Finite Group Databasebeta

← Group #11808712

Character table — Group #11808712

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
χ311111111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-11111-1-111-1-1-1-111
χ17222222222-122-1-1-1-122-122-12-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000222222000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-122-1-1-1-122-122-12-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2-2-2-2-20000000000001111111100000000
χ19222222222-122-1-1-1-122-122-12-100000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000-1-111111111-1-1-1-111112200000022-2-2-2-2000000000000-1-111-1-11100000000
χ20222222222-122-1-1-1-122-122-12-100000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-200000000-1-111111111-1-1-1-11111-2-2000000-2-2222200000000000011-1-111-1-100000000
χ21222222222-122-1-1-1-122-122-12-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000011-1-11111111111-1-1-1-122000000-2-2-2-222000000000000-1-1-1-1111100000000
χ22222222222-122-1-1-1-122-122-12-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222220000000011-1-11111111111-1-1-1-1-2-20000002222-2-20000000000001111-1-1-1-100000000
χ23222222222-122-1-1-1-122-122-12-100000000-1-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-11111111122000000-2-222-2-2000000000000-1-11111-1-100000000
χ24222222222-122-1-1-1-122-122-12-100000000-1-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-111111111-2-200000022-2-22200000000000011-1-1-1-11100000000
χ2522222222-12-1-12222-1-12-1-12-1222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100222222000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-12222-1-12-1-12-1222222222-122-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111110022-2-2-2-20000001111-1-1-1-111110000000000000000
χ2722222222-12-1-12222-1-12-1-12-1222222222-1-2-222-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-100-2-222-2-200000011111111-1-1-1-10000000000000000
χ2822222222-12-1-12222-1-12-1-12-1222222222-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111111100-2-2-2-222000000-1-1-1-1111111110000000000000000
χ2922222222-12-1-12222-1-12-1-12-12-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-20000001111111111110000000000000000
χ3022222222-12-1-12222-1-12-1-12-12-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111111111111122-2-2-2-21111-1-1-1-1111100-2-22222000000-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-12222-1-12-1-12-12-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-111111111-1-1-1-111111111-2-222-2-211111111-1-1-1-10022-2-222000000-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-12-1-12222-1-12-1-12-12-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-222-1-1-1-111111111002222-2-20000001111-1-1-1-1-1-1-1-10000000000000000
χ33222-2-22-2-22222222-2-2-2-22-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-20000000000000000002-20000000000000000000000002-20000002-2000000
