Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19096814 |
| Sylow | C307 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1544 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19096814, #34087978, #34087984, … |
| maximal normal subgroup of | C4×#19096814, #34087978, #34087984, … |
| maximal quotient of | C2×#23754181, C2×#23754183, C2×#23754191, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 160);