Finite Group Databasebeta

← Group #11824461

Character table — Group #11824461

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222222233444466666666666666344446666666121212121212121212121212121212124444121212121212121212121212121212121212121212121212222244444466666666121212121212121212121212226666444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-111-11
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-11-111-1-1-1-111-11
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-11-1-11111-1-11-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-11
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-1111-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-1-1111-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-11
χ17222222222-122222222-1-1-12-1-12-1-12-12222-1-1-1-1-1-1-12222-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ18222222222-122222222-1-1-12-1-12-1-12-12222-1-1-1-1-1-1-12222-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ19222222222-122222222-1-1-12-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-20000000000001111-1-1-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ20222222222-122222222-1-1-12-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-20000000000001111-1-1-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ21222222222-1-2-2-2-22222-1-1-12-1-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-2000000000000-1-1111111-1-1-1-1111100000022-2-2000000000000-1-1-1-111112-2-1-111000000
χ22222222222-1-2-2-2-22222-1-1-12-1-12-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-2000000000000-1-1111111-1-1-1-11111000000-2-2220000000000001111-1-1-1-1-2211-1-1000000
χ23222222222-1-2-2-2-22222-1-1-12-1-12-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2222200000000000011-1-111111111-1-1-1-100000022-2-2000000000000-1-1-1-11111-2211-1-1000000
χ24222222222-1-2-2-2-22222-1-1-12-1-12-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2222200000000000011-1-111111111-1-1-1-1000000-2-2220000000000001111-1-1-1-12-2-1-111000000
χ2522222222-122222-1-1-1-1222-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2622222222-122222-1-1-1-1222-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ2722222222-122222-1-1-1-1222-122-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-12222111111112222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-222000011111111-1-1-1-100000000000000000000
χ2822222222-122222-1-1-1-1222-122-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1222211111111-2-2-2-211111111-2-2-2-2-1-1-1-1111111112222-2-20000-1-1-1-1-1-1-1-1111100000000000000000000
χ2922222222-12-2-2-2-2-1-1-1-1222-122-122-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-111112222-1-1-1-1-1-1-1-122-2-21111-1-1-1-1111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ3022222222-12-2-2-2-2-1-1-1-1222-122-122-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-11111-2-2-2-21111111122-2-21111-1-1-1-11111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ3122222222-12-2-2-2-2-1-1-1-1222-122-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-21111-1-1-1-12222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-222-2-200001111-1-1-1-1111100000000000000000000
