Finite Group Databasebeta

← Group #11808481

Character table — Group #11808481

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222244444444444444444412121212121212122222222244444444888888888888888888242424242424242433333333666666661212121212121212121212121212121212123636363636363636
order122222223666666622444466661212121212121212444444443666666636666666661212121266661212121212121212121212121212121222222222666666662244446666121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ132222-2-2-2-22222-2-2-2-22-2000022-2-200000000000000002222-2-2-2-22222-2-2-2-22-2000022-2-200000000000000002222-2-2-2-22222-2-2-2-22-2000022-2-20000000000000000
χ142222-2-2-2-22222-2-2-2-2-220000-2-22200000000000000002222-2-2-2-22222-2-2-2-2-220000-2-22200000000000000002222-2-2-2-22222-2-2-2-2-220000-2-2220000000000000000
χ152222-2-2-2-2-1-1-1-111112-20000-1-11133−3−333−3−3000000002222-2-2-2-2-1-1-1-111112-20000-1-11133−3−333−3−3000000002222-2-2-2-2-1-1-1-111112-20000-1-11133−3−333−3−300000000
χ162222-2-2-2-2-1-1-1-111112-20000-1-111−3−333−3−333000000002222-2-2-2-2-1-1-1-111112-20000-1-111−3−333−3−333000000002222-2-2-2-2-1-1-1-111112-20000-1-111−3−333−3−33300000000
χ172222-2-2-2-2-1-1-1-11111-22000011-1-133−3−3−3−333000000002222-2-2-2-2-1-1-1-11111-22000011-1-133−3−3−3−333000000002222-2-2-2-2-1-1-1-11111-22000011-1-133−3−3−3−33300000000
χ182222-2-2-2-2-1-1-1-11111-22000011-1-1−3−33333−3−3000000002222-2-2-2-2-1-1-1-11111-22000011-1-1−3−33333−3−3000000002222-2-2-2-2-1-1-1-11111-22000011-1-1−3−33333−3−300000000
χ1922-2-222-2-222-2-22-22-20000000000000000000000002i−2i22-2-222-2-222-2-22-22-20000000000000000000000002i−2i22-2-222-2-222-2-22-22-20000000000000000000000002i−2i
χ2022-2-222-2-222-2-22-22-2000000000000000000000000−2i2i22-2-222-2-222-2-22-22-2000000000000000000000000−2i2i22-2-222-2-222-2-22-22-2000000000000000000000000−2i2i
χ2122-2-2-2-22222-2-2-22-22000000000000000000002-2000022-2-2-2-22222-2-2-22-22000000000000000000002-2000022-2-2-2-22222-2-2-22-22000000000000000000002-20000
χ2222-2-2-2-22222-2-2-22-2200000000000000000000-22000022-2-2-2-22222-2-2-22-2200000000000000000000-22000022-2-2-2-22222-2-2-22-2200000000000000000000-220000
χ232-22-22-22-22-22-2-222-200000000000000000000002i−2i002-22-22-22-22-22-2-222-200000000000000000000002i−2i002-22-22-22-22-22-2-222-200000000000000000000002i−2i00
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χ282-2-222-2-222-2-22-2-22200-22000000-22-220000000000002-2-222-2-222-2-22-2-22200-22000000-22-220000000000002-2-222-2-222-2-22-2-22200-22000000-22-22000000000000
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χ312-2-222-2-22-111-111-1-100-2200−i3i3−i3i31-11-1i3−i3i3−i3000000002-2-222-2-22-111-111-1-100-2200−i3i3−i3i31-11-1i3−i3i3−i3000000002-2-222-2-22-111-111-1-100-2200−i3i3−i3i31-11-1i3−i3i3−i300000000
χ322-2-222-2-22-111-111-1-100-2200i3−i3i3−i31-11-1−i3i3−i3i3000000002-2-222-2-22-111-111-1-100-2200i3−i3i3−i31-11-1−i3i3−i3i3000000002-2-222-2-22-111-111-1-100-2200i3−i3i3−i31-11-1−i3i3−i3i300000000
χ332-2-22-222-22-2-2222-2-200002i−2i000000002i−2i−2i2i000000002-2-22-222-22-2-2222-2-200002i−2i000000002i−2i−2i2i000000002-2-22-222-22-2-2222-2-200002i−2i000000002i−2i−2i2i00000000
χ342-2-22-222-22-2-2222-2-20000−2i2i00000000−2i2i2i−2i000000002-2-22-222-22-2-2222-2-20000−2i2i00000000−2i2i2i−2i000000002-2-22-222-22-2-2222-2-20000−2i2i00000000−2i2i2i−2i00000000
χ352-2-22-222-2-111-1-1-11100002i−2i−i3i3i3−i33−3−33−iii−i000000002-2-22-222-2-111-1-1-11100002i−2i−i3i3i3−i33−3−33−iii−i000000002-2-22-222-2-111-1-1-11100002i−2i−i3i3i3−i33−3−33−iii−i00000000
