Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#14555500 |
| Sylow | C137 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31779593, C8×#14555500, #31779605, … |
| maximal normal subgroup of | #31779593, C8×#14555500, #31779605, … |
| maximal quotient of | C8×#14555500, #31779637, #31779639, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 642);