Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C37 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^5,37|a^2=d,b^2=c,d^2=e,b^a=bc,f^b=f^36308 conjugacy classes — view the full character table.
| maximal subgroup of | C4⋊C8×D37, C2×#11924465, #14557555, … |
| maximal normal subgroup of | C4⋊C8×D37, C2×#11924465, #14557555, … |
| maximal quotient of | #14557283, #14557285, #14557287, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 75);