Finite Group Databasebeta

← Group #11866698

Character table — Group #11866698

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222222222222222222224444444444444444444444666666666666666666666666242424242424727211112222222222222222222222222244444444444444444444446666666666666666666666662424242424247272
order12222233444466666666661212121212121212366666666612121212121212121212121288888888242424242424242424242424242424244412121212242222226644446666666666121212121212121266666666661212121212121212121212128888888824242424242424242424242424242424441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-1111-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-11111-1-1111-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1
χ61111-1-1111-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-111111-1-1111-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11
χ71111-1-1111-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-111111-1-1111-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-11
χ81111-1-1111-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1111-11111-1-1111-1-11111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1111-1
χ922222222-2-2-2-22222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022222222-2-2-2-22222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ102222222-1222222-122222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-1002222222-1222222-122222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-100
χ112222222-1222222-122222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-21111002222222-1222222-122222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2111100
χ122222222-1-2-2-2-222-122222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000−i3i3−i3i3002222222-1-2-2-2-222-122222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000−i3i3−i3i300
χ132222222-1-2-2-2-222-122222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000i3−i3i3−i3002222222-1-2-2-2-222-122222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000i3−i3i3−i300
χ14222222-122222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222-122222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ15222222-122222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000222222-122222-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000
χ16222222-12-2-2-2-2-1-12-1-1-1-1-12211111111-122-1-1-1-1-1-1-1-2-2-2-211111111000000003333−3−3−3−33333−3−3−3−300000000222222-12-2-2-2-2-1-12-1-1-1-1-12211111111-122-1-1-1-1-1-1-1-2-2-2-211111111000000003333−3−3−3−33333−3−3−3−300000000
χ17222222-12-2-2-2-2-1-12-1-1-1-1-12211111111-122-1-1-1-1-1-1-1-2-2-2-21111111100000000−3−3−3−33333−3−3−3−3333300000000222222-12-2-2-2-2-1-12-1-1-1-1-12211111111-122-1-1-1-1-1-1-1-2-2-2-21111111100000000−3−3−3−33333−3−3−3−3333300000000
χ182222-2-222-222-2222-2-2-2-2222-2-22222-2-22-2-222-2-2-2-22-2-222-2-2-2-22222000000000000000000000000000000002222-2-222-222-2222-2-2-2-2222-2-22222-2-22-2-222-2-2-2-22-2-222-2-2-2-2222200000000000000000000000000000000
χ192222-2-22-12-2-2222-1-2-2-2-22-1-122-2-2-2-222-111-1-11111-1-1-111-1-1-1-111110000000000000000000000002-2-1-111002222-2-22-12-2-2222-1-2-2-2-22-1-122-2-2-2-222-111-1-11111-1-1-111-1-1-1-111110000000000000000000000002-2-1-11100
χ202222-2-22-12-2-2222-1-2-2-2-22-1-122-2-2-2-222-111-1-11111-1-1-111-1-1-1-11111000000000000000000000000-2211-1-1002222-2-22-12-2-2222-1-2-2-2-22-1-122-2-2-2-222-111-1-11111-1-1-111-1-1-1-11111000000000000000000000000-2211-1-100
