Finite Group DatabasebetaFinite Group Databasebeta| order | 1504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 752 |
Polycyclic presentation:
2^5,47|a^2=d,d^2=e,c^b=ce,f^c=f^46388 conjugacy classes — view the full character table.
| maximal subgroup of | #15688906, #15688908, #15689238, … |
| maximal normal subgroup of | #15688906, #15688908, #15689238, … |
| maximal quotient of | #15689077, #15689078, #15689088, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1504, 152);