Finite Group DatabasebetaFinite Group Databasebeta| order | 1104 |
| isoclinism | isoclinic class of #213 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C23 · Schur multiplier (H2) = C2 |
| direct product | C23×#213 |
| Fitting | C3×D4×C23 ⋊ C2 |
| Hall | C3×C23 ⋊ D8 |
| Sylow | C3 ⋊ D8×C23 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 552 |
276 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1104, 58);