Finite Group Databasebeta

← Group #11791068

Character table — Group #11791068

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111
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
χ9111-1-1-1-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−i1-1ii−i−i11-1-1ii−i−i1-1
χ10111-1-1-1-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−ii1-1−i−iii11-1-1−i−iii-11
χ11111-1-1-1-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1i−i-11ii−i−i-1-111−i−iii-11
χ12111-1-1-1-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111−ii-11−i−iii-1-111ii−i−i1-1
χ13111-1-1-1-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−ii-11−i−iii-1-111ii−i−i-11
χ14111-1-1-1-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111i−i-11ii−i−i-1-111−i−iii1-1
χ15111-1-1-1-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii1-1−i−iii11-1-1−i−iii1-1
χ16111-1-1-1-11111-11-11111-1-1-11-1-1-1-1-11111-1-1-11-11-1-111-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111i−i1-1ii−i−i11-1-1ii−i−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000002-22-2000022-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-22-220000-2-222-2-22200000000000000000000000000
χ19222222222-1222222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000220000-1-1-1-1000000
χ20222222222-1222222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000-2-200001111000000
χ21222222222-1222222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-10000000000-2-200001111000000
χ22222222222-1222222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000000220000-1-1-1-1000000
χ23222222222-1-2-2-2-222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i32-22-20000-1-111-1-1110000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-22-22000011-1-111-1-10000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i32-22-20000-1-111-1-1110000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-222-1-122-122-1-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-22-22000011-1-111-1-10000000000000000−i3i3−i3i3000000
χ2722222222-122222-1-122-1-12-1-1222-12-1-1-1-1-1-1-1-1-1-1-12222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12200-1-1-1-10000000000
χ2822222222-122222-1-122-1-12-1-1222-12-1-1-1-1-1-1-1-1-1-1-12222-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-20011110000000000
χ2922222222-122222-1-122-1-12-1-1222-12-1-1-1-1-1-1-1-1-1-1-12222-1-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1-2-20011110000000000
χ3022222222-122222-1-122-1-12-1-1222-12-1-1-1-1-1-1-1-1-1-1-12222-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-200000000111111112200-1-1-1-10000000000
χ31222-2-2-2-2222-22-222222-2-2-22-2-2-2-2-22222-2-2-22-2-222-2-222-20000000000-2-222000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ32222-2-2-2-2222-22-222222-2-2-22-2-2-2-2-22222-2-2-22-2-222-2-222-20000000000-2-22200000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ33222-2-2-2-222-12-22-222-1-1-2-212-2111-2-1-1-1-1111-112-2-2-1-11122i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii00000000002-20000-1-111000000
χ34222-2-2-2-222-12-22-222-1-1-2-212-2111-2-1-1-1-1111-112-2-2-1-11122i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i0000000000-22000011-1-1000000
χ35222-2-2-2-222-12-22-222-1-1-2-212-2111-2-1-1-1-1111-112-2-2-1-1112−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii0000000000-22000011-1-1000000
χ36222-2-2-2-222-12-22-222-1-1-2-212-2111-2-1-1-1-1111-112-2-2-1-1112−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i00000000002-20000-1-111000000
χ37222-2-2-2-222-1-22-2222-1-1-2-212-2111-2-1-1-1-1111-11-22211-1-1-200003−300−3311-1-133−3−3−3−3332i−2i−2i2i0000−i−iiiii−i−i0000000000000000−i3i3i3−i3000000
χ38222-2-2-2-222-1-22-2222-1-1-2-212-2111-2-1-1-1-1111-11-22211-1-1-200003−300−3311-1-133−3−3−3−333−2i2i2i−2i0000ii−i−i−i−iii0000000000000000i3−i3−i3i3000000
χ39222-2-2-2-222-1-22-2222-1-1-2-212-2111-2-1-1-1-1111-11-22211-1-1-20000−33003−311-1-1−3−33333−3−32i−2i−2i2i0000−i−iiiii−i−i0000000000000000i3−i3−i3i3000000
χ40222-2-2-2-222-1-22-2222-1-1-2-212-2111-2-1-1-1-1111-11-22211-1-1-20000−33003−311-1-1−3−33333−3−3−2i2i2i−2i0000ii−i−i−i−iii0000000000000000−i3i3i3−i3000000
χ41222-2-2-2-22-122-22-2-1-12211-2-11-2-2-212-1-1-1111-11-11122-2-2-12i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii000022-2-200000000-1-1-1-111112i−2i00−i−iii0000000000
χ42222-2-2-2-22-122-22-2-1-12211-2-11-2-2-212-1-1-1111-11-11122-2-2-12i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000-2-222000000001111-1-1-1-1−2i2i00ii−i−i0000000000
χ43222-2-2-2-22-122-22-2-1-12211-2-11-2-2-212-1-1-1111-11-11122-2-2-1−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i000022-2-200000000-1-1-1-11111−2i2i00ii−i−i0000000000
χ44222-2-2-2-22-122-22-2-1-12211-2-11-2-2-212-1-1-1111-11-11122-2-2-1−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000-2-222000000001111-1-1-1-12i−2i00−i−iii0000000000
χ452-2-22-2-222222-2-22-2-2-2-2-2-22222-2-2222-2-22-2-22222-22-22-2-200000000002-22-2000000000000000000000000000000000000000000002-22-200
