Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19154560 |
| Fitting | C2×C8×C367 ⋊ C2 |
| Sylow | C367 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37553967, C4×#19154560, #37554138, … |
| maximal normal subgroup of | #37553967, C4×#19154560, #37554138, … |
| maximal quotient of | C2×#26044171, C4×#19154560, C2×(C2×D367)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 150);