χ362-2-22-222-2-111-1-1-11100002i−2ii3−i3−i3i3−333−3−iii−i000000002-2-22-222-2-111-1-1-11100002i−2ii3−i3−i3i3−333−3−iii−i000000002-2-22-222-2-111-1-1-11100002i−2ii3−i3−i3i3−333−3−iii−i00000000
χ372-2-22-222-2-111-1-1-1110000−2i2i−i3i3i3−i3−333−3i−i−ii000000002-2-22-222-2-111-1-1-1110000−2i2i−i3i3i3−i3−333−3i−i−ii000000002-2-22-222-2-111-1-1-1110000−2i2i−i3i3i3−i3−333−3i−i−ii00000000
χ382-2-22-222-2-111-1-1-1110000−2i2ii3−i3−i3i33−3−33i−i−ii000000002-2-22-222-2-111-1-1-1110000−2i2ii3−i3−i3i33−3−33i−i−ii000000002-2-22-222-2-111-1-1-1110000−2i2ii3−i3−i3i33−3−33i−i−ii00000000
χ3944-4-444-4-4-2-222-22-220000000000000000000000000044-4-444-4-4-2-222-22-220000000000000000000000000044-4-444-4-4-2-222-22-2200000000000000000000000000
χ4044-4-4-4-444-2-2222-22-20000000000000000000000000044-4-4-4-444-2-2222-22-20000000000000000000000000044-4-4-4-444-2-2222-22-200000000000000000000000000
χ414-44-44-44-4-22-222-2-22000000000000000000000000004-44-44-44-4-22-222-2-22000000000000000000000000004-44-44-44-4-22-222-2-2200000000000000000000000000
χ424-44-4-44-44-22-22-222-2000000000000000000000000004-44-4-44-44-22-22-222-2000000000000000000000000004-44-4-44-44-22-22-222-200000000000000000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111
χ5122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-211111111-2-2-2-2-2-211111111111100000000
χ5222222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000-2-2-2-2-2-2-2-211111111-2-222221111-1-1-1-1-1-1-1-100000000
χ5322222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000-2-2-2-2-2-2-2-21111111122-2-222-1-1-1-11111-1-1-1-100000000
χ5422222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000-2-2-2-2-2-2-2-2111111112222-2-2-1-1-1-1-1-1-1-1111100000000
χ552222-2-2-2-22222-2-2-2-22-2000022-2-200000000000000002222-2-2-2-22222-2-2-2-22-2000022-2-20000000000000000-2-2-2-22222-2-2-2-22222-220000-2-2220000000000000000
χ562222-2-2-2-22222-2-2-2-2-220000-2-22200000000000000002222-2-2-2-22222-2-2-2-2-220000-2-2220000000000000000-2-2-2-22222-2-2-2-222222-2000022-2-20000000000000000
χ572222-2-2-2-2-1-1-1-111112-20000-1-11133−3−333−3−3000000002222-2-2-2-2-1-1-1-111112-20000-1-11133−3−333−3−300000000-2-2-2-222221111-1-1-1-1-22000011-1-1−3−333−3−33300000000
χ582222-2-2-2-2-1-1-1-111112-20000-1-111−3−333−3−333000000002222-2-2-2-2-1-1-1-111112-20000-1-111−3−333−3−33300000000-2-2-2-222221111-1-1-1-1-22000011-1-133−3−333−3−300000000
χ592222-2-2-2-2-1-1-1-11111-22000011-1-133−3−3−3−333000000002222-2-2-2-2-1-1-1-11111-22000011-1-133−3−3−3−33300000000-2-2-2-222221111-1-1-1-12-20000-1-111−3−33333−3−300000000
χ602222-2-2-2-2-1-1-1-11111-22000011-1-1−3−33333−3−3000000002222-2-2-2-2-1-1-1-11111-22000011-1-1−3−33333−3−300000000-2-2-2-222221111-1-1-1-12-20000-1-11133−3−3−3−33300000000
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χ732-2-222-2-22-111-111-1-100-2200−i3i3−i3i31-11-1i3−i3i3−i3000000002-2-222-2-22-111-111-1-100-2200−i3i3−i3i31-11-1i3−i3i3−i300000000-222-2-222-21-1-11-1-111002-200i3−i3i3−i3-11-11−i3i3−i3i300000000
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χ802-2-22-222-2-111-1-1-1110000−2i2ii3−i3−i3i33−3−33i−i−ii000000002-2-22-222-2-111-1-1-1110000−2i2ii3−i3−i3i33−3−33i−i−ii00000000-222-22-2-221-1-1111-1-100002i−2i−i3i3i3−i3−333−3−iii−i00000000
χ8144-4-444-4-4-2-222-22-220000000000000000000000000044-4-444-4-4-2-222-22-2200000000000000000000000000-4-444-4-44422-2-22-22-200000000000000000000000000
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χ85222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ87222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111000000000000000000000000000000000000000000
χ88222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1000000000000000000000000000000000000000000
