Finite Group Databasebeta

← Group #13155501

Character table — Group #13155501

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222224444444444441212121212121212121212121818181822224444444444888888888888242424242424242424242424363636363333666666666612121212121212121212121236363636363636363636363654545454
order12442334661212121236666612121212121288882424242424242424888836121263312661212121236666612121212121224242424242424242424242424242424224426646612121212666666121212121212888824242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-111111-1-1-1-11-1-1-1-111111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1-111111-1-1-1-11-1-1-1-111111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1-111111-1-1-1-11-1-1-1-111111-1-1i−ii−iii−i−iii−i−i11-1-1
χ611-1-1-111111-1-1-1-11-1-1-1-111111-1-1i−i−iiii−i−i−i−iii-1-11111-1-1-111111-1-1-1-11-1-1-1-111111-1-1i−i−iiii−i−i−i−iii-1-11111-1-1-111111-1-1-1-11-1-1-1-111111-1-1i−i−iiii−i−i−i−iii-1-111
χ711-1-1-111111-1-1-1-11-1-1-1-111111-1-1−iii−i−i−iiiii−i−i-1-11111-1-1-111111-1-1-1-11-1-1-1-111111-1-1−iii−i−i−iiiii−i−i-1-11111-1-1-111111-1-1-1-11-1-1-1-111111-1-1−iii−i−i−iiiii−i−i-1-111
χ811-1-1-111111-1-1-1-11-1-1-1-111111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1-111111-1-1-1-11-1-1-1-111111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1-111111-1-1-1-11-1-1-1-111111-1-1−ii−ii−i−iii−i−iii11-1-1
χ9222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100220000-1-1-1-10000222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100220000-1-1-1-10000222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100220000-1-1-1-10000
χ10222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100-2-2000011110000222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100-2-2000011110000222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100-2-2000011110000
χ1122222-122-12-1-122-1-12-1-1-1-12-1-1-1-12200-1-1-1-10000000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-12200-1-1-1-10000000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-12200-1-1-1-100000000
χ1222222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-2-20011110000000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-2-20011110000000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-2-200111100000000
χ132222-222-22222222-2-2-2-22-2-2-2-22200000000000000002222-222-22222222-2-2-2-22-2-2-2-22200000000000000002222-222-22222222-2-2-2-22-2-2-2-2220000000000000000
χ142222-22-1-22-122-1-1-1-2111-1-2111-1-100000000−i3i3−i3i300002222-22-1-22-122-1-1-1-2111-1-2111-1-100000000−i3i3−i3i300002222-22-1-22-122-1-1-1-2111-1-2111-1-100000000−i3i3−i3i30000
χ152222-22-1-22-122-1-1-1-2111-1-2111-1-100000000i3−i3i3−i300002222-22-1-22-122-1-1-1-2111-1-2111-1-100000000i3−i3i3−i300002222-22-1-22-122-1-1-1-2111-1-2111-1-100000000i3−i3i3−i30000
χ162222-2-12-2-12-1-122-11-211-11-211-1-10000−i3i3−i3i3000000002222-2-12-2-12-1-122-11-211-11-211-1-10000−i3i3−i3i3000000002222-2-12-2-12-1-122-11-211-11-211-1-10000−i3i3−i3i300000000
