Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| isoclinism | isoclinic class of #90782 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#90783 |
| Sylow | C29 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#90783, #14271254, #14271260, … |
| maximal normal subgroup of | C4×#90783, #14271254, #14271260, … |
| maximal quotient of | C2×#11745180, C2×#11745158, C2×#11745156, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 154);