Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C43 ⋊ #1376 |
148 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=d,b^2=e,c^2=g,d^2=f,f^2=g,b^a=bc,c^a=cg,e^a=eg,h^a=h^421400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #24983350, #24983351, #24983352, … |
| maximal normal subgroup of | #24983350, #24983351, #24983352, … |
| maximal quotient of | #24983429, #24983441, #24983448, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 2592);