Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10597274 |
| Sylow | C19 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
316 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14561734, #14561735, #14561740, … |
| maximal normal subgroup of | #14561734, #14561735, #14561740, … |
| maximal quotient of | C2×#11926295, #14562391, #14562406, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 580);