χ172222-2-12-2-12-1-122-11-211-11-211-1-10000i3−i3i3−i3000000002222-2-12-2-12-1-122-11-211-11-211-1-10000i3−i3i3−i3000000002222-2-12-2-12-1-122-11-211-11-211-1-10000i3−i3i3−i300000000
χ1822-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-20000000000000000
χ1922-2-222-1-22-1-2-211-12-1-1-1-1-211111000000003−3−33000022-2-222-1-22-1-2-211-12-1-1-1-1-211111000000003−3−33000022-2-222-1-22-1-2-211-12-1-1-1-1-211111000000003−3−330000
χ2022-2-222-1-22-1-2-211-12-1-1-1-1-21111100000000−333−3000022-2-222-1-22-1-2-211-12-1-1-1-1-21111100000000−333−3000022-2-222-1-22-1-2-211-12-1-1-1-1-21111100000000−333−30000
χ2122-2-22-12-2-1211-2-2-1-12-1-1-11-2111100003−3−330000000022-2-22-12-2-1211-2-2-1-12-1-1-11-2111100003−3−330000000022-2-22-12-2-1211-2-2-1-12-1-1-11-2111100003−3−3300000000
χ2222-2-22-12-2-1211-2-2-1-12-1-1-11-211110000−333−30000000022-2-22-12-2-1211-2-2-1-12-1-1-11-211110000−333−30000000022-2-22-12-2-1211-2-2-1-12-1-1-11-211110000−333−300000000
χ2322-2-2-22-122-1-2-211-1-2111-12-1-1-111002i−2i0000−i−iii000022-2-2-22-122-1-2-211-1-2111-12-1-1-111002i−2i0000−i−iii000022-2-2-22-122-1-2-211-1-2111-12-1-1-111002i−2i0000−i−iii0000
χ2422-2-2-22-122-1-2-211-1-2111-12-1-1-11100−2i2i0000ii−i−i000022-2-2-22-122-1-2-211-1-2111-12-1-1-11100−2i2i0000ii−i−i000022-2-2-22-122-1-2-211-1-2111-12-1-1-11100−2i2i0000ii−i−i0000
χ2522-2-2-2-122-1211-2-2-11-211-1-12-1-1112i−2i00−i−iii0000000022-2-2-2-122-1211-2-2-11-211-1-12-1-1112i−2i00−i−iii0000000022-2-2-2-122-1211-2-2-11-211-1-12-1-1112i−2i00−i−iii00000000
χ2622-2-2-2-122-1211-2-2-11-211-1-12-1-111−2i2i00ii−i−i0000000022-2-2-2-122-1211-2-2-11-211-1-12-1-111−2i2i00ii−i−i0000000022-2-2-2-122-1211-2-2-11-211-1-12-1-111−2i2i00ii−i−i00000000
χ272-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000002−2−i2i22-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000002−2−i2i22-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000002−2−i2i2
χ282-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−22i2−i22-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−22i2−i22-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−22i2−i2
χ292-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i0000000000002−2i2−i22-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i0000000000002−2i2−i22-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i0000000000002−2i2−i2
χ302-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i000000000000−22−i2i22-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i000000000000−22−i2i22-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i000000000000−22−i2i2
χ3144444-2-24-2-2-2-2-2-21-2-2111-2-21111000000000000000044444-2-24-2-2-2-2-2-21-2-2111-2-21111000000000000000044444-2-24-2-2-2-2-2-21-2-2111-2-211110000000000000000
χ324444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-11100000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-11100000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-1110000000000000000
χ3344-4-44-2-2-4-2-222221-2-211122-1-1-1-1000000000000000044-4-44-2-2-4-2-222221-2-211122-1-1-1-1000000000000000044-4-44-2-2-4-2-222221-2-211122-1-1-1-10000000000000000
