Finite Group DatabasebetaFinite Group Databasebeta| order | 10928 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C683 ⋊ M16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,683|a^2=c,c^2=d,b^a=bd,e^a=e^6822738 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36345932, #36345933, #36345934, … |
| maximal normal subgroup of | #36345932, #36345933, #36345934, … |
| maximal quotient of | #36345927, C22⋊(C683⋊C8), C4⋊(C683⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10928, 24);