Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C37 ⋊ #103 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^5,37|a^2=d,b^2=e,c^2=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^36194 conjugacy classes — view the full character table.
| maximal subgroup of | #103×D37, C2×#11924459, #14557526, … |
| maximal normal subgroup of | #103×D37, C2×#11924459, #14557526, … |
| maximal quotient of | #14557263, #14557269, #14557278, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 69);