Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C449 ⋊ C2 |
| Sylow | C449 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
Polycyclic presentation:
2^5,449|a^2=d,d^2=e,c^b=ce,f^c=f^4483604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43271790, #43271792, #43272122, … |
| maximal normal subgroup of | #43271790, #43271792, #43272122, … |
| maximal quotient of | #43271961, #43271962, #43271972, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 152);