χ212222-2-22-1-222-222-1-2-2-2-22-1-1-2-22222-2-2-111-1-11111-111-1-11111-1-1-1-100000000000000000000000000−i3i3i3−i3002222-2-22-1-222-222-1-2-2-2-22-1-1-2-22222-2-2-111-1-11111-111-1-11111-1-1-1-100000000000000000000000000−i3i3i3−i300
χ222222-2-22-1-222-222-1-2-2-2-22-1-1-2-22222-2-2-111-1-11111-111-1-11111-1-1-1-100000000000000000000000000i3−i3−i3i3002222-2-22-1-222-222-1-2-2-2-22-1-1-2-22222-2-2-111-1-11111-111-1-11111-1-1-1-100000000000000000000000000i3−i3−i3i300
χ232222-2-2-122-2-22-1-121111-122-1-11111-1-1-1-2-2-1-11111-122-2-2-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000002222-2-2-122-2-22-1-121111-122-1-11111-1-1-1-2-2-1-11111-122-2-2-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ242222-2-2-122-2-22-1-121111-122-1-11111-1-1-1-2-2-1-11111-122-2-2-1-1-1-11111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000002222-2-2-122-2-22-1-121111-122-1-11111-1-1-1-2-2-1-11111-122-2-2-1-1-1-11111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ252222-2-2-12-222-2-1-121111-12211-1-1-1-111-1-2-2-1-11111-1-2-2221111-1-1-1-1000000003333−3−3−3−3−3−3−3−33333000000002222-2-2-12-222-2-1-121111-12211-1-1-1-111-1-2-2-1-11111-1-2-2221111-1-1-1-1000000003333−3−3−3−3−3−3−3−3333300000000
χ262222-2-2-12-222-2-1-121111-12211-1-1-1-111-1-2-2-1-11111-1-2-2221111-1-1-1-100000000−3−3−3−333333333−3−3−3−3000000002222-2-2-12-222-2-1-121111-12211-1-1-1-111-1-2-2-1-11111-1-2-2221111-1-1-1-100000000−3−3−3−333333333−3−3−3−300000000
χ2722-2-2002202i−2i02-2-20000-22-2002i2i−2i−2i002002-20000-2002i−2i00002i2i−2i−2i22−2−2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000022-2-2002202i−2i02-2-20000-22-2002i2i−2i−2i002002-20000-2002i−2i00002i2i−2i−2i22−2−2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000
χ2822-2-2002202i−2i02-2-20000-22-2002i2i−2i−2i002002-20000-2002i−2i00002i2i−2i−2i−2−222i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000022-2-2002202i−2i02-2-20000-22-2002i2i−2i−2i002002-20000-2002i−2i00002i2i−2i−2i−2−222i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000
χ2922-2-200220−2i2i02-2-20000-22-200−2i−2i2i2i002002-20000-200−2i2i0000−2i−2i2i2i22−2−2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000022-2-200220−2i2i02-2-20000-22-200−2i−2i2i2i002002-20000-200−2i2i0000−2i−2i2i2i22−2−2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000
χ3022-2-200220−2i2i02-2-20000-22-200−2i−2i2i2i002002-20000-200−2i2i0000−2i−2i2i2i−2−222−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000022-2-200220−2i2i02-2-20000-22-200−2i−2i2i2i002002-20000-200−2i2i0000−2i−2i2i2i−2−222−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000
χ3122-2-200-1202i−2i0-11-2−i3−i3i3i312-23−3−i−iii3−3-100-11−i3−i3i3i31002i−2i33−3−3−i−iii22−2−2−i2−i2i2i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000022-2-200-1202i−2i0-11-2−i3−i3i3i312-23−3−i−iii3−3-100-11−i3−i3i3i31002i−2i33−3−3−i−iii22−2−2−i2−i2i2i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300000000
χ3222-2-200-1202i−2i0-11-2−i3−i3i3i312-23−3−i−iii3−3-100-11−i3−i3i3i31002i−2i33−3−3−i−iii−2−222i2i2−i2−i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000022-2-200-1202i−2i0-11-2−i3−i3i3i312-23−3−i−iii3−3-100-11−i3−i3i3i31002i−2i33−3−3−i−iii−2−222i2i2−i2−i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300000000
