Finite Group DatabasebetaFinite Group Databasebeta| order | 10768 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1346 |
| unambiguous semidirect product | (C2×C673)⋊Q8 |
| Sylow | C673 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
2698 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36340395, #36340400, #36340402, … |
| maximal normal subgroup of | #36340395, #36340400, #36340402, … |
| maximal quotient of | C2×#24924622, C2×C4⋊Dic673, C4×Dic1346, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10768, 38);