Finite Group Databasebeta

← Group #296220

Character table — Group #296220

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444444444444444448888888888888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111
χ51111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-111
χ61111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-111111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-111
χ91111111111111111-1-11-1-1-1-11-111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-11-1
χ101111111111111111-1-11-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-11-1-111-11
χ111111111111111111-1-11-1-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-111-11
χ121111111111111111-1-11-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11111-111-1-11-1
χ131111111111111111-1-11-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1111-1
χ141111111111111111-1-11-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-1-11
χ151111111111111111-1-11-1-1-1-11-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-11
χ161111111111111111-1-11-1-1-1-11-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111-1
χ172222222222-2-222-2-222-222-2-2-2-22222000000000000000000000000-20-2000000000
χ182222222222-2-222-2-222-222-2-2-2-2-2-2-2-2000000000000000000000000202000000000
χ192222222222-2-222-2-2-2-2-2-2-222-2222-2-200000000000000000000000020-2000000000
χ202222222222-2-222-2-2-2-2-2-2-222-22-2-222000000000000000000000000-202000000000
χ2122222222-2-222-2-22222-2-2-2-2-2-2200002222000000000000000000000-2000-2000000
χ2222222222-2-222-2-22222-2-2-2-2-2-220000-2-2-2-200000000000000000000020002000000
χ2322222222-2-222-2-222-2-2-22222-2-2000022-2-20000000000000000000002000-2000000
χ2422222222-2-222-2-222-2-2-22222-2-20000-2-222000000000000000000000-20002000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2222-20000000022-2-200000000000000000002-20000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2222-200000000-2-2220000000000000000000-220000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-2220000000022-2-20000000000000000000-220000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-22200000000-2-22200000000000000000002-20000000
χ29222-2-22-2-22-22-22-22-200-2000020000000002i−2i2i−2i000022-2-200000000000000002i−2i00
χ30222-2-22-2-22-22-22-22-200-2000020000000002i−2i2i−2i0000-2-2220000000000000000−2i2i00
χ31222-2-22-2-22-22-22-22-200-200002000000000−2i2i−2i2i000022-2-20000000000000000−2i2i00
χ32222-2-22-2-22-22-22-22-200-200002000000000−2i2i−2i2i0000-2-22200000000000000002i−2i00
χ33222-2-22-2-2-22-22-22-2200-2000020000000002i−2i−2i2i22-2-20000000000000000002i−2i0000
χ34222-2-22-2-2-22-22-22-2200-2000020000000002i−2i−2i2i-2-222000000000000000000−2i2i0000
χ35222-2-22-2-2-22-22-22-2200-200002000000000−2i2i2i−2i22-2-2000000000000000000−2i2i0000
χ36222-2-22-2-2-22-22-22-2200-200002000000000−2i2i2i−2i-2-2220000000000000000002i−2i0000
χ3722-22-2-2-222-200-22002i−2i02i−2i00002-22i−2i00000000i2−i2i2−i22−22−2i2i2−i2−i222−2−2000000000000
χ3822-22-2-2-222-200-22002i−2i02i−2i00002-22i−2i00000000−i2i2−i2i2−22−22−i2−i2i2i2−2−222000000000000
χ3922-22-2-2-222-200-22002i−2i02i−2i0000-22−2i2i00000000i2−i2i2−i22−22−2−i2−i2i2i2−2−222000000000000
χ4022-22-2-2-222-200-22002i−2i02i−2i0000-22−2i2i00000000−i2i2−i2i2−22−22i2i2−i2−i222−2−2000000000000
χ4122-22-2-2-222-200-2200−2i2i0−2i2i00002-2−2i2i00000000i2−i2i2−i2−22−22i2i2−i2−i2−2−222000000000000
χ4222-22-2-2-222-200-2200−2i2i0−2i2i00002-2−2i2i00000000−i2i2−i2i22−22−2−i2−i2i2i222−2−2000000000000
χ4322-22-2-2-222-200-2200−2i2i0−2i2i0000-222i−2i00000000i2−i2i2−i2−22−22−i2−i2i2i222−2−2000000000000
χ4422-22-2-2-222-200-2200−2i2i0−2i2i0000-222i−2i00000000−i2i2−i2i22−22−2i2i2−i2−i2−2−222000000000000
χ45444-4-44-4-44-4-444-4-440040000-400000000000000000000000000000000000000000
χ46444-4-44-4-4-444-4-444-40040000-400000000000000000000000000000000000000000
χ4744-44-4-4-44-44004-4004i−4i0−4i4i00000000000000000000000000000000000000000000
χ4844-44-4-4-44-44004-400−4i4i04i−4i00000000000000000000000000000000000000000000
χ4944-4-44-44-44400-4-400000000000000000000000000022−22−222200000000000000000000
χ5044-4-44-44-44400-4-4000000000000000000000000000−222222−2200000000000000000000
χ5144-4-44-44-4-4-40044000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5244-4-44-44-4-4-4004400000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-4444-4-4-4004-400-4400000000000000000000000000000000022−2222−22000000000000
χ544-4444-4-4-4004-400-44000000000000000000000000000000000−2222−2222000000000000
χ554-4444-4-4-400-44004-40000000000000000000000000000022−2222−220000000000000000
χ564-4444-4-4-400-44004-400000000000000000000000000000−2222−22220000000000000000
χ574-44-4-4-444004400-4-400000000000004i−4i0000000000000000000000000000000000
χ584-44-4-4-444004400-4-40000000000000−4i4i0000000000000000000000000000000000
χ594-44-4-4-44400-4-400440000000000000004-400000000000000000000000000000000
χ604-44-4-4-44400-4-40044000000000000000-4400000000000000000000000000000000
χ614-4-44-444-400000000000004i−4i00000000000000000000002i−2i−2i2i2-2-22000000000000
χ624-4-44-444-400000000000004i−4i0000000000000000000000−2i2i2i−2i-222-2000000000000
χ634-4-44-444-40000000000000−4i4i00000000000000000000002i−2i−2i2i-222-2000000000000
χ644-4-44-444-40000000000000−4i4i0000000000000000000000−2i2i2i−2i2-2-22000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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