Finite Group DatabasebetaFinite Group Databasebeta| order | 10928 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1366 |
| unambiguous semidirect product | (C2×C683)⋊Q8 |
| Sylow | C683 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
2738 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36345934, #36345939, #36345941, … |
| maximal normal subgroup of | #36345934, #36345939, #36345941, … |
| maximal quotient of | C2×Dic683⋊C4, C2×C4⋊Dic683, C4×Dic1366, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10928, 38);