Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D3592 |
| Fitting | C2×C8×C449 ⋊ C2 |
| Sylow | C449 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
3598 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43271807, #43271809, #43271819, … |
| maximal normal subgroup of | #43271807, #43271809, #43271819, … |
| maximal quotient of | C2×#28385262, C2×#28385274, C4×D3592, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 157);