χ3444-4-4-4-2-24-2-22222122-1-11-2-211-1-1000000000000000044-4-4-4-2-24-2-22222122-1-11-2-211-1-1000000000000000044-4-4-4-2-24-2-22222122-1-11-2-211-1-10000000000000000
χ354-44i−4i04-20-424i−4i−2i2i-2000020000−2i2i00000000000000004-44i−4i04-20-424i−4i−2i2i-2000020000−2i2i00000000000000004-44i−4i04-20-424i−4i−2i2i-2000020000−2i2i0000000000000000
χ364-44i−4i0-2402-4−2i2i4i−4i-2000020000−2i2i00000000000000004-44i−4i0-2402-4−2i2i4i−4i-2000020000−2i2i00000000000000004-44i−4i0-2402-4−2i2i4i−4i-2000020000−2i2i0000000000000000
χ374-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i00000000000000004-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i00000000000000004-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i0000000000000000
χ384-44i−4i0-2-2022−2i2i−2i2i100-33-100−3i3ii−i00000000000000004-44i−4i0-2-2022−2i2i−2i2i100-33-100−3i3ii−i00000000000000004-44i−4i0-2-2022−2i2i−2i2i100-33-100−3i3ii−i0000000000000000
χ394-4−4i4i04-20-42−4i4i2i−2i-20000200002i−2i00000000000000004-4−4i4i04-20-42−4i4i2i−2i-20000200002i−2i00000000000000004-4−4i4i04-20-42−4i4i2i−2i-20000200002i−2i0000000000000000
χ404-4−4i4i0-2402-42i−2i−4i4i-20000200002i−2i00000000000000004-4−4i4i0-2402-42i−2i−4i4i-20000200002i−2i00000000000000004-4−4i4i0-2402-42i−2i−4i4i-20000200002i−2i0000000000000000
χ414-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii0000000000000000
χ424-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii0000000000000000
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
χ441111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ4511111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ4611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4711-1-1-111111-1-1-1-11-1-1-1-111111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1-111111-1-1-1-11-1-1-1-111111-1-1i−ii−iii−i−iii−i−i11-1-1-1-1111-1-1-1-1-11111-11111-1-1-1-1-111−ii−ii−i−iii−i−iii-1-111
χ4811-1-1-111111-1-1-1-11-1-1-1-111111-1-1i−i−iiii−i−i−i−iii-1-11111-1-1-111111-1-1-1-11-1-1-1-111111-1-1i−i−iiii−i−i−i−iii-1-111-1-1111-1-1-1-1-11111-11111-1-1-1-1-111−iii−i−i−iiiii−i−i11-1-1
χ4911-1-1-111111-1-1-1-11-1-1-1-111111-1-1−iii−i−i−iiiii−i−i-1-11111-1-1-111111-1-1-1-11-1-1-1-111111-1-1−iii−i−i−iiiii−i−i-1-111-1-1111-1-1-1-1-11111-11111-1-1-1-1-111i−i−iiii−i−i−i−iii11-1-1
χ5011-1-1-111111-1-1-1-11-1-1-1-111111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1-111111-1-1-1-11-1-1-1-111111-1-1−ii−ii−i−iii−i−iii11-1-1-1-1111-1-1-1-1-11111-11111-1-1-1-1-111i−ii−iii−i−iii−i−i-1-111
χ51222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100220000-1-1-1-10000222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100220000-1-1-1-10000-2-2-2-2-2-21-2-21-2-2111-21111-21111100-2-2000011110000
χ52222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100-2-2000011110000222222-122-122-1-1-12-1-1-1-12-1-1-1-1-100-2-2000011110000-2-2-2-2-2-21-2-21-2-2111-21111-21111100220000-1-1-1-10000
