Finite Group DatabasebetaFinite Group Databasebeta| order | 12352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×C4×C193 ⋊ C4 |
| Sylow | C193 ⋊ #381 |
218 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,193|a^2=f,c^2=d,b^a=bd,c^a=ce,g^a=g^112,g^f=g^192796 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12352, 1492);