Finite Group Databasebeta

← Group #11866708

Character table — Group #11866708

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order122233446666668888366612121212121212122424242424242424242424242424242422448888244466121212121212222266446666668888666612121212121212122424242424242424242424242424242422448888244466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1
χ611111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111
χ711111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ811111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ9222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000
χ10222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000
χ1122222-1222-1-12-122222-1-1-1-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002200-1-1-1-1000022222-1222-1-12-122222-1-1-1-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002200-1-1-1-10000
χ1222222-1222-1-12-122222-1-1-1-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2001111000022222-1222-1-12-122222-1-1-1-1-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-20011110000
χ1322222-1222-1-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2-2-2111111111111000000002-200-1-111000022222-1222-1-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2-2-2111111111111000000002-200-1-1110000
χ1422222-1222-1-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2-2-211111111111100000000-220011-1-1000022222-1222-1-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2-2-211111111111100000000-220011-1-10000
χ152222-1222-122-12-12222-1-1-1-12-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000220000-1-1-1-12222-1222-122-12-12222-1-1-1-12-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000220000-1-1-1-1
χ162222-1222-122-12-12222-1-1-1-12-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-2-2000011112222-1222-122-12-12222-1-1-1-12-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-2-200001111
χ172222-1222-122-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-11111-2-2-2-21111111100000000002-20000-1-1112222-1222-122-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-11111-2-2-2-21111111100000000002-20000-1-111
χ182222-1222-122-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-11111-2-2-2-2111111110000000000-22000011-1-12222-1222-122-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-11111-2-2-2-2111111110000000000-22000011-1-1
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χ282-2-22222-2-2-22-2-22−2i2i2i−2i2-2-222222-2-2-2-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000002-2-22222-2-2-22-2-22−2i2i2i−2i2-2-222222-2-2-2-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ292-2-2222-22-2-22-2-2200002-2-22-2-2-2-22222000000000000000000002-2-220000000000002-2-2222-22-2-22-2-2200002-2-22-2-2-2-22222000000000000000000002-2-22000000000000
χ302-2-2222-22-2-22-2-2200002-2-22-2-2-2-2222200000000000000000000-222-20000000000002-2-2222-22-2-22-2-2200002-2-22-2-2-2-2222200000000000000000000-222-2000000000000
χ312-2-222-12-2-21-1-2122i−2i−2i2i-111-1-12-1-11-2112i−2i−2i2i−iii−i−i−iiiii−i−i000000000000−i3i33−300002-2-222-12-2-21-1-2122i−2i−2i2i-111-1-12-1-11-2112i−2i−2i2i−iii−i−i−iiiii−i−i000000000000−i3i33−30000
χ322-2-222-12-2-21-1-2122i−2i−2i2i-111-1-12-1-11-2112i−2i−2i2i−iii−i−i−iiiii−i−i000000000000i3−i3−3300002-2-222-12-2-21-1-2122i−2i−2i2i-111-1-12-1-11-2112i−2i−2i2i−iii−i−i−iiiii−i−i000000000000i3−i3−330000
χ332-2-222-12-2-21-1-212−2i2i2i−2i-111-1-12-1-11-211−2i2i2i−2ii−i−iiii−i−i−i−iii000000000000−i3i3−3300002-2-222-12-2-21-1-212−2i2i2i−2i-111-1-12-1-11-211−2i2i2i−2ii−i−iiii−i−i−i−iii000000000000−i3i3−330000
χ342-2-222-12-2-21-1-212−2i2i2i−2i-111-1-12-1-11-211−2i2i2i−2ii−i−iiii−i−i−i−iii000000000000i3−i33−300002-2-222-12-2-21-1-212−2i2i2i−2i-111-1-12-1-11-211−2i2i2i−2ii−i−iiii−i−i−i−iii000000000000i3−i33−30000
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χ3944444-2-4-44-2-24-240000-2-2-2-22-4222-42200000000000000000000000000000000000044444-2-4-44-2-24-240000-2-2-2-22-4222-422000000000000000000000000000000000000
χ404444-24-4-4-244-24-20000-2-2-2-2-4222-42220000000000000000000000000000000000004444-24-4-4-244-24-20000-2-2-2-2-4222-4222000000000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-244441111-2-211-2-211-2-2-2-2-2-2-2-211111111000000000000000000004444-2-244-2-2-2-2-2-244441111-2-211-2-211-2-2-2-2-2-2-2-21111111100000000000000000000
χ424444-2-244-2-2-2-2-2-2-4-4-4-41111-2-211-2-21122222222-1-1-1-1-1-1-1-1000000000000000000004444-2-244-2-2-2-2-2-2-4-4-4-41111-2-211-2-21122222222-1-1-1-1-1-1-1-100000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.