Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153331 |
| Sylow | C359 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37526535, C4×#19153331, #37526547, … |
| maximal normal subgroup of | #37526535, C4×#19153331, #37526547, … |
| maximal quotient of | C2×#26039938, C2×#26039939, C2×#26039948, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 163);