Finite Group Databasebeta

← Group #11887056

Character table — Group #11887056

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order1222334444666666121212123444666121212121212121212121212888826666666612121212121212121212121212228888882424242424242424222222466121224242424446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1
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
χ61111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111
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
χ9111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-11111-1-1-1-111-1-11-1-111-1-111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-11-111-1-1-1-111-11-11-11
χ11111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-11111-1-1111-11-1-11111-1-1-111-1-11
χ12111111-1-111111111-1-1-1-11-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-1-111-1-111-1-1111-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-11-1-11-11
χ14111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-111-1-111-111-11-1
χ15111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-11-111-1-111-1-1-11-111-1
χ16111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11-1-111-1-1-1-1111-11-1-11
χ1722222222-2-222222222222-200222-2-2-2222222-2-2-20000000000000-20000-2-2-2-200000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-200222-2-2-2222222-2-2-20000000000000-20000-2-2-2-200000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22200222-222-2-2-2-2-2-2-2-2-2000000000000020000-2-2220000000000000000000022-2-200000000000-220000
χ20222222-2-2-2-2222222-2-2-2-22200222-222-2-2-2-2-2-2-2-2-2000000000000020000-2-22200000000000000000000-2-222000000000002-20000
χ2122222-1222222-1-1-122222-1222-1-1-1-122-1-1-1-1-1-122-10000222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022220000000000002200000-1-1-1-100-1-100
χ2222222-1222222-1-1-122222-1222-1-1-1-122-1-1-1-1-1-122-10000222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2000001111001100
χ2322222-1222222-1-1-122222-12-2-2-1-1-1-122-1-1-1-1-1-122-10000-2-2-2111111-111-2-2-1-1-1-1111100002222000000000000-2-200000-1-1-1-1001100
χ2422222-1222222-1-1-122222-12-2-2-1-1-1-122-1-1-1-1-1-122-10000-2-2-2111111-111-2-2-1-1-1-111110000-2-2-2-20000000000002200000111100-1-100
χ2522222-1-2-22222-1-1-12-2-2-2-2-1-222-1-1-1-1-2-211111122-10000-2-2-21111111-1-122-1-111-1-1-1-1000022-2-20000000000002-200000-1-11100-1100
χ2622222-1-2-22222-1-1-12-2-2-2-2-1-222-1-1-1-1-2-211111122-10000-2-2-21111111-1-122-1-111-1-1-1-10000-2-222000000000000-220000011-1-1001-100
χ2722222-1-2-22222-1-1-12-2-2-2-2-1-2-2-2-1-1-1-1-2-211111122-10000222-1-1-1-1-1-1111-2-2-1-1111111000022-2-2000000000000-2200000-1-111001-100
χ2822222-1-2-22222-1-1-12-2-2-2-2-1-2-2-2-1-1-1-1-2-211111122-10000222-1-1-1-1-1-1111-2-2-1-11111110000-2-2220000000000002-20000011-1-100-1100
χ292222-122222-1-1222-1-1-1-1-1-1222-1-1-12-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000002-1-1-1-10000000000
χ302222-122222-1-1222-1-1-1-1-1-1222-1-1-12-1-122-1-1-1-1-1-12-2-2-2-22-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000-211110000000000
χ312222-122222-1-1222-1-1-1-1-1-12-2-2-1-1-12-1-122-1-1-1-1-1-122222-211-2-211112-2-211-1-1-1-11111-2-2220000-1-1-1-1-1-1-1-1000000-211110000000000