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χ472-2-22-2-22222-222-2-2-2-2-2-2-22222-2-2222-2-22-2-222-2-22-22-2220000000000-22-220000000000002-22-20000000022-2-222-2-2000000000000000000
χ482-2-22-2-22222-222-2-2-2-2-2-2-22222-2-2222-2-22-2-222-2-22-22-2220000000000-22-22000000000000-22-2200000000-2-222-2-222000000000000000000
χ492-2-22-2-222-12-222-211-2-2112-1-12-2-2-12-111-111-1-111-1-22-22-100−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i300002-22-200000000-1-111-1-1110000−i3i3−i3i30000000000
χ502-2-22-2-222-12-222-211-2-2112-1-12-2-2-12-111-111-1-111-1-22-22-100−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i30000-22-220000000011-1-111-1-10000i3−i3i3−i30000000000
χ512-2-22-2-222-12-222-211-2-2112-1-12-2-2-12-111-111-1-111-1-22-22-100i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i300002-22-200000000-1-111-1-1110000i3−i3i3−i30000000000
χ522-2-22-2-222-12-222-211-2-2112-1-12-2-2-12-111-111-1-111-1-22-22-100i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i30000-22-220000000011-1-111-1-10000−i3i3−i3i30000000000
χ532-2-2-222-222222-2-2-2-2-2-222-22-2-222-222-2-2-2222-22-222-2-22-200000000002-2-22000000000000000000000000000000000000000000002i−2i−2i2i00
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χ562-2-2-222-2222-2-222-2-2-2-222-22-2-222-222-2-2-2222-2-22-2-222-220000000000-222-2000000000000-222-200000000-2-22222-2-2000000000000000000
χ572-2-2-222-22-12-2-22211-2-2-1-1-2-11-22212-1111-1-1-111-11-222-2-1003−300−33001-1-113−33−3−33−3300002-2-2200000000-1-11111-1-100003−3−330000000000
χ582-2-2-222-22-12-2-22211-2-2-1-1-2-11-22212-1111-1-1-111-11-222-2-1003−300−33001-1-113−33−3−33−330000-222-20000000011-1-1-1-1110000−333−30000000000
χ592-2-2-222-22-12-2-22211-2-2-1-1-2-11-22212-1111-1-1-111-11-222-2-100−33003−3001-1-11−33−333−33−300002-2-2200000000-1-11111-1-10000−333−30000000000
χ602-2-2-222-22-12-2-22211-2-2-1-1-2-11-22212-1111-1-1-111-11-222-2-100−33003−3001-1-11−33−333−33−30000-222-20000000011-1-1-1-11100003−3−330000000000
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χ68444-4-4-4-44-2-24-44-4-2-2-2-2222-222222-2111-1-1-11-1-222-2-222-2−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000
χ69444-4-4-4-44-2-2-44-44-2-2-2-2222-222222-2111-1-1-11-12-2-222-2-22000023−2300−2323-1-111−3−33333−3−3000000000000000000000000000000000000000000
χ70444-4-4-4-44-2-2-44-44-2-2-2-2222-222222-2111-1-1-11-12-2-222-2-220000−23230023−23-1-11133−3−3−3−333000000000000000000000000000000000000000000
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χ904-44-44-44-4-2400002-2-44-22422-44-4-2-4-22-2-2-22220000000000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ914-4-44-4-4444-24-4-44-4-422-4-4-244-2224-2-222-222-2-244-4-22-22-40000000000-22-2200000000000000000000000000000000000000000000000000
χ924-4-44-4-4444-2-444-4-4-422-4-4-244-2224-2-222-222-2-2-4-442-22-2400000000002-22-200000000000000000000000000000000000000000000000000
χ934-4-44-4-444-244-4-4422-4-4224-2-24-4-4-24-222-222-2-2-2-224-44-420000000000-22-2200000000000000000000000000000000000000000000000000
χ944-4-44-4-444-2-24-4-44222222-2-2-2-222-2-21-1-11-1-111-2-22-22-22200000000001-11-13-3-333-3-33000000000000000000000000000000000000000000
χ954-4-44-4-444-2-24-4-44222222-2-2-2-222-2-21-1-11-1-111-2-22-22-22200000000001-11-1-333-3-333-3000000000000000000000000000000000000000000
χ964-4-44-4-444-2-2-444-4222222-2-2-2-222-2-21-1-11-1-11122-22-22-2-200−2i32i300−2i32i300-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ974-4-44-4-444-2-2-444-4222222-2-2-2-222-2-21-1-11-1-11122-22-22-2-2002i3−2i3002i3−2i300-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ984-4-4-444-444-244-4-4-4-4224424-42-2-2-4-2-2222-2-2-224-44-222-2-40000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-444-444-2-4-444-4-4224424-42-2-2-4-2-2222-2-2-22-44-42-2-22400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-444-44-2444-4-422-4-4-2-2-4-22-44424-2222-2-2-22-22-24-4-4420000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-4-444-44-2-244-4-42222-2-22-222-2-22-21-1-1-1111-1-22-2-222-2200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1024-4-4-444-44-2-244-4-42222-2-22-222-2-22-21-1-1-1111-1-22-2-222-2200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1034-4-4-444-44-2-2-4-4442222-2-22-222-2-22-21-1-1-1111-12-222-2-22-20023−2300−232300-111-1−33−333−33−3000000000000000000000000000000000000000000
χ1044-4-4-444-44-2-2-4-4442222-2-22-222-2-22-21-1-1-1111-12-222-2-22-200−23230023−2300-111-13−33−3−33−33000000000000000000000000000000000000000000
χ10588-888-8-8-8-4-40000-44-44-4444-4-4-444422-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-40000-44-444-4-44444-4-4422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-400004-44-44-444-4-44-4442-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-88-8-4-400004-44-4-44-4444-44-442-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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