Finite Group Databasebeta

← Group #285369

Character table — Group #285369

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444444444224448888888888884444488888888888828
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11-111-11-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-11111111-111-1-1-111-1-1-1-1-11-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-11-1-1-1-1-111-11
χ511111111111111111111-1-11111-1-1111111-11-1-11-11-1-1111-1-11-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11111
χ711111111111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-111111-11
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1111111-1-111-1-1-11-1
χ9111111111111-1-1111-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-111
χ10111111111111-1-1111-1-1-111111111-1-111111-1-1-1-111111-1-1-1-1-111-1-1
χ11111111111111-1-1111-1-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-1-11-1-1111111111-1
χ12111111111111-1-1111-1-1-111-1-1-1-1-1-1-1-1111111-1-11-1-111-11111-1-1-1-11
χ13111111111111-1-1111-1-1-1-1-11111-1-111-1-1-1-1-11111-1-111-1-1-111111-1-1
χ14111111111111-1-1111-1-1-1-1-11111-1-1-1-11111-1-111-1-11-1-11-1-111-1-1-111
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11111111-1-11-1-1-11
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-11111-111111-1-1-1-111-1-1-1111-1
χ1722222222-2-22200-2-2-20002222-2-2-2-2000000-2000020000000000000
χ1822222222-2-22200-2-2-200022-2-22222000000-20000-20000000000000
χ1922222222-2-22200-2-2-2000-2-222-2-22200000020000-20000000000000
χ2022222222-2-22200-2-2-2000-2-2-2-222-2-20000002000020000000000000
χ21222222-2-222-2-2222-2-2-2-22002i−2i2i−2i0000000000000000002i−2i0000000
χ22222222-2-222-2-2222-2-2-2-2200−2i2i−2i2i000000000000000000−2i2i0000000
χ23222222-2-222-2-2-2-22-2-222-2002i−2i2i−2i000000000000000000−2i2i0000000
χ24222222-2-222-2-2-2-22-2-222-200−2i2i−2i2i0000000000000000002i−2i0000000
χ25222222-2-2-2-2-2-200-222000002i−2i−2i2i00000000002-2000000002i−2i00000
χ26222222-2-2-2-2-2-200-222000002i−2i−2i2i0000000000-2200000000−2i2i00000
χ27222222-2-2-2-2-2-200-22200000−2i2i2i−2i00000000002-200000000−2i2i00000
χ28222222-2-2-2-2-2-200-22200000−2i2i2i−2i0000000000-22000000002i−2i00000
χ292222-2-22-2222-222-22-22-2-2000000002222-2-200000000000000-20000
χ302222-2-22-2222-222-22-22-2-200000000-2-2-2-2220000000000000020000
χ312222-2-22-2222-2-2-2-22-2-2220000000022-2-22200000000000000-20000
χ322222-2-22-2222-2-2-2-22-2-22200000000-2-222-2-20000000000000020000
χ332222-2-2-2222-2222-2-22-22-2000000000000000200-20200-2000000000
χ342222-2-2-2222-2222-2-22-22-2000000000000000-20020-2002000000000
χ352222-2-2-2222-22-2-2-2-222-22000000000000000200-20-2002000000000
χ362222-2-2-2222-22-2-2-2-222-22000000000000000-20020200-2000000000
χ374444-4-44-4-4-44-4004-44000000000000000000000000000000000000
χ384444-4-4-44-4-4-440044-4000000000000000000000000000000000000
χ3944-4-44-44400-4-40000000000000000000000000000022−220000000000
χ4044-4-44-44400-4-400000000000000000000000000000−22220000000000
χ4144-4-44-4-4-40044000000000000000000000000000000000000022−2200
χ4244-4-44-4-4-400440000000000000000000000000000000000000−222200
χ4344-4-4-444-400-44000000004i−4i0000000000000000000000000000000
χ4444-4-4-444-400-4400000000−4i4i0000000000000000000000000000000
χ4544-4-4-44-44004-4000000000000004i−4i0000000000000000000000000
χ4644-4-4-44-44004-400000000000000−4i4i0000000000000000000000000
χ474-4-4400004-4004i−4i000000000000002i2−2i222−22000000000000000000000
χ484-4-4400004-4004i−4i00000000000000−2i22i2−2222000000000000000000000
χ494-4-4400004-400−4i4i000000000000002i2−2i2−2222000000000000000000000
χ504-4-4400004-400−4i4i00000000000000−2i22i222−22000000000000000000000
χ518-88-800000000000000000000000000004i−4i0000000000000000000
χ528-88-80000000000000000000000000000−4i4i0000000000000000000
χ538-8-880000-880000000000000000000000000000000000000000000

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