Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19154561 |
| Sylow | C367 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37553942, C367⋊#338, #37553945, … |
| maximal normal subgroup of | #37553942, C367⋊#338, #37553945, … |
| maximal quotient of | C2×#26044172, C4×#19154561, C2×C22⋊(C367⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 151);