Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C37 ⋊ #108 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^5,37|a^2=d,b^2=c,c^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^31,f^b=f^36,f^d=f^3686 conjugacy classes — view the full character table.
| maximal subgroup of | #14558447, #14558448, #14558461, … |
| maximal normal subgroup of | #14558447, #14558448, #14558461, … |
| maximal quotient of | #14558395, #14558396, #14558409, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 217);