Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| isoclinism | isoclinic class of Dic38 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×C4⋊Dic19 |
| Sylow | C19 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14561474, #14561475, #14561490, … |
| maximal normal subgroup of | #14561474, #14561475, #14561490, … |
| maximal quotient of | C4×C19⋊#95, #14561862, #14561865, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 401);