Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D449 |
| Fitting | Q16×C449 ⋊ C2 |
| Sylow | C449 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
1582 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD32×D449, Q32×D449, #43272446, … |
| maximal normal subgroup of | SD32×D449, Q32×D449, #43272446, … |
| maximal quotient of | #103×D449, #107×D449, #43272099, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 162);