Finite Group DatabasebetaFinite Group Databasebeta| order | 12224 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1528 |
| Sylow | C191 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
3062 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37570700, #37570702, #37570712, … |
| maximal normal subgroup of | #37570700, #37570702, #37570712, … |
| maximal quotient of | C2×#27132468, C2×#27132489, C4×Dic1528, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12224, 977);