Finite Group Databasebeta

← Group #72306629

Character table — Group #72306629

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size112224444444444448888888881616161616161616161616161616161632323232323232323232323264646464
order12244244488888888488888888222222444444444444888888161616164488
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11111-1-111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-11111-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-111111-1-1-1-1-1-11111111-1-11111-1-11-1-111-1-111-1-1-1-1-1-111
χ611111111111-1-1-1-111111-1-1-1-1-1-1111-1-111-1-1-1-111-1-11-1-111-1-1-1-1111111-1-1
χ711111111111-1-1-1-111111-1-1-1-1-1-11-1-111111111-1-1111-1-1-1-11111-1-1-1-111-1-1
χ811111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-111-1-11111-1-111
χ9111-1-1-1111-1-1111111-11-111-1-1-1-1-11-11-11-11-11-11-11-111-11-11-11-111-1-11-11-1
χ10111-1-1-1111-1-1111111-11-111-1-1-1-1-11-1-111-11-1-111-11-111-11-11-1-11-1-111-11-11
χ11111-1-1-1111-1-1111111-11-111-1-1-1-1-1-111-11-1-111-1-11-1111-1-11-111-111-1-1-11-11
χ12111-1-1-1111-1-1111111-11-111-1-1-1-1-1-11-111-1-11-11-11-1111-1-11-11-11-1-1111-11-1
χ13111-1-1-1111-1-1-1-1-1-111-11-1-1-11111-11-11-11-1-111-11-1-111-111-1-111-1-1-111-111-1
χ14111-1-1-1111-1-1-1-1-1-111-11-1-1-11111-11-1-111-1-11-111-1-111-111-1-11-1111-1-11-1-11
χ15111-1-1-1111-1-1-1-1-1-111-11-1-1-11111-1-111-11-11-11-1-111-11-11-111-11-1-1-1111-1-11
χ16111-1-1-1111-1-1-1-1-1-111-11-1-1-11111-1-11-111-11-1-11-111-11-11-111-1-1111-1-1-111-1
χ1722222222222222222222222222-20000-2-200000000-2-2-200000000000000
χ1822222222222-2-2-2-222222-2-2-2-2-2-2-20000-2-200000000-22200000000000000
χ19222222222-2-20000-2-22-2-200000022200-2-200002200200-2-2000000000000
χ20222222222-2-20000-2-22-2-20000002-2-200-2-20000-2-20020022000000000000
χ21222222222-2-20000-2-22-2-2000000-200002222000022-20000-2-20000000000
χ22222222222-2-20000-2-22-2-2000000-2000022-2-20000-2-2-20000220000000000
χ23222-2-2-2222220000-2-2-2-22000000200002-22-200002-2-20000-220000000000
χ24222-2-2-2222220000-2-2-2-22000000200002-2-220000-22-200002-20000000000
χ25222-2-2-2222220000-2-2-2-22000000-22-200-2200002-200200-22000000000000
χ26222-2-2-2222220000-2-2-2-22000000-2-2200-220000-22002002-2000000000000
χ27222-2-2-2222-2-2222222-22-222-2-2-2-220000-2200000000-2-2200000000000000
χ28222-2-2-2222-2-2-2-2-2-222-22-2-2-2222220000-2200000000-22-200000000000000
χ294444444-4-400000000-4000000000002200002200000000000-2-200000000
χ304444444-4-400000000-400000000000-2-20000-2-2000000000002200000000
χ3144444-4-40000222200000-2-222-2-20220000-2-200-2-22200000000000000000
χ3244444-4-40000222200000-2-222-2-20-2-20000220022-2-200000000000000000
χ3344444-4-40000-2-2-2-20000022-2-22202200002200-2-2-2-200000000000000000
χ3444444-4-40000-2-2-2-20000022-2-2220-2-20000-2-200222200000000000000000
χ35444-4-44-40000222200000-2-2-2-22202-20000-2200-222-200000000000000000
χ36444-4-44-40000222200000-2-2-2-2220-2200002-2002-2-2200000000000000000
χ37444-4-44-40000-2-2-2-2000002222-2-202-200002-200-22-2200000000000000000
χ38444-4-44-40000-2-2-2-2000002222-2-20-220000-22002-22-200000000000000000
χ39444-4-4-44-4-4000000004000000000002-200002-200000000000-2200000000
χ40444-4-4-44-4-400000000400000000000-220000-22000000000002-200000000
χ4144-44-40000222i22i2−2i2−2i2-2-202-2002i2−2i200000220000-2-20000000000000i2−i2i2−i20000
χ4244-44-40000222i22i2−2i2−2i2-2-202-2002i2−2i200000-2-20000220000000000000−i2i2−i2i20000
χ4344-44-4000022−2i2−2i22i22i2-2-202-200−2i22i200000220000-2-20000000000000−i2i2−i2i20000
χ4444-44-4000022−2i2−2i22i22i2-2-202-200−2i22i200000-2-20000220000000000000i2−i2i2−i20000
χ4544-4-440000-2-22i22i2−2i2−2i2-2-202200−2i22i2000002-20000-220000000000000i2−i2−i2i20000
χ4644-4-440000-2-22i22i2−2i2−2i2-2-202200−2i22i200000-2200002-20000000000000−i2i2i2−i20000
χ4744-4-440000-2-2−2i2−2i22i22i2-2-2022002i2−2i2000002-20000-220000000000000−i2i2i2−i20000
χ4844-4-440000-2-2−2i2−2i22i22i2-2-2022002i2−2i200000-2200002-20000000000000i2−i2−i2i20000
χ4988-88-80000-4-40000440-4400000000000000000000000000000000000000
χ5088-8-880000440000440-4-400000000000000000000000000000000000000
χ518-8000004-4004+2i2−4−2i24−2i2−4+2i24i2−4i20002i2−2i2000000000000000000000000000000000000
χ528-8000004-4004−2i2−4+2i24+2i2−4−2i2−4i24i2000−2i22i2000000000000000000000000000000000000
χ538-8000004-400−4+2i24−2i2−4−2i24+2i2−4i24i20002i2−2i2000000000000000000000000000000000000
χ548-8000004-400−4−2i24+2i2−4+2i24−2i24i2−4i2000−2i22i2000000000000000000000000000000000000
χ558-800000-4442−422i2−2i2−2i22i200000−2i22i2004i−4i00000000000000000000000000000000
χ568-800000-4442−42−2i22i22i2−2i2000002i2−2i200−4i4i00000000000000000000000000000000
χ578-800000-44−42422i2−2i2−2i22i200000−2i22i200−4i4i00000000000000000000000000000000
χ588-800000-44−4242−2i22i22i2−2i2000002i2−2i2004i−4i00000000000000000000000000000000

Here i is the imaginary unit (i² = −1).