Finite Group DatabasebetaFinite Group Databasebeta| order | 27008 |
| 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:
2^7,211|a^2=e,b^2=d,c^2=d,e^2=g,f^2=g,b^a=bd,c^a=ce,h^a=h^210,c^b=cf,f^b=fg,h^b=h^210,e^c=eg,f^c=fgCharacter table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27008, 6019);