Finite Group Databasebeta

← Group #11790211

Character table — Group #11790211

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−ii−ii−ii−i
χ101-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii−ii−ii−ii
χ111-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i−ii−ii−ii
χ121-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iiii−ii−ii−i
χ131-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iiii−ii−i−ii
χ141-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i−ii−iii−i
χ151-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii−ii−iii−i
χ161-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−ii−ii−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000000022-2-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000000000-2-22200
χ19222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ2322222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2422222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2522222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-1-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ2622222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ272222-2-2-2-2222-2-22-222-222-2-222-2-2-2-22-222-2-22-22-22-22-2-2200000000002-22-20000000000002-22-20000000022-2-222-2-2000000000000000000
χ282222-2-2-2-2222-2-22-222-222-2-222-2-2-2-22-222-2-22-22-22-22-2-2200000000002-22-2000000000000-22-2200000000-2-222-2-222000000000000000000
χ292222-2-2-2-222-222-2-222-222-2-222-2-2-2-22-222-2-22-2-22-22-222-20000000000-22-22000000002-22-2000022-2-222-2-200000000000000000000000000
χ302222-2-2-2-222-222-2-222-222-2-222-2-2-2-22-222-2-22-2-22-22-222-20000000000-22-2200000000-22-220000-2-222-2-22200000000000000000000000000
χ312222-2-2-2-22-1-222-2-222-2-1-1112-1-211-2-11-1-111-11-22121-1-1-200003−3003−31-11-133−3−333−3−32-22-20000-1-111-1-1110000000000003−33−30000000000
χ322222-2-2-2-22-1-222-2-222-2-1-1112-1-211-2-11-1-111-11-22121-1-1-200003−3003−31-11-133−3−333−3−3-22-22000011-1-111-1-1000000000000−33−330000000000
χ332222-2-2-2-22-1-222-2-222-2-1-1112-1-211-2-11-1-111-11-22121-1-1-20000−3300−331-11-1−3−333−3−3332-22-20000-1-111-1-111000000000000−33−330000000000
χ342222-2-2-2-22-1-222-2-222-2-1-1112-1-211-2-11-1-111-11-22121-1-1-20000−3300−331-11-1−3−333−3−333-22-22000011-1-111-1-10000000000003−33−30000000000
χ352222-2-2-2-2-122-2-221-1-1122-2-2-121-2-21-11-1-111-11-11212-2-2-1003−3003−300-11-113−33−33−33−300002-22-200000000-1-111-1-111000000003−33−3000000
χ362222-2-2-2-2-122-2-221-1-1122-2-2-121-2-21-11-1-111-11-11212-2-2-1003−3003−300-11-113−33−33−33−30000-22-220000000011-1-111-1-100000000−33−33000000
χ372222-2-2-2-2-122-2-221-1-1122-2-2-121-2-21-11-1-111-11-11212-2-2-100−3300−3300-11-11−33−33−33−3300002-22-200000000-1-111-1-11100000000−33−33000000
χ382222-2-2-2-2-122-2-221-1-1122-2-2-121-2-21-11-1-111-11-11212-2-2-100−3300−3300-11-11−33−33−33−330000-22-220000000011-1-111-1-1000000003−33−3000000
χ392-2-2222-2-222-22-222-2-2-2-2-2-2-222222-222-2-2-2-222-2-2-2222-220000000000-2-222000000000000000000000000000000000000000000002i−2i−2i2i00
χ402-2-2222-2-222-22-222-2-2-2-2-2-2-222222-222-2-2-2-222-2-2-2222-220000000000-2-22200000000000000000000000000000000000000000000−2i2i2i−2i00
χ412-2-2222-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-22-222-1-1-2-211-1-111-1-1-1-1111122-2-20000-1-1-1-11111000000002-200-1-1110000000000
χ422-2-2222-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-22-222-1-1-2-211-1-111-1-1-1-11111-2-22200001111-1-1-1-100000000-220011-1-10000000000
χ432-2-2222-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-2-22-2-21122-1-1-1-1111111-1-1-1-122-2-20000-1-1-1-1111100000000-220011-1-10000000000
χ442-2-2222-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-2-22-2-21122-1-1-1-1111111-1-1-1-1-2-22200001111-1-1-1-1000000002-200-1-1110000000000
