Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C307 ⋊ C2 |
| Sylow | C307 ⋊ #131 |
62 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,307|a^2=d,d^2=e,c^b=ce,f^c=f^3062468 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34087670, #34087672, #34088002, … |
| maximal normal subgroup of | #34087670, #34087672, #34088002, … |
| maximal quotient of | #34087841, #34087842, #34087852, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 152);