subgroup of | #37526530, C4×#19153330, #37526542, … |
| maximal quotient of | C2×#26039937, C2×#26039940, C2×#26039947, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 161);