Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×Q16×C73 ⋊ C2 |
| Sylow | C73 ⋊ #3177 |
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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=g,b^2=g,c^2=fg,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^b=h^721040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33241118, #33241120, #33241126, … |
| maximal normal subgroup of | #33241118, #33241120, #33241126, … |
| maximal quotient of | #33086552, #33090254, #33090258, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 15165);