Finite Group Databasebeta

← Group #11887044

Character table — Group #11887044

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666344666881212121224242424224466668888266121212121212242424242424224488121212122424242466612122222466661212122424488644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111111111111111111111111-11-1-111-1-1111111111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-11-111-1-111-1-1-1-111111-1-111-1-1-1111-1-111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-11-1-111111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-111-1-11-1-111111-1-1-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-11111-11-111-1-1-1-1-1111-1-111-1
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
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-11-1-111-1-11111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-111
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
χ13111111111111111-1-1111-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-111-11-111-1-11-1-1-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-111111-1-1-1-1-1-1111-1-1-1-11-1-11111-1-1-111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1111111111-1-1-1-1-111-1-1-1-1111-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1111-11-1-111-111111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222222200000000000-2-200000000-2-200-2-222000000000220000000-20000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2222200000000000-2-2000000002-200-2-2-2-2000000000-2-2000000020000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-200000000000-2-200000000-22002222000000000-2-20000000-20000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-200000000220022-2-200000000022000000020000-200000
χ2122222-1222-1-12-12-122-1-1-122-12-122222002200000000222-1-122-1-1-1-1-1-1-1-100202200-1-10000-1-1-1-1-10022000-1-1-100-1-1000-100
χ2222222-1222-1-12-12-122-1-1-122-12-12222200-2-200000000222-1-122-1-1-1-1-1-1-1-100-20-2-200110000-1-1-1-1-100-2-20001110011000100
χ2322222-1222-1-12-12-122-1-1-1-2-2-12-12-2-2-2-2002200000000-2-2-2-1-122-1-11111110020-2-200-1-10000111-1-1002-2000-1-1-10011000100
χ2422222-1222-1-12-12-122-1-1-1-2-2-12-12-2-2-2-200-2-200000000-2-2-2-1-122-1-111111100-202200110000111-1-100-2200011100-1-1000-100
χ2522222-1222-1-12-12-1-2-2-1-1-122-12-122222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-100202200-1-100001111100-2-200011-100-1-1000100
χ2622222-1222-1-12-12-1-2-2-1-1-122-12-12222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-100-20-2-200110000111110022000-1-110011000-100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-12-12-2-2-2-200220000000022211-2-2-1-11111110020-2-200-1-10000-1-1-11100-2200011-10011000-100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-12-12-2-2-2-200-2-20000000022211-2-2-1-111111100-202200110000-1-1-111002-2000-1-1100-1-1000100
χ292222-1222-122-12-1-122-1-1-1222-12-1-1-1-1-12200-1-1-1-122222-1-122-1-1-1-122-1-1-1-1220200-1-100-1-1-1-12-1-1-1-100002-1-1000-1-100000000
χ302222-1222-122-12-1-122-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-2-22-1-122-1-1-1-122-1-1-1-1-2-20-200110011112-1-1-1-10000-2110001100000000
χ312222-1222-122-12-1-122-1-1-1-2-22-12-111112200-1-1-1-1-2-2-2-2-21122-1-1-1-1-2-21111-2-20200-1-1001111-211-1-10000211000-1-100000000
χ322222-1222-122-12-1-122-1-1-1-2-22-12-11111-2-20011112222-21122-1-1-1-1-2-21111220-2001100-1-1-1-1-211-1-10000-2-1-10001100000000
χ332222-1222-122-12-1-1-2-2-1-1-1222-12-1-1-1-1-12200-1-1-1-12222-211-2-211-1-122-1-1-1-1-2-20200-1-100-1-1-1-1-211110000-2110001100000000
χ342222-1222-122-12-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-2-2-211-2-211-1-122-1-1-1-1220-20011001111-2111100002-1-1000-1-100000000
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-12-111112200-1-1-1-1-2-2-2-22-1-1-2-211-1-1-2-21111220200-1-10011112-1-1110000-2-1-10001100000000
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-12-11111-2-200111122222-1-1-2-211-1-1-2-21111-2-20-2001100-1-1-1-12-1-1110000211000-1-100000000
χ372-22-222-22-22-22-2-222i−2i-22-20022-2-20000000000002i2i−2i−2i0002i−2i2i−2i2-20000002-2000000002i2i−2i−2i0002i−2i000002-20000000000000
