Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#17984766 |
| Sylow | C139 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#17984766, #103×Dic139, #31806234, … |
| maximal normal subgroup of | C4×#17984766, #103×Dic139, #31806234, … |
| maximal quotient of | C2×Q8⋊(C139⋊C8), #31804807, #31804833, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 540);