Finite Group Databasebeta

← Group #11812889

Character table — Group #11812889

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order1222222233666666666666663444466666661212121212121212222244442666666661212121212121212121212124444444466661212121212121212121212124412121212121212122244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1
χ6111111111111111111111111111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-11-1-111-1-1-1-1-1-1-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1
χ101111111111111111111111111-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1-111-1-111-1-1-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-11111-1-1-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-111-1-111-1-111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ17222222222-122-1-1-122-122-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-122220000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-1000002-1-1-1-100000000000
χ18222222222-122-1-1-122-122-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-20011110000111100000-2111100000000000
χ19222222222-122-1-1-122-122-1-1-12-122-2-2-1-1-1-1-1-1-12222111122220000-2-2-2111111-1-1-2-2-1-1-1-11111-2-2002200-1-1-1-10000111100000-2-1-11100000000000
χ20222222222-122-1-1-122-122-1-1-12-122-2-2-1-1-1-1-1-1-122221111-2-2-2-20000-2-2-2111111-1-1-2-2-1-1-1-111112200-2-20011110000-1-1-1-100000211-1-100000000000
χ21222222222-122-1-1-122-122-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122220000-2-2-211111111221111-1-1-1-12200-2-200-1-1-1-10000-1-1-1-100000-2111100000000000
χ22222222222-122-1-1-122-122-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2-20000-2-2-211111111221111-1-1-1-1-2-2002200111100001111000002-1-1-1-100000000000
χ23222222222-122-1-1-122-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2111122220000222-1-1-1-1-1-111-2-211111111-2-200-2-200-1-1-1-10000111100000211-1-100000000000
χ24222222222-122-1-1-122-122-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-20000222-1-1-1-1-1-111-2-2111111112200220011110000-1-1-1-100000-2-1-11100000000000
χ2522222222-12-1-1222-1-12-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-12222000022222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-1200000-1-1-1-10000000
χ2622222222-12-1-1222-1-12-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-22-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-20000111100001111-20000011110000000
χ2722222222-12-1-1222-1-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002222-211-2-211112211-1-1-1-11111002200-2-20000-1-1-1-10000-1-1-1-1-20000011110000000
χ2822222222-12-1-1222-1-12-1-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-211-2-211112211-1-1-1-1111100-2-200220000111100001111200000-1-1-1-10000000
χ2922222222-12-1-1222-1-12-1-1222-1-1-2-222-1-1-1-1-1-1-11111222200002222-211-2-21111-2-2-1-11111-1-1-1-100-2-20022000011110000-1-1-1-1-20000011-1-10000000
χ3022222222-12-1-1222-1-12-1-1222-1-1-2-222-1-1-1-1-1-1-1111122220000-2-2-2-2-211-2-21111-2-2-1-11111-1-1-1-1002200-2-20000-1-1-1-100001111200000-1-1110000000
χ3122222222-12-1-1222-1-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2000022222-1-122-1-1-1-1-2-2111111111100-2-200-2-2000011110000-1-1-1-1200000-1-1110000000
