Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C307 ⋊ C22⋊Q8 |
74 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,307|a^2=d,b^2=d,b^a=bd,c^a=ce,f^b=f^3061544 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊Q8×D307, C2×#23754237, #34088393, … |
| maximal normal subgroup of | C22⋊Q8×D307, C2×#23754237, #34088393, … |
| maximal quotient of | #34087745, #34087759, #34087762, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 123);