Finite Group DatabasebetaFinite Group Databasebeta| order | 880 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C5 · Schur multiplier (H2) = C23 |
| direct product | C2×C5×D44 |
| Fitting | C2×C4×C5×C11 ⋊ C2 |
| Hall | C5×C11 ⋊ C2×D4 |
| Sylow | C11 ⋊ C2×C5×D4 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 440 |
250 conjugacy classes — view the full character table.
| maximal subgroup of | #13182287, #13182293, #13182294, … |
| maximal normal subgroup of | #13182287, #13182293, #13182294, … |
| maximal quotient of | C5×#66922, C4×C5×D44, C5×#66927, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(880, 178);