Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#480 ⋊ C2 |
| Sylow | C43 ⋊ #3357 |
354 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,43|a^2=eg,b^2=g,c^2=eg,f^2=g,b^a=be,c^a=cf,d^a=dg,f^a=fg,c^b=cg,d^b=de,f^c=fg,h^d=h^42428 conjugacy classes — view the full character table.
| maximal subgroup of | D43×#3357, C2×#19147214, #25975352, … |
| maximal normal subgroup of | D43×#3357, C2×#19147214, #25975352, … |
| maximal quotient of | #25113039, #25113055, #25114322, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 17129);