Finite Group Databasebeta

← Group #11813002

Character table — Group #11813002

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222444444444444444444444444446666666666666666888888888888888888121212121212121212121212121212121212121224242424242424242424363636367272
order12222222336666666666666634444446666666121212121212121212121212222244446666666612121212121212121212121212121212121244444444121212121212121212121212441212121212121212224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-11
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111-1
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111111-111-1-111-1-1-1-1111-1
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-111-1-11111-1-1-11
χ91111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1111111-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-11-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-111-11
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-111-11
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-11-11111-1-1-1-111-1-11-1
χ17222222222-122-1-1-1-12222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-122-1-1-1-12222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-21111111111110000000000000000
χ19222222222-122-1-1-1-12222-1-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111220000-2-2-1-1-1-1111111110000000000000000
χ20222222222-122-1-1-1-12222-1-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222221111111122-2-2-2-2-1-1-1-111111111-2-20000221111-1-1-1-1-1-1-1-10000000000000000
χ21222222222-122-1-1-1-12222-1-1-12-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-11111-2-20000-2-21111-1-1-1-111110000000000000000
χ22222222222-122-1-1-1-12222-1-1-12-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-2-2-2-2-211111111-2-2-2-2221111-1-1-1-1111122000022-1-1-1-11111-1-1-1-10000000000000000
χ23222222222-122-1-1-1-12222-1-1-12-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1-2-200002211111111-1-1-1-10000000000000000
χ24222222222-122-1-1-1-12222-1-1-12-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2222211111111-2-222-2-211111111-1-1-1-1220000-2-2-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-12-1-12222-1-1-1-1222-1-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-12-1-12222-1-1-1-1222-1-1222222-1-1-1-1-1-1-12222222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000000000-2-211111111000000
χ2722222222-12-1-12222-1-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-1111111110022-2-2000000000000002-2-1-111-1-111000000
χ2822222222-12-1-12222-1-1-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000000000000-1-11111-1-1-1-11111111100-2-22200000000000000-2211-1-111-1-1000000
χ2922222222-12-1-12222-1-1-1-1222-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000000000001111-1-11111-1-1-1-1111100222200000000000000-2-211-1-1-1-111000000
χ3022222222-12-1-12222-1-1-1-1222-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000000000001111-1-11111-1-1-1-1111100-2-2-2-20000000000000022-1-11111-1-1000000
χ3122222222-12-1-12222-1-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000000000000011-1-11111111111-1-1-1-10022-2-200000000000000-221111-1-1-1-1000000
χ3222222222-12-1-12222-1-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000000000000011-1-11111111111-1-1-1-100-2-222000000000000002-2-1-1-1-11111000000
