Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#17984787 |
| Fitting | C2×C16×C139 ⋊ C2 |
| Sylow | C139 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
2230 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31808255, C4×#17984787, #31808267, … |
| maximal normal subgroup of | #31808255, C4×#17984787, #31808267, … |
| maximal quotient of | C2×#22580755, C2×#22580758, C2×#22580781, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 974);