χ34222-2-22-2-22222222-2-2-2-22-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-2000000000000000000-22000000000000000000000000-22000000-22000000
χ35222-2-22-2-22222222-2-2-2-22-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-222220000000000000000002-20000000000000000000000002-2000000-22000000
χ36222-2-22-2-22222222-2-2-2-22-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-22222000000000000000000-22000000000000000000000000-220000002-2000000
χ3722-22-2-22-2222-22-2-2-2-222-22-2-222i2i−2i−2i2i2i−2i−2i20000002-2-22-2-220000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000002-2000000000000000000002-20000002i−2i00
χ3822-22-2-22-2222-22-2-2-2-222-22-2-222i2i−2i−2i2i2i−2i−2i20000002-2-22-2-220000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000-2200000000000000000000-22000000−2i2i00
χ3922-22-2-22-2222-22-2-2-2-222-22-2-22−2i−2i2i2i−2i−2i2i2i20000002-2-22-2-22000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000002-2000000000000000000002-2000000−2i2i00
χ4022-22-2-22-2222-22-2-2-2-222-22-2-22−2i−2i2i2i−2i−2i2i2i20000002-2-22-2-22000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000-2200000000000000000000-220000002i−2i00
χ4122-2-22-2-22222-22-2-222-2-2-2-222-22i2i−2i−2i−2i−2i2i2i22i−2i00002-2-2-222-200002i2i−2i−2i00002i2i−2i−2i−2i−2i2i2i2i−2i000000002i2i−2i−2i0000002-20000000000000022-2-200000000000000000000
χ4222-2-22-2-22222-22-2-222-2-2-2-222-22i2i−2i−2i−2i−2i2i2i2−2i2i00002-2-2-222-20000−2i−2i2i2i00002i2i−2i−2i−2i−2i2i2i−2i2i00000000−2i−2i2i2i000000-2200000000000000-2-22200000000000000000000
χ4322-2-22-2-22222-22-2-222-2-2-2-222-2−2i−2i2i2i2i2i−2i−2i22i−2i00002-2-2-222-200002i2i−2i−2i0000−2i−2i2i2i2i2i−2i−2i2i−2i000000002i2i−2i−2i000000-2200000000000000-2-22200000000000000000000
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χ4522-2-22-2-22-12-112-2-22-11-2112-1-22i2i−2i−2i−2i−2i2i2i-12i−2i0000-1111-1-11−i3−i3i3i3−i−iii33−3−3−i−iiiii−i−i2i−2i0000−i3−i3i3i3−i−iii33−3−3002-2000000000033−3−3-1-111−i3−i3i3i30000000000000000
χ4622-2-22-2-22-12-112-2-22-11-2112-1-22i2i−2i−2i−2i−2i2i2i-12i−2i0000-1111-1-11i3i3−i3−i3−i−iii−3−333−i−iiiii−i−i2i−2i0000i3i3−i3−i3−i−iii−3−333002-20000000000−3−333-1-111i3i3−i3−i30000000000000000
χ4722-2-22-2-22-12-112-2-22-11-2112-1-22i2i−2i−2i−2i−2i2i2i-1−2i2i0000-1111-1-11−i3−i3i3i3ii−i−i−3−333−i−iiiii−i−i−2i2i0000−i3−i3i3i3ii−i−i−3−33300-22000000000033−3−311-1-1i3i3−i3−i30000000000000000
χ4822-2-22-2-22-12-112-2-22-11-2112-1-22i2i−2i−2i−2i−2i2i2i-1−2i2i0000-1111-1-11i3i3−i3−i3ii−i−i33−3−3−i−iiiii−i−i−2i2i0000i3i3−i3−i3ii−i−i33−3−300-220000000000−3−33311-1-1−i3−i3i3i30000000000000000
χ4922-2-22-2-22-12-112-2-22-11-2112-1-2−2i−2i2i2i2i2i−2i−2i-12i−2i0000-1111-1-11−i3−i3i3i3−i−iii33−3−3ii−i−i−i−iii2i−2i0000−i3−i3i3i3−i−iii33−3−300-220000000000−3−33311-1-1i3i3−i3−i30000000000000000
χ5022-2-22-2-22-12-112-2-22-11-2112-1-2−2i−2i2i2i2i2i−2i−2i-12i−2i0000-1111-1-11i3i3−i3−i3−i−iii−3−333ii−i−i−i−iii2i−2i0000i3i3−i3−i3−i−iii−3−33300-22000000000033−3−311-1-1−i3−i3i3i30000000000000000
