Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4⋊C4×D29 |
| Fitting | C4⋊C4×C29 ⋊ C2 |
| Sylow | C29 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #102×D29, #103×D29, #14271161, … |
| maximal normal subgroup of | #102×D29, #103×D29, #14271161, … |
| maximal quotient of | #95×D29, #14271014, C4⋊C4×Dic29, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 112);