Finite Group DatabasebetaFinite Group Databasebeta| order | 880 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C11 · Schur multiplier (H2) = C22 |
| direct product | Q8×D5×C11 |
| Fitting | C5×Q8×C11 ⋊ C2 |
| Hall | C5×C11 ⋊ C2×Q8 |
| Sylow | C5 ⋊ C2×Q8×C11 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 440 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | C11×#4009, #13182656, D5×#4325, … |
| maximal normal subgroup of | C11×#4009, #13182656, D5×#4325, … |
| maximal quotient of | C11×#4033, C11×#4042, C11×#4034, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(880, 192);