Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1852 |
| Sylow | C463 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14816 |
3710 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44444596, #44444598, #44444608, … |
| maximal normal subgroup of | #44444596, #44444598, #44444608, … |
| maximal quotient of | C2×#28414583, C2×#28414592, C4×Dic1852, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 164);