Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1796 |
| Fitting | C42×C449 ⋊ C2 |
| Sylow | C449 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
3604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43271734, #43271736, #43272072, … |
| maximal normal subgroup of | #43271734, #43271736, #43272072, … |
| maximal quotient of | C4×#20297713, C4×C4⋊Dic449, #43271881, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 110);