Finite Group Databasebeta

← Group #11808716

Character table — Group #11808716

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order122222223366666666666666444444443444444666666612121212121212121212121212121212121212121212121212121212121212121212121212122244444444444466661212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ5111111111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222-122-1-1-1-122-122-12-122222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222200000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-122-1-1-1-122-122-12-122222222-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111122-2-2-2-200000000-1-1-1-1111111110000000000000000
χ19222222222-122-1-1-1-122-122-12-122222222-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-222-2-2000000001111-1-1-1-111110000000000000000
χ20222222222-122-1-1-1-122-122-12-122222222-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-2-2-2220000000011111111-1-1-1-10000000000000000
χ21222222222-122-1-1-1-122-122-12-1-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000001111111111110000000000000000
χ22222222222-122-1-1-1-122-122-12-1-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-11111111122-2-2-2-2-1-1-1-111111111-2-22222000000001111-1-1-1-1-1-1-1-10000000000000000
χ23222222222-122-1-1-1-122-122-12-1-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-222-2-21111-1-1-1-1111122-2-22200000000-1-1-1-11111-1-1-1-10000000000000000
χ24222222222-122-1-1-1-122-122-12-1-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-2-2-22211111111-1-1-1-12222-2-200000000-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-12-1-12222-1-12-1-12-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022222222000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-12222-1-12-1-12-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2-2-20000000000001111111100000000
χ2722222222-12-1-12222-1-12-1-12-1200000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-1-11111-1-1-1-1111111110000002222-2-2-2-2000000000000-1-111-1-11100000000
χ2822222222-12-1-12222-1-12-1-12-1200000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-1-11111-1-1-1-111111111000000-2-2-2-2222200000000000011-1-111-1-100000000
χ2922222222-12-1-12222-1-12-1-12-1200000000-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000011-1-1111111-1-1-1-1111100000022-2-222-2-2000000000000-1-1-1-1111100000000
χ3022222222-12-1-12222-1-12-1-12-1200000000-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000011-1-1111111-1-1-1-11111000000-2-222-2-2220000000000001111-1-1-1-100000000
χ3122222222-12-1-12222-1-12-1-12-1200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-111111111-1-1-1-100000022-2-2-2-222000000000000-1-11111-1-100000000
χ3222222222-12-1-12222-1-12-1-12-1200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-111111111-1-1-1-1000000-2-22222-2-200000000000011-1-1-1-11100000000
χ332222-2-2-2-2222222-2-22-2-2-2-22-2-22222-2-2-2-222-2000022-2-2-22-20000000022-2-22222-2-2-2-22-2000022-2-2000000002-200000000000022-2-2000000000000000000000000
χ342222-2-2-2-2222222-2-22-2-2-2-22-2-22222-2-2-2-22-22000022-2-2-22-200000000-2-2222222-2-2-2-2-220000-2-22200000000-22000000000000-2-222000000000000000000000000
χ352222-2-2-2-2222222-2-22-2-2-2-22-2-2-2-2-2-2222222-2000022-2-2-22-20000000022-2-2-2-2-2-222222-2000022-2-200000000-22000000000000-2-222000000000000000000000000
χ362222-2-2-2-2222222-2-22-2-2-2-22-2-2-2-2-2-222222-22000022-2-2-22-200000000-2-222-2-2-2-22222-220000-2-222000000002-200000000000022-2-2000000000000000000000000
