Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D19 |
| Fitting | C19×#108 ⋊ C2 |
| Sylow | C19 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 304 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | D19×#359, #14565361, D19×#361, … |
| maximal normal subgroup of | D19×#359, #14565361, D19×#361, … |
| maximal quotient of | D19×#334, D19×#335, #14562380, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 593);