χ5322222-122-12-1-122-1-12-1-1-1-12-1-1-1-12200-1-1-1-10000000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-12200-1-1-1-100000000-2-2-2-2-21-2-21-211-2-211-21111-21111-2-200111100000000
χ5422222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-2-20011110000000022222-122-12-1-122-1-12-1-1-1-12-1-1-1-1-2-200111100000000-2-2-2-2-21-2-21-211-2-211-21111-211112200-1-1-1-100000000
χ552222-222-22222222-2-2-2-22-2-2-2-22200000000000000002222-222-22222222-2-2-2-22-2-2-2-2220000000000000000-2-2-2-22-2-22-2-2-2-2-2-2-22222-22222-2-20000000000000000
χ562222-22-1-22-122-1-1-1-2111-1-2111-1-100000000−i3i3−i3i300002222-22-1-22-122-1-1-1-2111-1-2111-1-100000000−i3i3−i3i30000-2-2-2-22-212-21-2-21112-1-1-112-1-1-11100000000i3−i3i3−i30000
χ572222-22-1-22-122-1-1-1-2111-1-2111-1-100000000i3−i3i3−i300002222-22-1-22-122-1-1-1-2111-1-2111-1-100000000i3−i3i3−i30000-2-2-2-22-212-21-2-21112-1-1-112-1-1-11100000000−i3i3−i3i30000
χ582222-2-12-2-12-1-122-11-211-11-211-1-10000−i3i3−i3i3000000002222-2-12-2-12-1-122-11-211-11-211-1-10000−i3i3−i3i300000000-2-2-2-221-221-211-2-21-12-1-11-12-1-1110000i3−i3i3−i300000000
χ592222-2-12-2-12-1-122-11-211-11-211-1-10000i3−i3i3−i3000000002222-2-12-2-12-1-122-11-211-11-211-1-10000i3−i3i3−i300000000-2-2-2-221-221-211-2-21-12-1-11-12-1-1110000−i3i3−i3i300000000
χ6022-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-20000000000000000-2-222-2-2-22-2-22222-2-2-2-2-2-22222220000000000000000
χ6122-2-222-1-22-1-2-211-12-1-1-1-1-211111000000003−3−33000022-2-222-1-22-1-2-211-12-1-1-1-1-211111000000003−3−330000-2-222-2-212-2122-1-11-211112-1-1-1-1-100000000−333−30000
χ6222-2-222-1-22-1-2-211-12-1-1-1-1-21111100000000−333−3000022-2-222-1-22-1-2-211-12-1-1-1-1-21111100000000−333−30000-2-222-2-212-2122-1-11-211112-1-1-1-1-1000000003−3−330000
χ6322-2-22-12-2-1211-2-2-1-12-1-1-11-2111100003−3−330000000022-2-22-12-2-1211-2-2-1-12-1-1-11-2111100003−3−3300000000-2-222-21-221-2-1-12211-2111-12-1-1-1-10000−333−300000000
χ6422-2-22-12-2-1211-2-2-1-12-1-1-11-211110000−333−30000000022-2-22-12-2-1211-2-2-1-12-1-1-11-211110000−333−300000000-2-222-21-221-2-1-12211-2111-12-1-1-1-100003−3−3300000000
χ6522-2-2-22-122-1-2-211-1-2111-12-1-1-111002i−2i0000−i−iii000022-2-2-22-122-1-2-211-1-2111-12-1-1-111002i−2i0000−i−iii0000-2-2222-21-2-2122-1-112-1-1-11-2111-1-100−2i2i0000ii−i−i0000
χ6622-2-2-22-122-1-2-211-1-2111-12-1-1-11100−2i2i0000ii−i−i000022-2-2-22-122-1-2-211-1-2111-12-1-1-11100−2i2i0000ii−i−i0000-2-2222-21-2-2122-1-112-1-1-11-2111-1-1002i−2i0000−i−iii0000
χ6722-2-2-2-122-1211-2-2-11-211-1-12-1-1112i−2i00−i−iii0000000022-2-2-2-122-1211-2-2-11-211-1-12-1-1112i−2i00−i−iii00000000-2-22221-2-21-2-1-1221-12-1-111-211-1-1−2i2i00ii−i−i00000000
χ6822-2-2-2-122-1211-2-2-11-211-1-12-1-111−2i2i00ii−i−i0000000022-2-2-2-122-1211-2-2-11-211-1-12-1-111−2i2i00ii−i−i00000000-2-22221-2-21-2-1-1221-12-1-111-211-1-12i−2i00−i−iii00000000
χ692-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000002−2−i2i22-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000002−2−i2i2-22−2i2i0-2-2022−2i2i−2i2i-2000020000−2i2i000000000000−22i2−i2