χ372222-2-2-2-22-122-1-1112-21-2-2-1-212222-2-2-2-2-12-20000-1-1111-1133−3−333−3−3-1-111-1-1-1-111112-20000-1-11133−3−333−3−32-2000000000000-1-11133−3−333−3−30000000000000000
χ382222-2-2-2-22-122-1-1112-21-2-2-1-212222-2-2-2-2-12-20000-1-1111-11−3−333−3−333-1-111-1-1-1-111112-20000-1-111−3−333−3−3332-2000000000000-1-111−3−333−3−3330000000000000000
χ392222-2-2-2-22-122-1-1112-21-2-2-1-212222-2-2-2-2-1-220000-1-1111-1133−3−3−3−33311-1-1-1-1-1-11111-22000011-1-133−3−3−3−333-2200000000000011-1-133−3−3−3−3330000000000000000
χ402222-2-2-2-22-122-1-1112-21-2-2-1-212222-2-2-2-2-1-220000-1-1111-11−3−33333−3−311-1-1-1-1-1-11111-22000011-1-1−3−33333−3−3-2200000000000011-1-1−3−33333−3−30000000000000000
χ412222-2-2-2-22-122-1-1112-21-2-2-1-21-2-2-2-22222-12-20000-1-1111-1133−3−333−3−3-1-1111111-1-1-1-12-20000-1-11133−3−333−3−3-2200000000000011-1-1−3−333−3−3330000000000000000
χ422222-2-2-2-22-122-1-1112-21-2-2-1-21-2-2-2-22222-12-20000-1-1111-11−3−333−3−333-1-1111111-1-1-1-12-20000-1-111−3−333−3−333-2200000000000011-1-133−3−333−3−30000000000000000
χ432222-2-2-2-22-122-1-1112-21-2-2-1-21-2-2-2-22222-1-220000-1-1111-1133−3−3−3−33311-1-11111-1-1-1-1-22000011-1-133−3−3−3−3332-2000000000000-1-111−3−33333−3−30000000000000000
χ442222-2-2-2-22-122-1-1112-21-2-2-1-21-2-2-2-22222-1-220000-1-1111-11−3−33333−3−311-1-11111-1-1-1-1-22000011-1-1−3−33333−3−32-2000000000000-1-11133−3−3−3−3330000000000000000
χ4522-2-222-2-2222-22-22-2-2-2-22-2-2222i2i−2i−2i2i2i−2i−2i20000002-222-2-2-20000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i00000000000000002i−2i0000002-20000
χ4622-2-222-2-2222-22-22-2-2-2-22-2-2222i2i−2i−2i2i2i−2i−2i20000002-222-2-2-20000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i0000000000000000−2i2i000000-220000
χ4722-2-222-2-2222-22-22-2-2-2-22-2-222−2i−2i2i2i−2i−2i2i2i20000002-222-2-2-2000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i00000000000000002i−2i000000-220000
χ4822-2-222-2-2222-22-22-2-2-2-22-2-222−2i−2i2i2i−2i−2i2i2i20000002-222-2-2-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i0000000000000000−2i2i0000002-20000
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χ5222-2-2-2-222222-22-2-22-222-22-2-2-2−2i−2i2i2i2i2i−2i−2i20000002-2-2-22-22000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000−2i2i000000000000000000−2i2i0000002-2
χ532-22-22-22-222-22-22-22-2-2-2-22-2222i−2i2i−2i2i−2i2i−2i2000000-222-22-2-20000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i0000000000000000002i−2i0000002-2000000
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χ652-2-222-2-222-1-2-2111122-1-2-2-12-12-2-222-2-22-1002-20011-111-1-1-11-11−i3i3−i3i3−i3i3−i3i3-111-1-111-1002-200−i3i3−i3i3-11-11−i3i3−i3i3002-20000000000−i3i3−i3i3-11-11−i3i3−i3i30000000000000000
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χ682-2-222-2-222-1-2-2111122-1-2-2-12-12-2-222-2-22-100-220011-111-1-11-11-1i3−i3i3−i3−i3i3−i3i3-111-1-111-100-2200−i3i3−i3i31-11-1i3−i3i3−i300-220000000000−i3i3−i3i31-11-1i3−i3i3−i30000000000000000
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χ702-2-222-2-222-1-2-2111122-1-2-2-12-1-222-2-222-2-1002-20011-111-1-1-11-11i3−i3i3−i3i3−i3i3−i31-1-111-1-11002-200i3−i3i3−i3-11-11i3−i3i3−i300-220000000000−i3i3−i3i31-11-1−i3i3−i3i30000000000000000
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χ752-2-22-222-222-2-2-2-2222-2-2222-2-2-222-22-2-22200002i−2i-2-2-2222-200002i−2i−2i2i0000-222-22-2-2200002i−2i000000002i−2i−2i2i0000−2i2i0000000000000000−2i2i2i−2i0000000000000000
