Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#22579820 |
| Sylow | C277 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8864 |
4456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47981246, #47981247, #47981248, … |
| maximal normal subgroup of | #47981246, #47981247, #47981248, … |
| maximal quotient of | C2×#31799778, C4×#22579820, C2×C22⋊#17984538, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 964);