Finite Group DatabasebetaFinite Group Databasebeta| order | 24256 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4⋊Q8×C379 ⋊ C2 |
| Sylow | C379 ⋊ #486 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12128 |
Polycyclic presentation:
2^6,379|b^2=e,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^378,g^b=g^378,g^c=g^3782668 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24256, 897);