Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1852 |
| Fitting | C42×C463 ⋊ C2 |
| Sylow | C463 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7408 |
3716 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44444520, #44444522, #44444858, … |
| maximal normal subgroup of | #44444520, #44444522, #44444858, … |
| maximal quotient of | C4×(C2×D463)⋊C4, C4×C4⋊Dic463, #44444667, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 110);