Finite Group DatabasebetaFinite Group Databasebeta| order | 2624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C41 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1312 |
Polycyclic presentation:
2^6,41|a^2=d,b^2=e,d^2=f,g^a=g^40,c^b=cf440 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2624, 505);