Finite Group DatabasebetaFinite Group Databasebeta| order | 1216 |
| isoclinism | isoclinic class of #64525 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#64528 |
| Sylow | C19 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #14562439, C8×#64528, #14562451, … |
| maximal normal subgroup of | #14562439, C8×#64528, #14562451, … |
| maximal quotient of | C8×#64528, #14562483, #14562485, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1216, 642);