Finite Group Databasebeta

← Group #11874927

Character table — Group #11874927

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order1222334466666688883666121212121212121224242424242424242424242424242424444488884444121212121212121222226644666666888866661212121212121212242424242424242424242424242424244444888844441212121212121212
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
χ1122222-1222-122-1-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-122222-1222-122-1-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000220000-1-1-1-1
χ1222222-1222-122-1-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-20000111122222-1222-122-1-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200001111
χ1322222-1222-122-1-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000002-20000-1-11122222-1222-122-1-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000002-20000-1-111
χ1422222-1222-122-1-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-21111111111110000000000-22000011-1-122222-1222-122-1-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-21111111111110000000000-22000011-1-1
χ152222-1222-12-1-1222222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002200-1-1-1-100002222-1222-12-1-1222222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002200-1-1-1-10000
χ162222-1222-12-1-1222222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-200111100002222-1222-12-1-1222222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-20011110000
χ172222-1222-12-1-122-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-211111111000000002-200-1-11100002222-1222-12-1-122-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-211111111000000002-200-1-1110000
χ182222-1222-12-1-122-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-21111111100000000-220011-1-100002222-1222-12-1-122-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-21111111100000000-220011-1-10000
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χ2422-2-22-12-22-1-2-21122-2-2-111-1-21112-1-1-122-2-2-1-111-1-1-1-111110000000000000000−33−3322-2-22-12-22-1-2-21122-2-2-111-1-21112-1-1-122-2-2-1-111-1-1-1-111110000000000000000−33−33
χ2522-2-22-12-22-1-2-211-2-222-111-1-21112-1-1-1-2-22211-1-11111-1-1-1-100000000000000003−3−3322-2-22-12-22-1-2-211-2-222-111-1-21112-1-1-1-2-22211-1-11111-1-1-1-100000000000000003−3−33
χ2622-2-22-12-22-1-2-211-2-222-111-1-21112-1-1-1-2-22211-1-11111-1-1-1-10000000000000000−333−322-2-22-12-22-1-2-211-2-222-111-1-21112-1-1-1-2-22211-1-11111-1-1-1-10000000000000000−333−3
χ2722-2-2-122-2-1211-2-222-2-2-111-11-211-12-1-1-1-11122-2-2-1-1-1-111110000000000003−33−3000022-2-2-122-2-1211-2-222-2-2-111-11-211-12-1-1-1-11122-2-2-1-1-1-111110000000000003−33−30000
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χ3022-2-2-122-2-1211-2-2-2-222-111-11-211-12-1-111-1-1-2-2221111-1-1-1-1000000000000−333−3000022-2-2-122-2-1211-2-2-2-222-111-11-211-12-1-111-1-1-2-2221111-1-1-1-1000000000000−333−30000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.