Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C307 ⋊ SD32 |
26 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,307|a^2=e,c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^306,c^b=cd,d^b=de1082 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD32×D307, C2×#23754204, #34088316, … |
| maximal normal subgroup of | SD32×D307, C2×#23754204, #34088316, … |
| maximal quotient of | #34087688, #34087690, #34087714, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 90);