Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C281 ⋊ #336 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
Polycyclic presentation:
2^6,281|a^2=d,b^2=e,d^2=f,b^a=bc,g^b=g^2804520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #336×D281, C2×#31823217, #49094995, … |
| maximal normal subgroup of | #336×D281, C2×#31823217, #49094995, … |
| maximal quotient of | #49093130, #49093131, #49093133, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 303);