Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20301774 |
| Sylow | C463 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7408 |
3716 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44444549, C463⋊#338, #44444552, … |
| maximal normal subgroup of | #44444549, C463⋊#338, #44444552, … |
| maximal quotient of | C2×#28414569, C4×#20301774, C2×C22⋊(C463⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 151);