χ702-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−22i2−i22-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−22i2−i2-22−2i2i0-2-2022−2i2i−2i2i-2000020000−2i2i0000000000002−2−i2i2
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χ7344444-2-24-2-2-2-2-2-21-2-2111-2-21111000000000000000044444-2-24-2-2-2-2-2-21-2-2111-2-211110000000000000000-4-4-4-4-422-4222222-122-1-1-122-1-1-1-10000000000000000
χ744444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-11100000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-1110000000000000000-4-4-4-44224222222-1-2-211-1-2-211-1-10000000000000000
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χ7644-4-4-4-2-24-2-22222122-1-11-2-211-1-1000000000000000044-4-4-4-2-24-2-22222122-1-11-2-211-1-10000000000000000-4-444422-422-2-2-2-2-1-2-211-122-1-1110000000000000000
χ774-44i−4i04-20-424i−4i−2i2i-2000020000−2i2i00000000000000004-44i−4i04-20-424i−4i−2i2i-2000020000−2i2i0000000000000000-44−4i4i0-4204-2−4i4i2i−2i20000-200002i−2i0000000000000000
χ784-44i−4i0-2402-4−2i2i4i−4i-2000020000−2i2i00000000000000004-44i−4i0-2402-4−2i2i4i−4i-2000020000−2i2i0000000000000000-44−4i4i02-40-242i−2i−4i4i20000-200002i−2i0000000000000000
χ794-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i00000000000000004-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i0000000000000000-44−4i4i0220-2-22i−2i2i−2i-100-33100−3i3i−ii0000000000000000
χ804-44i−4i0-2-2022−2i2i−2i2i100-33-100−3i3ii−i00000000000000004-44i−4i0-2-2022−2i2i−2i2i100-33-100−3i3ii−i0000000000000000-44−4i4i0220-2-22i−2i2i−2i-1003-31003i−3i−ii0000000000000000
χ814-4−4i4i04-20-42−4i4i2i−2i-20000200002i−2i00000000000000004-4−4i4i04-20-42−4i4i2i−2i-20000200002i−2i0000000000000000-444i−4i0-4204-24i−4i−2i2i20000-20000−2i2i0000000000000000
χ824-4−4i4i0-2402-42i−2i−4i4i-20000200002i−2i00000000000000004-4−4i4i0-2402-42i−2i−4i4i-20000200002i−2i0000000000000000-444i−4i02-40-24−2i2i4i−4i20000-20000−2i2i0000000000000000
χ834-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii0000000000000000-444i−4i0220-2-2−2i2i−2i2i-100-331003i−3ii−i0000000000000000
χ844-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii0000000000000000-444i−4i0220-2-2−2i2i−2i2i-1003-3100−3i3ii−i0000000000000000
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
χ862222222222222222222222222222-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111000000000000000000000000000000000000000000
χ8722222222222222222222222222-2-222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111000000000000000000000000000000000000000000
χ8822222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1000000000000000000000000000000000000000000
χ8922-2-2-222222-2-2-2-22-2-2-2-222222-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i22-2-2-1-1111-1-1-1-1-11111-11111-1-1-1-1-111−ii−ii−i−iii−i−iii-1-111000000000000000000000000000000000000000000
χ9022-2-2-222222-2-2-2-22-2-2-2-222222-2-22i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-2-222-1-1111-1-1-1-1-11111-11111-1-1-1-1-111−iii−i−i−iiiii−i−i11-1-1000000000000000000000000000000000000000000
