Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| isoclinism | isoclinic class of #90773 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#90773 |
| Fitting | C2×C8×C29 ⋊ C2 |
| Sylow | C29 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
238 conjugacy classes — view the full character table.
| maximal subgroup of | #14271250, C4×#90773, #14271262, … |
| maximal normal subgroup of | #14271250, C4×#90773, #14271262, … |
| maximal quotient of | C2×#11745169, C2×#11745164, C2×#11745165, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 123);