Finite Group Databasebeta

← Group #11788138

Character table — Group #11788138

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121288888888242424242424242424242424242424242244666612121212224444
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
χ911-1-1-111-11111-1-11-1-1-111-1-1-111-1-11111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-11-11-1i−i
χ1011-1-1-111-11111-1-11-1-1-111-1-1-111-1-11111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111-11-11−ii
χ1111-1-1-111-11111-1-11-1-1-111-1-1-111-1-11111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1-11-11−ii
χ1211-1-1-111-11111-1-11-1-1-111-1-1-111-1-11111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-1111-11-1i−i
χ1311-1-1-111-11111-1-11-1-1-111-1-1-111-1-11111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-1111-11-1−ii
χ1411-1-1-111-11111-1-11-1-1-111-1-1-111-1-11111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1-11-11i−i
χ1511-1-1-111-11111-1-11-1-1-111-1-1-111-1-11111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111-11-11i−i
χ1611-1-1-111-11111-1-11-1-1-111-1-1-111-1-11111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-11-11-1−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
χ19222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-122-1-12-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-122-1-12-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-122-1-12-12-1-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-122222222-1-1-1-1-12-12-12-1-1-1-1-1-1-1-122-1-12-12-1-2-2-2-211-2-211-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ2322222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2422222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2522222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-12-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ2622222222-122222-1-1-1-122222-12-12-1-1-1-1-1-1-1-1-1-1-122-12-12-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ2722-2-2-222-222-2-2222-2-2-222-2-2-222-2-22222-2-2-22-2-2-2-2-222220000000000-2-222000000000000000000000000000000000000000000002-2-2200
χ2822-2-2-222-222-2-2222-2-2-222-2-2-222-2-22222-2-2-22-2-2-2-2-222220000000000-2-22200000000000000000000000000000000000000000000-222-200
χ2922-2-2-222-22-122-2-22-2-2-2-1-11112-1-212-1-1-1111-1122-1-1-21-212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii000000002-200-1-1110000000000
χ3022-2-2-222-22-122-2-22-2-2-2-1-11112-1-212-1-1-1111-1122-1-1-21-212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i00000000-220011-1-10000000000
χ3122-2-2-222-22-122-2-22-2-2-2-1-11112-1-212-1-1-1111-1122-1-1-21-21−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii00000000-220011-1-10000000000
χ3222-2-2-222-22-122-2-22-2-2-2-1-11112-1-212-1-1-1111-1122-1-1-21-21−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i000000002-200-1-1110000000000
χ3322-2-2-222-2-1222-2-2-111122-2-2-2-121-2-1-1-1-1111-11-1-1221-21-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii002-20000-1-111000000
χ3422-2-2-222-2-1222-2-2-111122-2-2-2-121-2-1-1-1-1111-11-1-1221-21-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i00-22000011-1-1000000
χ3522-2-2-222-2-1222-2-2-111122-2-2-2-121-2-1-1-1-1111-11-1-1221-21-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii00-22000011-1-1000000
χ3622-2-2-222-2-1222-2-2-111122-2-2-2-121-2-1-1-1-1111-11-1-1221-21-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i002-20000-1-111000000
χ372-22-22-22-2222-22-2-22-2-2-2-22-2-22222-22-2-22-2-2222-22-222-2-200000000002-22-20000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ382-22-22-22-2222-22-2-22-2-2-2-22-2-22222-22-2-22-2-2222-22-222-2-200000000002-22-2000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ392-22-22-22-222-22-22-22-2-2-2-22-2-22222-22-2-22-2-222-22-22-2-2220000000000-22-22000000002-22-2000022-2-222-2-200000000000000000000000000
χ402-22-22-22-222-22-22-22-2-2-2-22-2-22222-22-2-22-2-222-22-22-2-2220000000000-22-2200000000-22-220000-2-222-2-22200000000000000000000000000
χ412-22-22-22-22-1-22-22-22-2-211-1112-12-1-2-111-111-1-1-221-1-212-10000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i32-22-20000-1-111-1-111000000000000−i3i3−i3i30000000000
χ422-22-22-22-22-1-22-22-22-2-211-1112-12-1-2-111-111-1-1-221-1-212-10000−i3i300−i3i31-11-1−i3−i3i3i3−i3−i3i3i3-22-22000011-1-111-1-1000000000000i3−i3i3−i30000000000
χ432-22-22-22-22-1-22-22-22-2-211-1112-12-1-2-111-111-1-1-221-1-212-10000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i32-22-20000-1-111-1-111000000000000i3−i3i3−i30000000000
χ442-22-22-22-22-1-22-22-22-2-211-1112-12-1-2-111-111-1-1-221-1-212-10000i3−i300i3−i31-11-1i3i3−i3−i3i3i3−i3−i3-22-22000011-1-111-1-1000000000000−i3i3−i3i30000000000
χ452-22-22-22-2-122-22-21-111-2-22-2-2-12-121-111-111-1-1-112-2-121-200−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i00000000−i−iii−i−iii000000003−33−3000000
