Finite Group Databasebeta

← Group #11808905

Character table — Group #11808905

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order12222222336666666666666644444444344444466666661212121212121212121212121212121212121212121212121212121212121212121212121212224444444444441212121212121212121212126612121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111
χ7111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111
χ8111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111111111-1-1-1-1-1-111-1-111-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111
χ17222222222-122-1-12-12-122-1-1-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000222222000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-122-1-12-12-122-1-1-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2-2-2-2-20000000000001111111100000000
χ19222222222-122-1-12-12-122-1-1-1200000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-111112200000022-2-2-2-2000000000000-1-1-1-1111100000000
χ20222222222-122-1-12-12-122-1-1-1200000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-11111-2-2000000-2-222220000000000001111-1-1-1-100000000
χ21222222222-122-1-12-12-122-1-1-1200000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-122000000-2-222-2-2000000000000-1-111-1-11100000000
χ22222222222-122-1-12-12-122-1-1-1200000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-1-2-200000022-2-22200000000000011-1-111-1-100000000
χ23222222222-122-1-12-12-122-1-1-1200000000-1-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-11111111122000000-2-2-2-222000000000000-1-11111-1-100000000
χ24222222222-122-1-12-12-122-1-1-1200000000-1-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-111111111-2-20000002222-2-200000000000011-1-1-1-11100000000
χ2522222222-12-1-122-12-12-1-1222-122222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100222222000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-122-12-12-1-1222-122222222-122-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110022-2-2-2-20000001111-1-1-1-111110000000000000000
χ2722222222-12-1-122-12-12-1-1222-122222222-1-2-222-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100-2-222-2-200000011111111-1-1-1-10000000000000000
χ2822222222-12-1-122-12-12-1-1222-122222222-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100-2-2-2-222000000-1-1-1-1111111110000000000000000
χ2922222222-12-1-122-12-12-1-1222-1-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-20000001111111111110000000000000000
χ3022222222-12-1-122-12-12-1-1222-1-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-222-2-21111-1-1-1-1111100-2-22222000000-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-122-12-12-1-1222-1-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-22211111111-1-1-1-10022-2-222000000-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-12-1-122-12-12-1-1222-1-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111002222-2-20000001111-1-1-1-1-1-1-1-10000000000000000
χ33222-2-22-2-2222-2-2-2-2-2222-222-2-22i2i2i2i−2i−2i−2i−2i200000022-2-2-2-220000000000002i2i2i2i−2i−2i−2i−2i0000000000000000002-20000000000000000000000002-2000000002i−2i0000
χ34222-2-22-2-2222-2-2-2-2-2222-222-2-22i2i2i2i−2i−2i−2i−2i200000022-2-2-2-220000000000002i2i2i2i−2i−2i−2i−2i000000000000000000-22000000000000000000000000-2200000000−2i2i0000