χ892222222222222222-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000000000
χ902222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1000000000000000000000000000000000000000000
χ912222222222222222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1000000000000000000000000000000000000000000
χ922222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111000000000000000000000000000000000000000000
χ9344444444-2-2-2-2-2-2-2-2444444-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-211111111-2-2-2-2-2-211111111111100000000000000000000000000000000000000000000000000
χ9444444444-2-2-2-2-2-2-2-244-4-4-4-4-2-2-2-22222222200000000-2-2-2-2-2-2-2-211111111-2-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000
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χ9644444444-2-2-2-2-2-2-2-2-4-4-4-44422222222-2-2-2-200000000-2-2-2-2-2-2-2-2111111112222-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000000000000
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χ994444-4-4-4-4-2-2-2-222224-40000-2-2222323−23−232323−23−2300000000-2-2-2-222221111-1-1-1-1-22000011-1-1−3−333−3−33300000000000000000000000000000000000000000000000000
χ1004444-4-4-4-4-2-2-2-222224-40000-2-222−23−232323−23−23232300000000-2-2-2-222221111-1-1-1-1-22000011-1-133−3−333−3−300000000000000000000000000000000000000000000000000
χ1014444-4-4-4-4-2-2-2-22222-44000022-2-22323−23−23−23−23232300000000-2-2-2-222221111-1-1-1-12-20000-1-111−3−33333−3−300000000000000000000000000000000000000000000000000
χ1024444-4-4-4-4-2-2-2-22222-44000022-2-2−23−2323232323−23−2300000000-2-2-2-222221111-1-1-1-12-20000-1-11133−3−3−3−33300000000000000000000000000000000000000000000000000
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χ1154-4-444-4-44-222-222-2-200-4400−2i32i3−2i32i32-22-22i3−2i32i3−2i300000000-222-2-222-21-1-11-1-111002-200i3−i3i3−i3-11-11−i3i3−i3i300000000000000000000000000000000000000000000000000
χ1164-4-444-4-44-222-222-2-200-44002i3−2i32i3−2i32-22-2−2i32i3−2i32i300000000-222-2-222-21-1-11-1-111002-200−i3i3−i3i3-11-11i3−i3i3−i300000000000000000000000000000000000000000000000000
χ1174-4-44-444-44-4-4444-4-400004i−4i000000004i−4i−4i4i00000000-222-22-2-22-222-2-2-2220000−2i2i00000000−2i2i2i−2i00000000000000000000000000000000000000000000000000
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χ1194-4-44-444-4-222-2-2-22200004i−4i−2i32i32i3−2i323−23−2323−2i2i2i−2i00000000-222-22-2-221-1-1111-1-10000−2i2ii3−i3−i3i3−333−3i−i−ii00000000000000000000000000000000000000000000000000
χ1204-4-44-444-4-222-2-2-22200004i−4i2i3−2i3−2i32i3−232323−23−2i2i2i−2i00000000-222-22-2-221-1-1111-1-10000−2i2i−i3i3i3−i33−3−33i−i−ii00000000000000000000000000000000000000000000000000
χ1214-4-44-444-4-222-2-2-2220000−4i4i−2i32i32i3−2i3−232323−232i−2i−2i2i00000000-222-22-2-221-1-1111-1-100002i−2ii3−i3−i3i33−3−33−iii−i00000000000000000000000000000000000000000000000000
χ1224-4-44-444-4-222-2-2-2220000−4i4i2i3−2i3−2i32i323−23−23232i−2i−2i2i00000000-222-22-2-221-1-1111-1-100002i−2i−i3i3i3−i3−333−3−iii−i00000000000000000000000000000000000000000000000000
χ12388-8-888-8-8-4-444-44-4400000000000000000000000000-4-444-4-44422-2-22-22-200000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-8-888-4-4444-44-400000000000000000000000000-4-44444-4-422-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88-88-8-44-444-4-4400000000000000000000000000-44-44-44-442-22-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-88-88-44-44-444-400000000000000000000000000-44-444-44-42-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000

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