χ33222-2-22-2-2222-222-2-2-2-2222-2-2-222i−2i000022-2-22-2-22i2i−2i−2i00000000000022-2-2000000002i−2i00002i2i−2i−2i000000000000002i−2i000022-2-22i2i−2i−2i0000000000000000
χ34222-2-22-2-2222-222-2-2-2-2222-2-2-222i−2i000022-2-22-2-22i2i−2i−2i000000000000-2-222000000002i−2i00002i2i−2i−2i00000000000000−2i2i0000-2-222−2i−2i2i2i0000000000000000
χ35222-2-22-2-2222-222-2-2-2-2222-2-2-22−2i2i000022-2-22-2-2−2i−2i2i2i00000000000022-2-200000000−2i2i0000−2i−2i2i2i00000000000000−2i2i000022-2-2−2i−2i2i2i0000000000000000
χ36222-2-22-2-2222-222-2-2-2-2222-2-2-22−2i2i000022-2-22-2-2−2i−2i2i2i000000000000-2-22200000000−2i2i0000−2i−2i2i2i000000000000002i−2i0000-2-2222i2i−2i−2i0000000000000000
χ37222-2-22-2-22-12-2-1-111-2-222-111-2-12i−2i0000-1-111-111−i−iii−i3−i3i3i333−3−3000022-2-2−i3−i3−i3−i3i3i3i3i32i−2i0000−i−iii−i3−i3i3i333−3−30000002i−2i33−3−3-1-111−i−iii0000000000000000
χ38222-2-22-2-22-12-2-1-111-2-222-111-2-12i−2i0000-1-111-111−i−iii−i3−i3i3i333−3−30000-2-222i3i3i3i3−i3−i3−i3−i32i−2i0000−i−iii−i3−i3i3i333−3−3000000−2i2i−3−33311-1-1ii−i−i0000000000000000
χ39222-2-22-2-22-12-2-1-111-2-222-111-2-12i−2i0000-1-111-111−i−iiii3i3−i3−i3−3−333000022-2-2i3i3i3i3−i3−i3−i3−i32i−2i0000−i−iiii3i3−i3−i3−3−3330000002i−2i−3−333-1-111−i−iii0000000000000000
χ40222-2-22-2-22-12-2-1-111-2-222-111-2-12i−2i0000-1-111-111−i−iiii3i3−i3−i3−3−3330000-2-222−i3−i3−i3−i3i3i3i3i32i−2i0000−i−iiii3i3−i3−i3−3−333000000−2i2i33−3−311-1-1ii−i−i0000000000000000
χ41222-2-22-2-22-12-2-1-111-2-222-111-2-1−2i2i0000-1-111-111ii−i−i−i3−i3i3i3−3−333000022-2-2−i3−i3−i3−i3i3i3i3i3−2i2i0000ii−i−i−i3−i3i3i3−3−333000000−2i2i−3−333-1-111ii−i−i0000000000000000
χ42222-2-22-2-22-12-2-1-111-2-222-111-2-1−2i2i0000-1-111-111ii−i−i−i3−i3i3i3−3−3330000-2-222i3i3i3i3−i3−i3−i3−i3−2i2i0000ii−i−i−i3−i3i3i3−3−3330000002i−2i33−3−311-1-1−i−iii0000000000000000
χ43222-2-22-2-22-12-2-1-111-2-222-111-2-1−2i2i0000-1-111-111ii−i−ii3i3−i3−i333−3−3000022-2-2i3i3i3i3−i3−i3−i3−i3−2i2i0000ii−i−ii3i3−i3−i333−3−3000000−2i2i33−3−3-1-111ii−i−i0000000000000000
χ44222-2-22-2-22-12-2-1-111-2-222-111-2-1−2i2i0000-1-111-111ii−i−ii3i3−i3−i333−3−30000-2-222−i3−i3−i3−i3i3i3i3i3−2i2i0000ii−i−ii3i3−i3−i333−3−30000002i−2i−3−33311-1-1−i−iii0000000000000000
χ4522-222-2-2-2222-22-22-22-2-2-2-22-222002i−2i002-22-2-22-200002i−2i2i−2i000022-2-22i−2i2i−2i22-2-222-2-200002i−2i00002i−2i2i−2i00000000000000002i−2i2i−2i00000000000000000000
χ4622-222-2-2-2222-22-22-22-2-2-2-22-222002i−2i002-22-2-22-200002i−2i2i−2i0000-2-222−2i2i−2i2i-2-222-2-22200002i−2i00002i−2i2i−2i0000000000000000−2i2i−2i2i00000000000000000000
χ4722-222-2-2-2222-22-22-22-2-2-2-22-22200−2i2i002-22-2-22-20000−2i2i−2i2i000022-2-2−2i2i−2i2i22-2-222-2-20000−2i2i0000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000000000000000
χ4822-222-2-2-2222-22-22-22-2-2-2-22-22200−2i2i002-22-2-22-20000−2i2i−2i2i0000-2-2222i−2i2i−2i-2-222-2-2220000−2i2i0000−2i2i−2i2i00000000000000002i−2i2i−2i00000000000000000000
χ4922-222-2-2-22-12-2-11-112-2-2-21-112-1002i−2i00-11-111-11−i3i3−i3i3−ii−ii3−33−322-2-22i−2i2i−2i-1-111-1-11100002i−2i−i3i3−i3i3−ii−ii3−33−300000000−i3i3−i3i3−ii−ii3−33−30000000000000000
χ5022-222-2-2-22-12-2-11-112-2-2-21-112-1002i−2i00-11-111-11−i3i3−i3i3−ii−ii3−33−3-2-222−2i2i−2i2i11-1-111-1-100002i−2i−i3i3−i3i3−ii−ii3−33−300000000i3−i3i3−i3i−ii−i−33−330000000000000000