χ3322-2-200-1202i−2i0-11-2i3i3−i3−i312-2−33−i−iii−33-100-11i3i3−i3−i31002i−2i−3−333−i−iii22−2−2−i2−i2i2i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000022-2-200-1202i−2i0-11-2i3i3−i3−i312-2−33−i−iii−33-100-11i3i3−i3−i31002i−2i−3−333−i−iii22−2−2−i2−i2i2i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700000000
χ3422-2-200-1202i−2i0-11-2i3i3−i3−i312-2−33−i−iii−33-100-11i3i3−i3−i31002i−2i−3−333−i−iii−2−222i2i2−i2−i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000022-2-200-1202i−2i0-11-2i3i3−i3−i312-2−33−i−iii−33-100-11i3i3−i3−i31002i−2i−3−333−i−iii−2−222i2i2−i2−i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700000000
χ3522-2-200-120−2i2i0-11-2−i3−i3i3i312-2−33ii−i−i−33-100-11−i3−i3i3i3100−2i2i−3−333ii−i−i22−2−2i2i2−i2−i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000022-2-200-120−2i2i0-11-2−i3−i3i3i312-2−33ii−i−i−33-100-11−i3−i3i3i3100−2i2i−3−333ii−i−i22−2−2i2i2−i2−i2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700000000
χ3622-2-200-120−2i2i0-11-2−i3−i3i3i312-2−33ii−i−i−33-100-11−i3−i3i3i3100−2i2i−3−333ii−i−i−2−222−i2−i2i2i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000022-2-200-120−2i2i0-11-2−i3−i3i3i312-2−33ii−i−i−33-100-11−i3−i3i3i3100−2i2i−3−333ii−i−i−2−222−i2−i2i2i2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700000000
χ3722-2-200-120−2i2i0-11-2i3i3−i3−i312-23−3ii−i−i3−3-100-11i3i3−i3−i3100−2i2i33−3−3ii−i−i22−2−2i2i2−i2−i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000022-2-200-120−2i2i0-11-2i3i3−i3−i312-23−3ii−i−i3−3-100-11i3i3−i3−i3100−2i2i33−3−3ii−i−i22−2−2i2i2−i2−i2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300000000
χ3822-2-200-120−2i2i0-11-2i3i3−i3−i312-23−3ii−i−i3−3-100-11i3i3−i3−i3100−2i2i33−3−3ii−i−i−2−222−i2−i2i2i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000022-2-200-120−2i2i0-11-2i3i3−i3−i312-23−3ii−i−i3−3-100-11i3i3−i3−i3100−2i2i33−3−3ii−i−i−2−222−i2−i2i2i2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300000000
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χ1634-4-444-44-20000-44-24-4-44-42200000000-2-222-2-222-2200000000000000000000000000000000000000000000-444-4-44-4200004-42-444-44-2-20000000022-2-222-2-22-200000000000000000000000000000000000000000000
χ1644-4-444-4-2-200002-2-2-222-222223−2323−23−2323−23231-22-111-1-11-10000−333−3−333−300000000000000000000000000000000-444-4-44220000-2222-2-22-2-2-2−2323−232323−2323−23-12-21-1-111-1100003−3−333−3−3300000000000000000000000000000000
χ1654-4-444-4-2-200002-2-2-222-2222−2323−232323−2323−231-22-111-1-11-100003−3−333−3−3300000000000000000000000000000000-444-4-44220000-2222-2-22-2-2-223−2323−23−2323−2323-12-21-1-111-110000−333−3−333−300000000000000000000000000000000
χ1664-4-44-444-20000-44-2-444-4-42200000000-22-22-22-2-22200000000000000000000000000000000000000000000-444-44-4-4200004-424-4-444-2-2000000002-22-22-222-2-200000000000000000000000000000000000000000000
χ1674-4-44-44-2-200002-2-22-2-2222223−23−232323−23−232312-2-11-111-1-10000−333−33−3−3300000000000000000000000000000000-444-44-4220000-222-222-2-2-2-2−232323−23−232323−23-1-221-11-1-11100003−3−33−333−300000000000000000000000000000000
χ1684-4-44-44-2-200002-2-22-2-22222−232323−23−232323−2312-2-11-111-1-100003−3−33−333−300000000000000000000000000000000-444-44-4220000-222-222-2-2-2-223−23−232323−23−2323-1-221-11-1-1110000−333−33−3−3300000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.