Finite Group Databasebeta

← Group #11808673

Character table — Group #11808673

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order122222223366666666666666444444442234444666666666661212121212121212121212121212121266666612121212121212121212121244444444444444121212121212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ511111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ611111111111111111111111111111111-1-1111-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ711111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-11111-1-111-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ17222222222-1222-1-12-1-122-1-1-122222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122220000002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-12-1-122-1-1-122222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-21111111122-2-2000000-2-20011111111-1-1-1-10000000000000000
χ19222222222-1222-1-12-1-122-1-1-1222222222-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2111122-2-2-1-1-1-11111-2-222000000-2-200-1-1-1-1111111110000000000000000
χ20222222222-1222-1-12-1-122-1-1-1222222222-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2221111-1-1-1-1-2-2-2-200000022001111-1-1-1-111110000000000000000
χ21222222222-1222-1-12-1-122-1-1-12-2-2-2-2-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000000-2-2001111111111110000000000000000
χ22222222222-1222-1-12-1-122-1-1-12-2-2-2-2-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-1-1-1-1-2-2-2-211111111-2-2220000002200-1-1-1-1-1-1-1-111110000000000000000
χ23222222222-1222-1-12-1-122-1-1-12-2-2-2-2-2-2-2-2-2-2-122-2-21111-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2111122-2-2-1-1-1-1111122-2-200000022001111-1-1-1-1-1-1-1-10000000000000000
χ24222222222-1222-1-12-1-122-1-1-12-2-2-2-2-2-2-2-2-2-2-1-2-2221111-1-1-1-1-1-1-11111-1-1-1-111111111-2-21111-2-2221111-1-1-1-12222000000-2-200-1-1-1-11111-1-1-1-10000000000000000
χ2522222222-12-1-1-122-122-1-1222-10000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222220022000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-1-122-122-1-1222-10000000022-122222222-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-200-2-20000000000001111111100000000
χ2722222222-12-1-1-122-122-1-1222-10000000022-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-111111111111100002222-2-200-2-2000000000000-1-111-1-11100000000
χ2822222222-12-1-1-122-122-1-1222-10000000022-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-1-11111111111110000-2-2-2-222002200000000000011-1-111-1-100000000
χ2922222222-12-1-1-122-122-1-1222-100000000-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-200000000111111-1-111-1-1-1-11111000022-2-22200-2-2000000000000-1-11111-1-100000000
χ3022222222-12-1-1-122-122-1-1222-100000000-2-2-122-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-200000000111111-1-111-1-1-1-111110000-2-222-2-2002200000000000011-1-1-1-11100000000
χ3122222222-12-1-1-122-122-1-1222-100000000-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222220000000011111111-1-11111-1-1-1-1000022-2-2-2-20022000000000000-1-1-1-1111100000000
χ3222222222-12-1-1-122-122-1-1222-100000000-2-2-1-2-222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222220000000011111111-1-11111-1-1-1-10000-2-2222200-2-20000000000001111-1-1-1-100000000
χ332222-2-2-2-22222222-2-2-2-2-2-2-22-22222-2-2-2-22-22000022-2-2222-2-2-2-2000000002222-2-2-2-22-222-2-20000000000002-20000000000000000000022-2-20000000000000000
χ342222-2-2-2-22222222-2-2-2-2-2-2-22-22222-2-2-2-2-2220000-2-222222-2-2-2-2000000002222-2-2-2-2-22-2-222000000000000-2200000000000000000000-2-2220000000000000000
χ352222-2-2-2-22222222-2-2-2-2-2-2-22-2-2-2-2-222222-22000022-2-2222-2-2-2-200000000-2-2-2-222222-222-2-2000000000000-2200000000000000000000-2-2220000000000000000
χ362222-2-2-2-22222222-2-2-2-2-2-2-22-2-2-2-2-22222-2220000-2-222222-2-2-2-200000000-2-2-2-22222-22-2-2220000000000002-20000000000000000000022-2-20000000000000000
χ372222-2-2-2-22-1222-1-1-211-2-211-1-22222-2-2-2-22-2-10000-1-111-1-1-1111133−3−333−3−3-1-1-1-111112-2-1-111000033−3−333−3−32-200000000000033−3−333−3−3-1-1110000000000000000
χ382222-2-2-2-22-1222-1-1-211-2-211-1-22222-2-2-2-22-2-10000-1-111-1-1-11111−3−333−3−333-1-1-1-111112-2-1-1110000−3−333−3−3332-2000000000000−3−333−3−333-1-1110000000000000000
