Finite Group Databasebeta

← Group #11808928

Character table — Group #11808928

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order122222223366666666666666444444443444444666666612121212121212121212121212121212121212121212121212121212121212121212121212122244444444444466661212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ17222222222-122-1-122-1-12-1-12-1222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122002200000022-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-122-1-122-1-12-1-12-1222222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111111111-2-200-2-2000000221111-1-1-1-111110000000000000000
χ19222222222-122-1-122-1-12-1-12-1222222222-1-2-222-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111112200-2-2000000-2-2-1-1-1-1111111110000000000000000
χ20222222222-122-1-122-1-12-1-12-1222222222-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-1-2-20022000000-2-211111111-1-1-1-10000000000000000
χ21222222222-122-1-122-1-12-1-12-12-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2000000-2-21111111111110000000000000000
χ22222222222-122-1-122-1-12-1-12-12-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-222-1-1-1-111111111220022000000-2-2-1-1-1-11111-1-1-1-10000000000000000
χ23222222222-122-1-122-1-12-1-12-12-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-111111111-1-1-1-11111111122-2-2-2-21111-1-1-1-11111-2-20022000000221111-1-1-1-1-1-1-1-10000000000000000
χ24222222222-122-1-122-1-12-1-12-12-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-222-2-211111111-1-1-1-12200-2-200000022-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-12-1-122-1-122-122-12-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022222200000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-122-1-122-122-12-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-2-2-2000000000000001111111100000000
χ2722222222-12-1-122-1-122-122-12-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-11111111100220022-2-2-2-20000000000000011-1-1-1-11100000000
χ2822222222-12-1-122-1-122-122-12-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000001111-1-1-1-1-1-11111111100-2-200-2-2222200000000000000-1-11111-1-100000000
χ2922222222-12-1-122-1-122-122-12-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-1-111111111-1-1-1-11111002200-2-222-2-20000000000000011-1-111-1-100000000
χ3022222222-12-1-122-1-122-122-12-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-1-111111111-1-1-1-1111100-2-20022-2-22200000000000000-1-111-1-11100000000
χ3122222222-12-1-122-1-122-122-12-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-11111111111-1-1-1-1002200-2-2-2-22200000000000000-1-1-1-1111100000000
χ3222222222-12-1-122-1-122-122-12-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-11111111111-1-1-1-100-2-2002222-2-2000000000000001111-1-1-1-100000000
χ33222-2-2-22-2222-2-2-22-22-2-22-222-22222-2-2-2-220000002-2-2-222-20000000000002222-2-2-2-200000000000000000000000000002i−2i000000000000002i−2i0000002i−2i000000
χ34222-2-2-22-2222-2-2-22-22-2-22-222-22222-2-2-2-220000002-2-2-222-20000000000002222-2-2-2-20000000000000000000000000000−2i2i00000000000000−2i2i000000−2i2i000000
χ35222-2-2-22-2222-2-2-22-22-2-22-222-2-2-2-2-2222220000002-2-2-222-2000000000000-2-2-2-2222200000000000000000000000000002i−2i000000000000002i−2i000000−2i2i000000
χ36222-2-2-22-2222-2-2-22-22-2-22-222-2-2-2-2-2222220000002-2-2-222-2000000000000-2-2-2-222220000000000000000000000000000−2i2i00000000000000−2i2i0000002i−2i000000
χ3722-22-22-2-222-2-22-2-2222-2-2-22-222i2i−2i−2i2i2i−2i−2i2000000-22-2-22-220000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-200000000000000000000002-20000002i−2i00
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χ4122-2-22-2-2222-22-22-2-22-22-222-2-22i2i−2i−2i−2i−2i2i2i2002i−2i00-2-2222-2-2000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i−2i000000002i2i−2i−2i00002-200000000000022-2-2000000000000000000000000
