Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C281 ⋊ H(3,ℤ/4) |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4496 |
Polycyclic presentation:
2^6,281|a^2=d,b^2=e,c^2=f,b^a=bc,e^a=ef,d^b=df,g^b=g^2802822 conjugacy classes. The character table is too large to display.
| maximal subgroup of | H(3,ℤ/4)×D281, C2×#31823219, #49095057, … |
| maximal normal subgroup of | H(3,ℤ/4)×D281, C2×#31823219, #49095057, … |
| maximal quotient of | #49093131, #49093132, #49093133, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 305);