Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic152 |
| Sylow | C19 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
310 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14561815, #14561817, #14561827, … |
| maximal normal subgroup of | #14561815, #14561817, #14561827, … |
| maximal quotient of | C2×#11926349, C2×#11926370, C4×Dic152, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 977);