Finite Group Databasebeta

← Group #11865552

Character table — Group #11865552

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222444444446688888888888121212121212121212121212122424242424363636361111222222222244444444668888888888812121212121212121212121212242424242436363636
order122233446666663666121212124441212121212121212121244488121212122424242426612122288222266446666666666121212124441212121212121212121244488121212122424242426612122288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111
χ51111111111111111111111-1-111111111111-11111-1-1-1-11111-1-1-111-1-1-1-11111111111111111111111-1-111111111111-11111-1-1-1-11111-1-1-111-1-1-1-1
χ61111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1
χ9222222-2-22222222222-2-2-2-22200000-2-20000-2000022-2-20000000000000222222-2-22222222222-2-2-2-22200000-2-20000-2000022-2-20000000000000
χ10222222-2-22222222222-2-2-2-2-2-200000-2-2000020000-2-2220000000000000222222-2-22222222222-2-2-2-2-2-200000-2-2000020000-2-2220000000000000
χ1122222-12222-1-1-12-1-1-1-12-1-1222222-1-1-1-1-1-1-1-120000-1-1-1-100002-1-100000022222-12222-1-1-12-1-1-1-12-1-1222222-1-1-1-1-1-1-1-120000-1-1-1-100002-1-1000000
χ1222222-12222-1-1-12-1-1-1-12-1-1222-2-2-211-1-1111120000-1-1-1-10000-21100000022222-12222-1-1-12-1-1-1-12-1-1222-2-2-211-1-1111120000-1-1-1-10000-211000000
χ1322222-12222-1-1-12-1-1-1-12-1-12-2-2222-1-1-1-1-1-1-1-1-2000011110000-21100000022222-12222-1-1-12-1-1-1-12-1-12-2-2222-1-1-1-1-1-1-1-1-2000011110000-211000000
χ1422222-12222-1-1-12-1-1-1-12-1-12-2-2-2-2-211-1-11111-20000111100002-1-100000022222-12222-1-1-12-1-1-1-12-1-12-2-2-2-2-211-1-11111-20000111100002-1-1000000
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χ1622222-1-2-222-1-1-12-1-1-1-1-211-222000i3−i311i3i3−i3−i3-20000-1-11100000i3−i300000022222-1-2-222-1-1-12-1-1-1-1-211-222000i3−i311i3i3−i3−i3-20000-1-11100000i3−i3000000
χ1722222-1-2-222-1-1-12-1-1-1-1-211-2-2-2000−i3i311−i3−i3i3i32000011-1-100000i3−i300000022222-1-2-222-1-1-12-1-1-1-1-211-2-2-2000−i3i311−i3−i3i3i32000011-1-100000i3−i3000000
χ1822222-1-2-222-1-1-12-1-1-1-1-211-2-2-2000i3−i311i3i3−i3−i32000011-1-100000−i3i300000022222-1-2-222-1-1-12-1-1-1-1-211-2-2-2000i3−i311i3i3−i3−i32000011-1-100000−i3i3000000
χ192222-1222-1-1222-1-1-1-1-1-122-1002-1-122-1-1-1-1-1-1022220000-1-1-1-1000-1-100002222-1222-1-1222-1-1-1-1-1-122-1002-1-122-1-1-1-1-1-1022220000-1-1-1-1000-1-10000
χ202222-1222-1-1222-1-1-1-1-1-122-1002-1-122-1-1-1-1-1-10-2-2-2-2000011110001100002222-1222-1-1222-1-1-1-1-1-122-1002-1-122-1-1-1-1-1-10-2-2-2-200001111000110000
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χ222222-1222-1-1222-1-1-1-1-1-122-100-211-2-2-1-111110-2-2220000-1-1-1-10001100002222-1222-1-1222-1-1-1-1-1-122-100-211-2-2-1-111110-2-2220000-1-1-1-1000110000
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χ272-22-2222-2-22-22-2-22-2-2222-2-200000002-2000002i−2i00000000000002i−2i00002-22-2222-2-22-22-2-22-2-2222-2-200000002-2000002i−2i00000000000002i−2i0000
