Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153329 |
| Sylow | C359 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19153329, #37526534, #37526540, … |
| maximal normal subgroup of | C4×#19153329, #37526534, #37526540, … |
| maximal quotient of | C2×#26039936, C2×#26039938, C2×#26039946, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 160);