Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | Dic307⋊C8 |
| Sylow | C307 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,307|a^2=d,b^2=c,d^2=e,b^a=bc,f^b=f^3062468 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4⋊C8×D307, C2×Dic307⋊C8, #34087909, … |
| maximal normal subgroup of | C4⋊C8×D307, C2×Dic307⋊C8, #34087909, … |
| maximal quotient of | #34087637, #34087639, #34087641, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 75);