Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C73 ⋊ #1298 |
190 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=d,b^2=e,c^2=f,d^2=f,e^2=f,b^a=bc,c^a=cf,e^a=efg,c^b=cg,h^b=h^721046 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32973476, #32973477, #32973584, … |
| maximal normal subgroup of | #32973476, #32973477, #32973584, … |
| maximal quotient of | #32972537, #32972545, #32972569, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 2397);