χ452-2-2222-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-2212-2-1-12211-2-2-1-111-1-1-1-1111100002i2i−2i−2i00000000−i−i−i−iiiii002i−2i0000−i−iii000000
χ462-2-2222-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-2212-2-1-12211-2-2-1-111-1-1-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i00−2i2i0000ii−i−i000000
χ472-2-2222-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-221-2211-2-2-1-122-1-1111111-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii00−2i2i0000ii−i−i000000
χ482-2-2222-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-221-2211-2-2-1-122-1-1111111-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i002i−2i0000−i−iii000000
χ492-2-22-2-2222222-2-2-2-2-22-2-22222-2-2-222-2-2-2222-22-222-22-2-200000000002-2-220000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ502-2-22-2-2222222-2-2-2-2-22-2-22222-2-2-222-2-2-2222-22-222-22-2-200000000002-2-22000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ512-2-22-2-22222-2-222-2-2-22-2-22222-2-2-222-2-2-2222-2-22-2-22-2220000000000-222-2000000002-2-22000022-2-2-2-22200000000000000000000000000
χ522-2-22-2-22222-2-222-2-2-22-2-22222-2-2-222-2-2-2222-2-22-2-22-2220000000000-222-200000000-222-20000-2-22222-2-200000000000000000000000000
χ532-2-22-2-2222-1-2-222-2-2-2211-1-12-1-2112-1111-1-1-11-221-2-11-1200003−300−331-1-1133−3−3−3−3332-2-220000-1-11111-1-10000000000003−3−330000000000
χ542-2-22-2-2222-1-2-222-2-2-2211-1-12-1-2112-1111-1-1-11-221-2-11-1200003−300−331-1-1133−3−3−3−333-222-2000011-1-1-1-111000000000000−333−30000000000
χ552-2-22-2-2222-1-2-222-2-2-2211-1-12-1-2112-1111-1-1-11-221-2-11-120000−33003−31-1-11−3−33333−3−32-2-220000-1-11111-1-1000000000000−333−30000000000
χ562-2-22-2-2222-1-2-222-2-2-2211-1-12-1-2112-1111-1-1-11-221-2-11-120000−33003−31-1-11−3−33333−3−3-222-2000011-1-1-1-1110000000000003−3−330000000000
χ572-2-22-2-222-1222-2-2111-1-2-222-121-2-2-1-1111-1-1-11-112-1-22-21003−300−3300-111-13−33−3−33−3300002i−2i−2i2i00000000−i−iiiii−i−i00000000i3−i3−i3i3000000
χ582-2-22-2-222-1222-2-2111-1-2-222-121-2-2-1-1111-1-1-11-112-1-22-21003−300−3300-111-13−33−3−33−330000−2i2i2i−2i00000000ii−i−i−i−iii00000000−i3i3i3−i3000000
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χ954-4-4444-4-4-2-24-44-4-22222222-2-2-2-2-2211-1-1-1-111-2-2-2222-224-4-2-2-2-2222211-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ964-4-4444-4-4-2-24-44-4-22222222-2-2-2-2-2211-1-1-1-111-2-2-2222-22-442222-2-2-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-2-44-44-22222222-2-2-2-2-2211-1-1-1-111222-2-2-22-20000000000-1-1113-3-33-333-3000000000000000000000000000000000000000000
χ984-4-4444-4-4-2-2-44-44-22222222-2-2-2-2-2211-1-1-1-111222-2-2-22-20000000000-1-111-333-33-3-33000000000000000000000000000000000000000000
χ994-4-44-4-4444-244-4-4-4-4-4422-2-24-2-4224-2222-2-2-224-4-242-22-40000000000-222-200000000000000000000000000000000000000000000000000
χ1004-4-44-4-444-24-4-444222-2-4-444-242-4-4-2-2222-2-2-222-2-424-44-200000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-2-244-4-4222-222-2-2-2-2222-21-1-1-1111-1-22-2-22-2220023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000
χ1024-4-44-4-444-2-244-4-4222-222-2-2-2-2222-21-1-1-1111-1-22-2-22-22200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-2-4-444222-222-2-2-2-2222-21-1-1-1111-12-222-22-2-2000023−2300−2323-111-1−3−33333−3−3000000000000000000000000000000000000000000
χ1044-4-44-4-444-2-2-4-444222-222-2-2-2-2222-21-1-1-1111-12-222-22-2-20000−23230023−23-111-133−3−3−3−333000000000000000000000000000000000000000000
χ10588-8-88-88-8-4-400004-44-4-44-4444-4-4442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-40000-4-444-444-44444-4-4222-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-4000044-444-44-444-4-44-42-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-888-8-4-40000-44-4-44-4-444444-4422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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