Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#22579821 |
| Fitting | C2×D8×C277 ⋊ C2 |
| Sylow | C277 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8864 |
1954 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47985011, C4×#22579821, #47985040, … |
| maximal normal subgroup of | #47985011, C4×#22579821, #47985040, … |
| maximal quotient of | C2×#31799802, C2×#31799803, C2×#31799827, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 969);