Finite Group Databasebeta

← Group #11898375

Character table — Group #11898375

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order122233444466666612121212344466612121212121212121212121288882666666661212121212121212121212121244888888242424242424242444442446612122424242444121244
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
χ51111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-11111-1-1-1-111-1-1-11-1-1-11111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-111-1-111-11-11-11
χ11111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-11111-1-11111-111-1-111-1-1-111-1-11
χ12111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-11-1111-1-1-1-1111-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-1111-1-111-1-11-1-11-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-1-1-111-111-11-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-1-11111-1-1-11-111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-11-1-1-111-1-1111-11-1-11
χ1722222222-2-222222222222-200222-2-222-22222-2-2-20000000000000-20000-2-2-2-200000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-200222-2-222-22222-2-2-20000000000000-20000-2-2-2-200000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-2-2-2-2-2-2-2000000000000020000-2-2220000000000000000000022-2-200000000000-220000
χ20222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-2-2-2-2-2-2-2000000000000020000-2-22200000000000000000000-2-222000000000002-20000
χ2122222-122222-1-12-12-1-1-1-1-1222-1-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ2222222-122222-1-12-12-1-1-1-1-1222-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000-20011110000000000
χ2322222-122222-1-12-12-1-1-1-1-12-2-2-1-1-1-1-1222-1-1-1-1-1-122222-2-2-21111112-2-211-1-1-1-11111-2-2220000-1-1-1-1-1-1-1-10000-20011110000000000
χ2422222-122222-1-12-12-1-1-1-1-12-2-2-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2-2-2-21111112-2-211-1-1-1-1111122-2-20000111111110000200-1-1-1-10000000000
χ2522222-1-2-2222-1-12-121111-1-222-1-1-111-2-221111-1-122222-2-2-2111111-222-1-1-1-111-1-1-1-122-2-20000-1-1-1-111110000-20011-1-10000000000
χ2622222-1-2-2222-1-12-121111-1-222-1-1-111-2-221111-1-12-2-2-2-2-2-2-2111111-222-1-1-1-111-1-1-1-1-2-22200001111-1-1-1-10000200-1-1110000000000
χ2722222-1-2-2222-1-12-121111-1-2-2-2-1-1-111-2-221111-1-122222222-1-1-1-1-1-1-2-2-211-1-1111111-2-2-2-20000-1-1-1-111110000200-1-1110000000000
χ2822222-1-2-2222-1-12-121111-1-2-2-2-1-1-111-2-221111-1-12-2-2-2-2222-1-1-1-1-1-1-2-2-211-1-1111111222200001111-1-1-1-10000-20011-1-10000000000
χ292222-122222-122-12-12222-1222-1-1-122-1-1-1-1-1-1-122-100002-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022220000000000000220000-1-1-1-100-1-100
χ302222-122222-122-12-12222-1222-1-1-122-1-1-1-1-1-1-122-100002-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000000000-2-200001111001100
χ312222-122222-122-12-12222-12-2-2-1-1-122-1-1-1-1-1-1-122-10000-211-2-21111-111-2-2-1-1-1-11111000022220000000000000-2-20000-1-1-1-1001100
χ322222-122222-122-12-12222-12-2-2-1-1-122-1-1-1-1-1-1-122-10000-211-2-21111-111-2-2-1-1-1-111110000-2-2-2-20000000000000220000111100-1-100
