Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | #102×D277 |
| Fitting | #102×C277 ⋊ C2 |
| Sylow | C277 ⋊ C2×#102 |
202 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 4432 |
1960 conjugacy classes. The character table is too large to display.
| maximal quotient of | D4⋊C8×D277, #47981564, #47981590, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 534);