Finite Group Databasebeta

← Group #10823397

Character table — Group #10823397

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order12222222444444443444444446666666121212121212121222444444666612121212121212121212121212121212121212124444444412121212121212121212121212121212888888888888888822444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1722222222222222222-2-2-2-2-2-2-2-22222222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ3022222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ3122222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ3222222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ3422222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ3722-22-2-22-22i2i2i2i−2i−2i−2i−2i2000000002-22-2-22-22i2i2i2i−2i−2i−2i−2i2-22i−2i000022-2-22i2i−2i−2i000000000000000000000000000000000000000022−2−2−i2−i2i2i222−2−2−i2−i2i2i200000000
χ3822-22-2-22-22i2i2i2i−2i−2i−2i−2i2000000002-22-2-22-22i2i2i2i−2i−2i−2i−2i2-22i−2i000022-2-22i2i−2i−2i0000000000000000000000000000000000000000−2−222i2i2−i2−i2−2−222i2i2−i2−i200000000
χ3922-22-2-22-22i2i2i2i−2i−2i−2i−2i2000000002-22-2-22-22i2i2i2i−2i−2i−2i−2i-22−2i2i0000-2-222−2i−2i2i2i000000000000000000000000000000000000000022−2−2−i2−i2i2i2−2−222i2i2−i2−i200000000
χ4022-22-2-22-22i2i2i2i−2i−2i−2i−2i2000000002-22-2-22-22i2i2i2i−2i−2i−2i−2i-22−2i2i0000-2-222−2i−2i2i2i0000000000000000000000000000000000000000−2−222i2i2−i2−i222−2−2−i2−i2i2i200000000
χ4122-22-2-22-2−2i−2i−2i−2i2i2i2i2i2000000002-22-2-22-2−2i−2i−2i−2i2i2i2i2i2-2−2i2i000022-2-2−2i−2i2i2i000000000000000000000000000000000000000022−2−2i2i2−i2−i222−2−2i2i2−i2−i200000000
χ4222-22-2-22-2−2i−2i−2i−2i2i2i2i2i2000000002-22-2-22-2−2i−2i−2i−2i2i2i2i2i2-2−2i2i000022-2-2−2i−2i2i2i0000000000000000000000000000000000000000−2−222−i2−i2i2i2−2−222−i2−i2i2i200000000
χ4322-22-2-22-2−2i−2i−2i−2i2i2i2i2i2000000002-22-2-22-2−2i−2i−2i−2i2i2i2i2i-222i−2i0000-2-2222i2i−2i−2i000000000000000000000000000000000000000022−2−2i2i2−i2−i2−2−222−i2−i2i2i200000000
χ4422-22-2-22-2−2i−2i−2i−2i2i2i2i2i2000000002-22-2-22-2−2i−2i−2i−2i2i2i2i2i-222i−2i0000-2-2222i2i−2i−2i0000000000000000000000000000000000000000−2−222−i2−i2i2i222−2−2i2i2−i2−i200000000
χ4522-2-22-2-222i2i−2i−2i2i2i−2i−2i22i2i−2i−2i22-2-22-2-22-2-222i2i−2i−2i2i2i−2i−2i000000000000000022-2-22i2i−2i−2i0000000000002i−2i2-2000000002i−2i2i−2i2-22-2000000000000000000000000
χ4622-2-22-2-222i2i−2i−2i2i2i−2i−2i22i2i−2i−2i22-2-22-2-22-2-222i2i−2i−2i2i2i−2i−2i000000000000000022-2-22i2i−2i−2i000000000000−2i2i-2200000000−2i2i−2i2i-22-22000000000000000000000000
χ4722-2-22-2-222i2i−2i−2i2i2i−2i−2i2−2i−2i2i2i-2-2222-2-22-2-222i2i−2i−2i2i2i−2i−2i0000000000000000-2-222−2i−2i2i2i000000002i−2i2-200002i−2i2i−2i2-22-200000000000000000000000000000000
χ4822-2-22-2-222i2i−2i−2i2i2i−2i−2i2−2i−2i2i2i-2-2222-2-22-2-222i2i−2i−2i2i2i−2i−2i0000000000000000-2-222−2i−2i2i2i00000000−2i2i-220000−2i2i−2i2i-22-2200000000000000000000000000000000
χ4922-2-22-2-222i2i−2i−2i2i2i−2i−2i-12i2i−2i−2i22-2-2-111-111-1−i−iii−i−iii00000000−i3i3−i3i33−33−3-1-111−i−iii−i3−i3i3i333−3−300002i−2i2-23−3−33−i3i3i3−i3−ii−ii-11-11000000000000000000000000
