Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19096809 |
| Fitting | C2×C8×C307 ⋊ C2 |
| Sylow | C307 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
2468 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34087668, C4×#19096809, #34087839, … |
| maximal normal subgroup of | #34087668, C4×#19096809, #34087839, … |
| maximal quotient of | C2×#23754170, C4×#19096809, C2×(C2×D307)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 150);