Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| isoclinism | isoclinic class of #90782 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#90785 |
| Sylow | C29 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | #14271255, C4×#90785, #14271267, … |
| maximal normal subgroup of | #14271255, C4×#90785, #14271267, … |
| maximal quotient of | C2×#11745158, C2×#11745183, C2×#11745155, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 164);