Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#20301775 |
| Fitting | C2×D4×C463 ⋊ C2 |
| Sylow | C463 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7408 |
2324 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44444873, C4×#20301775, #44444902, … |
| maximal normal subgroup of | #44444873, C4×#20301775, #44444902, … |
| maximal quotient of | C2×#28414578, C2×#28414579, C2×#28414591, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 156);