Finite Group Databasebeta

← Group #11791070

Character table — Group #11791070

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
χ9111-1-1-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-1ii−i−i1-1
χ10111-1-1-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiii−i-11ii−i−i-1-111−i−iii-11
χ11111-1-1-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ii1-1−i−iii11-1-1−i−iii-11
χ12111-1-1-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−ii-11−i−iii-1-111ii−i−i1-1
χ13111-1-1-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ii-11−i−iii-1-111ii−i−i-11
χ14111-1-1-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii1-1−i−iii11-1-1−i−iii1-1
χ15111-1-1-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−ii−i-11ii−i−i-1-111−i−iii1-1
χ16111-1-1-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−i1-1ii−i−i11-1-1ii−i−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000000000002-22-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000000000-22-2200
χ19222222222-1222222-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-1222222-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-1222222-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-1222222-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ2322222222-122222-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2422222222-122222-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2522222222-122222-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ2622222222-122222-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ27222-2-2-2-2222-22-222222-2-2-2-2-22-2-2-22222-2-2-22-2-222-2-22-220000000000-2-222000000000000000000000000000000000000000000002i−2i−2i2i00
χ28222-2-2-2-2222-22-222222-2-2-2-2-22-2-2-22222-2-2-22-2-222-2-22-220000000000-2-22200000000000000000000000000000000000000000000−2i2i2i−2i00
χ29222-2-2-2-222-12-22-222-1-1-2-2-211-1-2112-1-1-1111-11-11122-2-1-22i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii22-2-20000-1-1-1-11111000000002i−2i00−i−iii0000000000
χ30222-2-2-2-222-12-22-222-1-1-2-2-211-1-2112-1-1-1111-11-11122-2-1-22i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii-2-22200001111-1-1-1-100000000−2i2i00ii−i−i0000000000
χ31222-2-2-2-222-12-22-222-1-1-2-2-211-1-2112-1-1-1111-11-11122-2-1-2−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i22-2-20000-1-1-1-1111100000000−2i2i00ii−i−i0000000000
χ32222-2-2-2-222-12-22-222-1-1-2-2-211-1-2112-1-1-1111-11-11122-2-1-2−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i-2-22200001111-1-1-1-1000000002i−2i00−i−iii0000000000
χ33222-2-2-2-22-122-22-2-1-122111-2-221-2-2-1-1-1-1111-112-2-2-1-11212i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii002-20000-1-111000000
χ34222-2-2-2-22-122-22-2-1-122111-2-221-2-2-1-1-1-1111-112-2-2-1-11212i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i00-22000011-1-1000000
χ35222-2-2-2-22-122-22-2-1-122111-2-221-2-2-1-1-1-1111-112-2-2-1-1121−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii00-22000011-1-1000000
χ36222-2-2-2-22-122-22-2-1-122111-2-221-2-2-1-1-1-1111-112-2-2-1-1121−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i002-20000-1-111000000
χ372-2-222-2-22222-2-22-2-2-2-22-2-2-2-2222222-2-22-2-22222-22-2-2-2200000000002-22-20000000000002-22-20000000022-2-222-2-2000000000000000000
χ382-2-222-2-22222-2-22-2-2-2-22-2-2-2-2222222-2-22-2-22222-22-2-2-2200000000002-22-2000000000000-22-2200000000-2-222-2-222000000000000000000
χ392-2-222-2-2222-222-2-2-2-2-22-2-2-2-2222222-2-22-2-222-2-22-2222-20000000000-22-22000000002-22-2000022-2-222-2-200000000000000000000000000
χ402-2-222-2-2222-222-2-2-2-2-22-2-2-2-2222222-2-22-2-222-2-22-2222-20000000000-22-2200000000-22-220000-2-222-2-22200000000000000000000000000
χ412-2-222-2-222-1-222-2-2-2112-2-211-12-1-12-111-111-1-111-1-222-1-20000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i32-22-20000-1-111-1-111000000000000−i3i3−i3i30000000000
χ422-2-222-2-222-1-222-2-2-2112-2-211-12-1-12-111-111-1-111-1-222-1-20000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i3-22-22000011-1-111-1-1000000000000i3−i3i3−i30000000000
χ432-2-222-2-222-1-222-2-2-2112-2-211-12-1-12-111-111-1-111-1-222-1-20000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i32-22-20000-1-111-1-111000000000000i3−i3i3−i30000000000
χ442-2-222-2-222-1-222-2-2-2112-2-211-12-1-12-111-111-1-111-1-222-1-20000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i3-22-22000011-1-111-1-1000000000000−i3i3−i3i30000000000
χ452-2-222-2-22-122-2-2211-2-2-111-2-22-122-1-111-111-1-122-2-111-2-100−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i300002-22-200000000-1-111-1-11100000000−i3i3−i3i3000000
χ462-2-222-2-22-122-2-2211-2-2-111-2-22-122-1-111-111-1-122-2-111-2-100−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i30000-22-220000000011-1-111-1-100000000i3−i3i3−i3000000
