Finite Group DatabasebetaFinite Group Databasebeta| order | 9824 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19096816 |
| Sylow | C307 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
1544 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34087979, C4×#19096816, #34087991, … |
| maximal normal subgroup of | #34087979, C4×#19096816, #34087991, … |
| maximal quotient of | C2×#23754183, C2×#23754184, C2×#23754193, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9824, 163);