Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C307 ⋊ #101 |
38 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,307|a^2=d,b^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^306,d^b=de1541 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34087683, #34087684, #34087685, … |
| maximal normal subgroup of | #34087683, #34087684, #34087685, … |
| maximal quotient of | #34087613, #34087629, #34087633, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 65);