Finite Group Databasebeta

← Group #279421

Character table — Group #279421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ1111111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-1-11
χ1211111111111-1-1-1-111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1
χ1311111111111-1-1-1-111111-1-111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-11
χ1411111111111-1-1-1-111111-1-111-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-11-1
χ1511111111111-1-1-1-111111-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-111111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-11
χ172222222222-222222-2-2-2222-2-2-2-20000-20000000022220000-2-2-2-200000000000000
χ182222222222-222222-2-2-2222-2-2-2-20000-200000000-2-2-2-20000222200000000000000
χ192222222222-2-2-2-2-22-2-2-22-2-2-2-222000020000000022-2-20000-2-22200000000000000
χ202222222222-2-2-2-2-22-2-2-22-2-2-2-2220000200000000-2-222000022-2-200000000000000
χ2122222222-2-222222-2222-2-2-2-2-22222-2-2-222-2-2000000000000000000000000000000
χ2222222222-2-222222-2222-2-2-2-2-222-2-222-2-2-222000000000000000000000000000000
χ2322222222-2-22-2-2-2-2-2222-222-2-2-2-222-2-22-2-222000000000000000000000000000000
χ2422222222-2-22-2-2-2-2-2222-222-2-2-2-2-2-222222-2-2000000000000000000000000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-222-2-20000200000000000000000000000000002i−2i2i−2i00
χ2622222222-2-2-22222-2-2-2-2-2-2-222-2-2000020000000000000000000000000000−2i2i−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-200000000000000000000000000002i−2i−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-20000000000000000000000000000−2i2i2i−2i00
χ29222-2-22-2-22-2022-2-2-200022-20000000000000i2i2−i2−i22i−2i2i−2ii2i2−i2−i2000000002−22−2000000
χ30222-2-22-2-22-2022-2-2-200022-20000000000000i2i2−i2−i2−2i2i−2i2ii2i2−i2−i200000000−22−22000000
χ31222-2-22-2-22-2022-2-2-200022-20000000000000−i2−i2i2i22i−2i2i−2i−i2−i2i2i200000000−22−22000000
χ32222-2-22-2-22-2022-2-2-200022-20000000000000−i2−i2i2i2−2i2i−2i2i−i2−i2i2i2000000002−22−2000000
χ33222-2-22-2-22-20-2-222-20002-220000000000000i2i2−i2−i22i−2i−2i2i−i2−i2i2i2000000002−2−22000000
χ34222-2-22-2-22-20-2-222-20002-220000000000000i2i2−i2−i2−2i2i2i−2i−i2−i2i2i200000000−222−2000000
χ35222-2-22-2-22-20-2-222-20002-220000000000000−i2−i2i2i22i−2i−2i2ii2i2−i2−i200000000−222−2000000
χ36222-2-22-2-22-20-2-222-20002-220000000000000−i2−i2i2i2−2i2i2i−2ii2i2−i2−i2000000002−2−22000000
χ3722-222-2-2-22220000-22-2-2-2002-2002-22-2000002-22-20000000000002-2000000000000
χ3822-222-2-2-22220000-22-2-2-2002-2002-22-200000-22-22000000000000-22000000000000
χ3922-222-2-2-22220000-22-2-2-2002-200-22-22000002-22-2000000000000-22000000000000
χ4022-222-2-2-22220000-22-2-2-2002-200-22-2200000-22-220000000000002-2000000000000
χ4122-222-2-2-2-2-22000022-2-2200-22002-2-2200000000000002i−2i2i−2i0000002i−2i0000000000
χ4222-222-2-2-2-2-22000022-2-2200-22002-2-220000000000000−2i2i−2i2i000000−2i2i0000000000
χ4322-222-2-2-2-2-22000022-2-2200-2200-222-200000000000002i−2i2i−2i000000−2i2i0000000000
χ4422-222-2-2-2-2-22000022-2-2200-2200-222-20000000000000−2i2i−2i2i0000002i−2i0000000000
χ45444-4-44-4-4-44044-4-44000-4-440000000000000000000000000000000000000000000
χ46444-4-44-4-4-440-4-4444000-44-40000000000000000000000000000000000000000000
χ4744-444-4-4-444-40000-4-444-400-4400000000000000000000000000000000000000000
χ4844-444-4-4-4-4-4-400004-4444004-400000000000000000000000000000000000000000
χ4944-4-4-4-4444-4000004000-40000000000000002i2−2i2−2i22i200000000000000000000000000
χ5044-4-4-4-4444-4000004000-4000000000000000−2i22i22i2−2i200000000000000000000000000
χ5144-4-4-4-444-4400000-400040000000000000000000000022−22−2222000000000000000000
χ5244-4-4-4-444-4400000-4000400000000000000000000000−222222−22000000000000000000
χ534-444-4-44-40004i−4i4i−4i0000000000000000000000000000000022−222i2−2i200000000000000
χ544-444-4-44-40004i−4i4i−4i00000000000000000000000000000000−2222−2i22i200000000000000
χ554-444-4-44-4000−4i4i−4i4i0000000000000000000000000000000022−22−2i22i200000000000000
χ564-444-4-44-4000−4i4i−4i4i00000000000000000000000000000000−22222i2−2i200000000000000
χ574-44-44-4-440044i−4i−4i4i0-4-44000004i−4i000000000000000000000000000000000000000
χ584-44-44-4-44004−4i4i4i−4i0-4-4400000−4i4i000000000000000000000000000000000000000
χ594-44-44-4-4400-44i−4i−4i4i044-400000−4i4i000000000000000000000000000000000000000
χ604-44-44-4-4400-4−4i4i4i−4i044-4000004i−4i000000000000000000000000000000000000000
χ614-4-4-4444-400400000-44-40000000000004i−4i00000000000000000000000000000000
χ624-4-4-4444-400400000-44-4000000000000−4i4i00000000000000000000000000000000
χ634-4-4-4444-400-4000004-44000000000000004-4000000000000000000000000000000
χ644-4-4-4444-400-4000004-4400000000000000-44000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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