χ4222-2-22-2-2222-22-22-2-22-22-222-2-22i2i−2i−2i−2i−2i2i2i200−2i2i00-2-2222-2-200000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i2i00000000−2i−2i2i2i0000-22000000000000-2-222000000000000000000000000
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χ4522-2-22-2-222-1-221-1-2-2-1121-121-22i2i−2i−2i−2i−2i2i2i-1002i−2i0011-1-1-111−i3−i3i3i333−3−3−i−iii−i−iiiii−i−i2i−2i0000−i3−i3i3i3−i−iii33−3−32-2000000000000-1-11133−3−3−i3−i3i3i30000000000000000
χ4622-2-22-2-222-1-221-1-2-2-1121-121-22i2i−2i−2i−2i−2i2i2i-1002i−2i0011-1-1-111i3i3−i3−i3−3−333−i−iii−i−iiiii−i−i2i−2i0000i3i3−i3−i3−i−iii−3−3332-2000000000000-1-111−3−333i3i3−i3−i30000000000000000
χ4722-2-22-2-222-1-221-1-2-2-1121-121-22i2i−2i−2i−2i−2i2i2i-100−2i2i0011-1-1-111−i3−i3i3i3−3−333ii−i−i−i−iiiii−i−i−2i2i0000−i3−i3i3i3ii−i−i−3−333-2200000000000011-1-133−3−3i3i3−i3−i30000000000000000
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χ542-222-2-2-2222-22222-2-2-2-2-2-2-2222-22-22-22-22−2i2i0000-222-2-22-2−2i2i−2i2i000000002-22-22-22-20000−2i2i−2i2i−2i2i00000000000000000000−2i2i0000−2i2i−2i2i00000000000000000000
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χ602-222-2-2-222-1-22-1-12-211-211-2-122-22-22-22-2-1−2i2i00001-1-111-11i−ii−i−33−33−i3i3−i3i3-11-11-11-110000−2i2ii−ii−i−i3i3−i3i3−33−33000000000000−2i2i−i3i3−i3i3i−ii−i−33−330000000000000000
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χ622-222-2-2-222-1-22-1-12-211-211-2-12-22-22-22-22-12i−2i00001-1-111-11−ii−ii−33−33i3−i3i3−i31-11-11-11-100002i−2i−ii−iii3−i3i3−i3−33−33000000000000−2i2i−i3i3−i3i3i−ii−i3−33−30000000000000000
χ632-222-2-2-222-1-22-1-12-211-211-2-12-22-22-22-22-1−2i2i00001-1-111-11i−ii−i3−33−3i3−i3i3−i31-11-11-11-10000−2i2ii−ii−ii3−i3i3−i33−33−30000000000002i−2i−i3i3−i3i3−ii−ii−33−330000000000000000
χ642-222-2-2-222-1-22-1-12-211-211-2-12-22-22-22-22-1−2i2i00001-1-111-11i−ii−i−33−33−i3i3−i3i31-11-11-11-10000−2i2ii−ii−i−i3i3−i3i3−33−330000000000002i−2ii3−i3i3−i3−ii−ii3−33−30000000000000000
χ652-22-222-2-222-2-2-2-222-222-22-22-22-22-2-22-222000000-2-2-22-2220000000000002-22-2-22-22000000000000000000000000002i−2i00000000000000000000002i−2i0000002i−2i
χ662-22-222-2-222-2-2-2-222-222-22-22-22-22-2-22-222000000-2-2-22-2220000000000002-22-2-22-2200000000000000000000000000−2i2i0000000000000000000000−2i2i000000−2i2i
χ672-22-222-2-222-2-2-2-222-222-22-22-2-22-222-22-22000000-2-2-22-222000000000000-22-222-22-2000000000000000000000000002i−2i00000000000000000000002i−2i000000−2i2i
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χ742-2-2-2-22222222-22-22-22-22-2-2-2-22i−2i−2i2i−2i2i2i−2i20000-222-22-2-2-220000-222-200002i−2i−2i2i−2i2i2i−2i00-220000000000-222-20000−2i2i00000000000000002i−2i−2i2i0000000000000000
χ752-2-2-2-22222222-22-22-22-22-2-2-2-2−2i2i2i−2i2i−2i−2i2i200002-22-22-2-2-2200002-2-220000−2i2i2i−2i2i−2i−2i2i002-200000000002-2-220000−2i2i00000000000000002i−2i−2i2i0000000000000000
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χ822-2-2-2-22222-1221-1-221-1-2-11-21-2−2i2i2i−2i2i−2i−2i2i-100002-2-11-1111-1−333−3-111-13−3−33i−i−ii−iii−i002-200−333−33−3−33-111-10000−2i2i00000000i3−i3−i3i3i3−i3−i3i3−iii−i0000000000000000
χ832-2-2-2-22222-1221-1-221-1-2-11-21-2−2i2i2i−2i2i−2i−2i2i-10000-22-11-1111-13−3−331-1-113−3−33i−i−ii−iii−i00-22003−3−333−3−331-1-1100002i−2i00000000i3−i3−i3i3−i3i3i3−i3i−i−ii0000000000000000
χ842-2-2-2-22222-1221-1-221-1-2-11-21-2−2i2i2i−2i2i−2i−2i2i-10000-22-11-1111-1−333−31-1-11−333−3i−i−ii−iii−i00-2200−333−3−333−31-1-1100002i−2i00000000−i3i3i3−i3i3−i3−i3i3i−i−ii0000000000000000
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
