Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C281 ⋊ #347 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4496 |
Polycyclic presentation:
2^6,281|a^2=c,b^2=d,c^2=e,e^2=f,b^a=be,d^a=df,g^a=g^280,c^b=cf2822 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093335, #49093336, #49093337, … |
| maximal normal subgroup of | #49093335, #49093336, #49093337, … |
| maximal quotient of | #49093224, #49093383, C2×#31823241 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 327);