Finite Group DatabasebetaFinite Group Databasebeta| order | 17488 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1093 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8744 |
Polycyclic presentation:
2^4,1093|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^1092,c^b=cd2737 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D1093, C2×#31775781, #46854126, … |
| maximal normal subgroup of | SD16×D1093, C2×#31775781, #46854126, … |
| maximal quotient of | #46854028, #46854030, #46854038, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17488, 28);