Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D4×#13062438 |
| Fitting | D4×C337 ⋊ C4 |
| Sylow | C337 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
440 conjugacy classes — view the full character table.
| maximal subgroup of | D8×#13062438, SD16×#13062438, #36342344, … |
| maximal normal subgroup of | D8×#13062438, SD16×#13062438, #36342344, … |
| maximal quotient of | C22⋊C4×#13062438, C4⋊C4×#13062438, #36342252, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 226);