Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #107×C179 ⋊ C2 |
| Sylow | C179 ⋊ #466 |
134 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^178,g^c=g^1781268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37510913, #37510918, #37510924, … |
| maximal normal subgroup of | #37510913, #37510918, #37510924, … |
| maximal quotient of | #37508356, #37508361, #37508390, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 786);