Finite Group Databasebeta

← Group #11808349

Character table — Group #11808349

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222244444444444444444444444444121212121212121212121212121212121212121212121212363636361111111122222222222222224444444444444444444444444412121212121212121212121212121212121212121212121236363636
order1222222233666666666666663446666666121212121212121212121212121212124444444412121212121212121212121212121212444422222222666666666666666664466666661212121212121212121212121212121244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222-122222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000222222222-122222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
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χ11222222222-122222-1-1-1-12-1-1-12-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000222222222-122222-1-1-1-12-1-1-12-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000
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χ1322222222-12-1-1-1-1-12222-1222-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000022222222-12-1-1-1-1-12222-1222-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ1422222222-12-1-1-1-1-12222-1222-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000022222222-12-1-1-1-1-12222-1222-1-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ1522222222-12-1-1-1-1-12222-1222-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-11111000022222222-12-1-1-1-1-12222-1222-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-111110000
χ1622222222-12-1-1-1-1-12222-1222-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-1000022222222-12-1-1-1-1-12222-1222-1-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-10000
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χ1222-22-2-222-2-121-111-1-22-2-2-12-221-1001-111-11-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3000000−2i2i00000000−33−33i−ii−i0000-22-222-2-221-2-11-1-112-2221-22-2-1100-11-1-11-11i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i30000002i−2i000000003−33−3−ii−ii0000
χ1232-22-2-222-2-121-111-1-22-2-2-12-221-1001-111-11-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i30000002i−2i00000000−33−33−ii−ii0000-22-222-2-221-2-11-1-112-2221-22-2-1100-11-1-11-11−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3000000−2i2i000000003−33−3i−ii−i0000
χ1242-22-2-222-2-121-111-1-22-2-2-12-221-1001-111-11-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3000000−2i2i000000003−33−3i−ii−i0000-22-222-2-221-2-11-1-112-2221-22-2-1100-11-1-11-11−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i30000002i−2i00000000−33−33−ii−ii0000
χ1252-2-222-22-222-2-222-2-2-22-2222-2-2200-2-222-2-22000000000000000000002i−2i00000000002i−2i−2i2i00000000-222-2-22-22-2-222-2-2222-22-2-2-222-20022-2-222-200000000000000000000−2i2i0000000000−2i2i2i−2i00000000
χ1262-2-222-22-222-2-222-2-2-22-2222-2-2200-2-222-2-2200000000000000000000−2i2i0000000000−2i2i2i−2i00000000-222-2-22-22-2-222-2-2222-22-2-2-222-20022-2-222-2000000000000000000002i−2i00000000002i−2i−2i2i00000000
χ1272-2-222-22-2-1211-1-11-2-22-2-122-21-10011-1-111-1−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i300002i−2i0000000000−iii−i3−3−330000-222-2-22-221-2-1-111-122-221-2-22-1100-1-111-1-11i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i30000−2i2i0000000000i−i−ii−333−30000
χ1282-2-222-22-2-1211-1-11-2-22-2-122-21-10011-1-111-1−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i30000−2i2i0000000000i−i−ii−333−30000-222-2-22-221-2-1-111-122-221-2-22-1100-1-111-1-11i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i300002i−2i0000000000−iii−i3−3−330000
χ1292-2-222-22-2-1211-1-11-2-22-2-122-21-10011-1-111-1i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i300002i−2i0000000000−iii−i−333−30000-222-2-22-221-2-1-111-122-221-2-22-1100-1-111-1-11−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i30000−2i2i0000000000i−i−ii3−3−330000
χ1302-2-222-22-2-1211-1-11-2-22-2-122-21-10011-1-111-1i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i30000−2i2i0000000000i−i−ii3−3−330000-222-2-22-221-2-1-111-122-221-2-22-1100-1-111-1-11−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i300002i−2i0000000000−iii−i−333−30000
χ1312-2-2-222-2222-2-22-22-2-2-22-2-2222200-2-22-222-20000000000000000000000000000000000000000002-2-2222-2-22-2-2-222-22-2222-222-2-2-2-20022-22-2-22000000000000000000000000000000000000000000-22
χ1322-2-2-222-2222-2-22-22-2-2-22-2-2222200-2-22-222-2000000000000000000000000000000000000000000-22-2222-2-22-2-2-222-22-2222-222-2-2-2-20022-22-2-220000000000000000000000000000000000000000002-2