χ282-22-2222-2-22-22-2-22-2-2222-2-200000002-200000−2i2i0000000000000−2i2i00002-22-2222-2-22-22-2-22-2-2222-2-200000002-200000−2i2i0000000000000−2i2i0000
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χ354444-24-4-4-2-2444-2-2-2-2-22-4-42000000022000000000000000000000000004444-24-4-4-2-2444-2-2-2-2-22-4-4200000002200000000000000000000000000
χ364444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-211111100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000
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χ4144-4-44-2004-4-222-4-2-2220000−4i4i00000000000000002i−2i00000000000000044-4-44-2004-4-222-4-2-2220000−4i4i00000000000000002i−2i000000000000000
χ4244-4-4-2400-224-4-42-2-2220000000000000000000022−220000−2−22200000000044-4-4-2400-224-4-42-2-2220000000000000000000022−220000−2−222000000000
χ4344-4-4-2400-224-4-42-2-22200000000000000000000−2222000022−2−200000000044-4-4-2400-224-4-42-2-22200000000000000000000−2222000022−2−2000000000
χ444-44-44-24-4-442-22-4-222-24-22-40000000-22000000000000000000000000004-44-44-24-4-442-22-4-222-24-22-40000000-2200000000000000000000000000
χ454-44-44-2-44-442-22-4-222-2-42-2400000002-2000000000000000000000000004-44-44-2-44-442-22-4-222-2-42-2400000002-200000000000000000000000000
χ464-44-4-24-442-2-44-42-222-22-44-200000002-2000000000000000000000000004-44-4-24-442-2-44-42-222-22-44-200000002-200000000000000000000000000
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χ484-44-4-2-24-42-22-2221-1-11-2-2220002i3−2i3001-1−i3i3−i3i300000000000000000000004-44-4-2-24-42-22-2221-1-11-2-2220002i3−2i3001-1−i3i3−i3i30000000000000000000000
χ494-44-4-2-2-442-22-2221-1-1122-2-20000000-113-3-3300000000000000000000004-44-4-2-2-442-22-2221-1-1122-2-20000000-113-3-330000000000000000000000
χ504-44-4-2-2-442-22-2221-1-1122-2-20000000-11-333-300000000000000000000004-44-4-2-2-442-22-2221-1-1122-2-20000000-11-333-30000000000000000000000
χ514-4-444400-4-4-4-4444-44-40000000000000000000000000000000000000004-4-444400-4-4-4-4444-44-4000000000000000000000000000000000000000
χ524-4-444-200-4-422-24-22-2200000000000000000000000023−2300000000000004-4-444-200-4-422-24-22-2200000000000000000000000023−230000000000000
χ534-4-444-200-4-422-24-22-22000000000000000000000000−232300000000000004-4-444-200-4-422-24-22-22000000000000000000000000−23230000000000000
χ544-4-44-240022-4-44-2-22-22000000000000000000000000006−6−660000000004-4-44-240022-4-44-2-22-22000000000000000000000000006−6−66000000000
χ554-4-44-240022-4-44-2-22-2200000000000000000000000000−666−60000000004-4-44-240022-4-44-2-22-2200000000000000000000000000−666−6000000000
χ5688-8-8-4-400-44-444422-2-200000000000000000000000000000000000000088-8-8-4-400-44-444422-2-2000000000000000000000000000000000000000
χ578-8-88-4-4004444-4-42-22-20000000000000000000000000000000000000008-8-88-4-4004444-4-42-22-2000000000000000000000000000000000000000
χ58111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ59111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111111
χ60111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1-1-1-11111111-1-1-1-111