χ3222222222-12-1-1222-1-12-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-22-1-122-1-1-1-1-2-21111111111002200220000-1-1-1-100001111-20000011-1-10000000
χ3322-2-222-2-2222-22-2-22-2-22-22-22-22000022-2-2-22-20000000022-2-22i2i−2i−2i0000000000000000000000000000022-2-2000000002i2i−2i−2i0000000000002i−2i000
χ3422-2-222-2-2222-22-2-22-2-22-22-22-22000022-2-2-22-20000000022-2-2−2i−2i2i2i0000000000000000000000000000022-2-200000000−2i−2i2i2i000000000000−2i2i000
χ3522-2-222-2-2222-22-2-22-2-22-22-22-22000022-2-2-22-200000000-2-2222i2i−2i−2i00000000000000000000000000000-2-222000000002i2i−2i−2i000000000000−2i2i000
χ3622-2-222-2-2222-22-2-22-2-22-22-22-22000022-2-2-22-200000000-2-222−2i−2i2i2i00000000000000000000000000000-2-22200000000−2i−2i2i2i0000000000002i−2i000
χ372-22-22-22-222-22-22-2222-2-2-2-22-22002-2-2-22-2-222000022-2-200002i−2i2i−2i000000000002-2000022-2-20000002i−2i0000000000002i−2i2i−2i000000002i−2i0000000
χ382-22-22-22-222-22-22-2222-2-2-2-22-22002-2-2-22-2-222000022-2-20000−2i2i−2i2i000000000002-2000022-2-2000000−2i2i000000000000−2i2i−2i2i00000000−2i2i0000000
χ392-22-22-22-222-22-22-2222-2-2-2-22-2200-22-2-22-2-2220000-2-22200002i−2i2i−2i00000000000-220000-2-222000000−2i2i0000000000002i−2i2i−2i00000000−2i2i0000000
χ402-22-22-22-222-22-22-2222-2-2-2-22-2200-22-2-22-2-2220000-2-2220000−2i2i−2i2i00000000000-220000-2-2220000002i−2i000000000000−2i2i−2i2i000000002i−2i0000000
χ412-22-22-22-2-121-1-22-2-1-1211-2-221-1002-211-111-1-1−i3−i3i3i322-2-200002i−2i2i−2i0−i3i300−i3−i3i3i300-11−i3−i3i3i3-1-1110000002i−2i000033−3−30000−ii−ii0000003−3−ii0000000
χ422-22-22-22-2-121-1-22-2-1-1211-2-221-1002-211-111-1-1−i3−i3i3i322-2-20000−2i2i−2i2i0−i3i300−i3−i3i3i300-11−i3−i3i3i3-1-111000000−2i2i0000−3−3330000i−ii−i000000−33i−i0000000
χ432-22-22-22-2-121-1-22-2-1-1211-2-221-1002-211-111-1-1i3i3−i3−i322-2-200002i−2i2i−2i0i3−i300i3i3−i3−i300-11i3i3−i3−i3-1-1110000002i−2i0000−3−3330000−ii−ii000000−33−ii0000000
χ442-22-22-22-2-121-1-22-2-1-1211-2-221-1002-211-111-1-1i3i3−i3−i322-2-20000−2i2i−2i2i0i3−i300i3i3−i3−i300-11i3i3−i3−i3-1-111000000−2i2i000033−3−30000i−ii−i0000003−3i−i0000000
χ452-22-22-22-2-121-1-22-2-1-1211-2-221-100-2211-111-1-1−i3−i3i3i3-2-22200002i−2i2i−2i0i3−i300i3i3−i3−i3001-1−i3−i3i3i311-1-1000000−2i2i000033−3−30000−ii−ii000000−33i−i0000000
χ462-22-22-22-2-121-1-22-2-1-1211-2-221-100-2211-111-1-1−i3−i3i3i3-2-2220000−2i2i−2i2i0i3−i300i3i3−i3−i3001-1−i3−i3i3i311-1-10000002i−2i0000−3−3330000i−ii−i0000003−3−ii0000000
χ472-22-22-22-2-121-1-22-2-1-1211-2-221-100-2211-111-1-1i3i3−i3−i3-2-22200002i−2i2i−2i0−i3i300−i3−i3i3i3001-1i3i3−i3−i311-1-1000000−2i2i0000−3−3330000−ii−ii0000003−3i−i0000000
χ482-22-22-22-2-121-1-22-2-1-1211-2-221-100-2211-111-1-1i3i3−i3−i3-2-2220000−2i2i−2i2i0−i3i300−i3−i3i3i3001-1i3i3−i3−i311-1-10000002i−2i000033−3−30000i−ii−i000000−33−ii0000000
χ492-22-2-22-2222-2-2-2-2-2-2222-222-22200002-2-22-2-22000000002-22-20000000000000000000000000002-200002-22-22-22-20000000000000000002-200000
χ502-22-2-22-2222-2-2-2-2-2-2222-222-22200002-2-22-2-22000000002-22-2000000000000000000000000000-2200002-22-2-22-22000000000000000000-2200000
χ512-22-2-22-2222-2-2-2-2-2-2222-222-22200002-2-22-2-2200000000-22-220000000000000000000000000002-20000-22-222-22-2000000000000000000-2200000
