Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#10597283 |
| Fitting | C2×D8×C19 ⋊ C2 |
| Sylow | C19 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #14565479, C4×#10597283, #14565508, … |
| maximal normal subgroup of | #14565479, C4×#10597283, #14565508, … |
| maximal quotient of | C2×#11926344, C2×#11926345, C2×#11926369, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 969);