Finite Group DatabasebetaFinite Group Databasebeta| order | 40625 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C5 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
13,5^5|b^a=b^3c^4e^3f^2,c^a=b^3c^3de^3,d^a=b^4c^2def^3,e^a=b^3c^2d^2e,c^b=cf,e^b=ef,d^c=dfCharacter table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(40625, 78);