Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M16×C449 ⋊ C2 |
| Sylow | C449 ⋊ #104 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3592 |
Polycyclic presentation:
2^5,449|a^2=d,c^2=e,d^2=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^4482254 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #104×D449, C2×#28385266, #43272022, … |
| maximal normal subgroup of | #104×D449, C2×#28385266, #43272022, … |
| maximal quotient of | #43271734, #43271737, #43271742, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 72);