Finite Group Databasebeta

← Group #11808732

Character table — Group #11808732

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order1222222233666666666666664444444434444446666666121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444121212121212121212121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111
χ17222222222-1222-1-122-12-1-1-1-1222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-122-12-1-1-1-1222222222-122-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111122-2-200000000-2-21111-1-1-1-111110000000000000000
χ19222222222-1222-1-122-12-1-1-1-1222222222-1-2-222-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-22200000000-2-211111111-1-1-1-10000000000000000
χ20222222222-1222-1-122-12-1-1-1-1222222222-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-2-2-20000000022-1-1-1-1111111110000000000000000
χ21222222222-1222-1-122-12-1-1-1-12-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-21111111111110000000000000000
χ22222222222-1222-1-122-12-1-1-1-12-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111111111111122-2-2-2-2-1-1-1-111111111-2-2220000000022-1-1-1-11111-1-1-1-10000000000000000
χ23222222222-1222-1-122-12-1-1-1-12-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-111111111-1-1-1-111111111-2-222-2-21111-1-1-1-1111122-2-20000000022-1-1-1-1-1-1-1-111110000000000000000
χ24222222222-1222-1-122-12-1-1-1-12-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-22211111111-1-1-1-1222200000000-2-21111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-12-1-1-122-1-12-12222-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222222200000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-1-122-1-12-12222-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2000000000000001111111100000000
χ2722222222-12-1-1-122-1-12-12222-100000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000-1-11111-1-1-1-11111111100002222-2-2-2-200000000000000-1-1-1-1111100000000
χ2822222222-12-1-1-122-1-12-12222-100000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000-1-11111-1-1-1-1111111110000-2-2-2-22222000000000000001111-1-1-1-100000000
χ2922222222-12-1-1-122-1-12-12222-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000011-1-1111111-1-1-1-11111000022-2-222-2-200000000000000-1-111-1-11100000000
χ3022222222-12-1-1-122-1-12-12222-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000011-1-1111111-1-1-1-111110000-2-222-2-2220000000000000011-1-111-1-100000000
χ3122222222-12-1-1-122-1-12-12222-100000000-1-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000001111-1-111111111-1-1-1-1000022-2-2-2-22200000000000000-1-11111-1-100000000
χ3222222222-12-1-1-122-1-12-12222-100000000-1-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000001111-1-111111111-1-1-1-10000-2-22222-2-20000000000000011-1-1-1-11100000000
χ33222-2-22-2-22222-222-2-2-222-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-200000000000000000000002-2000000000000000000002-20000002-2000000
χ34222-2-22-2-22222-222-2-2-222-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-20000000000000000000000-2200000000000000000000-22000000-22000000