χ3222222222-12-2-2-2-2-1-1-1-1222-122-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-21111-1-1-1-1-2-2-2-211111111-2-22211111111-1-1-1-122-2-2220000-1-1-1-11111-1-1-1-100000000000000000000
χ332222-2-2-2-22222-2-222-2-222-222-2-2-2-2-222i−2i2i−2i22-2-2-22-222-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000002i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000
χ342222-2-2-2-22222-2-222-2-222-222-2-2-2-2-22−2i2i−2i2i22-2-2-22-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000
χ352222-2-2-2-222-2-22222-2-222-222-2-2-2-2-222i−2i−2i2i22-2-2-22-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i0000000000002i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000
χ362222-2-2-2-222-2-22222-2-222-222-2-2-2-2-22−2i2i2i−2i22-2-2-22-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i000000000000−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000
χ372222-2-2-2-22-122-2-222-2-2-1-112-11-211-2-12i−2i2i−2i-1-1111-1122-2-2-1-1112i2i−2i−2i2i2i−2i−2i000000000000−ii−ii-1-111−i−iii−i−iii000000000000000000000033−3−333−3−300−i3i3−i3i3000000
χ382222-2-2-2-22-122-2-222-2-2-1-112-11-211-2-12i−2i2i−2i-1-1111-1122-2-2-1-1112i2i−2i−2i2i2i−2i−2i000000000000−ii−ii-1-111−i−iii−i−iii0000000000000000000000−3−333−3−33300i3−i3i3−i3000000
χ392222-2-2-2-22-122-2-222-2-2-1-112-11-211-2-1−2i2i−2i2i-1-1111-1122-2-2-1-111−2i−2i2i2i−2i−2i2i2i000000000000i−ii−i-1-111ii−i−iii−i−i000000000000000000000033−3−333−3−300i3−i3i3−i3000000
χ402222-2-2-2-22-122-2-222-2-2-1-112-11-211-2-1−2i2i−2i2i-1-1111-1122-2-2-1-111−2i−2i2i2i−2i−2i2i2i000000000000i−ii−i-1-111ii−i−iii−i−i0000000000000000000000−3−333−3−33300−i3i3−i3i3000000
χ412222-2-2-2-22-1-2-22222-2-2-1-112-11-211-2-12i−2i−2i2i-1-1111-11-2-22211-1-12i2i−2i−2i−2i−2i2i2i000000000000−iii−i11-1-1−i−iiiii−i−i000000000000000000000033−3−3−3−33300−i3i3i3−i3000000
χ422222-2-2-2-22-1-2-22222-2-2-1-112-11-211-2-12i−2i−2i2i-1-1111-11-2-22211-1-12i2i−2i−2i−2i−2i2i2i000000000000−iii−i11-1-1−i−iiiii−i−i0000000000000000000000−3−33333−3−300i3−i3−i3i3000000
χ432222-2-2-2-22-1-2-22222-2-2-1-112-11-211-2-1−2i2i2i−2i-1-1111-11-2-22211-1-1−2i−2i2i2i2i2i−2i−2i000000000000i−i−ii11-1-1ii−i−i−i−iii000000000000000000000033−3−3−3−33300i3−i3−i3i3000000
χ442222-2-2-2-22-1-2-22222-2-2-1-112-11-211-2-1−2i2i2i−2i-1-1111-11-2-22211-1-1−2i−2i2i2i2i2i−2i−2i000000000000i−i−ii11-1-1ii−i−i−i−iii0000000000000000000000−3−33333−3−300−i3i3i3−i3000000
χ452222-2-2-2-2-1222-2-2-1-11122-2-12-21-2-21-12i−2i2i−2i-1-1111-11-1-11122-2-2−i−iii−i−iii00003333−3−3−3−32i−2i2i−2i-1-111−i−iii−i−iii0000000000−i3−i3i3i3−i3−i3i3i333−3−300000000000000000000
χ462222-2-2-2-2-1222-2-2-1-11122-2-12-21-2-21-12i−2i2i−2i-1-1111-11-1-11122-2-2−i−iii−i−iii0000−3−3−3−333332i−2i2i−2i-1-111−i−iii−i−iii0000000000i3i3−i3−i3i3i3−i3−i3−3−33300000000000000000000
χ472222-2-2-2-2-1222-2-2-1-11122-2-12-21-2-21-1−2i2i−2i2i-1-1111-11-1-11122-2-2ii−i−iii−i−i00003333−3−3−3−3−2i2i−2i2i-1-111ii−i−iii−i−i0000000000i3i3−i3−i3i3i3−i3−i333−3−300000000000000000000
χ482222-2-2-2-2-1222-2-2-1-11122-2-12-21-2-21-1−2i2i−2i2i-1-1111-11-1-11122-2-2ii−i−iii−i−i0000−3−3−3−33333−2i2i−2i2i-1-111ii−i−iii−i−i0000000000−i3−i3i3i3−i3−i3i3i3−3−33300000000000000000000
χ492222-2-2-2-2-12-2-222-1-11122-2-12-21-2-21-12i−2i−2i2i-1-1111-1111-1-1-2-222−i−iiiii−i−i00003333−3−3−3−32i−2i−2i2i11-1-1−i−iiiii−i−i0000000000−i3−i3i3i3i3i3−i3−i3−3−33300000000000000000000
