Finite Group DatabasebetaFinite Group Databasebeta| order | 25664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C8×C401 ⋊ C2 |
| Sylow | C401 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12832 |
Polycyclic presentation:
2^6,401|a^2=e,c^2=e,e^2=f,b^a=bd,g^b=g^400,g^c=g^4004040 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25664, 614);