Finite Group DatabasebetaFinite Group Databasebeta| order | 11632 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C727 ⋊ M16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,727|a^2=c,c^2=d,b^a=bd,e^a=e^7262914 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37551464, #37551465, #37551466, … |
| maximal normal subgroup of | #37551464, #37551465, #37551466, … |
| maximal quotient of | #37551459, C22⋊(C727⋊C8), C4⋊(C727⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11632, 24);