Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C179 ⋊ #504 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=d,d^2=e,e^2=f,g^a=g^178,c^b=cf1820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37510834, #37510837, #37510839, … |
| maximal normal subgroup of | #37510834, #37510837, #37510839, … |
| maximal quotient of | #37510597, #37510614, #37510759, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 966);