Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1348 |
| Sylow | C337 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
2702 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341108, #36341110, #36341120, … |
| maximal normal subgroup of | #36341108, #36341110, #36341120, … |
| maximal quotient of | C2×#24924884, C2×#24924893, C4×Dic1348, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 164);