χ5122-222-2-2-22-12-2-11-112-2-2-21-112-1002i−2i00-11-111-11i3−i3i3−i3−ii−ii−33−3322-2-22i−2i2i−2i-1-111-1-11100002i−2ii3−i3i3−i3−ii−ii−33−3300000000i3−i3i3−i3−ii−ii−33−330000000000000000
χ5222-222-2-2-22-12-2-11-112-2-2-21-112-1002i−2i00-11-111-11i3−i3i3−i3−ii−ii−33−33-2-222−2i2i−2i2i11-1-111-1-100002i−2ii3−i3i3−i3−ii−ii−33−3300000000−i3i3−i3i3i−ii−i3−33−30000000000000000
χ5322-222-2-2-22-12-2-11-112-2-2-21-112-100−2i2i00-11-111-11−i3i3−i3i3i−ii−i−33−3322-2-2−2i2i−2i2i-1-111-1-1110000−2i2i−i3i3−i3i3i−ii−i−33−3300000000−i3i3−i3i3i−ii−i−33−330000000000000000
χ5422-222-2-2-22-12-2-11-112-2-2-21-112-100−2i2i00-11-111-11−i3i3−i3i3i−ii−i−33−33-2-2222i−2i2i−2i11-1-111-1-10000−2i2i−i3i3−i3i3i−ii−i−33−3300000000i3−i3i3−i3−ii−ii3−33−30000000000000000
χ5522-222-2-2-22-12-2-11-112-2-2-21-112-100−2i2i00-11-111-11i3−i3i3−i3i−ii−i3−33−322-2-2−2i2i−2i2i-1-111-1-1110000−2i2ii3−i3i3−i3i−ii−i3−33−300000000i3−i3i3−i3i−ii−i3−33−30000000000000000
χ5622-222-2-2-22-12-2-11-112-2-2-21-112-100−2i2i00-11-111-11i3−i3i3−i3i−ii−i3−33−3-2-2222i−2i2i−2i11-1-111-1-10000−2i2ii3−i3i3−i3i−ii−i3−33−300000000−i3i3−i3i3−ii−ii−33−330000000000000000
χ5722-2-2-2-22222222-2-22-22-2-2-2-22-2200002-22-2-22-2-22000000002-2-2200002i−2i−2i2i00000000002-200000000002-2-222i−2i000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ5822-2-2-2-22222222-2-22-22-2-2-2-22-2200002-22-2-22-2-22000000002-2-220000−2i2i2i−2i00000000002-200000000002-2-22−2i2i0000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ5922-2-2-2-22222222-2-22-22-2-2-2-22-220000-222-2-22-2-2200000000-222-200002i−2i−2i2i0000000000-220000000000-222-2−2i2i0000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ6022-2-2-2-22222222-2-22-22-2-2-2-22-220000-222-2-22-2-2200000000-222-20000−2i2i2i−2i0000000000-220000000000-222-22i−2i000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ6122-2-2-2-2222-122-111-1-22-2-211-1-2-100002-2-111-111-13−3−33−333−3-111-100002i−2i−2i2ii3i3−i3−i3−i3−i3i3i3002-2003−3−33−333−3-111-12i−2i000000i−i−ii−iii−ii3−i3−i3i30000000000000000
χ6222-2-2-2-2222-122-111-1-22-2-211-1-2-100002-2-111-111-13−3−33−333−3-111-10000−2i2i2i−2i−i3−i3i3i3i3i3−i3−i3002-2003−3−33−333−3-111-1−2i2i000000−iii−ii−i−ii−i3i3i3−i30000000000000000
χ6322-2-2-2-2222-122-111-1-22-2-211-1-2-100002-2-111-111-1−333−33−3−33-111-100002i−2i−2i2i−i3−i3i3i3i3i3−i3−i3002-200−333−33−3−33-111-12i−2i000000i−i−ii−iii−i−i3i3i3−i30000000000000000
χ6422-2-2-2-2222-122-111-1-22-2-211-1-2-100002-2-111-111-1−333−33−3−33-111-10000−2i2i2i−2ii3i3−i3−i3−i3−i3i3i3002-200−333−33−3−33-111-1−2i2i000000−iii−ii−i−iii3−i3−i3i30000000000000000
χ6522-2-2-2-2222-122-111-1-22-2-211-1-2-10000-22-111-111-13−3−333−3−331-1-1100002i−2i−2i2i−i3−i3i3i3i3i3−i3−i300-22003−3−333−3−331-1-11−2i2i000000−iii−i−iii−ii3−i3−i3i30000000000000000
χ6622-2-2-2-2222-122-111-1-22-2-211-1-2-10000-22-111-111-13−3−333−3−331-1-110000−2i2i2i−2ii3i3−i3−i3−i3−i3i3i300-22003−3−333−3−331-1-112i−2i000000i−i−iii−i−ii−i3i3i3−i30000000000000000
χ6722-2-2-2-2222-122-111-1-22-2-211-1-2-10000-22-111-111-1−333−3−333−31-1-1100002i−2i−2i2ii3i3−i3−i3−i3−i3i3i300-2200−333−3−333−31-1-11−2i2i000000−iii−i−iii−i−i3i3i3−i30000000000000000
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Here i is the imaginary unit (i² = −1).