χ522-22-2-22-2222-2-2-2-2-2-2222-222-22200002-2-22-2-2200000000-22-22000000000000000000000000000-220000-22-22-22-220000000000000000002-200000
χ532-2-222-2-2222-2-2-2-222-2-2-22-222220000-2-2-2222-20000000000002-2-220000000000000000000002-20000000000000022-2-22-2-22000000000000002-20
χ542-2-222-2-2222-2-2-2-222-2-2-22-222220000-2-2-2222-20000000000002-2-22000000000000000000000-2200000000000000-2-2222-2-2200000000000000-220
χ552-2-222-2-2222-2-2-2-222-2-2-22-222220000-2-2-2222-2000000000000-222-20000000000000000000002-20000000000000022-2-2-222-200000000000000-220
χ562-2-222-2-2222-2-2-2-222-2-2-22-222220000-2-2-2222-2000000000000-222-2000000000000000000000-2200000000000000-2-222-222-2000000000000002-20
χ572-2-22-222-222-22-222-2-2-2222-2-2-222i−2i002-22-22-2-22i−2i2i−2i00002-2-2200000000000002i−2i002i−2i2i−2i000000002i−2i002-2-22000000000000002i−2i0000000000000
χ582-2-22-222-222-22-222-2-2-2222-2-2-222i−2i002-22-22-2-22i−2i2i−2i0000-222-200000000000002i−2i002i−2i2i−2i00000000−2i2i00-222-200000000000000−2i2i0000000000000
χ592-2-22-222-222-22-222-2-2-2222-2-2-22−2i2i002-22-22-2-2−2i2i−2i2i00002-2-220000000000000−2i2i00−2i2i−2i2i00000000−2i2i002-2-2200000000000000−2i2i0000000000000
χ602-2-22-222-222-22-222-2-2-2222-2-2-22−2i2i002-22-22-2-2−2i2i−2i2i0000-222-20000000000000−2i2i00−2i2i−2i2i000000002i−2i00-222-2000000000000002i−2i0000000000000
χ612-2-22-222-22-1-221-1-1-2-2122-111-2-12i−2i00-11-11-1112i−2i2i−2i3−33−32-2-220000000−i3i3−i3i3−i3i3−ii00−ii−ii3−33−300002i−2i00-111-100003−33−3000000−ii−i3i300000000000
χ622-2-22-222-22-1-221-1-1-2-2122-111-2-12i−2i00-11-11-1112i−2i2i−2i3−33−3-222-20000000−i3i3−i3i3−i3i3−ii00−ii−ii3−33−30000−2i2i001-1-110000−33−33000000i−ii3−i300000000000
χ632-2-22-222-22-1-221-1-1-2-2122-111-2-12i−2i00-11-11-1112i−2i2i−2i−33−332-2-220000000i3−i3i3−i3i3−i3−ii00−ii−ii−33−3300002i−2i00-111-10000−33−33000000−iii3−i300000000000
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χ8444-4-4-4-4444-244-2-22-4-42-4-42-224-200002-2-2-22220000−232323−230000000000000000000000000−232323−2300000000000000000000000000000000000000000
χ8544-4-4-4-444-24-2-244-422-422-44-4-2-200002-2-2-222223−23−2323000000000000000000000000023−23−2323000000000000000000000000000000000000000000000
χ8644-4-4-4-444-24-2-244-422-422-44-4-2-200002-2-2-2222−232323−230000000000000000000000000−232323−23000000000000000000000000000000000000000000000
χ8744-4-4-4-444-2-2-2-2-2-22222222-22-210000-1111-1-1-123−23−232323−23−23230000000000000-333-30000−333−3−333−300000000000000000000000000000000000000000
χ8844-4-4-4-444-2-2-2-2-2-22222222-22-210000-1111-1-1-123−23−2323−232323−2300000000000003-3-330000−333−33−3−3300000000000000000000000000000000000000000
χ8944-4-4-4-444-2-2-2-2-2-22222222-22-210000-1111-1-1-1−232323−2323−23−232300000000000003-3-3300003−3−33−333−300000000000000000000000000000000000000000
χ9044-4-4-4-444-2-2-2-2-2-22222222-22-210000-1111-1-1-1−232323−23−232323−230000000000000-333-300003−3−333−3−3300000000000000000000000000000000000000000
χ914-44-44-44-44-2-442-2244-2-4-422-2-4-2004-422-222-2-20000-2-22200000000000000000004-40000-2-22200000000000000000000000000000000000000000
χ924-44-44-44-44-2-442-2244-2-4-422-2-4-200-4422-222-2-2000022-2-20000000000000000000-44000022-2-200000000000000000000000000000000000000000
