Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#17984775 |
| Sylow | C139 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
1408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31806296, C4×#17984775, #31806300, … |
| maximal normal subgroup of | #31806296, C4×#17984775, #31806300, … |
| maximal quotient of | C2×#22580705, #31805162, #31805178, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 582);