χ5122-2-22-2-22-12-112-2-22-11-2112-1-2−2i−2i2i2i2i2i−2i−2i-1−2i2i0000-1111-1-11−i3−i3i3i3ii−i−i−3−333ii−i−i−i−iii−2i2i0000−i3−i3i3i3ii−i−i−3−333002-20000000000−3−333-1-111−i3−i3i3i30000000000000000
χ5222-2-22-2-22-12-112-2-22-11-2112-1-2−2i−2i2i2i2i2i−2i−2i-1−2i2i0000-1111-1-11i3i3−i3−i3ii−i−i33−3−3ii−i−i−i−iii−2i2i0000i3i3−i3−i3ii−i−i33−3−3002-2000000000033−3−3-1-111i3i3−i3−i30000000000000000
χ532-222-2-2-2222-22-22-2-2222-2-22-2-22i−2i2i−2i2i−2i2i−2i2002-200-22-2-2-222000000002-22-22i−2i2i−2i2i−2i2i−2i002-200000000002-22-200002i−2i00000000000000002i−2i2i−2i0000000000000000
χ542-222-2-2-2222-22-22-2-2222-2-22-2-22i−2i2i−2i2i−2i2i−2i200-2200-22-2-2-22200000000-22-222i−2i2i−2i2i−2i2i−2i00-220000000000-22-220000−2i2i0000000000000000−2i2i−2i2i0000000000000000
χ552-222-2-2-2222-22-22-2-2222-2-22-2-2−2i2i−2i2i−2i2i−2i2i2002-200-22-2-2-222000000002-22-2−2i2i−2i2i−2i2i−2i2i002-200000000002-22-20000−2i2i0000000000000000−2i2i−2i2i0000000000000000
χ562-222-2-2-2222-22-22-2-2222-2-22-2-2−2i2i−2i2i−2i2i−2i2i200-2200-22-2-2-22200000000-22-22−2i2i−2i2i−2i2i−2i2i00-220000000000-22-2200002i−2i00000000000000002i−2i2i−2i0000000000000000
χ572-222-2-2-22-121-1-22-2-2-1-121121-22i−2i2i−2i2i−2i2i−2i-1002-2001-1111-1-1−i3i3−i3i3−i3i3−i3i3-11-11−ii−ii−ii−ii002-200−i3i3−i3i3−i3i3−i3i3-11-1100002i−2i000000003−33−33−33−3−ii−ii0000000000000000
χ582-222-2-2-22-121-1-22-2-2-1-121121-22i−2i2i−2i2i−2i2i−2i-1002-2001-1111-1-1i3−i3i3−i3i3−i3i3−i3-11-11−ii−ii−ii−ii002-200i3−i3i3−i3i3−i3i3−i3-11-1100002i−2i00000000−33−33−33−33−ii−ii0000000000000000
χ592-222-2-2-22-121-1-22-2-2-1-121121-22i−2i2i−2i2i−2i2i−2i-100-22001-1111-1-1−i3i3−i3i3i3−i3i3−i31-11-1−ii−ii−ii−ii00-2200−i3i3−i3i3i3−i3i3−i31-11-10000−2i2i000000003−33−3−33−33i−ii−i0000000000000000
χ602-222-2-2-22-121-1-22-2-2-1-121121-22i−2i2i−2i2i−2i2i−2i-100-22001-1111-1-1i3−i3i3−i3−i3i3−i3i31-11-1−ii−ii−ii−ii00-2200i3−i3i3−i3−i3i3−i3i31-11-10000−2i2i00000000−33−333−33−3i−ii−i0000000000000000
χ612-222-2-2-22-121-1-22-2-2-1-121121-2−2i2i−2i2i−2i2i−2i2i-1002-2001-1111-1-1−i3i3−i3i3−i3i3−i3i3-11-11i−ii−ii−ii−i002-200−i3i3−i3i3−i3i3−i3i3-11-110000−2i2i00000000−33−33−33−33i−ii−i0000000000000000
χ622-222-2-2-22-121-1-22-2-2-1-121121-2−2i2i−2i2i−2i2i−2i2i-1002-2001-1111-1-1i3−i3i3−i3i3−i3i3−i3-11-11i−ii−ii−ii−i002-200i3−i3i3−i3i3−i3i3−i3-11-110000−2i2i000000003−33−33−33−3i−ii−i0000000000000000
χ632-222-2-2-22-121-1-22-2-2-1-121121-2−2i2i−2i2i−2i2i−2i2i-100-22001-1111-1-1−i3i3−i3i3i3−i3i3−i31-11-1i−ii−ii−ii−i00-2200−i3i3−i3i3i3−i3i3−i31-11-100002i−2i00000000−33−333−33−3−ii−ii0000000000000000
χ642-222-2-2-22-121-1-22-2-2-1-121121-2−2i2i−2i2i−2i2i−2i2i-100-22001-1111-1-1i3−i3i3−i3−i3i3−i3i31-11-1i−ii−ii−ii−i00-2200i3−i3i3−i3−i3i3−i3i31-11-100002i−2i000000003−33−3−33−33−ii−ii0000000000000000
χ652-22-22-22-222-22-22-22-2-2-2-22-2222i−2i2i−2i−2i2i−2i2i2000000-22-222-2-20000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000002i−2i000000000000002i−2i0000002-20000
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Here i is the imaginary unit (i² = −1).