Finite Group DatabasebetaFinite Group Databasebeta| order | 12352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×Q8×D193 |
| Fitting | C4×Q8×C193 ⋊ C2 |
| Sylow | C193 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
1960 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12352, 1012);