Finite Group Databasebeta

← Group #309947

Character table — Group #309947

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-11
χ911111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1111111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-111111-1-111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111
χ17222222222-222-2-22-2-20000-2222222-2-2000022-2-2000000000000-200000000000000
χ18222222222-222-2-22-2-20000-22222-2-2220000-2-2-2-2000000000000200000000000000
χ19222222222-222-2-22-2-20000-2-2-2-2-222220000-2-222000000000000-200000000000000
χ20222222222-222-2-22-2-20000-2-2-2-2-2-2-2-2-200002222000000000000200000000000000
χ2122222222-22-2-222-22-22222-20000000022-2-2000022-2-200000000000-200000000000
χ2222222222-22-2-222-22-22222-200000000-2-2-2-20000-2-22200000000000200000000000
χ2322222222-22-2-222-22-2-2-2-2-2-20000000022220000-2-22200000000000-200000000000
χ2422222222-22-2-222-22-2-2-2-2-2-200000000-2-222000022-2-200000000000200000000000
χ2522-22-22-2-20-2002-20202i2i−2i−2i022−2−200002i−2i00002−22-200i2i2−i2−i222−2−200000000i2−i200000
χ2622-22-22-2-20-2002-20202i2i−2i−2i022−2−20000−2i2i00002−2-2200i2i2−i2−i2−2−22200000000−i2i200000
χ2722-22-22-2-20-2002-20202i2i−2i−2i0−2−22200002i−2i0000−222-200−i2−i2i2i2−2−22200000000−i2i200000
χ2822-22-22-2-20-2002-20202i2i−2i−2i0−2−2220000−2i2i0000−22-2200−i2−i2i2i222−2−200000000i2−i200000
χ2922-22-22-2-20-2002-2020−2i−2i2i2i022−2−200002i−2i00002−2-2200−i2−i2i2i2−2−22200000000i2−i200000
χ3022-22-22-2-20-2002-2020−2i−2i2i2i022−2−20000−2i2i00002−22-200−i2−i2i2i222−2−200000000−i2i200000
χ3122-22-22-2-20-2002-2020−2i−2i2i2i0−2−22200002i−2i0000−22-2200i2i2−i2−i222−2−200000000−i2i200000
χ3222-22-22-2-20-2002-2020−2i−2i2i2i0−2−2220000−2i2i0000−222-200i2i2−i2−i2−2−22200000000i2−i200000
χ332-22-2-222-222-2-2-2-22222i−2i2i−2i-20000002i−2i002i−2i2i−2i0000000000000002-2000000000000
χ342-22-2-222-222-2-2-2-22222i−2i2i−2i-2000000−2i2i002i−2i−2i2i000000000000000-22000000000000
χ352-22-2-222-222-2-2-2-2222−2i2i−2i2i-20000002i−2i00−2i2i2i−2i000000000000000-22000000000000
χ362-22-2-222-222-2-2-2-2222−2i2i−2i2i-2000000−2i2i00−2i2i−2i2i0000000000000002-2000000000000
χ372-22-2-222-22-2-2-2222-2-2000020000002i−2i0000−2i2i0000002-22-2000000002i−2i000000000
χ382-22-2-222-22-2-2-2222-2-2000020000002i−2i0000−2i2i000000-22-2200000000−2i2i000000000
χ392-22-2-222-22-2-2-2222-2-200002000000−2i2i00002i−2i0000002-22-200000000−2i2i000000000
χ402-22-2-222-22-2-2-2222-2-200002000000−2i2i00002i−2i000000-22-22000000002i−2i000000000
χ412-22-2-222-2-2222-2-2-22-22i−2i2i−2i20000000000−2i2i00000000000000000000002i−2i00002-20
χ422-22-2-222-2-2222-2-2-22-22i−2i2i−2i20000000000−2i2i0000000000000000000000−2i2i0000-220
χ432-22-2-222-2-2222-2-2-22-2−2i2i−2i2i200000000002i−2i00000000000000000000002i−2i0000-220
χ442-22-2-222-2-2222-2-2-22-2−2i2i−2i2i200000000002i−2i0000000000000000000000−2i2i00002-20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-44000000000000002i2−2i22i2−2i2000000000000002i2−2i200002-22-2000000000000000
χ47444-4-4-4-44000000000000002i2−2i22i2−2i200000000000000−2i22i20000-22-22000000000000000
χ48444-4-4-4-4400000000000000−2i22i2−2i22i2000000000000002i2−2i20000-22-22000000000000000
χ49444-4-4-4-4400000000000000−2i22i2−2i22i200000000000000−2i22i200002-22-2000000000000000
χ5044-44-44-4-40400-440-40000002222−22−220000000000−2222000000000000000000000000000
χ5144-44-44-4-40400-440-4000000−22−222222000000000022−22000000000000000000000000000
χ5244-4-44-44-4404-400-4000000000000000000000000000000022−22−2222000000000000000
χ5344-4-44-44-4404-400-40000000000000000000000000000000−222222−22000000000000000
χ5444-4-44-44-4-40-4400400000004i−4i−4i4i000000000000000000000000000000000000000
χ5544-4-44-44-4-40-440040000000−4i4i4i−4i000000000000000000000000000000000000000
χ564-44-4-444-4-4-44444-4-440000-40000000000000000000000000000000000000000000
χ574-4-44-4-44440-4400-40000000000000000000000000000000000000000000002i2−2i2000
χ584-4-44-4-44440-4400-4000000000000000000000000000000000000000000000−2i22i2000
χ594-4-44-4-444-404-4004000000000004-40000000000000000000000000000000000000
χ604-4-44-4-444-404-400400000000000-440000000000000000000000000000000000000
χ614-4-4-444-4404004-40-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ624-4-4-444-4404004-40-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ634-4-4-444-440-400-440404-4-4400000000000000000000000000000000000000000000
χ644-4-4-444-440-400-44040-444-400000000000000000000000000000000000000000000
χ658-8888-8-8-8000000000000000000000000000000000000000000000000000000000

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