Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #99×C281 ⋊ C2 |
| Sylow | C281 ⋊ #353 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2248 |
Polycyclic presentation:
2^6,281|a^2=d,c^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=cf,d^b=def,g^b=g^280,d^c=df1553 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #353×D281, C2×#31823255, #49096966, … |
| maximal normal subgroup of | #353×D281, C2×#31823255, #49096966, … |
| maximal quotient of | #49093234, #49093248, #49093299, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 341);