Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C73 ⋊ #3342 |
340 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|a^2=e,b^2=g,c^2=eg,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^72,d^b=de,f^c=fg,h^c=h^721475 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32999581, #32999585, #32999609, … |
| maximal normal subgroup of | #32999581, #32999585, #32999609, … |
| maximal quotient of | #33102262, #33103650, #33104129, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 16941);