Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153328 |
| Fitting | C2×Q8×C359 ⋊ C2 |
| Sylow | C359 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37526528, C4×#19153328, #37526541, … |
| maximal normal subgroup of | #37526528, C4×#19153328, #37526541, … |
| maximal quotient of | C2×#26039935, C2×#26039939, C2×#26039946, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 159);