Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C307 ⋊ #97 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,307|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^3062468 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34087664, #97×D307, C2×#23754170, … |
| maximal normal subgroup of | #34087664, #97×D307, C2×#23754170, … |
| maximal quotient of | #34087608, #34087609, #34087641, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 56);