χ35222-2-22-2-22222-222-2-2-222-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-2222200000000000000000000002-2000000000000000000002-2000000-22000000
χ36222-2-22-2-22222-222-2-2-222-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-222220000000000000000000000-2200000000000000000000-220000002-2000000
χ3722-22-2-22-2222-2-22-22-22-2-2-22-222i2i−2i−2i2i2i−2i−2i20000002-2-2-222-20000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000002-2000000000000000000002-20000002i−2i00
χ3822-22-2-22-2222-2-22-22-22-2-2-22-222i2i−2i−2i2i2i−2i−2i20000002-2-2-222-20000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000-2200000000000000000000-22000000−2i2i00
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χ4022-22-2-22-2222-2-22-22-22-2-2-22-22−2i−2i2i2i−2i−2i2i2i20000002-2-2-222-2000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000-2200000000000000000000-220000002i−2i00
χ4122-2-22-2-22222-222-2-22-2-2-22-22-22i2i−2i−2i−2i−2i2i2i2002-2002-2-22-2-220000000022-2-22i2i−2i−2i−2i−2i2i2i002-200000022-2-20000002i−2i0000000000000000002i2i−2i−2i0000000000000000
χ4222-2-22-2-22222-222-2-22-2-2-22-22-22i2i−2i−2i−2i−2i2i2i200-22002-2-22-2-2200000000-2-2222i2i−2i−2i−2i−2i2i2i00-22000000-2-222000000−2i2i000000000000000000−2i−2i2i2i0000000000000000
χ4322-2-22-2-22222-222-2-22-2-2-22-22-2−2i−2i2i2i2i2i−2i−2i2002-2002-2-22-2-220000000022-2-2−2i−2i2i2i2i2i−2i−2i002-200000022-2-2000000−2i2i000000000000000000−2i−2i2i2i0000000000000000
χ4422-2-22-2-22222-222-2-22-2-2-22-22-2−2i−2i2i2i2i2i−2i−2i200-22002-2-22-2-2200000000-2-222−2i−2i2i2i2i2i−2i−2i00-22000000-2-2220000002i−2i0000000000000000002i2i−2i−2i0000000000000000
χ4522-2-22-2-222-12-22-11-221-21-11-1-22i2i−2i−2i−2i−2i2i2i-1002-200-111-111-133−3−333−3−3-1-111−i−iiiii−i−i002-20033−3−3-1-11133−3−3002i−2i0000000000−i3−i3i3i3−i3−i3i3i3−i−iii0000000000000000
χ4622-2-22-2-222-12-22-11-221-21-11-1-22i2i−2i−2i−2i−2i2i2i-1002-200-111-111-1−3−333−3−333-1-111−i−iiiii−i−i002-200−3−333-1-111−3−333002i−2i0000000000i3i3−i3−i3i3i3−i3−i3−i−iii0000000000000000
χ4722-2-22-2-222-12-22-11-221-21-11-1-22i2i−2i−2i−2i−2i2i2i-100-2200-111-111-133−3−3−3−33311-1-1−i−iiiii−i−i00-2200−3−33311-1-133−3−300−2i2i0000000000−i3−i3i3i3i3i3−i3−i3ii−i−i0000000000000000
χ4822-2-22-2-222-12-22-11-221-21-11-1-22i2i−2i−2i−2i−2i2i2i-100-2200-111-111-1−3−33333−3−311-1-1−i−iiiii−i−i00-220033−3−311-1-1−3−33300−2i2i0000000000i3i3−i3−i3−i3−i3i3i3ii−i−i0000000000000000
χ4922-2-22-2-222-12-22-11-221-21-11-1-2−2i−2i2i2i2i2i−2i−2i-1002-200-111-111-133−3−333−3−3-1-111ii−i−i−i−iii002-20033−3−3-1-11133−3−300−2i2i0000000000i3i3−i3−i3i3i3−i3−i3ii−i−i0000000000000000
χ5022-2-22-2-222-12-22-11-221-21-11-1-2−2i−2i2i2i2i2i−2i−2i-1002-200-111-111-1−3−333−3−333-1-111ii−i−i−i−iii002-200−3−333-1-111−3−33300−2i2i0000000000−i3−i3i3i3−i3−i3i3i3ii−i−i0000000000000000
χ5122-2-22-2-222-12-22-11-221-21-11-1-2−2i−2i2i2i2i2i−2i−2i-100-2200-111-111-133−3−3−3−33311-1-1ii−i−i−i−iii00-2200−3−33311-1-133−3−3002i−2i0000000000i3i3−i3−i3−i3−i3i3i3−i−iii0000000000000000
χ5222-2-22-2-222-12-22-11-221-21-11-1-2−2i−2i2i2i2i2i−2i−2i-100-2200-111-111-1−3−33333−3−311-1-1ii−i−i−i−iii00-220033−3−311-1-1−3−333002i−2i0000000000−i3−i3i3i3i3i3−i3−i3−i−iii0000000000000000
