Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C37 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^5,37|a^2=c,b^2=d,c^2=e,b^a=be,f^a=f^31,f^c=f^3692 conjugacy classes — view the full character table.
| maximal subgroup of | #14558388, #14558389, #14558390, … |
| maximal normal subgroup of | #14558388, #14558389, #14558390, … |
| maximal quotient of | #64438⋊C8, #14558399, #14558425, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 201);