χ61111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-1-1-1-1-1-1-1-1-11111111-1-1
χ621111111111111111111111-1-111111111111-11111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-11111
χ631111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ641111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-11111111111-1-1-1-1-111-1-1
χ651111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-11111-1-1-1-1-1-1-111-1-111
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χ67222222-2-22222222222-2-2-2-2-2-200000-2-2000020000-2-2220000000000000-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-222222200000220000-2000022-2-20000000000000
χ6822222-12222-1-1-12-1-1-1-12-1-1222222-1-1-1-1-1-1-1-120000-1-1-1-100002-1-1000000-2-2-2-2-21-2-2-2-2111-21111-211-2-2-2-2-2-211111111-2000011110000-211000000
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χ782222-1222-1-1222-1-1-1-1-1-122-100-211-2-2-1-11111022-2-200001111000-1-10000-2-2-2-21-2-2-211-2-2-2111111-2-21002-1-12211-1-1-1-10-2-2220000-1-1-1-1000110000
χ792222-1222-1-1222-1-1-1-1-1-122-100-211-2-2-1-111110-2-2220000-1-1-1-1000110000-2-2-2-21-2-2-211-2-2-2111111-2-21002-1-12211-1-1-1-1022-2-200001111000-1-10000
χ8022-2-222002-22-2-2-222-2-200002i−2i000000000000002−22i−2i0022−2−20000000−i2i2-2-222-2-200-22-2222-2-2220000−2i2i00000000000000−22−2i2i00−2−2220000000i2−i2
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χ842-22-2222-2-22-22-2-22-2-2222-2-200000002-2000002i−2i00000000000002i−2i0000-22-22-2-2-222-22-222-222-2-2-2220000000-2200000−2i2i0000000000000−2i2i0000
χ852-22-2222-2-22-22-2-22-2-2222-2-200000002-200000−2i2i0000000000000−2i2i0000-22-22-2-2-222-22-222-222-2-2-2220000000-22000002i−2i00000000000002i−2i0000
χ862-22-222-22-22-22-2-22-2-22-2-2220000000-2200000000000000000000002-200-22-22-2-22-22-22-222-222-222-2-200000002-20000000000000000000000-2200
χ872-22-222-22-22-22-2-22-2-22-2-2220000000-220000000000000000000000-2200-22-22-2-22-22-22-222-222-222-2-200000002-200000000000000000000002-200
χ882-22-2-122-21-1-22-21-111-1-12-21000−i3i300-11−i3i3−i3i302i−2i0000003−33−3000−ii0000-22-221-2-22-112-22-11-1-111-22-1000i3−i3001-1i3−i3i3−i30−2i2i000000−33−33000i−i0000
χ892-22-2-122-21-1-22-21-111-1-12-21000−i3i300-11−i3i3−i3i30−2i2i000000−33−33000i−i0000-22-221-2-22-112-22-11-1-111-22-1000i3−i3001-1i3−i3i3−i302i−2i0000003−33−3000−ii0000
χ902-22-2-122-21-1-22-21-111-1-12-21000i3−i300-11i3−i3i3−i302i−2i000000−33−33000−ii0000-22-221-2-22-112-22-11-1-111-22-1000−i3i3001-1−i3i3−i3i30−2i2i0000003−33−3000i−i0000
χ912-22-2-122-21-1-22-21-111-1-12-21000i3−i300-11i3−i3i3−i30−2i2i0000003−33−3000i−i0000-22-221-2-22-112-22-11-1-111-22-1000−i3i3001-1−i3i3−i3i302i−2i000000−33−33000−ii0000
χ924444-24-4-4-2-2444-2-2-2-2-22-4-4200000002200000000000000000000000000-4-4-4-42-44422-4-4-422222-244-20000000-2-200000000000000000000000000
χ934444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000-4-4-4-422-4-4222222-1-1-1-1222200-42222-1-1-1-1-1-10000000000000000000000
χ944444-2-244-2-2-2-2-2-21111-2-2-2-200-4222211-1-1-1-10000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222004-2-2-2-2-1-111110000000000000000000000
