Finite Group DatabasebetaFinite Group Databasebeta| order | 17488 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1093 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8744 |
Polycyclic presentation:
2^4,1093|a^2=c,c^2=d,b^a=bd,e^a=e^563,e^b=e^1092,e^c=e^10921102 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46854171, #46854172, #46854177, … |
| maximal normal subgroup of | #46854171, #46854172, #46854177, … |
| maximal quotient of | #46854162, #46854164, C4⋊#22576727, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17488, 50);