Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic734 |
| Sylow | C367 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37554090, #37554091, #37554092, … |
| maximal normal subgroup of | #37554090, #37554091, #37554092, … |
| maximal quotient of | C22×Dic367⋊C4, C22×C4⋊Dic367, C2×C4×Dic734, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 186);