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χ802-2-22-222-22-1-2-211-1-12-2122-1-212-2-22-222-2-10000−2i2i111-1-1-11−333−3i−i−ii−i3i3i3−i3-111-11-1-110000−2i2i−i3i3i3−i3−333−3i−i−ii0000−2i2i00000000−i3i3i3−i3−333−3i−i−ii0000000000000000
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χ822-2-22-222-22-1-2-211-1-12-2122-1-21-222-22-2-22-100002i−2i111-1-1-11−333−3−iii−ii3−i3−i3i31-1-11-111-100002i−2ii3−i3−i3i3−333−3−iii−i0000−2i2i00000000−i3i3i3−i33−3−33i−i−ii0000000000000000
χ832-2-22-222-22-1-2-211-1-12-2122-1-21-222-22-2-22-10000−2i2i111-1-1-113−3−33i−i−iii3−i3−i3i31-1-11-111-10000−2i2ii3−i3−i3i33−3−33i−i−ii00002i−2i00000000−i3i3i3−i3−333−3−iii−i0000000000000000
χ842-2-22-222-22-1-2-211-1-12-2122-1-21-222-22-2-22-10000−2i2i111-1-1-11−333−3i−i−ii−i3i3i3−i31-1-11-111-10000−2i2i−i3i3i3−i3−333−3i−i−ii00002i−2i00000000i3−i3−i3i33−3−33−iii−i0000000000000000
χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000014444441111111-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000144-4-4-4-4111111122222222-2-2-2-200000000-2-222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000001-4-444-4-41111111-2-2-2-2222222220000000022-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
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χ10144-4-4-4-444-24-224-4-442-242-2-42-400000000-2000000-2222-22-2000000000000000000000000000000000000000000000000004i−4i000000000000000000−2i2i00000000
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χ1084-44-4-44-444-2-442-2-22-44-24-42-42−4i4i−4i4i4i−4i4i−4i-20000002-22-222-20000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
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χ1124-4-444-4-44-2422-4-4-4-4-2-24224-2400000000-200-440022-222-2-2-44-440000000000000000002-20000002-22-20000000000000000000000000000000000000000000000
χ1134-4-444-4-44-2-2222222-2-2-222-2-2-2000000001004-400-1-11-1-111-22-22−2i32i3−2i32i3−2i32i3−2i32i30000000000-2200i3−i3i3−i31-11-1i3−i3i3−i3000000000000000000000000000000000000000000
χ1144-4-444-4-44-2-2222222-2-2-222-2-2-2000000001004-400-1-11-1-111-22-222i3−2i32i3−2i32i3−2i32i3−2i30000000000-2200−i3i3−i3i31-11-1−i3i3−i3i3000000000000000000000000000000000000000000
χ1154-4-444-4-44-2-2222222-2-2-222-2-2-200000000100-4400-1-11-1-1112-22-2−2i32i3−2i32i32i3−2i32i3−2i300000000002-200−i3i3−i3i3-11-11i3−i3i3−i3000000000000000000000000000000000000000000
χ1164-4-444-4-44-2-2222222-2-2-222-2-2-200000000100-4400-1-11-1-1112-22-22i3−2i32i3−2i3−2i32i3−2i32i300000000002-200i3−i3i3−i3-11-11−i3i3−i3i3000000000000000000000000000000000000000000
χ1174-4-44-444-4-2422-4-444-22-4-2-242-400000000-200004i−4i222-2-2-2200004i−4i−4i4i0000000000000000−2i2i00000000−2i2i2i−2i000000000000000000000000000000000000000000
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χ1214-4-44-444-4-2-22222-2-2-222-2-2-2220000000010000−4i4i-1-1-1111-123−23−23232i−2i−2i2i2i3−2i3−2i32i30000000000002i−2i−i3i3i3−i3−333−3−iii−i000000000000000000000000000000000000000000
χ1224-4-44-444-4-2-22222-2-2-222-2-2-2220000000010000−4i4i-1-1-1111-1−232323−232i−2i−2i2i−2i32i32i3−2i30000000000002i−2ii3−i3−i3i33−3−33−iii−i000000000000000000000000000000000000000000
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χ12488-8-8-8-888-4-4-44-444-44-4-44-44440000000020000002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88-88-8-4-44-44-44-44444-44-4-4000000002000000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-88-88-4-44-44-4-444-4-4-44444000000002000000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000

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