Finite Group DatabasebetaFinite Group Databasebeta| order | 12256 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20259445 |
| Sylow | C383 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1924 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#20259445, #37588442, #37588448, … |
| maximal normal subgroup of | C4×#20259445, #37588442, #37588448, … |
| maximal quotient of | C2×#27133762, C2×#27133764, C2×#27133772, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12256, 160);