Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C277 ⋊ #504 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8864 |
Polycyclic presentation:
2^6,277|a^2=d,d^2=e,e^2=f,g^a=g^276,c^b=cf2800 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47985001, #47985004, #47985006, … |
| maximal normal subgroup of | #47985001, #47985004, #47985006, … |
| maximal quotient of | #47984764, #47984781, #47984926, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 966);