Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1468 |
| Sylow | C367 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
2942 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37553989, #37553991, #37554001, … |
| maximal normal subgroup of | #37553989, #37553991, #37554001, … |
| maximal quotient of | C2×#26044186, C2×#26044195, C4×Dic1468, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 164);