Finite Group DatabasebetaFinite Group Databasebeta| order | 1104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic138 |
| Hall | C3×C23 ⋊ C2×Q8 |
| Sylow | C23 ⋊ C2×Dic6 |
| Sylow | C3 ⋊ C2×Dic46 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1104 |
282 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1104, 146);