Finite Group Databasebeta

← Group #11887068

Character table — Group #11887068

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666663446668812121212242424242244888812121212412121212121212122424242424242244668812122424242412121212122222466661212122424488624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111111-1-11-11-1-1-1-111111-1-1-11-1-1
χ3111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-111-11111-1-1111-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1111-1-1-1-11111-111-1-1-1-1-1-11-1-111111-1-1-111-11-1
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-111-1-1-1-111-111-1-1-1-1-111-11111-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-111-1-1111-1-1-1-111-1-1-1111-1-11-11
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1-1-111
χ11111111111111111-1-11111111111111-1-11111111111-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-11-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-111-111-1-11-1-1-1-1-1111-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-111-11111-111-1-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-11111-1-1-111111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-200000000-2-22200-2-2000000000220000000-20000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-20000-2-2-2-20000000-2-2000000002-2220022000000000-2-20000000-20000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222000022220000000-2-200000000-22-2-200-2-2000000000-2-2000000020000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-20000000022-2-2002200000000022000000020000-200000
χ2122222-1222-1-12-12-122-1-1-122-12-12-1-1-1-100222222-1-1-1-12-1-1-1-122-1-122-1-1-1-122200000-1-1-1-1-1-12-1-1-1-100020-1-1-1-100000000000
χ2222222-1222-1-12-12-122-1-1-122-12-12-1-1-1-100-2-2-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-2-2000001111112-1-1-1-1000-20111100000000000
χ2322222-1222-1-12-12-122-1-1-1-2-2-12-1211110022-2-2-2-2-1-1-1-1-2-1-11122-1-1-2-21111-2-2200000-1-11111-2-1-11100020-1-11100000000000
χ2422222-1222-1-12-12-122-1-1-1-2-2-12-12111100-2-222221111-2-1-11122-1-1-2-2111122-20000011-1-1-1-1-2-1-111000-2011-1-100000000000
χ2522222-1222-1-12-12-1-2-2-1-1-122-12-12-1-1-1-100222222-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-2200000-1-1-1-1-1-1-21111000-20111100000000000
χ2622222-1222-1-12-12-1-2-2-1-1-122-12-12-1-1-1-100-2-2-2-2-2-21111-21111-2-2-1-122-1-1-1-122-200000111111-2111100020-1-1-1-100000000000
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-12-1211110022-2-2-2-2-1-1-1-1211-1-1-2-2-1-1-2-2111122200000-1-11111211-1-1000-2011-1-100000000000
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-12-12111100-2-222221111211-1-1-2-2-1-1-2-21111-2-2-20000011-1-1-1-1211-1-100020-1-11100000000000
χ292222-1222-122-12-1-122-1-1-1222-12-1222222000000000022222-1-1-1-1-1-1-1-1-1-10002-1-122000000-1-1-1-1-1002020000-1-1-1-1-1000-100
χ302222-1222-122-12-1-122-1-1-1222-12-12222-2-2000000000022222-1-1-1-1-1-1-1-1-1-1000-211-2-2000000-1-1-1-1-100-20-2000011111000100
χ312222-1222-122-12-1-122-1-1-1-2-22-12-1-2-2-2-2220000000000-222-2-2-1-1-1-11111110002-1-1-2-20000001-1-11100-2020000-1-1-111000100
χ322222-1222-122-12-1-122-1-1-1-2-22-12-1-2-2-2-2-2-20000000000-222-2-2-1-1-1-1111111000-211220000001-1-1110020-20000111-1-1000-100
χ332222-1222-122-12-1-1-2-2-1-1-1222-12-12222220000000000-2-2-2-2-211-1-1-1-1-1-1-1-10002-1-1220000001111100-20-20000-111-1-1000100
χ342222-1222-122-12-1-1-2-2-1-1-1222-12-12222-2-20000000000-2-2-2-2-211-1-1-1-1-1-1-1-1000-211-2-2000000111110020200001-1-111000-100
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-12-1-2-2-2-22200000000002-2-22211-1-11111110002-1-1-2-2000000-111-1-10020-20000-11111000-100
