Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic19 |
| Sylow | C19 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | #14565484, SD32×Dic19, #14565491, … |
| maximal normal subgroup of | #14565484, SD32×Dic19, #14565491, … |
| maximal quotient of | Q16×C19⋊C8, #14562486, #14562532, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 644);