Finite Group Databasebeta

← Group #11808678

Character table — Group #11808678

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order122222223366666666666666444444442234444666666666661212121212121212121212121212121266666612121212121212121212121244444444444444121212121212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ511111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ17222222222-12222-1-1-1-1-1-1222-12222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-100222222000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-12222-1-1-1-1-1-1222-12222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110022-2-2-2-200000011111111-1-1-1-10000000000000000
χ19222222222-12222-1-1-1-1-1-1222-122222222-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2111122-2-2-1-1-1-1111100-2-222-2-2000000-1-1-1-1111111110000000000000000
χ20222222222-12222-1-1-1-1-1-1222-122222222-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2221111-1-1-1-100-2-2-2-2220000001111-1-1-1-111110000000000000000
χ21222222222-12222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-100-2-2-2-2-2-20000001111111111110000000000000000
χ22222222222-12222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-1-1-1-1-2-2-2-21111111100-2-22222000000-1-1-1-1-1-1-1-111110000000000000000
χ23222222222-12222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-2-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2111122-2-2-1-1-1-111110022-2-2220000001111-1-1-1-1-1-1-1-10000000000000000
χ24222222222-12222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-2-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-111111111-2-21111-2-2221111-1-1-1-1002222-2-2000000-1-1-1-11111-1-1-1-10000000000000000
χ2522222222-12-1-1-1-1222222-1-1-120000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000222222000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-1-1-1222222-1-1-120000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2-2-2-2-20000000000001111111100000000
χ2722222222-12-1-1-1-1222222-1-1-120000000022-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111111112200000022-2-2-2-2000000000000-1-111-1-11100000000
χ2822222222-12-1-1-1-1222222-1-1-120000000022-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1111111111111-2-2000000-2-2222200000000000011-1-111-1-100000000
χ2922222222-12-1-1-1-1222222-1-1-1200000000-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-200000000111111-1-111-1-1-1-1111122000000-2-2-2-222000000000000-1-1-1-1111100000000
χ3022222222-12-1-1-1-1222222-1-1-1200000000-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-200000000111111-1-111-1-1-1-11111-2-20000002222-2-20000000000001111-1-1-1-100000000
χ3122222222-12-1-1-1-1222222-1-1-1200000000-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222220000000011111111-1-11111-1-1-1-122000000-2-222-2-2000000000000-1-11111-1-100000000
χ3222222222-12-1-1-1-1222222-1-1-1200000000-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222220000000011111111-1-11111-1-1-1-1-2-200000022-2-22200000000000011-1-1-1-11100000000
χ33222-22-2-2-222222-222-2-2-2-2-2-2-222222-2-2-2-22-22000022-2-2222-2-2-2-2000000002222-2-2-2-22-222-2-2000000000000002-200000000000000000022-2-20000000000000000
χ34222-22-2-2-222222-222-2-2-2-2-2-2-222222-2-2-2-2-2220000-2-222222-2-2-2-2000000002222-2-2-2-2-22-2-22200000000000000-22000000000000000000-2-2220000000000000000
χ35222-22-2-2-222222-222-2-2-2-2-2-2-22-2-2-2-222222-22000022-2-2222-2-2-2-200000000-2-2-2-222222-222-2-200000000000000-22000000000000000000-2-2220000000000000000
χ36222-22-2-2-222222-222-2-2-2-2-2-2-22-2-2-2-22222-2220000-2-222222-2-2-2-200000000-2-2-2-22222-22-2-222000000000000002-200000000000000000022-2-20000000000000000
χ37222-22-2-2-22-1222-2-1-11111-2-2-2-12222-2-2-2-22-2-10000-1-111-1-1-1111133−3−333−3−3-1-1-1-111112-2-1-111000033−3−333−3−3002-2000000000033−3−333−3−3-1-1110000000000000000
χ38222-22-2-2-22-1222-2-1-11111-2-2-2-12222-2-2-2-22-2-10000-1-111-1-1-11111−3−333−3−333-1-1-1-111112-2-1-1110000−3−333−3−333002-20000000000−3−333−3−333-1-1110000000000000000
χ39222-22-2-2-22-1222-2-1-11111-2-2-2-12222-2-2-2-2-22-1000011-1-1-1-1-1111133−3−3−3−333-1-1-1-11111-2211-1-1000033−3−3−3−33300-22000000000033−3−3−3−33311-1-10000000000000000
