Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C281 ⋊ #418 |
190 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4496 |
Polycyclic presentation:
2^6,281|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^280,c^b=cf,d^b=df2822 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49095270, #49095273, #49095681, … |
| maximal normal subgroup of | #49095270, #49095273, #49095681, … |
| maximal quotient of | #49093694, #49093720, #49093746, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 554);