χ35222-2-22-2-2222-2-2-2-2-2222-222-2-2−2i−2i−2i−2i2i2i2i2i200000022-2-2-2-22000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000002-20000000000000000000000002-200000000−2i2i0000
χ36222-2-22-2-2222-2-2-2-2-2222-222-2-2−2i−2i−2i−2i2i2i2i2i200000022-2-2-2-22000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000-22000000000000000000000000-22000000002i−2i0000
χ3722-22-2-22-222-2-222-2-222-22-2-2-2222-2-222-2-22000000-2-222-2-2200000000000022-2-222-2-20000000000000000000000000000002i−2i0000000000000000002i−2i0000002i−2i
χ3822-22-2-22-222-2-222-2-222-22-2-2-2222-2-222-2-22000000-2-222-2-2200000000000022-2-222-2-2000000000000000000000000000000−2i2i000000000000000000−2i2i000000−2i2i
χ3922-22-2-22-222-2-222-2-222-22-2-2-22-2-222-2-2222000000-2-222-2-22000000000000-2-222-2-2220000000000000000000000000000002i−2i0000000000000000002i−2i000000−2i2i
χ4022-22-2-22-222-2-222-2-222-22-2-2-22-2-222-2-2222000000-2-222-2-22000000000000-2-222-2-222000000000000000000000000000000−2i2i000000000000000000−2i2i0000002i−2i
χ4122-2-22-2-2222-22-2-22222-2-2-2-22-22i2i−2i−2i−2i−2i2i2i200002-2-2-2-2-222222-2-2000000002i2i−2i−2i−2i−2i2i2i2-2000022-2-2000000000000002i−2i0000002i2i−2i−2i000000000000000000000000
χ4222-2-22-2-2222-22-2-22222-2-2-2-22-22i2i−2i−2i−2i−2i2i2i20000-22-2-2-2-2222-2-222000000002i2i−2i−2i−2i−2i2i2i-220000-2-22200000000000000−2i2i000000−2i−2i2i2i000000000000000000000000
χ4322-2-22-2-2222-22-2-22222-2-2-2-22-2−2i−2i2i2i2i2i−2i−2i200002-2-2-2-2-222222-2-200000000−2i−2i2i2i2i2i−2i−2i2-2000022-2-200000000000000−2i2i000000−2i−2i2i2i000000000000000000000000
χ4422-2-22-2-2222-22-2-22222-2-2-2-22-2−2i−2i2i2i2i2i−2i−2i20000-22-2-2-2-2222-2-22200000000−2i−2i2i2i2i2i−2i−2i-220000-2-222000000000000002i−2i0000002i2i−2i−2i000000000000000000000000
χ4522-2-22-2-22-121-1-2-2-12-1211-2-2212i2i−2i−2i−2i−2i2i2i-100002-21111-1-1-1-1-111−i3−i3i3i3−i3−i3i3i3−i−iiiii−i−i2-20000-1-111−i3−i3i3i3−i3−i3i3i30000002i−2i000000−i−iii33−3−333−3−30000000000000000
χ4622-2-22-2-22-121-1-2-2-12-1211-2-2212i2i−2i−2i−2i−2i2i2i-100002-21111-1-1-1-1-111i3i3−i3−i3i3i3−i3−i3−i−iiiii−i−i2-20000-1-111i3i3−i3−i3i3i3−i3−i30000002i−2i000000−i−iii−3−333−3−3330000000000000000
χ4722-2-22-2-22-121-1-2-2-12-1211-2-2212i2i−2i−2i−2i−2i2i2i-10000-221111-1-1-111-1-1−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i-22000011-1-1−i3−i3i3i3i3i3−i3−i3000000−2i2i000000ii−i−i33−3−3−3−3330000000000000000
χ4822-2-22-2-22-121-1-2-2-12-1211-2-2212i2i−2i−2i−2i−2i2i2i-10000-221111-1-1-111-1-1i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i-22000011-1-1i3i3−i3−i3−i3−i3i3i3000000−2i2i000000ii−i−i−3−33333−3−30000000000000000
χ4922-2-22-2-22-121-1-2-2-12-1211-2-221−2i−2i2i2i2i2i−2i−2i-100002-21111-1-1-1-1-111−i3−i3i3i3−i3−i3i3i3ii−i−i−i−iii2-20000-1-111−i3−i3i3i3−i3−i3i3i3000000−2i2i000000ii−i−i−3−333−3−3330000000000000000
χ5022-2-22-2-22-121-1-2-2-12-1211-2-221−2i−2i2i2i2i2i−2i−2i-100002-21111-1-1-1-1-111i3i3−i3−i3i3i3−i3−i3ii−i−i−i−iii2-20000-1-111i3i3−i3−i3i3i3−i3−i3000000−2i2i000000ii−i−i33−3−333−3−30000000000000000
χ5122-2-22-2-22-121-1-2-2-12-1211-2-221−2i−2i2i2i2i2i−2i−2i-10000-221111-1-1-111-1-1−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii-22000011-1-1−i3−i3i3i3i3i3−i3−i30000002i−2i000000−i−iii−3−33333−3−30000000000000000
χ5222-2-22-2-22-121-1-2-2-12-1211-2-221−2i−2i2i2i2i2i−2i−2i-10000-221111-1-1-111-1-1i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii-22000011-1-1i3i3−i3−i3−i3−i3i3i30000002i−2i000000−i−iii33−3−3−3−3330000000000000000