χ332222-12-2-222-122-12-1-2-2-2-2-1-222-1-1-1-2-211-1111122-10000-211-2-211111-1-122-1-111-1-1-1-1000022-2-200000000000002-20000-1-11100-1100
χ342222-12-2-222-122-12-1-2-2-2-2-1-222-1-1-1-2-211-1111122-10000-211-2-211111-1-122-1-111-1-1-1-10000-2-2220000000000000-22000011-1-1001-100
χ352222-12-2-222-122-12-1-2-2-2-2-1-2-2-2-1-1-1-2-211-1111122-100002-1-122-1-1-1-1111-2-2-1-1111111000022-2-20000000000000-220000-1-111001-100
χ362222-12-2-222-122-12-1-2-2-2-2-1-2-2-2-1-1-1-2-211-1111122-100002-1-122-1-1-1-1111-2-2-1-11111110000-2-22200000000000002-2000011-1-100-1100
χ372-22-2222-200-2-2-222-222-2-22000-2-22002-2022-2-200022−2−20000000000000000000000002−2−i2i2−i2i222−2−222−2−22i−2i2i−2i0000000−i2i2−i2i2000000
χ382-22-2222-200-2-2-222-222-2-22000-2-22002-2022-2-200022−2−20000000000000000000000002−2i2−i2i2−i222−2−222−2−2−2i2i−2i2i0000000i2−i2i2−i2000000
χ392-22-2222-200-2-2-222-222-2-22000-2-22002-2022-2-2000−2−222000000000000000000000000−22−i2i2−i2i2−2−222−2−222−2i2i−2i2i0000000−i2i2−i2i2000000
χ402-22-2222-200-2-2-222-222-2-22000-2-22002-2022-2-2000−2−222000000000000000000000000−22i2−i2i2−i2−2−222−2−2222i−2i2i−2i0000000i2−i2i2−i2000000
χ412-22-222-2200-2-2-222-2-2-2222000-2-2200-220-2-22200022−2−2000000000000000000000000−22−i2i2i2−i222−2−2−2−2222i−2i−2i2i0000000−i2i2i2−i2000000
χ422-22-222-2200-2-2-222-2-2-2222000-2-2200-220-2-22200022−2−2000000000000000000000000−22i2−i2−i2i222−2−2−2−222−2i2i2i−2i0000000i2−i2−i2i2000000
χ432-22-222-2200-2-2-222-2-2-2222000-2-2200-220-2-222000−2−2220000000000000000000000002−2−i2i2i2−i2−2−22222−2−2−2i2i2i−2i0000000−i2i2i2−i2000000
χ442-22-222-2200-2-2-222-2-2-2222000-2-2200-220-2-222000−2−2220000000000000000000000002−2i2−i2−i2i2−2−22222−2−22i−2i−2i2i0000000i2−i2−i2i2000000
χ452-2-2222002-2-22-2-2-220000202i−2i2-2-20000200002-2-22-22-200000000002i−2i2i−2i2-2002i2i−2i−2i2i−2i0000002-22-200000000000002i−2i0000000000
χ462-2-2222002-2-22-2-2-220000202i−2i2-2-20000200002-2-2-22-2200000000002i−2i2i−2i2-2002i2i−2i−2i−2i2i000000-22-220000000000000−2i2i0000000000
χ472-2-2222002-2-22-2-2-22000020−2i2i2-2-20000200002-2-22-22-20000000000−2i2i−2i2i2-200−2i−2i2i2i−2i2i0000002-22-20000000000000−2i2i0000000000
χ482-2-2222002-2-22-2-2-22000020−2i2i2-2-20000200002-2-2-22-220000000000−2i2i−2i2i2-200−2i−2i2i2i2i−2i000000-22-2200000000000002i−2i0000000000
χ492-2-222-1002-2-2-11-2123−33−3-102i−2i-1113−30023−33−3-11-22-22-2000−i3i3−i3−i3i3i302i−2i−ii-113−3−i−iii2i−2i000000-11-113−33−30000000−i3i3−ii0000000000
χ502-2-222-1002-2-2-11-2123−33−3-102i−2i-1113−30023−33−3-11-2-22-22000−i3i3−i3−i3i3i302i−2i−ii-113−3−i−iii−2i2i0000001-11-1−33−330000000i3−i3i−i0000000000
χ512-2-222-1002-2-2-11-2123−33−3-10−2i2i-1113−30023−33−3-11-22-22-2000i3−i3i3i3−i3−i30−2i2ii−i-113−3ii−i−i−2i2i000000-11-113−33−30000000i3−i3i−i0000000000
χ522-2-222-1002-2-2-11-2123−33−3-10−2i2i-1113−30023−33−3-11-2-22-22000i3−i3i3i3−i3−i30−2i2ii−i-113−3ii−i−i2i−2i0000001-11-1−33−330000000−i3i3−ii0000000000
χ532-2-222-1002-2-2-11-212−33−33-102i−2i-111−33002−33−33-11-22-22-2000i3−i3i3i3−i3−i302i−2i−ii-11−33−i−iii2i−2i000000-11-11−33−330000000i3−i3−ii0000000000
χ542-2-222-1002-2-2-11-212−33−33-102i−2i-111−33002−33−33-11-2-22-22000i3−i3i3i3−i3−i302i−2i−ii-11−33−i−iii−2i2i0000001-11-13−33−30000000−i3i3i−i0000000000