χ9122-2-2-222222-2-2-2-22-2-2-2-222222-2-2−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-2-222-1-1111-1-1-1-1-11111-11111-1-1-1-1-111i−i−iiii−i−i−i−iii11-1-1000000000000000000000000000000000000000000
χ9222-2-2-222222-2-2-2-22-2-2-2-222222-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i22-2-2-1-1111-1-1-1-1-11111-11111-1-1-1-1-111i−ii−iii−i−iii−i−i-1-111000000000000000000000000000000000000000000
χ93444444-244-244-2-2-24-2-2-2-24-2-2-2-2-200440000-2-2-2-20000-2-2-2-2-2-21-2-21-2-2111-21111-21111100-2-2000011110000000000000000000000000000000000000000000000
χ94444444-244-244-2-2-24-2-2-2-24-2-2-2-2-200-4-4000022220000-2-2-2-2-2-21-2-21-2-2111-21111-21111100220000-1-1-1-10000000000000000000000000000000000000000000000
χ9544444-244-24-2-244-2-24-2-2-2-24-2-2-2-24400-2-2-2-200000000-2-2-2-2-21-2-21-211-2-211-21111-21111-2-200111100000000000000000000000000000000000000000000000000
χ9644444-244-24-2-244-2-24-2-2-2-24-2-2-2-2-4-400222200000000-2-2-2-2-21-2-21-211-2-211-21111-211112200-1-1-1-100000000000000000000000000000000000000000000000000
χ974444-444-44444444-4-4-4-44-4-4-4-4440000000000000000-2-2-2-22-2-22-2-2-2-2-2-2-22222-22222-2-20000000000000000000000000000000000000000000000000000000000
χ984444-44-2-44-244-2-2-2-4222-2-4222-2-200000000−2i32i3−2i32i30000-2-2-2-22-212-21-2-21112-1-1-112-1-1-11100000000i3−i3i3−i30000000000000000000000000000000000000000000000
χ994444-44-2-44-244-2-2-2-4222-2-4222-2-2000000002i3−2i32i3−2i30000-2-2-2-22-212-21-2-21112-1-1-112-1-1-11100000000−i3i3−i3i30000000000000000000000000000000000000000000000
χ1004444-4-24-4-24-2-244-22-422-22-422-2-20000−2i32i3−2i32i300000000-2-2-2-221-221-211-2-21-12-1-11-12-1-1110000i3−i3i3−i300000000000000000000000000000000000000000000000000
χ1014444-4-24-4-24-2-244-22-422-22-422-2-200002i3−2i32i3−2i300000000-2-2-2-221-221-211-2-21-12-1-11-12-1-1110000−i3i3−i3i300000000000000000000000000000000000000000000000000
χ10244-4-4444-444-4-4-4-4444444-4-4-4-4-4-40000000000000000-2-222-2-2-22-2-22222-2-2-2-2-2-22222220000000000000000000000000000000000000000000000000000000000
χ10344-4-444-2-44-2-4-422-24-2-2-2-2-4222220000000023−23−23230000-2-222-2-212-2122-1-11-211112-1-1-1-1-100000000−333−30000000000000000000000000000000000000000000000
χ10444-4-444-2-44-2-4-422-24-2-2-2-2-42222200000000−232323−230000-2-222-2-212-2122-1-11-211112-1-1-1-1-1000000003−3−330000000000000000000000000000000000000000000000
χ10544-4-44-24-4-2422-4-4-2-24-2-2-22-42222000023−23−232300000000-2-222-21-221-2-1-12211-2111-12-1-1-1-10000−333−300000000000000000000000000000000000000000000000000
χ10644-4-44-24-4-2422-4-4-2-24-2-2-22-422220000−232323−2300000000-2-222-21-221-2-1-12211-2111-12-1-1-1-100003−3−3300000000000000000000000000000000000000000000000000
χ10744-4-4-44-244-2-4-422-2-4222-24-2-2-222004i−4i0000−2i−2i2i2i0000-2-2222-21-2-2122-1-112-1-1-11-2111-1-100−2i2i0000ii−i−i0000000000000000000000000000000000000000000000
χ10844-4-4-44-244-2-4-422-2-4222-24-2-2-22200−4i4i00002i2i−2i−2i0000-2-2222-21-2-2122-1-112-1-1-11-2111-1-1002i−2i0000−i−iii0000000000000000000000000000000000000000000000
