Finite Group DatabasebetaFinite Group Databasebeta| order | 880 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C11 · Schur multiplier (H2) = C23 |
| direct product | C2×C11×C22⋊D5 |
| unambiguous semidirect product | C23⋊(D5×C11) |
| Fitting | C23×C5×C11 ⋊ C2 |
| Hall | C5×C11 ⋊ C2×D4 |
| Sylow | C5 ⋊ C2×D4×C11 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 440 |
286 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #13182325, C11×#3938, C11×#4011, … |
| maximal normal subgroup of | #13182325, C11×#3938, C11×#4011, … |
| maximal quotient of | C2×C11×#683, C11×#4070, C2×C11×#685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(880, 195);