Finite Group Databasebeta

← Group #11895423

Character table — Group #11895423

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12223344446666661212121234446661212121212121212121212128888266666666121212121212121212121212124488888824242424242424244444444121212122424242444121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-111-1-1111111-1-111-1-11111-1-1-1-111-1-1-11-111-1-111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-1-1-111-11-11-11
χ11111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-11111-1-1-1-1-1-11111-1-11111-1-1-11111-1-1-111-1-11
χ12111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-111-1-111-1-1-1-1111111-1-11-11-1-111-1-1111-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-11-1-11111-1-11-1-11-11
χ14111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1-111-111-11-1
χ15111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1111-1-111-1-1-11-111-1
χ16111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-11-111-1-1-1-1111-11-1-11
χ1722222222-2-22222222222200-2222-222-2-22222-2-2-200000000000000000-2-2-2-2-200000000000000000000222200000000000-2-20000
χ1822222222-2-22222222222200-2222-222-2-22222-2-2-200000000000000000-2-2-2-2-200000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22002222-2-2-222-2-2-2-2-2-2-2000000000000000002-2-2220000000000000000000022-2-200000000000-220000
χ20222222-2-2-2-2222222-2-2-2-22002222-2-2-222-2-2-2-2-2-2-2000000000000000002-2-22200000000000000000000-2-222000000000002-20000
χ2122222-1222222-1-1-12-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ2222222-1222222-1-1-12-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2222-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2-2-20000111111110000-20011110000000000
χ2322222-1222222-1-1-12-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-1-122222-2-2-2111111-2-2112-1-1-1-11111-2-2220000-1-1-1-1-1-1-1-10000-20011110000000000
χ2422222-1222222-1-1-12-1-1-1-1-1-2-22-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2-2-2-2111111-2-2112-1-1-1-1111122-2-20000111111110000200-1-1-1-10000000000
χ2522222-1-2-22222-1-1-121111-122-2-1-1-12-2-2111111-1-122222-2-2-211111122-1-1-2-1-111-1-1-1-122-2-20000-1-1-1-111110000-200-1-1110000000000
χ2622222-1-2-22222-1-1-121111-122-2-1-1-12-2-2111111-1-12-2-2-2-2-2-2-211111122-1-1-2-1-111-1-1-1-1-2-22200001111-1-1-1-1000020011-1-10000000000
χ2722222-1-2-22222-1-1-121111-1-2-2-2-1-1-12-2-2111111-1-122222222-1-1-1-1-1-1-2-211-2-1-1111111-2-2-2-20000-1-1-1-11111000020011-1-10000000000
χ2822222-1-2-22222-1-1-121111-1-2-2-2-1-1-12-2-2111111-1-12-2-2-2-2222-1-1-1-1-1-1-2-211-2-1-1111111222200001111-1-1-1-10000-200-1-1110000000000
χ292222-122222-1-1222-12222-1222-1-1-1-1-1-122-1-1-1-122-100002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1000022220000000000000220000-1-1-1-100-1-100
χ302222-122222-1-1222-12222-1222-1-1-1-1-1-122-1-1-1-122-100002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000-2-200001111001100
χ312222-122222-1-1222-12222-1-2-22-1-1-1-1-1-122-1-1-1-122-10000-211-2-2111111-2-2-1-1-1-1-11111000022220000000000000-2-20000-1-1-1-1001100
χ322222-122222-1-1222-12222-1-2-22-1-1-1-1-1-122-1-1-1-122-10000-211-2-2111111-2-2-1-1-1-1-111110000-2-2-2-20000000000000220000111100-1-100
χ332222-12-2-222-1-1222-1-2-2-2-2-122-2-1-1-1-111-2-2111122-10000-211-2-21111-1-1221-1-111-1-1-1-1000022-2-200000000000002-20000-1-11100-1100
χ342222-12-2-222-1-1222-1-2-2-2-2-122-2-1-1-1-111-2-2111122-10000-211-2-21111-1-1221-1-111-1-1-1-10000-2-2220000000000000-22000011-1-1001-100
χ352222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-1-111-2-2111122-100002-1-122-1-1-1-111-2-21-1-1111111000022-2-20000000000000-220000-1-111001-100
χ362222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-1-111-2-2111122-100002-1-122-1-1-1-111-2-21-1-11111110000-2-22200000000000002-2000011-1-100-1100
χ3722-2-22200-222-2-22-2-2000022i−2i02-2-2-2000000002-222i2i−2i−2i0000000002i−2i2i−2i02-2002i2i−2i−2i2-20000002i2i−2i−2i000000000002-2000000000000
χ3822-2-22200-222-2-22-2-2000022i−2i02-2-2-2000000002-22−2i−2i2i2i0000000002i−2i2i−2i02-2002i2i−2i−2i-22000000−2i−2i2i2i00000000000-22000000000000
χ3922-2-22200-222-2-22-2-200002−2i2i02-2-2-2000000002-222i2i−2i−2i000000000−2i2i−2i2i02-200−2i−2i2i2i-220000002i2i−2i−2i00000000000-22000000000000
χ4022-2-22200-222-2-22-2-200002−2i2i02-2-2-2000000002-22−2i−2i2i2i000000000−2i2i−2i2i02-200−2i−2i2i2i2-2000000−2i−2i2i2i000000000002-2000000000000
χ4122-2-22-100-222-21-11-233−3−3-12i−2i0-111-2003−333−3−3-1122i2i−2i−2i000−i3i3−i3−i3i3i32i−2i−ii0-113−3−i−iii2-2000000−i−iii−i3−i3i3i30000000-113−30000000000
χ4222-2-22-100-222-21-11-233−3−3-12i−2i0-111-2003−333−3−3-112−2i−2i2i2i000−i3i3−i3−i3i3i32i−2i−ii0-113−3−i−iii-22000000ii−i−ii3i3−i3−i300000001-1−330000000000
