Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D29 |
| Fitting | C2×Q8×C29 ⋊ C2 |
| Sylow | C29 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #101×D29, #103×D29, #14271170, … |
| maximal normal subgroup of | #101×D29, #103×D29, #14271170, … |
| maximal quotient of | C2×C4⋊C4×D29, C4×Q8×D29, C2×#11745249, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 219);