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-12-1-2-2-2-2-2-200000000002-2-22211-1-1111111000-21122000000-111-1-100-20200001-1-1-1-1000100
χ372-22-2222-2-22-22-2-222i−2i-22-20022-2-2000000002i2i−2i−2i000002i−2i002i−2i-220000002-2000000002i2i−2i−2i02i−2i0000000002-200000000000
χ382-22-2222-2-22-22-2-222i−2i-22-20022-2-200000000−2i−2i2i2i000002i−2i002i−2i-22000000-2200000000−2i−2i2i2i02i−2i000000000-2200000000000
χ392-22-2222-2-22-22-2-22−2i2i-22-20022-2-2000000002i2i−2i−2i00000−2i2i00−2i2i-22000000-22000000002i2i−2i−2i0−2i2i000000000-2200000000000
χ402-22-2222-2-22-22-2-22−2i2i-22-20022-2-200000000−2i−2i2i2i00000−2i2i00−2i2i-220000002-200000000−2i−2i2i2i0−2i2i0000000002-200000000000
χ412-22-22-12-2-2-1121-2-12i−2i1-1100-121-2−i3−i3i3i300002i2i−2i−2i33−3−30−ii3−32i−2i1-100−i3−i3i3i32-20000003−3−i−iii0−ii3−300000−i3i3-1100000000000
χ422-22-22-12-2-2-1121-2-12i−2i1-1100-121-2−i3−i3i3i30000−2i−2i2i2i−3−3330−ii3−32i−2i1-100−i3−i3i3i3-22000000−33ii−i−i0−ii3−300000i3−i31-100000000000
χ432-22-22-12-2-2-1121-2-12i−2i1-1100-121-2i3i3−i3−i300002i2i−2i−2i−3−3330−ii−332i−2i1-100i3i3−i3−i32-2000000−33−i−iii0−ii−3300000i3−i3-1100000000000
χ442-22-22-12-2-2-1121-2-12i−2i1-1100-121-2i3i3−i3−i30000−2i−2i2i2i33−3−30−ii−332i−2i1-100i3i3−i3−i3-220000003−3ii−i−i0−ii−3300000−i3i31-100000000000
χ452-22-22-12-2-2-1121-2-1−2i2i1-1100-121-2−i3−i3i3i300002i2i−2i−2i33−3−30i−i−33−2i2i1-100−i3−i3i3i3-220000003−3−i−iii0i−i−3300000i3−i31-100000000000
χ462-22-22-12-2-2-1121-2-1−2i2i1-1100-121-2−i3−i3i3i30000−2i−2i2i2i−3−3330i−i−33−2i2i1-100−i3−i3i3i32-2000000−33ii−i−i0i−i−3300000−i3i3-1100000000000
χ472-22-22-12-2-2-1121-2-1−2i2i1-1100-121-2i3i3−i3−i300002i2i−2i−2i−3−3330i−i3−3−2i2i1-100i3i3−i3−i3-22000000−33−i−iii0i−i3−300000−i3i31-100000000000
χ482-22-22-12-2-2-1121-2-1−2i2i1-1100-121-2i3i3−i3−i30000−2i−2i2i2i33−3−30i−i3−3−2i2i1-100i3i3−i3−i32-20000003−3ii−i−i0i−i3−300000i3−i3-1100000000000
χ492-2-222200-2-2-2-222200-2-222−200002−22−22-22-22−22−22-22-20000000002−22−22−200002-22−2002−22−2000002-200000000002−202−2000
χ502-2-222200-2-2-2-222200-2-222−200002−22−22-2-22−22−22-22-220000000002−22−22−200002-22−200−22−2200000-2200000000002−20−22000
χ512-2-222200-2-2-2-222200-2-222−200002−22−2-222-22−22−22-22-20000000002−22−22−20000-22−22002−22−200000-220000000000−220−22000
χ522-2-222200-2-2-2-222200-2-222−200002−22−2-22-22−22−22-22-220000000002−22−22−20000-22−2200−22−22000002-20000000000−2202−2000
χ532-2-222200-2-2-2-222200-2-22−220000−22−222-22-2−22−222-22-2000000000−22−22−2200002-2−2200−22−22000002-20000000000−220−22000
χ542-2-222200-2-2-2-222200-2-22−220000−22−222-2-222−22−2-22-22000000000−22−22−2200002-2−22002−22−200000-220000000000−2202−2000
χ552-2-222200-2-2-2-222200-2-22−220000−22−22-222-2−22−222-22-2000000000−22−22−220000-222−200−22−2200000-2200000000002−202−2000
χ562-2-222200-2-2-2-222200-2-22−220000−22−22-22-222−22−2-22-22000000000−22−22−220000-222−2002−22−2000002-200000000002−20−22000
χ5744444-2-4-44-2-24-24-200-2-2-2002-42-4000000440000-2-2-2-200000002200000000-4000002200000000000000000000000000000
χ5844444-2-4-44-2-24-24-200-2-2-2002-42-4000000-4-40000222200000002200000000400000-2-200000000000000000000000000000
χ594444-24-4-4-244-24-2-200-2-2-200-42-420000440000000000000000022000000000-4-2-2000000000000000000000020000000000
χ604444-24-4-4-244-24-2-200-2-2-200-42-420000-4-400000000000000000220000000004220000000000000000000000-20000000000
χ614444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-4-2-222-2-21122-1-1-1-100000000000000211-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000000000422-2-2221122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-444004-44-4-4-44004-4-400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ6644-4-444004-44-4-4-44004-4-4000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ6744-4-44-20042-2-42-4-200-222000000i6−i6−i6i60000−2i22i22i2−2i223−23−232300000000000i6−i6−i6i60000000000i2−i2−i2i20000000000000000000000000