χ934-44-44-44-4-2-22-22-22-2-2-22222-221004-4-1-11-1-111−2i3−2i32i32i3-2-222000000000−2i32i300i3i3−i3−i300-22i3i3−i3−i311-1-100000000000000000000000000000000000000000
χ944-44-44-44-4-2-22-22-22-2-2-22222-221004-4-1-11-1-1112i32i3−2i3−2i3-2-2220000000002i3−2i300−i3−i3i3i300-22−i3−i3i3i311-1-100000000000000000000000000000000000000000
χ954-44-44-44-4-2-22-22-22-2-2-22222-22100-44-1-11-1-111−2i3−2i32i32i322-2-20000000002i3−2i300−i3−i3i3i3002-2i3i3−i3−i3-1-11100000000000000000000000000000000000000000
χ964-44-44-44-4-2-22-22-22-2-2-22222-22100-44-1-11-1-1112i32i3−2i3−2i322-2-2000000000−2i32i300i3i3−i3−i3002-2−i3−i3i3i3-1-11100000000000000000000000000000000000000000
χ974-44-4-44-444-2-4-4222-44-24-4-2-224-20000-222-222-2000000004-44-4000000000000000000000000000000000-22-2200000000000000000000000000000
χ984-44-4-44-444-2-4-4222-44-24-4-2-224-20000-222-222-200000000-44-440000000000000000000000000000000002-22-200000000000000000000000000000
χ994-44-4-44-44-2422-4-4-42-24-2244-4-2-20000-222-222-20000000000000000000000000000000000000004-400000000-22-220000000000000000000000000
χ1004-44-4-44-44-2422-4-4-42-24-2244-4-2-20000-222-222-2000000000000000000000000000000000000000-44000000002-22-20000000000000000000000000
χ1014-4-444-4-444-2-4-422-24-42-442-2-24-20000222-2-2-2200000000000000000000000000000000000004-400000000000000-2-222000000000000000000000
χ1024-4-444-4-444-2-4-422-24-42-442-2-24-20000222-2-2-220000000000000000000000000000000000000-440000000000000022-2-2000000000000000000000
χ1034-4-444-4-44-2422-4-44-22-42-2-444-2-20000222-2-2-220000000000004-4-4400000000000000000000000000000000000000000-222-200000000000000000
χ1044-4-444-4-44-2422-4-44-22-42-2-444-2-20000222-2-2-22000000000000-444-4000000000000000000000000000000000000000002-2-2200000000000000000
χ1054-4-44-444-4-242-2-44422-4-2-24-4-42-24i−4i00-22-22-222−2i2i−2i2i0000000000000000000004i−4i00−2i2i−2i2i000000000000000000000000000000000000000000000
χ1064-4-44-444-4-242-2-44422-4-2-24-4-42-2−4i4i00-22-22-2222i−2i2i−2i000000000000000000000−4i4i002i−2i2i−2i000000000000000000000000000000000000000000000
χ1074-4-44-444-4-2-22-22-2-2222-2-2-222214i−4i001-11-11-1-1−2i2i−2i2i23−2323−2300000000000−2i32i3i3−i3i3−i3−2i2i00i−ii−i−33−3300000000000000000000000000000000000000000
χ1084-4-44-444-4-2-22-22-2-2222-2-2-222214i−4i001-11-11-1-1−2i2i−2i2i−2323−2323000000000002i3−2i3−i3i3−i3i3−2i2i00i−ii−i3−33−300000000000000000000000000000000000000000
χ1094-4-44-444-4-2-22-22-2-2222-2-2-22221−4i4i001-11-11-1-12i−2i2i−2i23−2323−23000000000002i3−2i3−i3i3−i3i32i−2i00−ii−ii−33−3300000000000000000000000000000000000000000
χ1104-4-44-444-4-2-22-22-2-2222-2-2-22221−4i4i001-11-11-1-12i−2i2i−2i−2323−232300000000000−2i32i3i3−i3i3−i32i−2i00−ii−ii3−33−300000000000000000000000000000000000000000
χ1118888-8-8-8-8-4-4-44-44-44-4-44-4444420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-888-8-8-4-4-44-444-444-44-44-442000022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-88-88-4-4444444-4-4-44-4-44-4200002-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-888-8-88-4-44444-4-4444-44-4-4-420000-2-2-2222-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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