χ552-2-222-1002-2-2-11-212−33−33-10−2i2i-111−33002−33−33-11-22-22-2000−i3i3−i3−i3i3i30−2i2ii−i-11−33ii−i−i−2i2i000000-11-11−33−330000000−i3i3i−i0000000000
χ562-2-222-1002-2-2-11-212−33−33-10−2i2i-111−33002−33−33-11-2-22-22000−i3i3−i3−i3i3i30−2i2ii−i-11−33ii−i−i2i−2i0000001-11-13−33−30000000i3−i3−ii0000000000
χ5744444-244-4-44-2-24-24-2-2-2-2-2-400-2-2-22244-4-2-2-2-222-40000000000000-40000222200000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-2-24-242222-2400-2-2-2-2-2-4-4-4222222-400000000000004000022-2-200000000000000000000000000000000000000000
χ594444-2444-4-4-244-24-24444-2-400-2-2-2-4-4-2-22-2-2-2-2-4-42000000000000020000222200000000000000000000000000000000000000000
χ604444-24-4-4-4-4-244-24-2-4-4-4-4-2400-2-2-2442222222-4-420000000000000-2000022-2-200000000000000000000000000000000000000000
χ614444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-200004-2-2-2-21111-2-2-2-2-2111111110000000000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-2-2-2-214-4-4111-2-2-2-2-21111-2-2-20000-42222-1-1-1-1-222221111-1-1-1-10000000000000000000000000000000000000
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χ644444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-40011122-2-221111222000000000-33-3320000-1-1-1-1-33-330000000000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-222221-4441112222-2-1-1-1-1-2-2-20000-42222-1-1-1-12-2-2-2-211-1-111110000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-41112222-2-1-1-1-1-2-2-200004-2-2-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-222221400111-2-2222-1-1-1-12220000000003-33-3-20000-1-111-33-330000000000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-222221400111-2-2222-1-1-1-1222000000000-33-33-20000-1-1113-33-30000000000000000000000000000000000000
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χ7144-4-44-2000042-2-42-423−23−2323-20002-220000023−23−232300022−22−2222000000000000000000000000000000−222−26−6−66000000000000000000000
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χ924-4-44-2-2004-42-2222-2−2323−2323104i−4i1-1-1−232300-23−33−3-22200000002i3−2i3−i3−i3i3i30−2i2i−2i2i1-13−3ii−i−i0000000000000000000000000000000000000
χ934-4-44-2-2004-42-2222-2−2323−232310−4i4i1-1-1−232300-23−33−3-2220000000−2i32i3i3i3−i3−i302i−2i2i−2i1-13−3−i−iii0000000000000000000000000000000000000
χ944-4-44-2-200-442-2222-223−2323−2310001-1-1−2323002−33−332-2-200000−2i32i300i3−i3−i3i300000-113−3−3i3i3i−3i0000000000000000000000000000000000000
χ954-4-44-2-200-442-2222-223−2323−2310001-1-1−2323002−33−332-2-2000002i3−2i300−i3i3i3−i300000-113−33i−3i−3i3i0000000000000000000000000000000000000
χ964-4-44-2-200-442-2222-2−2323−232310001-1-123−230023−33−32-2-200000−2i32i300i3−i3−i3i300000-11−333i−3i−3i3i0000000000000000000000000000000000000
χ974-4-44-2-200-442-2222-2−2323−232310001-1-123−230023−33−32-2-2000002i3−2i300−i3i3i3−i300000-11−33−3i3i3i−3i0000000000000000000000000000000000000
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χ1018-88-8-4-48-800444-4-44-4-4442000-2-2200-44022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-8800444-4-4444-4-42000-2-22004-40-2-222000000000000000000000000000000000000000000000000000000000000000000

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