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000144-4-4-4-41111111-2-2-2-222222222000000002222-2-21111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8744444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000001-4-444-4-4111111122222222-2-2-2-200000000-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000001-4-4-4-44411111112222-2-2-2-222220000000022-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ89444-4-4-44-44-24-4224-4-22-4-224-2-44444-4-4-4-4-2000000-2222-2-22000000000000-2-2-2-22222000000000000000000000000000000000000000000000000000000000000
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χ9944-4-44-4-44-2-22-22-222-22-22-2-222000000001004i−4i00-1-1111-1-1−2i3−2i32i32i32323−23−23−2i−2i2i2i00000000−2i2i0000i3i3−i3−i3ii−i−i−3−333000000000000000000000000000000000000000000
χ10044-4-44-4-44-2-22-22-222-22-22-2-222000000001004i−4i00-1-1111-1-12i32i3−2i3−2i3−23−232323−2i−2i2i2i00000000−2i2i0000−i3−i3i3i3ii−i−i33−3−3000000000000000000000000000000000000000000
χ10144-4-44-4-44-2-22-22-222-22-22-2-22200000000100−4i4i00-1-1111-1-1−2i3−2i32i32i3−23−2323232i2i−2i−2i000000002i−2i0000i3i3−i3−i3−i−iii33−3−3000000000000000000000000000000000000000000
χ10244-4-44-4-44-2-22-22-222-22-22-2-22200000000100−4i4i00-1-1111-1-12i32i3−2i3−2i32323−23−232i2i−2i−2i000000002i−2i0000−i3−i3i3i3−i−iii−3−333000000000000000000000000000000000000000000
χ1034-444-4-4-44-242-244-22-4-42-4-424-200000000-24i−4i00002-2-222-224i−4i4i−4i00000000000000000000−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ1044-444-4-4-44-242-244-22-4-42-4-424-200000000-2−4i4i00002-2-222-22−4i4i−4i4i000000000000000000002i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000
χ1054-444-4-4-44-2-22-2-2-2-22222222-2-20000000014i−4i0000-111-1-11-1−2i2i−2i2i23−2323−23−2i32i3−2i32i3000000000000−2i2ii−ii−ii3−i3i3−i3−33−33000000000000000000000000000000000000000000
χ1064-444-4-4-44-2-22-2-2-2-22222222-2-20000000014i−4i0000-111-1-11-1−2i2i−2i2i−2323−23232i3−2i32i3−2i3000000000000−2i2ii−ii−i−i3i3−i3i33−33−3000000000000000000000000000000000000000000
χ1074-444-4-4-44-2-22-2-2-2-22222222-2-2000000001−4i4i0000-111-1-11-12i−2i2i−2i23−2323−232i3−2i32i3−2i30000000000002i−2i−ii−ii−i3i3−i3i3−33−33000000000000000000000000000000000000000000
χ1084-444-4-4-44-2-22-2-2-2-22222222-2-2000000001−4i4i0000-111-1-11-12i−2i2i−2i−2323−2323−2i32i3−2i32i30000000000002i−2i−ii−iii3−i3i3−i33−33−3000000000000000000000000000000000000000000
χ1094-44-444-4-44-2-4-422442-242-2-4-2-44-44-4-44-44-2000000222-22-2-2000000000000-22-222-22-2000000000000000000000000000000000000000000000000000000000000
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χ1144-4-444-44-44-24-4-22-4-4224-2-2-424−4i4i4i−4i−4i4i4i−4i-2000000-2-22-22220000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
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χ1194-4-4-4-4444-2-2-2-22-22-22-22-2222200000000100004-41-11-1-1-1123−23−2323-222-2−232323−230000000000-2200−333−33−3−331-1-11000000000000000000000000000000000000000000
χ1204-4-4-4-4444-2-2-2-22-22-22-22-2222200000000100004-41-11-1-1-11−232323−23-222-223−23−23230000000000-22003−3−33−333−31-1-11000000000000000000000000000000000000000000
χ1214-4-4-4-4444-2-2-2-22-22-22-22-222220000000010000-441-11-1-1-1123−23−23232-2-2223−23−232300000000002-200−333−3−333−3-111-1000000000000000000000000000000000000000000
χ1224-4-4-4-4444-2-2-2-22-22-22-22-222220000000010000-441-11-1-1-11−232323−232-2-22−232323−2300000000002-2003−3−333−3−33-111-1000000000000000000000000000000000000000000
χ123888-8-8-88-8-4-4-4444-44-444-44-4-440000000020000002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-88-88-8-8-4-444-444-4-4-4444-44-4000000002000000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-888-8-8-4-44444-4-44-4-44-44-44000000002000000-2-2-22-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-888-88-8-4-4-44-444444-4-4-444-400000000200000022-22-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000

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