Finite Group DatabasebetaFinite Group Databasebeta| order | 10768 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C673 ⋊ M16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,673|a^2=c,c^2=d,b^a=bd,e^a=e^6722698 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36340393, #36340394, #36340395, … |
| maximal normal subgroup of | #36340393, #36340394, #36340395, … |
| maximal quotient of | #36340388, C22⋊#19129087, C4⋊#19129087, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10768, 24);