Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#14555770 |
| Fitting | C22×D4×C139 ⋊ C2 |
| Sylow | C139 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
1408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31806749, #31806750, #31806752, … |
| maximal normal subgroup of | #31806749, #31806750, #31806752, … |
| maximal quotient of | C22×#17984762, C22×#17984763, C22×#17984775, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 1318);