Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| isoclinism | isoclinic class of #64516 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic76 |
| Sylow | C19 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
316 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14561598, #14561600, #14561604, … |
| maximal normal subgroup of | #14561598, #14561600, #14561604, … |
| maximal quotient of | C8×Dic76, #14562487, #14562533, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 645);