Finite Group DatabasebetaFinite Group Databasebeta| order | 10624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1328 |
| Sylow | C83 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
2662 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35292284, #35292286, #35292296, … |
| maximal normal subgroup of | #35292284, #35292286, #35292296, … |
| maximal quotient of | C2×#24905645, C2×#24905663, C4×Dic1328, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10624, 6815);