Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic614 |
| Sylow | C307 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
2468 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34087617, #34087619, C4×#19096814, … |
| maximal normal subgroup of | #34087617, #34087619, C4×#19096814, … |
| maximal quotient of | C4×C4⋊Dic307, C4×Dic307⋊C4, #34087770, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 112);