Finite Group Databasebeta

← Group #10714548

Character table — Group #10714548

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222222222222444444448888888888888888161616161616161616161616242424242424242448484848
order12222234444666666688881212121244881212121224242424242424244444121212121212121216161616161616162244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1
χ9222222222222222222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2000000000000000000000000
χ10222222222222222222-2-2-2-22222-2-222-2-2-2-2-2-2-2-22222000000000000000000000000
χ112222222-2-2-2-222222220000-2-2-2-22-20022-2-20000000000000000000022−2−222−2−20000
χ122222222-2-2-2-222222220000-2-2-2-22-20022-2-200000000000000000000−2−222−2−2220000
χ132222222-2-2-2-222222220000-2-2-2-2-2200-2-2220000000000000000000022−2−2−2−2220000
χ142222222-2-2-2-222222220000-2-2-2-2-2200-2-22200000000000000000000−2−22222−2−20000
χ15222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ16222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ17222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-1-1-1-1111122-2-21111-1-1-1-1000000000000
χ18222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-1-1-1-11111-2-222-1-1-1-11111000000000000
χ19222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-2-1-1-1-1111111110000−i3−i3i3i3−i3−i3i3i3000000000000
χ20222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-2-1-1-1-1111111110000i3i3−i3−i3i3i3−i3−i3000000000000
χ21222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-22211111111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000000000
χ22222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-22211111111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000000
χ232222-2-22-2-222-2-222-2-222-22-2-2-2220000000022-2-200000000000000000000000020-20
χ242222-2-22-2-222-2-222-2-222-22-2-2-2220000000022-2-2000000000000000000000000-2020
χ252222-2-22-2-222-2-222-2-22-22-22-2-22200000000-2-222000000000000000000000000020-2
χ262222-2-22-2-222-2-222-2-22-22-22-2-22200000000-2-2220000000000000000000000000-202
χ272-2-222-222-22-2222-2-2-2-200002-22-2002-20000000022-2-2000000000000−i2i2−i2i2−i2i2−i2i20000
χ282-2-222-222-22-2222-2-2-2-200002-22-2002-20000000022-2-2000000000000i2−i2i2−i2i2−i2i2−i20000
χ292-2-222-222-22-2222-2-2-2-200002-22-200-2200000000-2-222000000000000−i2i2−i2i2i2−i2i2−i20000
χ302-2-222-222-22-2222-2-2-2-200002-22-200-2200000000-2-222000000000000i2−i2i2−i2−i2i2−i2i20000
χ312-2-222-22-22-22222-2-2-2-22-2-22-22-22000000002-22-200000000000000002i−2i−2i2i00000000
χ322-2-222-22-22-22222-2-2-2-22-2-22-22-22000000002-22-20000000000000000−2i2i2i−2i00000000
χ332-2-222-22-22-22222-2-2-2-2-222-2-22-2200000000-22-22000000000000000000002i−2i−2i2i0000
χ342-2-222-22-22-22222-2-2-2-2-222-2-22-2200000000-22-2200000000000000000000−2i2i2i−2i0000
χ352-2-22-2222-2-22-2-22-222-222-2-22-2-22000000002-2-2200002i−2i0000002i−2i2i−2i000000000000
χ362-2-22-2222-2-22-2-22-222-222-2-22-2-22000000002-2-220000−2i2i000000−2i2i−2i2i000000000000
χ372-2-22-2222-2-22-2-22-222-2-2-2222-2-2200000000-222-20000002-22-22-20000000000000000
χ382-2-22-2222-2-22-2-22-222-2-2-2222-2-2200000000-222-2000000-22-22-220000000000000000
χ392-2-22-22-12-2-2211-11-1-1122-2-2-111-100003−33−3-111-13−33−32i−2i00−i3i3i3−i3−ii−ii000000000000
χ402-2-22-22-12-2-2211-11-1-1122-2-2-111-100003−33−3-111-13−33−3−2i2i00i3−i3−i3i3i−ii−i000000000000
χ412-2-22-22-12-2-2211-11-1-1122-2-2-111-10000−33−33-111-1−33−332i−2i00i3−i3−i3i3−ii−ii000000000000
χ422-2-22-22-12-2-2211-11-1-1122-2-2-111-10000−33−33-111-1−33−33−2i2i00−i3i3i3−i3i−ii−i000000000000
χ432-2-22-22-12-2-2211-11-1-11-2-222-111-100003−33−31-1-11−33−33002-2-11-113−3−33000000000000
χ442-2-22-22-12-2-2211-11-1-11-2-222-111-100003−33−31-1-11−33−3300-221-11-1−333−3000000000000
χ452-2-22-22-12-2-2211-11-1-11-2-222-111-10000−33−331-1-113−33−3002-2-11-11−333−3000000000000
χ462-2-22-22-12-2-2211-11-1-11-2-222-111-10000−33−331-1-113−33−300-221-11-13−3−33000000000000
χ47444444-2-4-4-4-4-2-2-2-2-2-2-2000022224-400-2-22200000000000000000000000000000000
χ48444444-2-4-4-4-4-2-2-2-2-2-2-200002222-440022-2-200000000000000000000000000000000
χ494444-4-4444-4-4-4-444-4-44000044-4-40000000000000000000000000000000000000000
χ504444-4-4-244-4-422-2-222-20000-2-22200000000000023−23−2323000000000000000000000000
χ514444-4-4-244-4-422-2-222-20000-2-222000000000000−232323−23000000000000000000000000
χ524444-4-4-2-4-44422-2-222-24-44-422-2-200000000-2-2220000000000000000000000000000
χ534444-4-4-2-4-44422-2-222-2-44-4422-2-20000000022-2-20000000000000000000000000000
χ544-4-444-4-24-44-4-2-2-222220000-22-22004-400000000-2-222000000000000000000000000
χ554-4-444-4-24-44-4-2-2-222220000-22-2200-440000000022-2-2000000000000000000000000
χ564-4-444-4-2-44-44-2-2-222224-4-442-22-200000000-22-220000000000000000000000000000
χ574-4-444-4-2-44-44-2-2-22222-444-42-22-2000000002-22-20000000000000000000000000000
χ584-4-44-444-444-4-4-44-444-40000-444-40000000000000000000000000000000000000000
χ594-4-44-44-2-444-422-22-2-2200002-2-22000023−23−232300000000000000000000000000000000
χ604-4-44-44-2-444-422-22-2-2200002-2-220000−232323−2300000000000000000000000000000000
χ6188-8-8008000000-8800-8000000000000000000000000000000000000000000000000
χ6288-8-800-40000−4i34i34-4−4i34i34000000000000000000000000000000000000000000000000
χ6388-8-800-400004i3−4i34-44i3−4i34000000000000000000000000000000000000000000000000
χ648-88-8008000000-8-8008000000000000000000000000000000000000000000000000
χ658-88-800-40000−4i34i3444i3−4i3-4000000000000000000000000000000000000000000000000
χ668-88-800-400004i3−4i344−4i34i3-4000000000000000000000000000000000000000000000000

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