χ10944-4-4-4-244-2422-4-4-22-422-2-24-2-2224i−4i00−2i−2i2i2i00000000-2-22221-2-21-2-1-1221-12-1-111-211-1-1−2i2i00ii−i−i00000000000000000000000000000000000000000000000000
χ11044-4-4-4-244-2422-4-4-22-422-2-24-2-222−4i4i002i2i−2i−2i00000000-2-22221-2-21-2-1-1221-12-1-111-211-1-12i−2i00−i−iii00000000000000000000000000000000000000000000000000
χ1114-44i−4i0440-4-44i−4i4i−4i40000-400004i−4i00000000000022−22−2i22i2-22−2i2i0-2-2022−2i2i−2i2i-2000020000−2i2i000000000000−22i2−i2000000000000000000000000000000000000000000
χ1124-44i−4i0440-4-44i−4i4i−4i40000-400004i−4i000000000000−22222i2−2i2-22−2i2i0-2-2022−2i2i−2i2i-2000020000−2i2i0000000000002−2−i2i2000000000000000000000000000000000000000000
χ1134-4−4i4i0440-4-4−4i4i−4i4i40000-40000−4i4i00000000000022−222i2−2i2-222i−2i0-2-20222i−2i2i−2i-20000200002i−2i000000000000−22−i2i2000000000000000000000000000000000000000000
χ1144-4−4i4i0440-4-4−4i4i−4i4i40000-40000−4i4i000000000000−2222−2i22i2-222i−2i0-2-20222i−2i2i−2i-20000200002i−2i0000000000002−2i2−i2000000000000000000000000000000000000000000
χ11588888-4-48-4-4-4-4-4-42-4-4222-4-422220000000000000000-4-4-4-4-422-4222222-122-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1168888-8-4-4-8-4-4-4-4-4-4244-2-2244-2-2220000000000000000-4-4-4-44224222222-1-2-211-1-2-211-1-10000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-4-8-4-444442-4-422244-2-2-2-20000000000000000-4-444-422422-2-2-2-2-122-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ11888-8-8-8-4-48-4-44444244-2-22-4-422-2-20000000000000000-4-444422-422-2-2-2-2-1-2-211-122-1-1110000000000000000000000000000000000000000000000000000000000
χ1198-88i−8i08-40-848i−8i−4i4i-4000040000−4i4i0000000000000000-44−4i4i0-4204-2−4i4i2i−2i20000-200002i−2i0000000000000000000000000000000000000000000000000000000000
χ1208-88i−8i0-4804-8−4i4i8i−8i-4000040000−4i4i0000000000000000-44−4i4i02-40-242i−2i−4i4i20000-200002i−2i0000000000000000000000000000000000000000000000000000000000
χ1218-88i−8i0-4-4044−4i4i−4i4i2006-6-2006i−6i2i−2i0000000000000000-44−4i4i0220-2-22i−2i2i−2i-100-33100−3i3i−ii0000000000000000000000000000000000000000000000000000000000
χ1228-88i−8i0-4-4044−4i4i−4i4i200-66-200−6i6i2i−2i0000000000000000-44−4i4i0220-2-22i−2i2i−2i-1003-31003i−3i−ii0000000000000000000000000000000000000000000000000000000000
χ1238-8−8i8i08-40-84−8i8i4i−4i-40000400004i−4i0000000000000000-444i−4i0-4204-24i−4i−2i2i20000-20000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1248-8−8i8i0-4804-84i−4i−8i8i-40000400004i−4i0000000000000000-444i−4i02-40-24−2i2i4i−4i20000-20000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1258-8−8i8i0-4-40444i−4i4i−4i2006-6-200−6i6i−2i2i0000000000000000-444i−4i0220-2-2−2i2i−2i2i-100-331003i−3ii−i0000000000000000000000000000000000000000000000000000000000
χ1268-8−8i8i0-4-40444i−4i4i−4i200-66-2006i−6i−2i2i0000000000000000-444i−4i0220-2-2−2i2i−2i2i-1003-3100−3i3ii−i0000000000000000000000000000000000000000000000000000000000

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