Finite Group Databasebeta

← Group #11808897

Character table — Group #11808897

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order1222222233666666666666664444444434444446666666121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444121212121212121212121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ17222222222-1222-1-1-122-1-1-1-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002200002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-1-122-1-1-1-12222222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-2-1-1-1-1111111110000-2-2000022-2-2-1-1-1-1111111110000000000000000
χ19222222222-1222-1-1-122-1-1-1-12222222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-111110000-2-20000-2-2221111-1-1-1-111110000000000000000
χ20222222222-1222-1-1-122-1-1-1-12222222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211111111-1-1-1-10000220000-2-2-2-211111111-1-1-1-10000000000000000
χ21222222222-1222-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000-2-2-2-21111111111110000000000000000
χ22222222222-1222-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-222-2-2-1-1-1-1111111110000220000-2-2221111-1-1-1-1-1-1-1-10000000000000000
χ23222222222-1222-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-2-2-2221111-1-1-1-11111000022000022-2-2-1-1-1-11111-1-1-1-10000000000000000
χ24222222222-1222-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-11111111122-2-2-2-211111111-1-1-1-10000-2-200002222-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-12-1-1-1222-1-12222-1-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220022220000000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-1-1222-1-12222-1-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-200000000000000001111111100000000
χ2722222222-12-1-1-1222-1-12222-1-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000011-1-111-1-1-1-111111111222200-2-2-2-200000000000000001111-1-1-1-100000000
χ2822222222-12-1-1-1222-1-12222-1-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000011-1-111-1-1-1-111111111-2-2-2-20022220000000000000000-1-1-1-1111100000000
χ2922222222-12-1-1-1222-1-12222-1-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-11111-1-1-1-1111122-2-20022-2-20000000000000000-1-111-1-11100000000
χ3022222222-12-1-1-1222-1-12222-1-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-11111-1-1-1-11111-2-22200-2-222000000000000000011-1-111-1-100000000
χ3122222222-12-1-1-1222-1-12222-1-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-1-1111111111111-1-1-1-122-2-200-2-222000000000000000011-1-1-1-11100000000
χ3222222222-12-1-1-1222-1-12222-1-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-1-1111111111111-1-1-1-1-2-2220022-2-20000000000000000-1-11111-1-100000000
χ332222-2-2-2-222-2-2-222-22-22-2-2-2222i2i2i2i−2i−2i−2i−2i20000002-2-2-222-20000000000002i2i2i2i−2i−2i−2i−2i000000000000000000002-200000000000000000000000000002-20000002i−2i
χ342222-2-2-2-222-2-2-222-22-22-2-2-2222i2i2i2i−2i−2i−2i−2i20000002-2-2-222-20000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000-220000000000000000000000000000-22000000−2i2i
χ352222-2-2-2-222-2-2-222-22-22-2-2-222−2i−2i−2i−2i2i2i2i2i20000002-2-2-222-2000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000002-200000000000000000000000000002-2000000−2i2i
χ362222-2-2-2-222-2-2-222-22-22-2-2-222−2i−2i−2i−2i2i2i2i2i20000002-2-2-222-2000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000-220000000000000000000000000000-220000002i−2i
χ3722-2-22-22-2222-2-22-2-2-22-222-22-222-2-222-2-2200002i−2i-222-22-2-2000000002i2i−2i−2i22-2-222-2-22i−2i0000000000002i2i−2i−2i00002i−2i00000000000000002i2i−2i−2i0000000000000000
χ3822-2-22-22-2222-2-22-2-2-22-222-22-222-2-222-2-220000−2i2i-222-22-2-200000000−2i−2i2i2i22-2-222-2-2−2i2i000000000000−2i−2i2i2i0000−2i2i0000000000000000−2i−2i2i2i0000000000000000
χ3922-2-22-22-2222-2-22-2-2-22-222-22-2-2-222-2-222200002i−2i-222-22-2-2000000002i2i−2i−2i-2-222-2-2222i−2i0000000000002i2i−2i−2i0000−2i2i0000000000000000−2i−2i2i2i0000000000000000
χ4022-2-22-22-2222-2-22-2-2-22-222-22-2-2-222-2-22220000−2i2i-222-22-2-200000000−2i−2i2i2i-2-222-2-222−2i2i000000000000−2i−2i2i2i00002i−2i00000000000000002i2i−2i−2i0000000000000000
χ4122-2-22-22-22-12-2-2-111-221-1-112-222-2-222-2-2-100002i−2i1-1-11-111−i3−i3i3i333−3−3−i−iii-1-111-1-1112i−2i0000−i3−i3i3i333−3−3−i−iii00002i−2i00000000−i3−i3i3i333−3−3−i−iii0000000000000000
χ4222-2-22-22-22-12-2-2-111-221-1-112-222-2-222-2-2-100002i−2i1-1-11-111i3i3−i3−i3−3−333−i−iii-1-111-1-1112i−2i0000i3i3−i3−i3−3−333−i−iii00002i−2i00000000i3i3−i3−i3−3−333−i−iii0000000000000000
