Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C281 ⋊ #462 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
Polycyclic presentation:
2^6,281|a^2=f,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^280,e^c=ef,g^c=g^2802819 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49094490, #49094492, #49094497, … |
| maximal normal subgroup of | #49094490, #49094492, #49094497, … |
| maximal quotient of | #49094686, #49094698, #49094708, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 760);