Finite Group DatabasebetaFinite Group Databasebeta| order | 28544 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C2 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^7,223|a^2=d,b^2=g,c^2=efg,d^2=g,e^2=fg,f^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,h^a=h^222,c^b=ceg,d^b=dg,e^b=ef,f^b=fg,h^b=h^222Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28544, 2704);