Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C42×C37 ⋊ C2 |
| Sylow | C37 ⋊ #104 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 296 |
Polycyclic presentation:
2^5,37|a^2=d,c^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^36,c^b=ce,f^b=f^36302 conjugacy classes — view the full character table.
| maximal subgroup of | #104×D37, C2×#11924464, #14557548, … |
| maximal normal subgroup of | #104×D37, C2×#11924464, #14557548, … |
| maximal quotient of | #14557262, #14557265, #14557266, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 74);