Finite Group DatabasebetaFinite Group Databasebeta| order | 12352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C8×#11715871 |
| Fitting | C2×C8×C193 ⋊ C4 |
| derived, Sylow | C193 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
832 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12352, 1503);