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χ4422-2-22-22-22-12-2-2-111-221-1-112-222-2-222-2-2-10000−2i2i1-1-11-111i3i3−i3−i333−3−3ii−i−i-1-111-1-111−2i2i0000i3i3−i3−i333−3−3ii−i−i0000−2i2i00000000i3i3−i3−i333−3−3ii−i−i0000000000000000
χ4522-2-22-22-22-12-2-2-111-221-1-112-2-2-222-2-222-100002i−2i1-1-11-111−i3−i3i3i333−3−3−i−iii11-1-111-1-12i−2i0000−i3−i3i3i333−3−3−i−iii0000−2i2i00000000i3i3−i3−i3−3−333ii−i−i0000000000000000
χ4622-2-22-22-22-12-2-2-111-221-1-112-2-2-222-2-222-100002i−2i1-1-11-111i3i3−i3−i3−3−333−i−iii11-1-111-1-12i−2i0000i3i3−i3−i3−3−333−i−iii0000−2i2i00000000−i3−i3i3i333−3−3ii−i−i0000000000000000
χ4722-2-22-22-22-12-2-2-111-221-1-112-2-2-222-2-222-10000−2i2i1-1-11-111−i3−i3i3i3−3−333ii−i−i11-1-111-1-1−2i2i0000−i3−i3i3i3−3−333ii−i−i00002i−2i00000000i3i3−i3−i333−3−3−i−iii0000000000000000
χ4822-2-22-22-22-12-2-2-111-221-1-112-2-2-222-2-222-10000−2i2i1-1-11-111i3i3−i3−i333−3−3ii−i−i11-1-111-1-1−2i2i0000i3i3−i3−i333−3−3ii−i−i00002i−2i00000000−i3−i3i3i3−3−333−i−iii0000000000000000
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χ5122-2-2-22-2222-2222-22-2-2-2-2-222-2−2i−2i2i2i2i2i−2i−2i2000000-2-2-222-22000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000002i−2i0000000000000000002i−2i000000-22000000
χ5222-2-2-22-2222-2222-22-2-2-2-2-222-2−2i−2i2i2i2i2i−2i−2i2000000-2-2-222-22000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000−2i2i000000000000000000−2i2i0000002-2000000
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χ602-22-22-2-222-1-22-21-11-221-11-1-222-22-22-22-2-1−2i2i00001-11-11-11i−ii−ii3−i3i3−i33−33−3-11-11-11-1100−2i2i00i−ii−ii3−i3i3−i33−33−30000000000−2i2i00i−ii−ii3−i3i3−i33−33−30000000000000000
χ612-22-22-2-222-1-22-21-11-221-11-1-22-22-22-22-22-12i−2i00001-11-11-11−ii−ii−i3i3−i3i33−33−31-11-11-11-1002i−2i00−ii−ii−i3i3−i3i33−33−30000000000−2i2i00i−ii−ii3−i3i3−i3−33−330000000000000000
χ622-22-22-2-222-1-22-21-11-221-11-1-22-22-22-22-22-12i−2i00001-11-11-11−ii−iii3−i3i3−i3−33−331-11-11-11-1002i−2i00−ii−iii3−i3i3−i3−33−330000000000−2i2i00i−ii−i−i3i3−i3i33−33−30000000000000000
χ632-22-22-2-222-1-22-21-11-221-11-1-22-22-22-22-22-1−2i2i00001-11-11-11i−ii−i−i3i3−i3i3−33−331-11-11-11-100−2i2i00i−ii−i−i3i3−i3i3−33−3300000000002i−2i00−ii−iii3−i3i3−i33−33−30000000000000000
χ642-22-22-2-222-1-22-21-11-221-11-1-22-22-22-22-22-1−2i2i00001-11-11-11i−ii−ii3−i3i3−i33−33−31-11-11-11-100−2i2i00i−ii−ii3−i3i3−i33−33−300000000002i−2i00−ii−ii−i3i3−i3i3−33−330000000000000000
χ652-22-2-222-2222-22-222-2-2-2-22-2-222i−2i2i−2i−2i2i−2i2i2000000-2-22-2-2220000000000002i−2i2i−2i−2i2i−2i2i0000000000000000002i−2i00000000000000000000000000002i−2i0000002-200
χ662-22-2-222-2222-22-222-2-2-2-22-2-222i−2i2i−2i−2i2i−2i2i2000000-2-22-2-2220000000000002i−2i2i−2i−2i2i−2i2i000000000000000000−2i2i0000000000000000000000000000−2i2i000000-2200
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χ752-2-2222-2-22-1-2-2211-122-1-111-2-22-2-222-2-22-100−2i2i00-1-11111-13−3−33i−i−ii−i3i3i3−i3-111-1-111-10000−2i2i3−3−33i−i−ii−i3i3i3−i3000000000000−2i2i3−3−33i−i−ii−i3i3i3−i30000000000000000
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χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000144-4-4-4-41111111-2-2-2-2222222220000000022-2-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ1114-44-4-444-4-24-22-2-44422-4-44-42-200000000-200000022-222-2-2000000000000000000000000000000000000004i−4i0000000000000000000000000000−2i2i0000000000
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χ1134-4-4444-4-4-2422-2-4-44-2-244-4-42200000000-2004i−4i00-2-22222-200004i−4i−4i4i0000000000000000−2i2i0000−2i2i2i−2i0000000000000000000000000000000000000000000000
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χ1154-4-4444-4-4-2-222-222-2-2-2-2-22222000000001004i−4i0011-1-1-1-1123−23−2323−2i2i2i−2i2i3−2i3−2i32i3000000000000−2i2i−333−3i−i−ii−i3i3i3−i3000000000000000000000000000000000000000000
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χ1204-4-44-4-4444-244-42224-4-22-2-2-4-4−4i4i4i−4i4i−4i−4i4i-2000000-22-2-22220000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000
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χ1224-4-44-4-444-24-2-22-4-4-4-224-4442200000000-2000000-22-2-22220000000000000000000000000000000000000000000000-440000000000000000002-2000000000000
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χ1258-88-8-888-8-4-4-44-44-4-44444-444-4000000002000000-2-22-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-8-888-4-4-4-44444-44-44-4-4440000000020000002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000

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