χ4322-2-22-100-222-21-11-233−3−3-1−2i2i0-111-2003−333−3−3-1122i2i−2i−2i000i3−i3i3i3−i3−i3−2i2ii−i0-113−3ii−i−i-22000000−i−iii−i3−i3i3i300000001-1−330000000000
χ4422-2-22-100-222-21-11-233−3−3-1−2i2i0-111-2003−333−3−3-112−2i−2i2i2i000i3−i3i3i3−i3−i3−2i2ii−i0-113−3ii−i−i2-2000000ii−i−ii3i3−i3−i30000000-113−30000000000
χ4522-2-22-100-222-21-11-2−3−333-12i−2i0-111-200−33−3−333-1122i2i−2i−2i000i3−i3i3i3−i3−i32i−2i−ii0-11−33−i−iii2-2000000−i−iiii3i3−i3−i30000000-11−330000000000
χ4622-2-22-100-222-21-11-2−3−333-12i−2i0-111-200−33−3−333-112−2i−2i2i2i000i3−i3i3i3−i3−i32i−2i−ii0-11−33−i−iii-22000000ii−i−i−i3−i3i3i300000001-13−30000000000
χ4722-2-22-100-222-21-11-2−3−333-1−2i2i0-111-200−33−3−333-1122i2i−2i−2i000−i3i3−i3−i3i3i3−2i2ii−i0-11−33ii−i−i-22000000−i−iiii3i3−i3−i300000001-13−30000000000
χ4822-2-22-100-222-21-11-2−3−333-1−2i2i0-111-200−33−3−333-112−2i−2i2i2i000−i3i3−i3−i3i3i3−2i2ii−i0-11−33ii−i−i2-2000000ii−i−i−i3−i3i3i30000000-11−330000000000
χ492-22-2222-200-222-2-2-22-22-22000-2-2202-2002-22-2000−i2i2−i2i2000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-20000000−i2i2−i2i2000000
χ502-22-2222-200-222-2-2-22-22-22000-2-2202-2002-22-2000−i2i2−i2i2000000000000000000000000−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-22-220000000i2−i2i2−i2000000
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χ522-22-2222-200-222-2-2-22-22-22000-2-2202-2002-22-2000i2−i2i2−i2000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-20000000i2−i2i2−i2000000
χ532-22-222-2200-222-2-2-2-22-222000-2-220-2200-22-22000−i2i2−i2i2000000000000000000000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i22-2-220000000−i2i2i2−i2000000
χ542-22-222-2200-222-2-2-2-22-222000-2-220-2200-22-22000−i2i2−i2i2000000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2-222-20000000i2−i2−i2i2000000
χ552-22-222-2200-222-2-2-2-22-222000-2-220-2200-22-22000i2−i2i2−i2000000000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2-222-20000000−i2i2i2−i2000000
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χ5744444-244-4-444-2-2-24-2-2-2-2-200-4-2-2-2-44422-2-2-2-222-400000000000000000-4222200000000000000000000000000000000000000000
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χ624444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-21111-2-2-20000-42222-1-1-1-12222-21111-1-1-1-10000000000000000000000000000000000000
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χ654444-2-2-4-444-2-2-2-2-2-22222144-4111-22222-1-1-1-1-2-2-20000-42222-1-1-1-1-2-2-2-2211-1-111110000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-4111-22222-1-1-1-1-2-2-200004-2-2-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000000
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χ8044-4-4-2-200-44-222-2222323−23−2314i−4i01-1-120023−23−3−333-22-20000000−2i32i3i3i3−i3−i3−2i2i−2i2i01-1−33ii−i−i0000000000000000000000000000000000000
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χ8344-4-4-2-200-44-222-222−23−2323231−4i4i01-1-1200−232333−3−3-22-20000000−2i32i3i3i3−i3−i32i−2i2i−2i01-13−3−i−iii0000000000000000000000000000000000000
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χ854-44-44-24-400-44-222-4-22-22-200022-204-400-22-220002i2−2i22i2−2i20000000000000000000000002i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000
χ864-44-44-2-4400-44-222-42-22-2-200022-20-44002-22-2000−2i22i2−2i22i20000000000000000000000002i2−2i20000i2−i2i2−i2−i2i2−i2i2000000000000000000000
χ874-44-44-2-4400-44-222-42-22-2-200022-20-44002-22-20002i2−2i22i2−2i2000000000000000000000000−2i22i20000−i2i2−i2i2i2−i2i2−i2000000000000000000000
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χ934-4-44440000-4-4-4-44400004000-44-4000000000000−222222−22000000000000000000000000000000−222222−220000000000000000000000000
χ944-4-444-20000-4-422-2423−23−2323-20002-220000023−23−232300022−22−2222000000000000000000000000000000−222−2−666−6000000000000000000000
χ954-4-444-20000-4-422-2423−23−2323-20002-220000023−23−2323000−222222−220000000000000000000000000000002−2−226−6−66000000000000000000000
χ964-4-444-20000-4-422-24−232323−23-20002-2200000−232323−2300022−22−2222000000000000000000000000000000−222−26−6−66000000000000000000000
χ974-4-444-20000-4-422-24−232323−23-20002-2200000−232323−23000−222222−220000000000000000000000000000002−2−22−666−6000000000000000000000
χ988-88-8-4-48-8004-4-4444-44-442000-2-220-44002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-88004-4-44444-44-42000-2-2204-400-22-22000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48000044-8-88-40000-40004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400004444-4-443−43−43432000-22-200000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400004444-4-4−434343−432000-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000000000000

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