Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| isoclinism | isoclinic class of Dic38 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C4×Dic38 |
| Sylow | C19 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14561958, #14561978, C2×#11926274, … |
| maximal normal subgroup of | #14561958, #14561978, C2×#11926274, … |
| maximal quotient of | C2×C4×C4⋊Dic19, C2×C4×Dic19⋊C4, C42×Dic38, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 1014);