Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C449 ⋊ C2 |
| Sylow | C449 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
Polycyclic presentation:
2^5,449|a^2=d,c^2=e,b^a=bc,c^a=ce,f^a=f^448,c^b=ce,f^b=f^4483598 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #102×D449, C2×#28385262, #43272002, … |
| maximal normal subgroup of | #102×D449, C2×#28385262, #43272002, … |
| maximal quotient of | #43271736, #43271742, #43271750, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 68);