Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#14555775 |
| Sylow | C139 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31805208, C8×#14555775, #31805220, … |
| maximal normal subgroup of | #31805208, C8×#14555775, #31805220, … |
| maximal quotient of | C8×#14555775, #31805252, #31805254, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 642);