Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#19096811 |
| Fitting | C2×D4×C307 ⋊ C2 |
| Sylow | C307 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
1544 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34087967, C4×#19096811, #34087996, … |
| maximal normal subgroup of | #34087967, C4×#19096811, #34087996, … |
| maximal quotient of | C2×#23754180, C2×#23754181, C2×#23754193, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 156);