Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#17984006 |
| Sylow | C137 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1382 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31780584, C4×#17984006, #31780711, … |
| maximal normal subgroup of | #31780584, C4×#17984006, #31780711, … |
| maximal quotient of | C2×#22577128, #31779112, #31779118, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 528);