χ40222-22-2-2-22-1222-2-1-11111-2-2-2-12222-2-2-2-2-22-1000011-1-1-1-1-11111−3−33333−3−3-1-1-1-11111-2211-1-10000−3−33333−3−300-220000000000−3−33333−3−311-1-10000000000000000
χ41222-22-2-2-22-1222-2-1-11111-2-2-2-1-2-2-2-222222-2-10000-1-111-1-1-1111133−3−333−3−31111-1-1-1-12-2-1-111000033−3−333−3−300-220000000000−3−333−3−33311-1-10000000000000000
χ42222-22-2-2-22-1222-2-1-11111-2-2-2-1-2-2-2-222222-2-10000-1-111-1-1-11111−3−333−3−3331111-1-1-1-12-2-1-1110000−3−333−3−33300-22000000000033−3−333−3−311-1-10000000000000000
χ43222-22-2-2-22-1222-2-1-11111-2-2-2-1-2-2-2-22222-22-1000011-1-1-1-1-1111133−3−3−3−3331111-1-1-1-1-2211-1-1000033−3−3−3−333002-20000000000−3−33333−3−3-1-1110000000000000000
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χ4522-22-2-22-2222-2-2-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i002000000002-2-22-22-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000002-2000000000000000000002-20000002i−2i00
χ4622-22-2-22-2222-2-2-22-22-22-22-22-22i2i−2i−2i2i2i−2i−2i002000000002-2-22-22-2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000-2200000000000000000000-22000000−2i2i00
χ4722-22-2-22-2222-2-2-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i002000000002-2-22-22-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000002-2000000000000000000002-2000000−2i2i00
χ4822-22-2-22-2222-2-2-22-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i002000000002-2-22-22-200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000-2200000000000000000000-220000002i−2i00
χ4922-2-2-22-22222-2-222-2-22-22-22-2-22i2i−2i−2i−2i−2i2i2i002000000002-2-2-22-22000000002i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i0000000000000000000000002i−2i0000002-2000000
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χ782-2-2222-2-222-2-222-2-22-2-222-2-222-2-222-2-2200200000000-2-22-222-2000000002-2-222-2-220000000000000000000000000000−2i2i00000000000000000000−2i2i000000−2i2i
χ792-2-2222-2-222-2-222-2-22-2-222-2-22-222-2-222-200200000000-2-22-222-200000000-222-2-222-200000000000000000000000000002i−2i000000000000000000002i−2i000000−2i2i
χ802-2-2222-2-222-2-222-2-22-2-222-2-22-222-2-222-200200000000-2-22-222-200000000-222-2-222-20000000000000000000000000000−2i2i00000000000000000000−2i2i0000002i−2i
χ812-2-2-22-22222-2-22-2-2-2-222-2-22222-2-22-222-200200000000-2-222-2-22000000002-2-22-222-20000000000000000000000000000002-2000000000000002-20000002-20000
χ822-2-2-22-22222-2-22-2-2-2-222-2-22222-2-22-222-200200000000-2-222-2-22000000002-2-22-222-2000000000000000000000000000000-2200000000000000-22000000-220000
χ832-2-2-22-22222-2-22-2-2-2-222-2-2222-222-22-2-2200200000000-2-222-2-2200000000-222-22-2-220000000000000000000000000000002-2000000000000002-2000000-220000
χ842-2-2-22-22222-2-22-2-2-2-222-2-2222-222-22-2-2200200000000-2-222-2-2200000000-222-22-2-22000000000000000000000000000000-2200000000000000-220000002-20000
χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000004414444-2-2-2-21111111-2-2-2-2-2-2-2-200000000-2-21111-2-2-2-211111111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000441-4-4-4-4-2-2-2-211111112222222200000000-2-211112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ8844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-41-4-444222211111112222-2-2-2-20000000022-1-1-1-122-2-2-1-1-1-11111000000000000000000000000000000000000000000
χ89444-44-4-4-4-24-2-2-2244-4-4-4-42224000000004-4-2000044-4-4-2-2-222220000000000000000-22-2-222000000000000000000000000000000000000000000000000000000
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χ93444-44-4-4-4-2-2-2-2-22-2-22222222-200000000-441000022-2-2111-1-1-1-12323−23−23−23−232323000000002-2-1-1110000−3−33333−3−3000000000000000000000000000000000000000000
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χ9644-44-4-44-44-24-4-4-4-22-22-224-442−4i−4i4i4i−4i−4i4i4i00-200000000-222-22-22000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ9744-44-4-44-4-24-22224-44-44-4-22-2-40000000000-200000000-222-22-220000000000000000000000000000000000000000004-400000000000000000000-220000000000
χ9844-44-4-44-4-24-22224-44-44-4-22-2-40000000000-200000000-222-22-22000000000000000000000000000000000000000000-44000000000000000000002-20000000000
