Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1436 |
| Sylow | C359 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
2878 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37526246, #37526248, #37526258, … |
| maximal normal subgroup of | #37526246, #37526248, #37526258, … |
| maximal quotient of | C2×#26039940, C2×#26039949, C4×Dic1436, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 164);