Finite Group DatabasebetaFinite Group Databasebeta| order | 17456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1091 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8728 |
Polycyclic presentation:
2^4,1091|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^1090,c^b=cd2732 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D1091, C2×#31775396, #46853453, … |
| maximal normal subgroup of | SD16×D1091, C2×#31775396, #46853453, … |
| maximal quotient of | #46853355, #46853357, #46853365, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17456, 28);