χ322222-122222-1-1222-1-1-1-1-1-12-2-2-1-1-12-1-122-1-1-1-1-1-12-2-2-2-2-211-2-211112-2-211-1-1-1-1111122-2-20000111111110000002-1-1-1-10000000000
χ332222-12-2-222-1-1222-11111-1-222-1-1-1211-2-21111-1-122222-211-2-21111-222-1-1-1-111-1-1-1-122-2-20000-1-1-1-11111000000-2-1-1110000000000
χ342222-12-2-222-1-1222-11111-1-222-1-1-1211-2-21111-1-12-2-2-2-2-211-2-21111-222-1-1-1-111-1-1-1-1-2-22200001111-1-1-1-1000000211-1-10000000000
χ352222-12-2-222-1-1222-11111-1-2-2-2-1-1-1211-2-21111-1-1222222-1-122-1-1-1-1-2-2-211-1-1111111-2-2-2-20000-1-1-1-11111000000211-1-10000000000
χ362222-12-2-222-1-1222-11111-1-2-2-2-1-1-1211-2-21111-1-12-2-2-2-22-1-122-1-1-1-1-2-2-211-1-1111111222200001111-1-1-1-1000000-2-1-1110000000000
χ372-22-222002-22-22-2-2-20000202i−2i2-2-22000000002-2-22i2i−2i−2i00000000002i−2i2i−2i2-2002i2i−2i−2i2-20000002i2i−2i−2i000000000002-2000000000000
χ382-22-222002-22-22-2-2-20000202i−2i2-2-22000000002-2-2−2i−2i2i2i00000000002i−2i2i−2i2-2002i2i−2i−2i-22000000−2i−2i2i2i00000000000-22000000000000
χ392-22-222002-22-22-2-2-2000020−2i2i2-2-22000000002-2-22i2i−2i−2i0000000000−2i2i−2i2i2-200−2i−2i2i2i-220000002i2i−2i−2i00000000000-22000000000000
χ402-22-222002-22-22-2-2-2000020−2i2i2-2-22000000002-2-2−2i−2i2i2i0000000000−2i2i−2i2i2-200−2i−2i2i2i2-2000000−2i−2i2i2i000000000002-2000000000000
χ412-22-2-12002-2-112-2-2133−3−3-102i−2i-11123−30033−3−3-11-22i2i−2i−2i0−i3i300−i3−i3i3i302i−2i−ii-113−3−i−iii2-2000000−i−iii−i3−i3i3i30000000-113−30000000000
χ422-22-2-12002-2-112-2-2133−3−3-102i−2i-11123−30033−3−3-11-2−2i−2i2i2i0−i3i300−i3−i3i3i302i−2i−ii-113−3−i−iii-22000000ii−i−ii3i3−i3−i300000001-1−330000000000
χ432-22-2-12002-2-112-2-2133−3−3-10−2i2i-11123−30033−3−3-11-22i2i−2i−2i0i3−i300i3i3−i3−i30−2i2ii−i-113−3ii−i−i-22000000−i−iii−i3−i3i3i300000001-1−330000000000
χ442-22-2-12002-2-112-2-2133−3−3-10−2i2i-11123−30033−3−3-11-2−2i−2i2i2i0i3−i300i3i3−i3−i30−2i2ii−i-113−3ii−i−i2-2000000ii−i−ii3i3−i3−i30000000-113−30000000000
χ452-22-2-12002-2-112-2-21−3−333-102i−2i-1112−3300−3−333-11-22i2i−2i−2i0i3−i300i3i3−i3−i302i−2i−ii-11−33−i−iii2-2000000−i−iiii3i3−i3−i30000000-11−330000000000
χ462-22-2-12002-2-112-2-21−3−333-102i−2i-1112−3300−3−333-11-2−2i−2i2i2i0i3−i300i3i3−i3−i302i−2i−ii-11−33−i−iii-22000000ii−i−i−i3−i3i3i300000001-13−30000000000
χ472-22-2-12002-2-112-2-21−3−333-10−2i2i-1112−3300−3−333-11-22i2i−2i−2i0−i3i300−i3−i3i3i30−2i2ii−i-11−33ii−i−i-22000000−i−iiii3i3−i3−i300000001-13−30000000000
χ482-22-2-12002-2-112-2-21−3−333-10−2i2i-1112−3300−3−333-11-2−2i−2i2i2i0−i3i300−i3−i3i3i30−2i2ii−i-11−33ii−i−i2-2000000ii−i−i−i3−i3i3i30000000-11−330000000000
χ492-2-22222-200-2-2-2-2222-22-22000-2-220002-22-22-20002−22−20000000000000000000000002−22−22−22−22−22−22−22-22-200000002−22−2000000
χ502-2-22222-200-2-2-2-2222-22-22000-2-220002-22-22-20002−22−20000000000000000000000002−2−22−222−22−22−22−2-22-220000000−22−22000000
χ512-2-22222-200-2-2-2-2222-22-22000-2-220002-22-22-2000−22−22000000000000000000000000−222−22−2−22−22−22−22-22-2200000002−22−2000000
χ522-2-22222-200-2-2-2-2222-22-22000-2-220002-22-22-2000−22−22000000000000000000000000−22−22−22−22−22−22−222-22-20000000−22−22000000
χ532-2-2222-2200-2-2-2-222-22-222000-2-22000-22-22-220002−22−2000000000000000000000000−222−2−222−22−2−22−222-2-2200000002−2−22000000