χ5022-2-22-2-222i2i−2i−2i2i2i−2i−2i-12i2i−2i−2i22-2-2-111-111-1−i−iii−i−iii00000000−i3i3−i3i33−33−3-1-111−i−iii−i3−i3i3i333−3−30000−2i2i-22−333−3i3−i3−i3i3i−ii−i1-11-1000000000000000000000000
χ5122-2-22-2-222i2i−2i−2i2i2i−2i−2i-12i2i−2i−2i22-2-2-111-111-1−i−iii−i−iii00000000i3−i3i3−i3−33−33-1-111−i−iiii3i3−i3−i3−3−33300002i−2i2-2−333−3i3−i3−i3i3−ii−ii-11-11000000000000000000000000
χ5222-2-22-2-222i2i−2i−2i2i2i−2i−2i-12i2i−2i−2i22-2-2-111-111-1−i−iii−i−iii00000000i3−i3i3−i3−33−33-1-111−i−iiii3i3−i3−i3−3−3330000−2i2i-223−3−33−i3i3i3−i3i−ii−i1-11-1000000000000000000000000
χ5322-2-22-2-222i2i−2i−2i2i2i−2i−2i-1−2i−2i2i2i-2-222-111-111-1−i−iii−i−iii00000000−i3i3−i3i33−33−311-1-1ii−i−ii3i3−i3−i3−3−3332i−2i2-20000−ii−ii-11-113−3−33−i3i3i3−i3000000000000000000000000
χ5422-2-22-2-222i2i−2i−2i2i2i−2i−2i-1−2i−2i2i2i-2-222-111-111-1−i−iii−i−iii00000000−i3i3−i3i33−33−311-1-1ii−i−ii3i3−i3−i3−3−333−2i2i-220000i−ii−i1-11-1−333−3i3−i3−i3i3000000000000000000000000
χ5522-2-22-2-222i2i−2i−2i2i2i−2i−2i-1−2i−2i2i2i-2-222-111-111-1−i−iii−i−iii00000000i3−i3i3−i3−33−3311-1-1ii−i−i−i3−i3i3i333−3−32i−2i2-20000−ii−ii-11-11−333−3i3−i3−i3i3000000000000000000000000
χ5622-2-22-2-222i2i−2i−2i2i2i−2i−2i-1−2i−2i2i2i-2-222-111-111-1−i−iii−i−iii00000000i3−i3i3−i3−33−3311-1-1ii−i−i−i3−i3i3i333−3−3−2i2i-220000i−ii−i1-11-13−3−33−i3i3i3−i3000000000000000000000000
χ5722-2-22-2-22−2i−2i2i2i−2i−2i2i2i22i2i−2i−2i-2-2222-2-22-2-22−2i−2i2i2i−2i−2i2i2i0000000000000000-2-2222i2i−2i−2i000000002i−2i-2200002i−2i2i−2i-22-2200000000000000000000000000000000
χ5822-2-22-2-22−2i−2i2i2i−2i−2i2i2i22i2i−2i−2i-2-2222-2-22-2-22−2i−2i2i2i−2i−2i2i2i0000000000000000-2-2222i2i−2i−2i00000000−2i2i2-20000−2i2i−2i2i2-22-200000000000000000000000000000000
χ5922-2-22-2-22−2i−2i2i2i−2i−2i2i2i2−2i−2i2i2i22-2-22-2-22-2-22−2i−2i2i2i−2i−2i2i2i000000000000000022-2-2−2i−2i2i2i0000000000002i−2i-22000000002i−2i2i−2i-22-22000000000000000000000000
χ6022-2-22-2-22−2i−2i2i2i−2i−2i2i2i2−2i−2i2i2i22-2-22-2-22-2-22−2i−2i2i2i−2i−2i2i2i000000000000000022-2-2−2i−2i2i2i000000000000−2i2i2-200000000−2i2i−2i2i2-22-2000000000000000000000000
χ6122-2-22-2-22−2i−2i2i2i−2i−2i2i2i-12i2i−2i−2i-2-222-111-111-1ii−i−iii−i−i00000000−i3i3−i3i3−33−3311-1-1−i−iiii3i3−i3−i333−3−32i−2i-220000−ii−ii1-11-13−3−33i3−i3−i3i3000000000000000000000000
χ6222-2-22-2-22−2i−2i2i2i−2i−2i2i2i-12i2i−2i−2i-2-222-111-111-1ii−i−iii−i−i00000000−i3i3−i3i3−33−3311-1-1−i−iiii3i3−i3−i333−3−3−2i2i2-20000i−ii−i-11-11−333−3−i3i3i3−i3000000000000000000000000
χ6322-2-22-2-22−2i−2i2i2i−2i−2i2i2i-12i2i−2i−2i-2-222-111-111-1ii−i−iii−i−i00000000i3−i3i3−i33−33−311-1-1−i−iii−i3−i3i3i3−3−3332i−2i-220000−ii−ii1-11-1−333−3−i3i3i3−i3000000000000000000000000
χ6422-2-22-2-22−2i−2i2i2i−2i−2i2i2i-12i2i−2i−2i-2-222-111-111-1ii−i−iii−i−i00000000i3−i3i3−i33−33−311-1-1−i−iii−i3−i3i3i3−3−333−2i2i2-20000i−ii−i-11-113−3−33i3−i3−i3i3000000000000000000000000
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χ1204-4-4-4-4444-444-4-444-4-2-444-44-4-442222-2-2-22-2-222-2-220000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000

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