χ532-222-2-2-2222-222-222-2-2-2-222-2-22i−2i2i−2i2i−2i2i−2i22-20000-22-222-2-200002-22-200002i−2i2i−2i2i−2i2i−2i2-200002-22-2000000002i−2i00000000000000002i−2i2i−2i00000000000000000000
χ542-222-2-2-2222-222-222-2-2-2-222-2-22i−2i2i−2i2i−2i2i−2i2-220000-22-222-2-20000-22-2200002i−2i2i−2i2i−2i2i−2i-220000-22-2200000000−2i2i0000000000000000−2i2i−2i2i00000000000000000000
χ552-222-2-2-2222-222-222-2-2-2-222-2-2−2i2i−2i2i−2i2i−2i2i22-20000-22-222-2-200002-22-20000−2i2i−2i2i−2i2i−2i2i2-200002-22-200000000−2i2i0000000000000000−2i2i−2i2i00000000000000000000
χ562-222-2-2-2222-222-222-2-2-2-222-2-2−2i2i−2i2i−2i2i−2i2i2-220000-22-222-2-20000-22-220000−2i2i−2i2i−2i2i−2i2i-220000-22-22000000002i−2i00000000000000002i−2i2i−2i00000000000000000000
χ572-222-2-2-222-1-2221-12-21-21-1-11-22i−2i2i−2i2i−2i2i−2i-12-200001-11-1-1113−33−3-11-113−33−3−ii−ii−ii−ii2-20000-11-113−33−33−33−32i−2i000000000000−i3i3−i3i3−ii−ii−i3i3−i3i30000000000000000
χ582-222-2-2-222-1-2221-12-21-21-1-11-22i−2i2i−2i2i−2i2i−2i-12-200001-11-1-111−33−33-11-11−33−33−ii−ii−ii−ii2-20000-11-11−33−33−33−332i−2i000000000000i3−i3i3−i3−ii−iii3−i3i3−i30000000000000000
χ592-222-2-2-222-1-2221-12-21-21-1-11-22i−2i2i−2i2i−2i2i−2i-1-2200001-11-1-1113−33−31-11-1−33−33−ii−ii−ii−ii-2200001-11-1−33−333−33−3−2i2i000000000000−i3i3−i3i3i−ii−ii3−i3i3−i30000000000000000
χ602-222-2-2-222-1-2221-12-21-21-1-11-22i−2i2i−2i2i−2i2i−2i-1-2200001-11-1-111−33−331-11-13−33−3−ii−ii−ii−ii-2200001-11-13−33−3−33−33−2i2i000000000000i3−i3i3−i3i−ii−i−i3i3−i3i30000000000000000
χ612-222-2-2-222-1-2221-12-21-21-1-11-2−2i2i−2i2i−2i2i−2i2i-12-200001-11-1-1113−33−3-11-113−33−3i−ii−ii−ii−i2-20000-11-113−33−33−33−3−2i2i000000000000i3−i3i3−i3i−ii−ii3−i3i3−i30000000000000000
χ622-222-2-2-222-1-2221-12-21-21-1-11-2−2i2i−2i2i−2i2i−2i2i-12-200001-11-1-111−33−33-11-11−33−33i−ii−ii−ii−i2-20000-11-11−33−33−33−33−2i2i000000000000−i3i3−i3i3i−ii−i−i3i3−i3i30000000000000000
χ632-222-2-2-222-1-2221-12-21-21-1-11-2−2i2i−2i2i−2i2i−2i2i-1-2200001-11-1-1113−33−31-11-1−33−33i−ii−ii−ii−i-2200001-11-1−33−333−33−32i−2i000000000000i3−i3i3−i3−ii−ii−i3i3−i3i30000000000000000
χ642-222-2-2-222-1-2221-12-21-21-1-11-2−2i2i−2i2i−2i2i−2i2i-1-2200001-11-1-111−33−331-11-13−33−3i−ii−ii−ii−i-2200001-11-13−33−3−33−332i−2i000000000000−i3i3−i3i3−ii−iii3−i3i3−i30000000000000000
χ652-22-22-22-222-22-2-22-222-2-2-2-2222i−2i2i−2i−2i2i−2i2i2000000-22-2-2-2220000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000002-2000000000000000000002-20000002i−2i0000
χ662-22-22-22-222-22-2-22-222-2-2-2-2222i−2i2i−2i−2i2i−2i2i2000000-22-2-2-2220000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000-2200000000000000000000-22000000−2i2i0000
χ672-22-22-22-222-22-2-22-222-2-2-2-222−2i2i−2i2i2i−2i2i−2i2000000-22-2-2-222000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000002-2000000000000000000002-2000000−2i2i0000
χ682-22-22-22-222-22-2-22-222-2-2-2-222−2i2i−2i2i2i−2i2i−2i2000000-22-2-2-222000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000-2200000000000000000000-220000002i−2i0000
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Here i is the imaginary unit (i² = −1).