χ392222-2-2-2-22-1222-1-1-211-2-211-1-22222-2-2-2-2-22-1000011-1-1-1-1-1111133−3−3−3−333-1-1-1-11111-2211-1-1000033−3−3−3−333-2200000000000033−3−3−3−33311-1-10000000000000000
χ402222-2-2-2-22-1222-1-1-211-2-211-1-22222-2-2-2-2-22-1000011-1-1-1-1-11111−3−33333−3−3-1-1-1-11111-2211-1-10000−3−33333−3−3-22000000000000−3−33333−3−311-1-10000000000000000
χ412222-2-2-2-22-1222-1-1-211-2-211-1-2-2-2-2-222222-2-10000-1-111-1-1-1111133−3−333−3−31111-1-1-1-12-2-1-111000033−3−333−3−3-22000000000000−3−333−3−33311-1-10000000000000000
χ422222-2-2-2-22-1222-1-1-211-2-211-1-2-2-2-2-222222-2-10000-1-111-1-1-11111−3−333−3−3331111-1-1-1-12-2-1-1110000−3−333−3−333-2200000000000033−3−333−3−311-1-10000000000000000
χ432222-2-2-2-22-1222-1-1-211-2-211-1-2-2-2-2-22222-22-1000011-1-1-1-1-1111133−3−3−3−3331111-1-1-1-1-2211-1-1000033−3−3−3−3332-2000000000000−3−33333−3−3-1-1110000000000000000
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χ4522-2-22-22-2222-2-22-2-22-22-22-2-222i2i−2i−2i2i2i−2i−2i002000000002-2-22-22-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-200000000000000000000002-20000002i−2i00
χ4622-2-22-22-2222-2-22-2-22-22-22-2-222i2i−2i−2i2i2i−2i−2i002000000002-2-22-22-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000-220000000000000000000000-22000000−2i2i00
χ4722-2-22-22-2222-2-22-2-22-22-22-2-22−2i−2i2i2i−2i−2i2i2i002000000002-2-22-22-200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-200000000000000000000002-2000000−2i2i00
χ4822-2-22-22-2222-2-22-2-22-22-22-2-22−2i−2i2i2i−2i−2i2i2i002000000002-2-22-22-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000-220000000000000000000000-220000002i−2i00
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χ722-22-2-222-22-1-22-21-12-1-1-2-211122i−2i2i−2i−2i2i−2i2i00-100-22i3−i3−i3i31-1111-1-1−i3i3i3−i31-1-11−ii−iii−ii−i00i3−i3−i3i300-22−i3i3i3−i31-1-110000000000−2i2i00−333−3−iii−i−333−30000000000000000
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χ762-22-2-222-22-1-22-21-12-1-1-2-21112−2i2i−2i2i2i−2i2i−2i00-100-22i3−i3−i3i31-1111-1-1−i3i3i3−i31-1-11i−ii−i−ii−ii00i3−i3−i3i300-22−i3i3i3−i31-1-1100000000002i−2i003−3−33i−i−ii3−3−330000000000000000
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χ802-2-2222-2-222-2-22-2-22-222-22-22-2-222-2-222-200200000000-2-222-2-2200000000-222-2-222-2000000000000000000000000000000−2i2i00000000000000−2i2i0000002i−2i0000
χ812-2-22-2-22222-2-22-2-2-22-2-22-22222-2-22-222-200200000000-2-22-222-2000000002-2-22-222-2000000000000000000000000002-200000000000000000000002-20000002-2
χ822-2-22-2-22222-2-22-2-2-22-2-22-22222-2-22-222-200200000000-2-22-222-2000000002-2-22-222-200000000000000000000000000-220000000000000000000000-22000000-22
χ832-2-22-2-22222-2-22-2-2-22-2-22-2222-222-22-2-2200200000000-2-22-222-200000000-222-22-2-22000000000000000000000000002-200000000000000000000002-2000000-22
χ842-2-22-2-22222-2-22-2-2-22-2-22-2222-222-22-2-2200200000000-2-22-222-200000000-222-22-2-2200000000000000000000000000-220000000000000000000000-220000002-2
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
χ8744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-4-4144-4-422221111111-2-2-2-222220000000022-1-1-1-1-2-2221111-1-1-1-1000000000000000000000000000000000000000000
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
χ894444-4-4-4-4-24-2-2-2442-4-422-4-442000000004-4-2000044-4-4-2-2-222220000000000000000-22-2-222000000000000000000000000000000000000000000000000000000
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χ934444-4-4-4-4-2-2-2-2-2-2-22222222-2200000000-441000022-2-2111-1-1-1-12323−23−23−23−232323000000002-2-1-1110000−3−33333−3−3000000000000000000000000000000000000000000
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χ9644-4-44-44-44-24-4-4-22-4-224-4-2224−4i−4i4i4i−4i−4i4i4i00-200000000-222-22-22000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ9744-4-44-44-4-24-2224-424-4-224-4-4-20000000000-200000000-222-22-2200000000000000000000000000000000000000004-40000000000000000000000-220000000000
χ9844-4-44-44-4-24-2224-424-4-224-4-4-20000000000-200000000-222-22-220000000000000000000000000000000000000000-4400000000000000000000002-20000000000
