Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C173 ⋊ #446 |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,c^a=cf,g^b=g^1721748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #446×D173, C2×#26011619, #36362494, … |
| maximal normal subgroup of | #446×D173, C2×#26011619, #36362494, … |
| maximal quotient of | #36353431, #36353435, #36353439, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 677);