Finite Group DatabasebetaFinite Group Databasebeta| order | 12352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×D4×C193 ⋊ C4 |
| Sylow | C193 ⋊ #353 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,193|a^2=d,c^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^112,c^b=cf,d^b=def,d^c=df,g^d=g^192493 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12352, 1453);