Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C37 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^5,37|a^2=e,c^2=d,b^a=bd,f^a=f^36308 conjugacy classes — view the full character table.
| maximal subgroup of | #14557289, #14557290, #14557293, … |
| maximal normal subgroup of | #14557289, #14557290, #14557293, … |
| maximal quotient of | #14557379, C4×C22⋊Dic37, C4×C4⋊Dic37, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 105);