Finite Group DatabasebetaFinite Group Databasebeta| order | 12352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#20259967 |
| unambiguous semidirect product | D193⋊#106 |
| Fitting | C2×C8×C193 ⋊ C4 |
| Sylow | C193 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
796 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12352, 1557);