Finite Group DatabasebetaFinite Group Databasebeta| order | 28096 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C8×C439 ⋊ C2 |
| Sylow | C439 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14048 |
Polycyclic presentation:
2^6,439|a^2=e,c^2=e,e^2=f,b^a=bd,g^b=g^438,g^c=g^4384420 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28096, 614);