Finite Group DatabasebetaFinite Group Databasebeta| order | 11632 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C727 ⋊ C2 |
| Sylow | C727 ⋊ SD16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,727|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^726,c^b=cd,e^b=e^7262911 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D727, C2×#26042729, #37551569, … |
| maximal normal subgroup of | SD16×D727, C2×#26042729, #37551569, … |
| maximal quotient of | #37551470, #37551473, #37551480, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11632, 29);