Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20301778 |
| Sylow | C463 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7408 |
2324 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#20301778, #44444884, #44444890, … |
| maximal normal subgroup of | C4×#20301778, #44444884, #44444890, … |
| maximal quotient of | C2×#28414579, C2×#28414581, C2×#28414589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 160);