χ472-2-222-2-22-122-2-2211-2-2-111-2-22-122-1-111-111-1-122-2-111-2-100i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i300002-22-200000000-1-111-1-11100000000i3−i3i3−i3000000
χ482-2-222-2-22-122-2-2211-2-2-111-2-22-122-1-111-111-1-122-2-111-2-100i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i30000-22-220000000011-1-111-1-100000000−i3i3−i3i3000000
χ492-2-2-2-22222222-2-2-2-2-2-2-222222-2-2-222-2-2-2222-22-222-22-2-200000000002-2-220000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ502-2-2-2-22222222-2-2-2-2-2-2-222222-2-2-222-2-2-2222-22-222-22-2-200000000002-2-22000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ512-2-2-2-222222-2-222-2-2-2-2-222222-2-2-222-2-2-2222-2-22-2-22-2220000000000-222-2000000002-2-22000022-2-2-2-22200000000000000000000000000
χ522-2-2-2-222222-2-222-2-2-2-2-222222-2-2-222-2-2-2222-2-22-2-22-2220000000000-222-200000000-222-20000-2-22222-2-200000000000000000000000000
χ532-2-2-2-22222-1-2-222-2-211-222-1-1-1-2112-1111-1-1-111-11-22-2-1200003−300−331-1-1133−3−3−3−3332-2-220000-1-11111-1-10000000000003−3−330000000000
χ542-2-2-2-22222-1-2-222-2-211-222-1-1-1-2112-1111-1-1-111-11-22-2-1200003−300−331-1-1133−3−3−3−333-222-2000011-1-1-1-111000000000000−333−30000000000
χ552-2-2-2-22222-1-2-222-2-211-222-1-1-1-2112-1111-1-1-111-11-22-2-120000−33003−31-1-11−3−33333−3−32-2-220000-1-11111-1-1000000000000−333−30000000000
χ562-2-2-2-22222-1-2-222-2-211-222-1-1-1-2112-1111-1-1-111-11-22-2-120000−33003−31-1-11−3−33333−3−3-222-2000011-1-1-1-1110000000000003−3−330000000000
χ572-2-2-2-2222-1222-2-211-2-21-1-12221-2-2-1-1111-1-1-112-22-11-1-21003−300−3300-111-13−33−3−33−3300002i−2i−2i2i00000000−i−iiiii−i−i00000000−i3i3i3−i3000000
χ582-2-2-2-2222-1222-2-211-2-21-1-12221-2-2-1-1111-1-1-112-22-11-1-21003−300−3300-111-13−33−3−33−330000−2i2i2i−2i00000000ii−i−i−i−iii00000000i3−i3−i3i3000000
χ592-2-2-2-2222-1222-2-211-2-21-1-12221-2-2-1-1111-1-1-112-22-11-1-2100−33003−300-111-1−33−333−33−300002i−2i−2i2i00000000−i−iiiii−i−i00000000i3−i3−i3i3000000
χ602-2-2-2-2222-1222-2-211-2-21-1-12221-2-2-1-1111-1-1-112-22-11-1-2100−33003−300-111-1−33−333−33−30000−2i2i2i−2i00000000ii−i−i−i−iii00000000−i3i3i3−i3000000
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χ6444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ71444-4-4-4-44-2-2-44-44-2-2-2-222222-2222-2111-1-1-11-12-2-222-22-20000000000-1-1113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ72444-4-4-4-44-2-2-44-44-2-2-2-222222-2222-2111-1-1-11-12-2-222-22-20000000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
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χ904-44-444-4-44-20000-442-244-4-222-42-2-4-22-2-2-222200000000000000000000000000000000000000−666−66−6−6600000000000000000000000000
χ914-44-444-4-4-2400002-2-44-2-224-4-42-442-22-2-2-22220000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ924-44-444-4-4-2400002-2-44-2-224-4-42-442-22-2-2-22220000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ934-4-444-4-444-24-4-44-4-4224-4-422-24-2-24-222-222-2-2-2-224-4-4240000000000-22-2200000000000000000000000000000000000000000000000000
χ944-4-444-4-44-24-444-422-4-4-222-4-44-244-2-222-222-2-2-4-442-2-24200000000002-22-200000000000000000000000000000000000000000000000000
χ954-4-444-4-44-2-24-4-442222-22222-2-2-2-2-21-1-11-1-111-2-22-2222-200−2i32i300−2i32i3001-11-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ964-4-444-4-44-2-24-4-442222-22222-2-2-2-2-21-1-11-1-111-2-22-2222-2002i3−2i3002i3−2i3001-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ974-4-444-4-44-2-2-444-42222-22222-2-2-2-2-21-1-11-1-11122-22-2-2-220000−2i32i300−2i32i3-11-11i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ984-4-444-4-44-2-2-444-42222-22222-2-2-2-2-21-1-11-1-11122-22-2-2-2200002i3−2i3002i3−2i3-11-11−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ994-4-4-4-44444-244-4-4-4-422-444-2-2-2-4224-2222-2-2-22-22-24-442-40000000000-222-200000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-24-4-44422-4-42-2-24442-4-4-2-2222-2-2-22-44-42-224-200000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-244-4-422222-2-2-2-2-2222-21-1-1-1111-1-22-2-22-2220023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-244-4-422222-2-2-2-2-2222-21-1-1-1111-1-22-2-22-22200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-2-4-44422222-2-2-2-2-2222-21-1-1-1111-12-222-22-2-2000023−2300−2323-111-1−3−33333−3−3000000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-2-4-44422222-2-2-2-2-2222-21-1-1-1111-12-222-22-2-20000−23230023−23-111-133−3−3−3−333000000000000000000000000000000000000000000
χ10588-88-88-8-8-4-40000-44-444-44-444-4-44422-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-40000-44-44-44-44-4444-4422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-400004-44-444-44-44-4-4442-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-888-8-8-4-400004-44-4-4-44-44444-442-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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