Finite Group Databasebeta

← Group #310298

Character table — Group #310298

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-11111-1-11
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111-1111-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-1-111-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-111111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111-1-1-1-1-11111-1
χ17222222222-22-2-222-2-22222-2000022-2-200000000-2-2220000000000000-2000000000
χ18222222222-22-2-222-2-22222-20000-2-2-2-20000000022-2-200000000000002000000000
χ19222222222-22-2-222-2-2-2-2-2-2-2000022220000000022-2-20000000000000-2000000000
χ20222222222-22-2-222-2-2-2-2-2-2-20000-2-22200000000-2-22200000000000002000000000
χ2122222222-22-222-2-22-20000-2222200002222-2-2-2-200000000000000-2000000000000
χ2222222222-22-222-2-22-20000-222220000-2-2-2-222-2-2000000000000002000000000000
χ2322222222-22-222-2-22-20000-2-2-2-2-2000022-2-2-2-222000000000000002000000000000
χ2422222222-22-222-2-22-20000-2-2-2-2-20000-2-222222200000000000000-2000000000000
χ2522-2-2-22-2222-2-2-22-2222i2i−2i−2i-20000002i−2i000000000000000000000002i−2i0002-200000
χ2622-2-2-22-2222-2-2-22-2222i2i−2i−2i-20000002i−2i00000000000000000000000−2i2i000-2200000
χ2722-2-2-22-2222-2-2-22-222−2i−2i2i2i-2000000−2i2i000000000000000000000002i−2i000-2200000
χ2822-2-2-22-2222-2-2-22-222−2i−2i2i2i-2000000−2i2i00000000000000000000000−2i2i0002-200000
χ2922-2-2-22-222-2-2222-2-2-22i2i−2i−2i2000000−2i2i2i−2i002i−2i000000000000002-20000000000000
χ3022-2-2-22-222-2-2222-2-2-22i2i−2i−2i2000000−2i2i−2i2i00−2i2i00000000000000-220000000000000
χ3122-2-2-22-222-2-2222-2-2-2−2i−2i2i2i20000002i−2i2i−2i002i−2i00000000000000-220000000000000
χ3222-2-2-22-222-2-2222-2-2-2−2i−2i2i2i20000002i−2i−2i2i00−2i2i000000000000002-20000000000000
χ3322-2-2-22-22-2-2222-22-220000-2000000002i−2i00−2i2i0000002i2i−2i−2i00000000002-20000000
χ3422-2-2-22-22-2-2222-22-220000-2000000002i−2i00−2i2i000000−2i−2i2i2i0000000000-220000000
χ3522-2-2-22-22-2-2222-22-220000-200000000−2i2i002i−2i0000002i2i−2i−2i0000000000-220000000
χ3622-2-2-22-22-2-2222-22-220000-200000000−2i2i002i−2i000000−2i−2i2i2i00000000002-20000000
χ372-222-22-2-2-202002-2002i−2i2i−2i0i2i2−i2−i22-200000000i2−i2002i−2i2−22−222−2−2000000000000i2−i20
χ382-222-22-2-2-202002-2002i−2i2i−2i0i2i2−i2−i2-2200000000i2−i200−2i2i2−22−2−2−222000000000000−i2i20
χ392-222-22-2-2-202002-2002i−2i2i−2i0−i2−i2i2i22-200000000−i2i2002i−2i−22−22−2−222000000000000−i2i20
χ402-222-22-2-2-202002-2002i−2i2i−2i0−i2−i2i2i2-2200000000−i2i200−2i2i−22−2222−2−2000000000000i2−i20
χ412-222-22-2-2-202002-200−2i2i−2i2i0i2i2−i2−i22-200000000i2−i200−2i2i−22−22−2−222000000000000i2−i20
χ422-222-22-2-2-202002-200−2i2i−2i2i0i2i2−i2−i2-2200000000i2−i2002i−2i−22−2222−2−2000000000000−i2i20
χ432-222-22-2-2-202002-200−2i2i−2i2i0−i2−i2i2i22-200000000−i2i200−2i2i2−22−222−2−2000000000000−i2i20
χ442-222-22-2-2-202002-200−2i2i−2i2i0−i2−i2i2i2-2200000000−i2i2002i−2i2−22−2−2−222000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ4644-44-4-44-4000000000000002i2−2i22i2−2i200000000000022−220000002i−2i2i−2i000000000000000
χ4744-44-4-44-4000000000000002i2−2i22i2−2i2000000000000−2222000000−2i2i−2i2i000000000000000
χ4844-44-4-44-400000000000000−2i22i2−2i22i200000000000022−22000000−2i2i−2i2i000000000000000
χ4944-44-4-44-400000000000000−2i22i2−2i22i2000000000000−22220000002i−2i2i−2i000000000000000
χ5044-4-4-44-44-444-4-4-444-4000040000000000000000000000000000000000000000000
χ514-444-44-4-440-400-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ524-444-44-4-440-400-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ534-44-4-4-4440404-400-400000000000000004i−4i0000000000000000000000000000000
χ544-44-4-4-4440404-400-40000000000000000−4i4i0000000000000000000000000000000
χ554-44-4-4-4440-40-440040000000000000000000000000000000000000000000022−22000
χ564-44-4-4-4440-40-4400400000000000000000000000000000000000000000000−2222000
χ574-4-444-4-44040-4400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ584-4-444-4-44040-4400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ594-4-444-4-440-404-40040000004-4-44000000000000000000000000000000000000000
χ604-4-444-4-440-404-4004000000-444-4000000000000000000000000000000000000000
χ614-4-4-4444-440400-4-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ624-4-4-4444-440400-4-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ634-4-4-4444-4-40-40044004-4-4400000000000000000000000000000000000000000000
χ644-4-4-4444-4-40-4004400-444-400000000000000000000000000000000000000000000
χ65888-88-8-8-8000000000000000000000000000000000000000000000000000000000

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