Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| isoclinism | isoclinic class of Dic38 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#64520 |
| Sylow | C19 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 608 |
328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14561471, #14561472, #14561484, … |
| maximal normal subgroup of | #14561471, #14561472, #14561484, … |
| maximal quotient of | C8×#64520, #14561924, #14561932, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 502);