χ532-222-2-2-2222-222-2-2-2-2-22-22-2222i−2i2i−2i2i−2i2i−2i20000002-22-22-2-20000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000002i−2i0000000000000000002i−2i0000002-200
χ542-222-2-2-2222-222-2-2-2-2-22-22-2222i−2i2i−2i2i−2i2i−2i20000002-22-22-2-20000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000−2i2i000000000000000000−2i2i000000-2200
χ552-222-2-2-2222-222-2-2-2-2-22-22-222−2i2i−2i2i−2i2i−2i2i20000002-22-22-2-2000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000002i−2i0000000000000000002i−2i000000-2200
χ562-222-2-2-2222-222-2-2-2-2-22-22-222−2i2i−2i2i−2i2i−2i2i20000002-22-22-2-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000−2i2i000000000000000000−2i2i0000002-200
χ572-22-22-22-222-2-2-2222-2-2222-2-2-22-22-2-22-222002i−2i002-2-22-22-2000000002i−2i2i−2i2-22-2-22-2200002i−2i000000002i−2i2i−2i00002i−2i00000000000000002i−2i2i−2i0000000000000000
χ582-22-22-22-222-2-2-2222-2-2222-2-2-22-22-2-22-22200−2i2i002-2-22-22-200000000−2i2i−2i2i2-22-2-22-220000−2i2i00000000−2i2i−2i2i0000−2i2i0000000000000000−2i2i−2i2i0000000000000000
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χ602-22-22-22-222-2-2-2222-2-2222-2-2-2-22-222-22-2200−2i2i002-2-22-22-200000000−2i2i−2i2i-22-222-22-20000−2i2i00000000−2i2i−2i2i00002i−2i00000000000000002i−2i2i−2i0000000000000000
χ612-22-22-22-2-1211-22-121-2-1-12-2-212-22-2-22-22-1002i−2i00-111-11-11−i3i3−i3i33−33−3−ii−ii-11-111-11-100002i−2i−i3i3−i3i33−33−3−ii−ii00002i−2i00000000−i3i3−i3i33−33−3−ii−ii0000000000000000
χ622-22-22-22-2-1211-22-121-2-1-12-2-212-22-2-22-22-1002i−2i00-111-11-11i3−i3i3−i3−33−33−ii−ii-11-111-11-100002i−2ii3−i3i3−i3−33−33−ii−ii00002i−2i00000000i3−i3i3−i3−33−33−ii−ii0000000000000000
χ632-22-22-22-2-1211-22-121-2-1-12-2-212-22-2-22-22-100−2i2i00-111-11-11−i3i3−i3i3−33−33i−ii−i-11-111-11-10000−2i2i−i3i3−i3i3−33−33i−ii−i0000−2i2i00000000−i3i3−i3i3−33−33i−ii−i0000000000000000
χ642-22-22-22-2-1211-22-121-2-1-12-2-212-22-2-22-22-100−2i2i00-111-11-11i3−i3i3−i33−33−3i−ii−i-11-111-11-10000−2i2ii3−i3i3−i33−33−3i−ii−i0000−2i2i00000000i3−i3i3−i33−33−3i−ii−i0000000000000000
χ652-22-22-22-2-1211-22-121-2-1-12-2-21-22-222-22-2-1002i−2i00-111-11-11−i3i3−i3i33−33−3−ii−ii1-11-1-11-1100002i−2i−i3i3−i3i33−33−3−ii−ii0000−2i2i00000000i3−i3i3−i3−33−33i−ii−i0000000000000000
χ662-22-22-22-2-1211-22-121-2-1-12-2-21-22-222-22-2-1002i−2i00-111-11-11i3−i3i3−i3−33−33−ii−ii1-11-1-11-1100002i−2ii3−i3i3−i3−33−33−ii−ii0000−2i2i00000000−i3i3−i3i33−33−3i−ii−i0000000000000000
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χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000014444441111111-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
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χ1064-444-4-4-44-242-24-42-42-4-224-44-2−4i4i−4i4i−4i4i−4i4i-2000000-22-22-2220000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
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χ1154-4-4444-4-4-2-2-22-22-2-222222-22-20000000014i−4i0000-111-1-11-1−2i32i32i3−2i3−2i2i2i−2i23−23−23230000000000−2i2i00i3−i3−i3i3i−i−ii−333−3000000000000000000000000000000000000000000
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χ1268-8-8-8-8888-4-4-4-44-444444-44-4-44000000002000000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000

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