Finite Group Databasebeta

← Group #310396

Character table — Group #310396

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-111-1111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-111-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-111111-1-11111-1
χ17222222222-222-2-2-22-20000-22222000022-2-222-2-2000000000000000-200000000000
χ18222222222-222-2-2-22-20000-222220000-2-222-2-2-2-2000000000000000200000000000
χ19222222222-222-2-2-22-20000-2-2-2-2-2000022-2-2-2-222000000000000000200000000000
χ20222222222-222-2-2-22-20000-2-2-2-2-20000-2-2222222000000000000000-200000000000
χ2122222222-22-2-2222-2-22222-2000022-2-20000000022-2-20000000000-2000000000000
χ2222222222-22-2-2222-2-22222-20000-2-2-2-200000000-2-22200000000002000000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-20000222200000000-2-2220000000000-2000000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-20000-2-2220000000022-2-200000000002000000000000
χ25222-2-22-2-20-200-222002i2i−2i−2i022−2−22-2000000002−22i−2i00i2i2−i2−i2i2i2−i2−i20000000000002−20
χ26222-2-22-2-20-200-222002i2i−2i−2i022−2−2-22000000002−2−2i2i00i2i2−i2−i2−i2−i2i2i2000000000000−220
χ27222-2-22-2-20-200-222002i2i−2i−2i0−2−2222-200000000−222i−2i00−i2−i2i2i2−i2−i2i2i2000000000000−220
χ28222-2-22-2-20-200-222002i2i−2i−2i0−2−222-2200000000−22−2i2i00−i2−i2i2i2i2i2−i2−i20000000000002−20
χ29222-2-22-2-20-200-22200−2i−2i2i2i022−2−22-2000000002−2−2i2i00−i2−i2i2i2−i2−i2i2i20000000000002−20
χ30222-2-22-2-20-200-22200−2i−2i2i2i022−2−2-22000000002−22i−2i00−i2−i2i2i2i2i2−i2−i2000000000000−220
χ31222-2-22-2-20-200-22200−2i−2i2i2i0−2−2222-200000000−22−2i2i00i2i2−i2−i2i2i2−i2−i2000000000000−220
χ32222-2-22-2-20-200-22200−2i−2i2i2i0−2−222-2200000000−222i−2i00i2i2−i2−i2−i2−i2i2i20000000000002−20
χ332-2-22-222-222-2-2-22-2222i−2i2i−2i-20000002i−2i000000000000000000000000002i−2i2-200000
χ342-2-22-222-222-2-2-22-2222i−2i2i−2i-20000002i−2i00000000000000000000000000−2i2i-2200000
χ352-2-22-222-222-2-2-22-222−2i2i−2i2i-2000000−2i2i000000000000000000000000002i−2i-2200000
χ362-2-22-222-222-2-2-22-222−2i2i−2i2i-2000000−2i2i00000000000000000000000000−2i2i2-200000
χ372-2-22-222-2-2222-22-2-2-22i−2i2i−2i2000000−2i2i2i−2i2i−2i000000000000000000002-2000000000
χ382-2-22-222-2-2222-22-2-2-22i−2i2i−2i2000000−2i2i−2i2i−2i2i00000000000000000000-22000000000
χ392-2-22-222-2-2222-22-2-2-2−2i2i−2i2i20000002i−2i2i−2i2i−2i00000000000000000000-22000000000
χ402-2-22-222-2-2222-22-2-2-2−2i2i−2i2i20000002i−2i−2i2i−2i2i000000000000000000002-2000000000
χ412-2-22-222-2-2-2222-22-220000-2000000002i−2i−2i2i000000002i−2i2i−2i00002-20000000000000
χ422-2-22-222-2-2-2222-22-220000-2000000002i−2i−2i2i00000000−2i2i−2i2i0000-220000000000000
χ432-2-22-222-2-2-2222-22-220000-200000000−2i2i2i−2i000000002i−2i2i−2i0000-220000000000000
χ442-2-22-222-2-2-2222-22-220000-200000000−2i2i2i−2i00000000−2i2i−2i2i00002-20000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-404004-4-400000002222−22−220000000000−2222000000000000000000000000000
χ47444-4-44-4-404004-4-40000000−22−222222000000000022−22000000000000000000000000000
χ4844-444-4-4-4404-4000-40000000000000000000000000000000000000000000022−22000
χ4944-444-4-4-4404-4000-400000000000000000000000000000000000000000000−2222000
χ5044-444-4-4-4-40-4400040000000000000000004i−4i00000000000000000000000000000
χ5144-444-4-4-4-40-440004000000000000000000−4i4i00000000000000000000000000000
χ524-444-4-4-4440-44000-40000004i−4i4i−4i000000000000000000000000000000000000000
χ534-444-4-4-4440-44000-4000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-444-4-4-44-404-4000400000000000000000000000000000022−2222−22000000000000000
χ554-444-4-4-44-404-40004000000000000000000000000000000−2222−2222000000000000000
χ564-44-44-44-4000000000000002i2−2i2−2i22i20000000000000022−2200002i−2i−2i2i000000000000000
χ574-44-44-44-4000000000000002i2−2i2−2i22i200000000000000−22220000−2i2i2i−2i000000000000000
χ584-44-44-44-400000000000000−2i22i22i2−2i20000000000000022−220000−2i2i2i−2i000000000000000
χ594-44-44-44-400000000000000−2i22i22i2−2i200000000000000−222200002i−2i−2i2i000000000000000
χ604-4-44-444-44-4-4-44-444-4000040000000000000000000000000000000000000000000
χ614-4-4-444-440400-4-4400000000000000000000000000022−22−22220000000000000000000
χ624-4-4-444-440400-4-44000000000000000000000000000−222222−220000000000000000000
χ634-4-4-444-440-40044-4004-4-4400000000000000000000000000000000000000000000
χ644-4-4-444-440-40044-400-444-400000000000000000000000000000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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