Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | #102×D139 |
| Fitting | #102×C139 ⋊ C2 |
| Sylow | C139 ⋊ C2×#102 |
202 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
994 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#102×D139, #416×D139, #418×D139, … |
| maximal normal subgroup of | C2×#102×D139, #416×D139, #418×D139, … |
| maximal quotient of | D4⋊C8×D139, #31804801, #31804827, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 534);