Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| isoclinism | isoclinic class of #90796 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#90800 |
| Sylow | C29 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
76 conjugacy classes — view the full character table.
| maximal subgroup of | #14272043, #14272044, C4×#90800, … |
| maximal normal subgroup of | #14272043, #14272044, C4×#90800, … |
| maximal quotient of | C2×#11745218, C4×#90800, C2×C22⋊#6599, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 210);