Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2456 |
| Fitting | C2×C8×C307 ⋊ C2 |
| Sylow | C307 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
2462 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34087687, #34087689, #34087699, … |
| maximal normal subgroup of | #34087687, #34087689, #34087699, … |
| maximal quotient of | C2×#23754182, C2×#23754194, C4×D2456, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 157);