Finite Group DatabasebetaFinite Group Databasebeta| order | 11744 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1468 |
| Fitting | C42×C367 ⋊ C2 |
| Sylow | C367 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37553913, #37553915, #37554251, … |
| maximal normal subgroup of | #37553913, #37553915, #37554251, … |
| maximal quotient of | C4×(C2×D367)⋊C4, C4×C4⋊Dic367, #37554060, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11744, 110);