χ13344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000-4-4-4-4-4-4-4-42222222222222222-1-4-4-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ13444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000-4-4-4-4-4-4-4-42222222222222222-144-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ135444-44-4-4-4-24-2-2-22244-4-42-44-42-200-2-2-2222200000000000000000000000000000000000000000000-4-4-44-44442-4222-2-2-4-444-24-44-2200222-2-2-2-200000000000000000000000000000000000000000000
χ136444-44-4-4-4-2-2-2-2-222-2-22222-222100111-1-1-1-100002323−23−23−3−3−3−333330000000000000000000000000000-4-4-44-444422222-2-222-2-2-2-22-2-2-100-1-1-111110000−23−2323233333−3−3−3−30000000000000000000000000000
χ137444-44-4-4-4-2-2-2-2-222-2-22222-222100111-1-1-1-10000−23−2323233333−3−3−3−30000000000000000000000000000-4-4-44-444422222-2-222-2-2-2-22-2-2-100-1-1-1111100002323−23−23−3−3−3−333330000000000000000000000000000
χ13844-44-44-4-4-24-222-2-24-44-42-4-442-200-222-2-22200000000000000000000000000000000000000000000-4-44-44-4442-42-2-222-44-44-244-4-22002-2-222-2-200000000000000000000000000000000000000000000
χ13944-44-44-4-4-2-2-222-2-2-22-22222-221001-1-111-1-1000023−2323−23−3−333−3−3330000000000000000000000000000-4-44-44-444222-2-2222-22-2-2-2-22-2-100-111-1-1110000−2323−232333−3−333−3−30000000000000000000000000000
χ14044-44-44-4-4-2-2-222-2-2-22-22222-221001-1-111-1-10000−2323−232333−3−333−3−30000000000000000000000000000-4-44-44-444222-2-2222-22-2-2-2-22-2-100-111-1-111000023−2323−23−3−333−3−3330000000000000000000000000000
χ14144-4-4-4-444-2-2-22222-222-2-2-222-214-41-1-1-1-111-2-222-222-211-1-1-1-1110000000000000000000000000000-4-44444-4-4222-2-2-2-22-2-2222-2-22-1-44-11111-1-122-2-22-2-22-1-11111-1-10000000000000000000000000000
χ14244-4-4-4-444-2-2-22222-222-2-2-222-21-441-1-1-1-11122-2-22-2-22-1-11111-1-10000000000000000000000000000-4-44444-4-4222-2-2-2-22-2-2222-2-22-14-4-11111-1-1-2-222-222-211-1-1-1-1110000000000000000000000000000
χ1434-444-4-4-444-2-44-44-42-2-2-2-42224-2002-22-22-2200000000000000000000000000000000000000000000-44-4-4444-4-424-44-44-22224-2-2-2-4200-22-22-22-200000000000000000000000000000000000000000000
χ1444-444-4-4-44-242-22-22-44442-4-4-4-2-2002-22-22-2200000000000000000000000000000000000000000000-44-4-4444-42-4-22-22-24-4-4-4-24442200-22-22-22-200000000000000000000000000000000000000000000
χ1454-444-4-4-44-2-22-22-222-2-2-22222-2100-11-11-11-1000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000-44-4-4444-422-22-22-2-2222-2-2-2-22-1001-11-11-1100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000
χ1464-444-4-4-44-2-22-22-222-2-2-22222-2100-11-11-11-100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000-44-4-4444-422-22-22-2-2222-2-2-2-22-1001-11-11-11000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000
χ1474-44-4-444-44-2-44-4-442-2224-22-2-4-2002-222-22-200000000000000000000000000000000000000000000-44-444-4-44-424-444-4-22-2-2-42-224200-22-2-22-2200000000000000000000000000000000000000000000
χ1484-44-4-444-4-2-22-222-22-222-2-22-22100-11-1-11-11−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000-44-444-4-4422-22-2-22-22-2-222-22-2-1001-111-11-12i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ1494-44-4-444-4-2-22-222-22-222-2-22-22100-11-1-11-112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000-44-444-4-4422-22-2-22-22-2-222-22-2-1001-111-11-1−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ1504-4-444-44-44-2-4-444-422-224-2-22-4-20022-2-222-200000000000000000000000000000000000000000000-444-4-44-44-4244-4-44-2-22-2-422-24200-2-222-2-2200000000000000000000000000000000000000000000
χ1514-4-444-44-4-2-222-2-2222-22-2-2-222100-1-111-1-11−2i32i32i3−2i30000i3−i3−i3i3−i3i3i3−i30000000000000000000000000000-444-4-44-4422-2-222-2-2-22-2222-2-2-10011-1-111-12i3−2i3−2i32i30000−i3i3i3−i3i3−i3−i3i30000000000000000000000000000
χ1524-4-444-44-4-2-222-2-2222-22-2-2-222100-1-111-1-112i3−2i3−2i32i30000−i3i3i3−i3i3−i3−i3i30000000000000000000000000000-444-4-44-4422-2-222-2-2-22-2222-2-2-10011-1-111-1−2i32i32i3−2i30000i3−i3−i3i3−i3i3i3−i30000000000000000000000000000
χ1534-4-4-444-444-2-4-44-44222-2-42-2-24-20022-22-2-2200000000000000000000000000000000000000000000-4444-4-44-4-4244-44-4-2-2-224-222-4200-2-22-222-200000000000000000000000000000000000000000000
χ1544-4-4-444-44-2422-22-2-4-4-442-444-2-20022-22-2-2200000000000000000000000000000000000000000000-4444-4-44-42-4-2-22-22444-4-24-4-42200-2-22-222-200000000000000000000000000000000000000000000
χ1554-4-4-444-44-2-222-22-2222-222-2-2-2100-1-11-111-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000-4444-4-44-422-2-22-22-2-2-22-2-2222-10011-11-1-1100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000
χ1564-4-4-444-44-2-222-22-2222-222-2-2-2100-1-11-111-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000-4444-4-44-422-2-22-22-2-2-22-2-2222-10011-11-1-11000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000

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