Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C37 ⋊ #106 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^5,37|a^2=d,b^2=c,c^2=e,b^a=bc,c^a=ce,f^a=f^36302 conjugacy classes — view the full character table.
| maximal subgroup of | #14557343, #14557344, #14557356, … |
| maximal normal subgroup of | #14557343, #14557344, #14557356, … |
| maximal quotient of | #14557284, #14557296, #14557356, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 78);