Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C37 ⋊ C4 |
| Sylow | C37 ⋊ #99 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 296 |
Polycyclic presentation:
2^5,37|a^2=d,b^a=bc,c^a=ce,f^a=f^31,d^b=de,f^b=f^36,f^d=f^3683 conjugacy classes — view the full character table.
| maximal subgroup of | #14558437, #14558438, #14558439, … |
| maximal normal subgroup of | #14558437, #14558438, #14558439, … |
| maximal quotient of | #14558377, #14558378, #14558385, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 205);