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χ10044-4-4-44-444-24-4-44-222-22-2-44-42−4i−4i4i4i4i4i−4i−4i00-200000000-2222-22-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ10144-4-4-44-44-24-222-24-4-44-442-22-40000000000-200000000-2222-22-200000000000000000000000000000000004i−4i000000000000000000000000−2i2i00000000000000
χ10244-4-4-44-44-24-222-24-4-44-442-22-40000000000-200000000-2222-22-20000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00000000000000
χ1034-444-4-4-44-242-222-4444-4-4-2-22-40000000000-24-40000002-2222-2-24-44-4000000000000000000-2200-22-220000000000000000000000000000000000000000000000
χ1044-444-4-4-44-242-222-4444-4-4-2-22-40000000000-2-440000002-2222-2-2-44-440000000000000000002-2002-22-20000000000000000000000000000000000000000000000
χ1054-444-4-4-44-2-22-2222-2-2-222-2-222000000000014-400−2i32i3−2i32i3-11-1-1-111-22-22−2i32i3−2i32i30000000000i3−i3i3−i3-22001-11-1i3−i3i3−i3000000000000000000000000000000000000000000
χ1064-444-4-4-44-2-22-2222-2-2-222-2-222000000000014-4002i3−2i32i3−2i3-11-1-1-111-22-222i3−2i32i3−2i30000000000−i3i3−i3i3-22001-11-1−i3i3−i3i3000000000000000000000000000000000000000000
χ1074-444-4-4-44-2-22-2222-2-2-222-2-22200000000001-4400−2i32i3−2i32i3-11-1-1-1112-22-22i3−2i32i3−2i30000000000i3−i3i3−i32-200-11-11−i3i3−i3i3000000000000000000000000000000000000000000
χ1084-444-4-4-44-2-22-2222-2-2-222-2-22200000000001-44002i3−2i32i3−2i3-11-1-1-1112-22-2−2i32i3−2i32i30000000000−i3i3−i3i32-200-11-11i3−i3i3−i3000000000000000000000000000000000000000000
χ1094-44-4-444-4-242-22-2-44-4-44422-2-40000000000-2004i−4i00002-22-2-22200004i−4i−4i4i0000000000000000−2i2i0000−2i2i2i−2i000000000000000000000000000000000000000000
χ1104-44-4-444-4-242-22-2-44-4-44422-2-40000000000-200−4i4i00002-22-2-2220000−4i4i4i−4i00000000000000002i−2i00002i−2i−2i2i000000000000000000000000000000000000000000
χ1114-44-4-444-4-2-22-22-22-222-2-222-2200000000001004i−4i−2i32i32i3−2i3-11-111-1-123−23−2323−2i2i2i−2i0000000000i3−i3−i3i300−2i2i−333−3i−i−ii000000000000000000000000000000000000000000
χ1124-44-4-444-4-2-22-22-22-222-2-222-2200000000001004i−4i2i3−2i3−2i32i3-11-111-1-1−232323−23−2i2i2i−2i0000000000−i3i3i3−i300−2i2i3−3−33i−i−ii000000000000000000000000000000000000000000
χ1134-44-4-444-4-2-22-22-22-222-2-222-220000000000100−4i4i−2i32i32i3−2i3-11-111-1-1−232323−232i−2i−2i2i0000000000i3−i3−i3i3002i−2i3−3−33−iii−i000000000000000000000000000000000000000000
χ1144-44-4-444-4-2-22-22-22-222-2-222-220000000000100−4i4i2i3−2i3−2i32i3-11-111-1-123−23−23232i−2i−2i2i0000000000−i3i3i3−i3002i−2i−333−3−iii−i000000000000000000000000000000000000000000
χ1154-4-4444-4-44-2-4-44422-222-24-4-4-24-4-444-4-4400-20000000022-22-2-2200000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ1164-4-4444-4-44-2-4-44422-222-24-4-4-2-444-4-444-400-20000000022-22-2-22000000002-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ1174-4-4444-4-4-2422-2-2-4-44-4-44-22240000000000-20000000022-22-2-22000000000000000000000000000000000000000000004i−4i00000000000000000000−2i2i00000000
χ1184-4-4444-4-4-2422-2-2-4-44-4-44-22240000000000-20000000022-22-2-2200000000000000000000000000000000000000000000−4i4i000000000000000000002i−2i00000000
χ1194-4-4-44-4444-2-4-44-4222-2-22-444-24-4-44-444-400-20000000022-2-222-200000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ1204-4-4-44-4444-2-4-44-4222-2-22-444-2-444-44-4-4400-20000000022-2-222-2000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000
χ1214-4-4-44-444-2422-22-4-4-444-42-2-240000000000-20000000022-2-222-200000000000000000000000000000000000000000000004-400000000000000-22000000000000
χ1224-4-4-44-444-2422-22-4-4-444-42-2-240000000000-20000000022-2-222-20000000000000000000000000000000000000000000000-44000000000000002-2000000000000
χ12388-88-8-88-8-4-4-4444-44-44-44-44-4400000000002000000002-2-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-88-88-4-4-444-4-444-44-44-44400000000002000000002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-8888-8-8-4-444-4-444-444-4-444-40000000000200000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-88-888-4-444-44444-4-444-4-4-40000000000200000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000

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