Finite Group DatabasebetaFinite Group Databasebeta| order | 14048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C439 ⋊ #137 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7024 |
Polycyclic presentation:
2^5,439|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,d^b=de,f^b=f^4382201 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43243782, #43243783, #43243787, … |
| maximal normal subgroup of | #43243782, #43243783, #43243787, … |
| maximal quotient of | #43243605, #43243612, #43243647, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14048, 176);