Finite Group DatabasebetaFinite Group Databasebeta| order | 24256 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #97×C379 ⋊ C2 |
| Sylow | C379 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12128 |
Polycyclic presentation:
2^6,379|a^2=d,b^2=e,d^2=f,c^a=cf,g^b=g^378,g^c=g^3783820 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24256, 501);