Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C37 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^5,37|a^2=d,d^2=e,b^a=bc,f^a=f^31,f^b=f^36,f^d=f^3692 conjugacy classes — view the full character table.
| maximal subgroup of | #14558384, #14558385, #14558386, … |
| maximal normal subgroup of | #14558384, #14558385, #14558386, … |
| maximal quotient of | #14558377, #14558379, #14558381, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 203);