Finite Group DatabasebetaFinite Group Databasebeta| order | 1104 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C23 · Schur multiplier (H2) = C23 |
| direct product | C2×C23×D12 |
| Fitting | C2×C3×C4×C23 ⋊ C2 |
| Hall | C3×C23 ⋊ C2×D4 |
| Sylow | C3 ⋊ C2×D4×C23 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 552 |
414 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1104, 138);