χ502222-2-2-2-2-12-2-222-1-11122-2-12-21-2-21-12i−2i−2i2i-1-1111-1111-1-1-2-222−i−iiiii−i−i0000−3−3−3−333332i−2i−2i2i11-1-1−i−iiiii−i−i0000000000i3i3−i3−i3−i3−i3i3i333−3−300000000000000000000
χ512222-2-2-2-2-12-2-222-1-11122-2-12-21-2-21-1−2i2i2i−2i-1-1111-1111-1-1-2-222ii−i−i−i−iii00003333−3−3−3−3−2i2i2i−2i11-1-1ii−i−i−i−iii0000000000i3i3−i3−i3−i3−i3i3i3−3−33300000000000000000000
χ522222-2-2-2-2-12-2-222-1-11122-2-12-21-2-21-1−2i2i2i−2i-1-1111-1111-1-1-2-222ii−i−i−i−iii0000−3−3−3−33333−2i2i2i−2i11-1-1ii−i−i−i−iii0000000000−i3−i3i3i3i3i3−i3−i333−3−300000000000000000000
χ5322-2-2-222-22200002-22-22-2-2-2-22-22-22200002-22-2-2-22000000000000000022-2-222-2-222-2-20000000000000000000000002-200000000000000002-22-2000000002-200
χ5422-2-2-222-22200002-22-22-2-2-2-22-22-22200002-22-2-2-22000000000000000022-2-222-2-222-2-2000000000000000000000000-220000000000000000-22-2200000000-2200
χ5522-2-2-222-22200002-22-22-2-2-2-22-22-22200002-22-2-2-220000000000000000-2-222-2-222-2-2220000000000000000000000002-200000000000000002-22-200000000-2200
χ5622-2-2-222-22200002-22-22-2-2-2-22-22-22200002-22-2-2-220000000000000000-2-222-2-222-2-222000000000000000000000000-220000000000000000-22-22000000002-200
χ572-22-2-22-22220000-22-22-22-2-2-22-2-22220000-22-22-2-2200000000000000002-22-22-22-22-22-200000000000000000000002-2000000000000002-22-200000000002-20000
χ582-22-2-22-22220000-22-22-22-2-2-22-2-22220000-22-22-2-2200000000000000002-22-22-22-22-22-20000000000000000000000-2200000000000000-22-220000000000-220000
χ592-22-2-22-22220000-22-22-22-2-2-22-2-22220000-22-22-2-220000000000000000-22-22-22-22-22-2200000000000000000000002-2000000000000002-22-20000000000-220000
χ602-22-2-22-22220000-22-22-22-2-2-22-2-22220000-22-22-2-220000000000000000-22-22-22-22-22-220000000000000000000000-2200000000000000-22-2200000000002-20000
χ612-2-2222-2-2222-22-2-2-2-2-2-2-222222-2-2220000-2-2-2-22222-22-22-22-2000000002-2-222-2-222-2-2200002-22-20000000000002-20000000000002-22-200000000000000000000
χ622-2-2222-2-2222-22-2-2-2-2-2-2-222222-2-2220000-2-2-2-22222-22-22-22-200000000-222-2-222-2-222-200002-22-2000000000000-22000000000000-22-2200000000000000000000
χ632-2-2222-2-222-22-22-2-2-2-2-2-222222-2-2220000-2-2-2-2222-22-22-22-22000000002-2-222-2-222-2-220000-22-22000000000000-22000000000000-22-2200000000000000000000
χ642-2-2222-2-222-22-22-2-2-2-2-2-222222-2-2220000-2-2-2-2222-22-22-22-2200000000-222-2-222-2-222-20000-22-220000000000002-20000000000002-22-200000000000000000000
χ652-2-2222-2-2-122-22-21111-2-22-122-1-2-2-1-100001111-1-1-1-11-112-22-2−i3i3−i3i3−i3i3−i3i32-2-22-111-1-111-10000-11-11−i3i3−i3i3−i3i3−i3i300002-20000−i3i3−i3i3−i3i3−i3i3-11-1100000000000000000000
χ662-2-2222-2-2-122-22-21111-2-22-122-1-2-2-1-100001111-1-1-1-11-112-22-2−i3i3−i3i3−i3i3−i3i3-222-21-1-111-1-110000-11-11−i3i3−i3i3−i3i3−i3i30000-220000i3−i3i3−i3i3−i3i3−i31-11-100000000000000000000
χ672-2-2222-2-2-122-22-21111-2-22-122-1-2-2-1-100001111-1-1-1-11-112-22-2i3−i3i3−i3i3−i3i3−i32-2-22-111-1-111-10000-11-11i3−i3i3−i3i3−i3i3−i300002-20000i3−i3i3−i3i3−i3i3−i3-11-1100000000000000000000
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Here i is the imaginary unit (i² = −1).