Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| isoclinism | isoclinic class of Dic38 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×Dic19⋊C4 |
| Sylow | C19 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | Dic19⋊#95, #14561866, #14561868, … |
| maximal normal subgroup of | Dic19⋊#95, #14561866, #14561868, … |
| maximal quotient of | C22×C19⋊#95, C2×C4×Dic19⋊C4, C2×#11926402, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 999);