Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D139 |
| Fitting | #101×C139 ⋊ C2 |
| Sylow | C139 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
781 conjugacy classes — view the full character table.
| maximal subgroup of | #355×D139, #356×D139, #31808090, … |
| maximal normal subgroup of | #355×D139, #356×D139, #31808090, … |
| maximal quotient of | #324×D139, #31804726, #31804732, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 527);