χ6844-4-44-20042-2-42-4-200-222000000i6−i6−i6i600002i2−2i2−2i22i2−232323−2300000000000i6−i6−i6i60000000000−i2i2i2−i20000000000000000000000000
χ6944-4-44-20042-2-42-4-200-222000000−i6i6i6−i60000−2i22i22i2−2i2−232323−2300000000000−i6i6i6−i60000000000i2−i2−i2i20000000000000000000000000
χ7044-4-44-20042-2-42-4-200-222000000−i6i6i6−i600002i2−2i2−2i22i223−23−232300000000000−i6i6i6−i60000000000−i2i2i2−i20000000000000000000000000
χ714-44-444-44-44-44-4-4400-44-400-4-444000000000000000000000004-4000000000000000000000000000000000000000000000
χ724-44-44-2-44-4-2242-4-2002-22002-4-240000000000002323−23−230000000-2200000000000000−232300000000000000000000000000000
χ734-44-44-2-44-4-2242-4-2002-22002-4-24000000000000−23−2323230000000-220000000000000023−2300000000000000000000000000000
χ744-44-4-244-424-4-2-42-24i−4i2-22004-2-42000000000000000004i−4i00−2i2i2-2000000000000000000000−2i2i0000000000000000000000
χ754-44-4-244-424-4-2-42-2−4i4i2-22004-2-4200000000000000000−4i4i002i−2i2-20000000000000000000002i−2i0000000000000000000000
χ764-44-4-24-4424-4-2-42-2002-2200-424-200000000000000000000000-220000000000000000000000000000000000023−2300000000
χ774-44-4-24-4424-4-2-42-2002-2200-424-200000000000000000000000-2200000000000000000000000000000000000−232300000000
χ784-44-4-2-24-42-22-22214i−4i-11-100-2-222−2i3−2i32i32i30000000000000−2i2i23−23−2i2i-1100i3i3−i3−i3000000000000000i−i−3300000000000000000000
χ794-44-4-2-24-42-22-22214i−4i-11-100-2-2222i32i3−2i3−2i30000000000000−2i2i−2323−2i2i-1100−i3−i3i3i3000000000000000i−i3−300000000000000000000
χ804-44-4-2-24-42-22-2221−4i4i-11-100-2-222−2i3−2i32i32i300000000000002i−2i−23232i−2i-1100i3i3−i3−i3000000000000000−ii3−300000000000000000000
χ814-44-4-2-24-42-22-2221−4i4i-11-100-2-2222i32i3−2i3−2i300000000000002i−2i23−232i−2i-1100−i3−i3i3i3000000000000000−ii−3300000000000000000000
χ824-4-444-200-422-4-24-20022-222−220000−22−22004-422−2222−22-22-2200000000022−22−22−220000000000−22−220000000000000000000000000
χ834-4-444-200-422-4-24-20022-222−220000−22−2200-44−2222−22222-22-200000000022−22−22−2200000000002−22−20000000000000000000000000
χ844-4-444-200-422-4-24-20022-2−222200002−22−2004-4−2222−2222-22-22000000000−22222−22−200000000002−22−20000000000000000000000000
χ854-4-444-200-422-4-24-20022-2−222200002−22−200-4422−2222−222-22-2000000000−22222−22−20000000000−22−220000000000000000000000000
χ864-4-44-24002-4-424-2-20022-222−22000022−2222−224-40000000000000000000−22−22−220000-2222−2200000000000000000000000−22000000
χ874-4-44-24002-4-424-2-20022-222−22000022−2222−22-440000000000000000000−22−22−2200002-2−2222000000000000000000000002−2000000
χ884-4-44-24002-4-424-2-20022-2−22220000−2222−22224-400000000000000000002−22−22−20000-22−2222000000000000000000000002−2000000
χ894-4-44-24002-4-424-2-20022-2−22220000−2222−2222-4400000000000000000002−22−22−200002-222−2200000000000000000000000−22000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4800-4-884-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-44442002-2-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ9388-8-8-4-400-44-44442002-2-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ948-88-8-4-4-884-44-444200-22-20044-4-4000000000000000000000002-2000000000000000000000000000000000000000000000
χ958-8-88-4-4004444-4-4200-2-2242−420000−2222−2222000000000000000000000−22222−22−2000000000000000000000000000000000000000
χ968-8-88-4-4004444-4-4200-2-22−4242000022−2222−2200000000000000000000022−22−22−22000000000000000000000000000000000000000

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