Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#10597255 |
| Fitting | C2×C16×C19 ⋊ C2 |
| Sylow | C19 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14561774, C4×#10597255, #14565228, … |
| maximal normal subgroup of | #14561774, C4×#10597255, #14565228, … |
| maximal quotient of | C2×#11926319, C4×#10597255, C2×(C2×D19)⋊C16, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 963);