Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C73 ⋊ #3380 |
352 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 133 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=eg,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=de,h^b=h^72,f^c=fg1043 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32999680, #32999684, #32999708, … |
| maximal normal subgroup of | #32999680, #32999684, #32999708, … |
| maximal quotient of | #33102578, D8×C4⋊Dic73, #33104392, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 17375);