Finite Group DatabasebetaFinite Group Databasebeta| order | 10832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C677 ⋊ M16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,677|a^2=c,c^2=d,b^a=bd,e^a=e^6762714 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36343362, #36343363, #36343364, … |
| maximal normal subgroup of | #36343362, #36343363, #36343364, … |
| maximal quotient of | #36343357, C22⋊#19129312, C4⋊#19129312, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10832, 24);