Finite Group DatabasebetaFinite Group Databasebeta| order | 11456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C179 ⋊ #501 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,179|a^2=d,b^2=d,c^2=e,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^178,c^b=cf1796 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37508312, #37508313, #37508318, … |
| maximal normal subgroup of | #37508312, #37508313, #37508318, … |
| maximal quotient of | #37509168, #37509738, #37509743, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11456, 958);