χ9944-4-4-44-444-24-4-4-2242-2-442-22-44i4i−4i−4i−4i−4i4i4i00-200000000-2222-22-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ10044-4-4-44-444-24-4-4-2242-2-442-22-4−4i−4i4i4i4i4i−4i−4i00-200000000-2222-22-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ10144-4-4-44-44-24-2224-4-2-442-2-44-420000000000-200000000-2222-22-2000000000000000000000000000000000000004i−4i00000000000000000000−2i2i00000000000000
χ10244-4-4-44-44-24-2224-4-2-442-2-44-420000000000-200000000-2222-22-200000000000000000000000000000000000000−4i4i000000000000000000002i−2i00000000000000
χ1034-44-44-4-44-242-22-442-4-4-2-244-420000000000-24i−4i0000002-22-2-2224i−4i4i−4i000000000000000000−2i2i00−2i2i−2i2i0000000000000000000000000000000000000000000000
χ1044-44-44-4-44-242-22-442-4-4-2-244-420000000000-2−4i4i0000002-22-2-222−4i4i−4i4i0000000000000000002i−2i002i−2i2i−2i0000000000000000000000000000000000000000000000
χ1054-44-44-4-44-2-22-222-2222-2-2-2-222000000000014i−4i00−2i32i3−2i32i3-11-111-1-1−2i2i−2i2i23−2323−230000000000i3−i3i3−i3−2i2i00i−ii−i−33−33000000000000000000000000000000000000000000
χ1064-44-44-4-44-2-22-222-2222-2-2-2-222000000000014i−4i002i3−2i32i3−2i3-11-111-1-1−2i2i−2i2i−2323−23230000000000−i3i3−i3i3−2i2i00i−ii−i3−33−3000000000000000000000000000000000000000000
χ1074-44-44-4-44-2-22-222-2222-2-2-2-22200000000001−4i4i00−2i32i3−2i32i3-11-111-1-12i−2i2i−2i−2323−23230000000000i3−i3i3−i32i−2i00−ii−ii3−33−3000000000000000000000000000000000000000000
χ1084-44-44-4-44-2-22-222-2222-2-2-2-22200000000001−4i4i002i3−2i32i3−2i3-11-111-1-12i−2i2i−2i23−2323−230000000000−i3i3−i3i32i−2i00−ii−ii−33−33000000000000000000000000000000000000000000
χ1094-44-4-444-4-242-22-44-24422-4-4-4-20000000000-2004-400002-2222-2-200004-4-440000000000000000-220000-222-2000000000000000000000000000000000000000000
χ1104-44-4-444-4-242-22-44-24422-4-4-4-20000000000-200-4400002-2222-2-20000-444-400000000000000002-200002-2-22000000000000000000000000000000000000000000
χ1114-44-4-444-4-2-22-222-2-2-2-222222-200000000001004-4−2i32i32i3−2i3-11-1-1-111−2i32i32i3−2i3-222-20000000000i3−i3−i3i300-22i3−i3−i3i31-1-11000000000000000000000000000000000000000000
χ1124-44-4-444-4-2-22-222-2-2-2-222222-200000000001004-42i3−2i3−2i32i3-11-1-1-1112i3−2i3−2i32i3-222-20000000000−i3i3i3−i300-22−i3i3i3−i31-1-11000000000000000000000000000000000000000000
χ1134-44-4-444-4-2-22-222-2-2-2-222222-20000000000100-44−2i32i32i3−2i3-11-1-1-1112i3−2i3−2i32i32-2-220000000000i3−i3−i3i3002-2−i3i3i3−i3-111-1000000000000000000000000000000000000000000
χ1144-44-4-444-4-2-22-222-2-2-2-222222-20000000000100-442i3−2i3−2i32i3-11-1-1-111−2i32i32i3−2i32-2-220000000000−i3i3i3−i3002-2i3−i3−i3i3-111-1000000000000000000000000000000000000000000
χ1154-4-4444-4-44-2-4-442242-24-4-22-2-44-4-444-4-4400-20000000022-2-222-200000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ1164-4-4444-4-44-2-4-442242-24-4-22-2-4-444-4-444-400-20000000022-2-222-2000000002-2-222-2-22000000000000000000000000000000000000000000000000000000000000
χ1174-4-4444-4-4-2422-2-4-4-2-44-224-4420000000000-20000000022-2-222-200000000000000000000000000000000000000000000004i−4i00000000000000−2i2i000000000000
χ1184-4-4444-4-4-2422-2-4-4-2-44-224-4420000000000-20000000022-2-222-20000000000000000000000000000000000000000000000−4i4i000000000000002i−2i000000000000
χ1194-4-44-4-4444-2-4-4422-4-22-442-2-244-4-44-444-400-20000000022-22-2-2200000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ1204-4-44-4-4444-2-4-4422-4-22-442-2-24-444-44-4-4400-20000000022-22-2-22000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000
χ1214-4-44-4-444-2422-2-4-424-42-2-444-20000000000-20000000022-22-2-220000000000000000000000000000000000000000004-40000000000000000000000-2200000000
χ1224-4-44-4-444-2422-2-4-424-42-2-444-20000000000-20000000022-22-2-22000000000000000000000000000000000000000000-4400000000000000000000002-200000000
χ12388-8-88-88-8-4-4-444-444-44-44-444-400000000002000000002-2-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-88-88-4-4-444-44-44-44-44-44400000000002000000002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-8888-8-8-4-444-444-44-4-44-44-440000000000200000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-8-888-4-444-4444-444-44-4-4-40000000000200000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000

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