Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C37 ⋊ C4 |
| Sylow | C37 ⋊ #106 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 296 |
Polycyclic presentation:
2^5,37|a^2=d,b^2=c,c^2=e,b^a=bc,c^a=ce,f^a=f^31,f^d=f^3686 conjugacy classes — view the full character table.
| maximal subgroup of | #14558449, #14558450, #14558457, … |
| maximal normal subgroup of | #14558449, #14558450, #14558457, … |
| maximal quotient of | #14558394, #14558395, #14558407, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 214);