Finite Group DatabasebetaFinite Group Databasebeta| order | 1104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C23 · Schur multiplier (H2) = C22 |
| direct product | D3×Q8×C23 |
| Fitting | C3×Q8×C23 ⋊ C2 |
| Hall | C3×C23 ⋊ C2×Q8 |
| Sylow | C3 ⋊ C2×Q8×C23 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 552 |
345 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1104, 142);