Finite Group DatabasebetaFinite Group Databasebeta| order | 14176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D443 |
| Fitting | Q16×C443 ⋊ C2 |
| Sylow | C443 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7088 |
1561 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD32×D443, Q32×D443, #43248156, … |
| maximal normal subgroup of | SD32×D443, Q32×D443, #43248156, … |
| maximal quotient of | #103×D443, #107×D443, #43247809, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14176, 162);