χ542-2-2222-2200-2-2-2-222-22-222000-2-22000-22-22-220002−22−2000000000000000000000000−22−222−22−22−2−22−22-222-20000000−222−2000000
χ552-2-2222-2200-2-2-2-222-22-222000-2-22000-22-22-22000−22−220000000000000000000000002−22−2−22−22−222−22−2-222-200000002−2−22000000
χ562-2-2222-2200-2-2-2-222-22-222000-2-22000-22-22-22000−22−220000000000000000000000002−2−222−2−22−222−22−22-2-220000000−222−2000000
χ5744444-244-4-444-2-2-244444-2-400-2-2-22-4-4-2-2-2-2-2-2-4-42000000000000020000222200000000000000000000000000000000000000000
χ5844444-2-4-4-4-444-2-2-24-4-4-4-4-2400-2-2-2244222222-4-420000000000000-2000022-2-200000000000000000000000000000000000000000
χ594444-2444-4-4-2-2444-2-2-2-2-2-2-400-2-2-2-42244-2-2-2-222-40000000000000-40000222200000000000000000000000000000000000000000
χ604444-24-4-4-4-4-2-2444-22222-2400-2-2-2-4-2-2-4-4222222-400000000000004000022-2-200000000000000000000000000000000000000000
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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χ654444-2-2-4-444-2-2-2-2-2-222221-444111-22222-1-1-1-1-2-2-20000-42222-1-1-1-12-2-2-2-211-1-111110000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-4111-22222-1-1-1-1-2-2-200004-2-2-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-2222214001112-2-222-1-1-1-12220000000003-33-3-20000-1-111-33-330000000000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-2222214001112-2-222-1-1-1-1222000000000-33-33-20000-1-1113-33-30000000000000000000000000000000000000
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χ7244-4-4-2400002-2-44-4223−23−2323-20002-220000023−23−23230002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2−i6i6i6−i6000000000000000000000
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χ844-44-4-2-2004-4-22-2222−23−232323104i−4i1-1-1-2−23230033−3−3-222000002i3−2i300−i3−i3i3i30−2i2i−2i2i1-13−3ii−i−i0000000000000000000000000000000000000
χ854-44-4-2-2004-4-22-2222−23−23232310−4i4i1-1-1-2−23230033−3−3-22200000−2i32i300i3i3−i3−i302i−2i2i−2i1-13−3−i−iii0000000000000000000000000000000000000
χ864-44-4-2-200-44-22-22222323−23−2310001-1-12−232300−3−3332-2-20000000−2i32i3i3−i3−i3i300000-113−3−3i3i3i−3i0000000000000000000000000000000000000
χ874-44-4-2-200-44-22-22222323−23−2310001-1-12−232300−3−3332-2-200000002i3−2i3−i3i3i3−i300000-113−33i−3i−3i3i0000000000000000000000000000000000000
χ884-44-4-2-200-44-22-2222−23−23232310001-1-1223−230033−3−32-2-20000000−2i32i3i3−i3−i3i300000-11−333i−3i−3i3i0000000000000000000000000000000000000
χ894-44-4-2-200-44-22-2222−23−23232310001-1-1223−230033−3−32-2-200000002i3−2i3−i3i3i3−i300000-11−33−3i3i3i−3i0000000000000000000000000000000000000
χ904-4-444-24-400-4-422-244-44-4-200022-2000-22-22-2200000000000000000000000000000000022−2222−220000000000000000000−22−22000000
χ914-4-444-24-400-4-422-244-44-4-200022-2000-22-22-22000000000000000000000000000000000−2222−222200000000000000000002−22−2000000
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χ1018-8-88-4-48-8004444-4-4-44-442000-2-22000-442-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-88004444-4-44-44-42000-2-220004-4-22-22000000000000000000000000000000000000000000000000000000000000000000

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