χ954444-2-2-4-4-2-2-2-2-2-21111222200000−2i32i3-1-1i3i3−i3−i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000002i3−2i311−i3−i3i3i30000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-211112222000002i3−2i3-1-1−i3−i3i3i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-200000−2i32i311i3i3−i3−i30000000000000000000000
χ9744-4-44-2004-4-222-4-2-22200004i−4i0000000000000000−2i2i000000000000000-4-444-4200-442-2-2422-2-20000−4i4i00000000000000002i−2i000000000000000
χ9844-4-44-2004-4-222-4-2-2220000−4i4i00000000000000002i−2i000000000000000-4-444-4200-442-2-2422-2-200004i−4i0000000000000000−2i2i000000000000000
χ9944-4-4-2400-224-4-42-2-2220000000000000000000022−220000−2−222000000000-4-4442-4002-2-444-222-2-200000000000000000000−2222000022−2−2000000000
χ10044-4-4-2400-224-4-42-2-22200000000000000000000−2222000022−2−2000000000-4-4442-4002-2-444-222-2-20000000000000000000022−220000−2−222000000000
χ1014-44-44-24-4-442-22-4-222-24-22-40000000-2200000000000000000000000000-44-44-42-444-4-22-242-2-22-42-2400000002-200000000000000000000000000
χ1024-44-44-2-44-442-22-4-222-2-42-2400000002-200000000000000000000000000-44-44-424-44-4-22-242-2-224-22-40000000-2200000000000000000000000000
χ1034-44-4-24-442-2-44-42-222-22-44-200000002-200000000000000000000000000-44-442-44-4-224-44-22-2-22-24-420000000-2200000000000000000000000000
χ1044-44-4-2-24-42-22-2221-1-11-2-222000−2i32i3001-1i3−i3i3−i30000000000000000000000-44-4422-44-22-22-2-2-111-122-2-20002i3−2i300-11−i3i3−i3i30000000000000000000000
χ1054-44-4-2-24-42-22-2221-1-11-2-2220002i3−2i3001-1−i3i3−i3i30000000000000000000000-44-4422-44-22-22-2-2-111-122-2-2000−2i32i300-11i3−i3i3−i30000000000000000000000
χ1064-44-4-2-2-442-22-2221-1-1122-2-20000000-113-3-330000000000000000000000-44-44224-4-22-22-2-2-111-1-2-22200000001-1-333-30000000000000000000000
χ1074-44-4-2-2-442-22-2221-1-1122-2-20000000-11-333-30000000000000000000000-44-44224-4-22-22-2-2-111-1-2-22200000001-13-3-330000000000000000000000
χ1084-4-444400-4-4-4-4444-44-4000000000000000000000000000000000000000-444-4-4-4004444-4-4-44-44000000000000000000000000000000000000000
χ1094-4-444-200-4-422-24-22-2200000000000000000000000023−230000000000000-444-4-420044-2-22-42-22-2000000000000000000000000−23230000000000000
χ1104-4-444-200-4-422-24-22-22000000000000000000000000−23230000000000000-444-4-420044-2-22-42-22-200000000000000000000000023−230000000000000
χ1114-4-44-240022-4-44-2-22-22000000000000000000000000006−6−66000000000-444-42-400-2-244-422-22-200000000000000000000000000−666−6000000000
χ1124-4-44-240022-4-44-2-22-2200000000000000000000000000−666−6000000000-444-42-400-2-244-422-22-2000000000000000000000000006−6−66000000000
χ11388-8-8-4-400-44-444422-2-2000000000000000000000000000000000000000-8-88844004-44-4-4-4-2-222000000000000000000000000000000000000000
χ1148-8-88-4-4004444-4-42-22-2000000000000000000000000000000000000000-888-84400-4-4-4-444-22-22000000000000000000000000000000000000000

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