Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C281 ⋊ #376 |
178 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
Polycyclic presentation:
2^6,281|a^2=e,b^2=f,c^2=d,b^a=bd,g^b=g^2804520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093131, #49093195, #49093197, … |
| maximal normal subgroup of | #49093131, #49093195, #49093197, … |
| maximal quotient of | C4×#22582786, #49093528, #49093530, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 395);