Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | #117×C73 ⋊ C4 |
| Sylow | C73 ⋊ #1740 |
420 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,73|a^2=e,b^2=f,c^2=g,b^a=bd,d^a=dg,e^b=eg,h^b=h^27,h^f=h^72404 conjugacy classes — view the full character table.
| maximal subgroup of | #34008310, #34008311, #34008512, … |
| maximal normal subgroup of | #34008310, #34008311, #34008512, … |
| maximal quotient of | #34002208, #34002214, #34002220, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20208);