Finite Group DatabasebetaFinite Group Databasebeta| order | 13648 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1706 |
| unambiguous semidirect product | (C2×C853)⋊Q8 |
| Sylow | C853 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13648 |
3418 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #41030887, #41030892, #41030894, … |
| maximal normal subgroup of | #41030887, #41030892, #41030894, … |
| maximal quotient of | C2×#28331479, C2×C4⋊Dic853, C4×Dic1706, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13648, 38);