Finite Group DatabasebetaFinite Group Databasebeta| order | 10544 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1318 |
| unambiguous semidirect product | (C2×C659)⋊Q8 |
| Sylow | C659 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
2642 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35231237, #35231242, #35231244, … |
| maximal normal subgroup of | #35231237, #35231242, #35231244, … |
| maximal quotient of | C2×Dic659⋊C4, C2×C4⋊Dic659, C4×Dic1318, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10544, 38);