Finite Group DatabasebetaFinite Group Databasebeta| order | 10768 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C673 ⋊ C2 |
| Sylow | C673 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,673|a^2=d,b^a=bc,e^b=e^6722698 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊C4×D673, C2×#24924620, #36340434, … |
| maximal normal subgroup of | C22⋊C4×D673, C2×#24924620, #36340434, … |
| maximal quotient of | #36340384, #36340389, #36340391, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10768, 17);