Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C277 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8864 |
Polycyclic presentation:
2^6,277|a^2=d,b^2=e,d^2=f,g^a=g^276,c^b=cf2800 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47982921, #47982966, #47982969, … |
| maximal normal subgroup of | #47982921, #47982966, #47982969, … |
| maximal quotient of | #47981448, #47981451, #47981457, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 505);