χ462-22-22-22-2-122-22-21-111-2-22-2-2-12-121-111-111-1-1-112-2-121-200−i3i300−i3i300-11-11−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i00000000ii−i−iii−i−i00000000−33−33000000
χ472-22-22-22-2-122-22-21-111-2-22-2-2-12-121-111-111-1-1-112-2-121-200i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i00000000−i−iii−i−iii00000000−33−33000000
χ482-22-22-22-2-122-22-21-111-2-22-2-2-12-121-111-111-1-1-112-2-121-200i3−i300i3−i300-11-11i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i00000000ii−i−iii−i−i000000003−33−3000000
χ492-2-22-2-222222-2-22-2-222-2-2-22222-2-2-22-2-2-2222-22-22-2-2-22200000000002-2-220000000000002-2-220000000022-2-2-2-222000000000000000000
χ502-2-22-2-222222-2-22-2-222-2-2-22222-2-2-22-2-2-2222-22-22-2-2-22200000000002-2-22000000000000-222-200000000-2-22222-2-2000000000000000000
χ512-2-22-2-22222-222-2-2-222-2-2-22222-2-2-22-2-2-2222-2-22-2222-2-20000000000-222-2000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ522-2-22-2-22222-222-2-2-222-2-2-22222-2-2-22-2-2-2222-2-22-2222-2-20000000000-222-200000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ532-2-22-2-2222-1-222-2-2-222111-1-12-1-21-2-1111-1-1-11-221-12-1-2100003−300−331-1-1133−3−3−3−3332i−2i−2i2i0000−i−iiiii−i−i000000000000−i3i3i3−i30000000000
χ542-2-22-2-2222-1-222-2-2-222111-1-12-1-21-2-1111-1-1-11-221-12-1-2100003−300−331-1-1133−3−3−3−333−2i2i2i−2i0000ii−i−i−i−iii000000000000i3−i3−i3i30000000000
χ552-2-22-2-2222-1-222-2-2-222111-1-12-1-21-2-1111-1-1-11-221-12-1-210000−33003−31-1-11−3−33333−3−32i−2i−2i2i0000−i−iiiii−i−i000000000000i3−i3−i3i30000000000
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χ572-2-22-2-222-122-2-2211-1-1-2-2-222-121-21-1111-1-1-11-112-21-2-12003−300−3300-111-13−33−3−33−3300002-2-2200000000-1-11111-1-100000000−333−3000000
χ582-2-22-2-222-122-2-2211-1-1-2-2-222-121-21-1111-1-1-11-112-21-2-12003−300−3300-111-13−33−3−33−330000-222-20000000011-1-1-1-111000000003−3−33000000
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χ8244-4-4-444-4-2-2-4-444-2222-2-2222-2-222-2111-1-1-11-12222-2-2-2-20000000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
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χ874-44-44-44-4-2-2-44-442-22222-222-2-2-2-221-1-11-1-1112-22-222-2-20000−2i32i300−2i32i3-11-11i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ884-44-44-44-4-2-2-44-442-22222-222-2-2-2-221-1-11-1-1112-22-222-2-200002i3−2i3002i3−2i3-11-11−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ894-44-4-44-44440000-44-44-444-44-4-4-4-444-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-4-44-444-20000-44-442-2-22-2-42-424-22-2-22-222000000000000000000000000000000000000006−6−666−6−6600000000000000000000000000
χ914-44-4-44-444-20000-44-442-2-22-2-42-424-22-2-22-22200000000000000000000000000000000000000−666−6−666−600000000000000000000000000
χ924-44-4-44-44-2400002-22-2-444-442-42-4-2-22-2-22-22200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000
χ934-44-4-44-44-2400002-22-2-444-442-42-4-2-22-2-22-2220000000000000000000000000000000000000000000000−666−6−666−6000000000000000000
χ944-4-4444-4-4440000-4-44-4-44-44-4-4-44444-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-4444-4-44-20000-4-44-42-22-22-424-24-22-22-222-200000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ964-4-4444-4-44-20000-4-44-42-22-22-424-24-22-22-222-200000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ974-4-4444-4-4-24000022-22-44-44-42-4-24-2-22-22-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ984-4-4444-4-4-24000022-22-44-44-42-4-24-2-22-22-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ994-4-44-4-4444-24-4-44-4-444222-2-24-2-42-4-2222-2-2-224-4-22-424-20000000000-222-200000000000000000000000000000000000000000000000000
χ1004-4-44-4-444-24-444-422-2-2-4-4-444-242-42-2222-2-2-222-2-44-242-400000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-2-24-4-4422-2-2222-2-2-2-22221-1-1-1111-1-22-2222-2-20023−2300−2323001-1-11−33−333−33−3000000000000000000000000000000000000000000
χ1024-4-44-4-444-2-24-4-4422-2-2222-2-2-2-22221-1-1-1111-1-22-2222-2-200−23230023−23001-1-113−33−3−33−33000000000000000000000000000000000000000000
χ1034-4-44-4-444-2-2-444-422-2-2222-2-2-2-22221-1-1-1111-12-22-2-2-222000023−2300−2323-111-1−3−33333−3−3000000000000000000000000000000000000000000
χ1044-4-44-4-444-2-2-444-422-2-2222-2-2-2-22221-1-1-1111-12-22-2-2-2220000−23230023−23-111-133−3−3−3−333000000000000000000000000000000000000000000
χ1058888-8-8-8-8-4-40000-4-4-44-44-4-444444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-40000-444-4-4444-444-4-4422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-400004-44-44-4-44-44444-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8888-8-8-4-4000044-444-44-4444-4-4-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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