χ382-22-222-22-22-22-2-222i−2i-22-20022-2-2000000000000−2i−2i2i2i0002i−2i2i−2i2-2000000-2200000000−2i−2i2i2i0002i−2i00000-220000000000000
χ392-22-222-22-22-22-2-22−2i2i-22-20022-2-20000000000002i2i−2i−2i000−2i2i−2i2i2-2000000-22000000002i2i−2i−2i000−2i2i00000-220000000000000
χ402-22-222-22-22-22-2-22−2i2i-22-20022-2-2000000000000−2i−2i2i2i000−2i2i−2i2i2-20000002-200000000−2i−2i2i2i000−2i2i000002-20000000000000
χ412-22-2-12-2212-2-1-21-12i−2i1-11002-1-2133−3−30000−i3−i3i3i32i2i−2i−2i0−i3i32i−2i−ii-110033−3−32-20000−i3i300−i−iii0−i3i3−ii00000-110003−300000000
χ422-22-2-12-2212-2-1-21-12i−2i1-11002-1-2133−3−30000i3i3−i3−i3−2i−2i2i2i0−i3i32i−2i−ii-110033−3−3-220000i3−i300ii−i−i0−i3i3−ii000001-1000−3300000000
χ432-22-2-12-2212-2-1-21-12i−2i1-11002-1-21−3−3330000−i3−i3i3i3−2i−2i2i2i0i3−i32i−2i−ii-1100−3−333-220000−i3i300ii−i−i0i3−i3−ii000001-10003−300000000
χ442-22-2-12-2212-2-1-21-12i−2i1-11002-1-21−3−3330000i3i3−i3−i32i2i−2i−2i0i3−i32i−2i−ii-1100−3−3332-20000i3−i300−i−iii0i3−i3−ii00000-11000−3300000000
χ452-22-2-12-2212-2-1-21-1−2i2i1-11002-1-2133−3−30000−i3−i3i3i32i2i−2i−2i0i3−i3−2i2ii−i-110033−3−3-220000−i3i300−i−iii0i3−i3i−i000001-1000−3300000000
χ462-22-2-12-2212-2-1-21-1−2i2i1-11002-1-2133−3−30000i3i3−i3−i3−2i−2i2i2i0i3−i3−2i2ii−i-110033−3−32-20000i3−i300ii−i−i0i3−i3i−i00000-110003−300000000
χ472-22-2-12-2212-2-1-21-1−2i2i1-11002-1-21−3−3330000−i3−i3i3i3−2i−2i2i2i0−i3i3−2i2ii−i-1100−3−3332-20000−i3i300ii−i−i0−i3i3i−i00000-11000−3300000000
χ482-22-2-12-2212-2-1-21-1−2i2i1-11002-1-21−3−3330000i3i3−i3−i32i2i−2i−2i0−i3i3−2i2ii−i-1100−3−333-220000i3−i300−i−iii0−i3i3i−i000001-10003−300000000
χ492-2-222200-2-2-2-222200-2-222−200002−22−22-22-22-22-22−22−20000000002−22−22−200002−2002-22−22−2000002-200000000002−202−2000
χ502-2-222200-2-2-2-222200-2-222−200002−22−22-2-222-22-22−22−20000000002−22−22−20000−2200-222−22−200000-220000000000−220−22000
χ512-2-222200-2-2-2-222200-2-222−200002−22−2-222-2-22-22−22−220000000002−22−22−200002−2002-2−22−2200000-2200000000002−20−22000
χ522-2-222200-2-2-2-222200-2-222−200002−22−2-22-22-22-22−22−220000000002−22−22−20000−2200-22−22−22000002-20000000000−2202−2000
χ532-2-222200-2-2-2-222200-2-22−220000−22−222-22-22-22-2−22−22000000000−22−22−220000−22002-2−22−22000002-20000000000−220−22000
χ542-2-222200-2-2-2-222200-2-22−220000−22−222-2-222-22-2−22−22000000000−22−22−2200002−200-22−22−2200000-2200000000002−202−2000
χ552-2-222200-2-2-2-222200-2-22−220000−22−22-222-2-22-222−22−2000000000−22−22−220000−22002-22−22−200000-220000000000−2202−2000
χ562-2-222200-2-2-2-222200-2-22−220000−22−22-22-22-22-222−22−2000000000−22−22−2200002−200-222−22−2000002-200000000002−20−22000
χ5744444-2-4-44-2-24-24-200-2-2-2002-42-4000000440000000000000002200000000-400000-2-200000000000000000020000000000
χ5844444-2-4-44-2-24-24-200-2-2-2002-42-4000000-4-4000000000000000220000000040000022000000000000000000-20000000000
χ594444-24-4-4-244-24-2-200-2-2-200-42-4200004400-2-2-2-20000000000022000000000-400220000000000000000000000000000000
χ604444-24-4-4-244-24-2-200-2-2-200-42-420000-4-40022220000000000022000000000400-2-20000000000000000000000000000000
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
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-422-2-2-2-21122-1-1-1-1000000000000002-1-11100000000000000000000
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
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000000004-2-222221122-1-1-1-100000000000000-211-1-100000000000000000000
χ6544-4-444004-44-4-4-44004-4-4000000000000000000−2i22i22i2−2i20000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ6644-4-444004-44-4-4-44004-4-40000000000000000002i2−2i2−2i22i200000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ6744-4-4-2400-2-442-42-200-2220000006−6−660000−2i32i32i3−2i32i2−2i2−2i22i2000000000006−6−660000000000−i2i2i2−i20000000000000000000000000
χ6844-4-4-2400-2-442-42-200-2220000006−6−6600002i3−2i3−2i32i3−2i22i22i2−2i2000000000006−6−660000000000i2−i2−i2i20000000000000000000000000
χ6944-4-4-2400-2-442-42-200-222000000−666−60000−2i32i32i3−2i3−2i22i22i2−2i200000000000−666−60000000000i2−i2−i2i20000000000000000000000000
χ7044-4-4-2400-2-442-42-200-222000000−666−600002i3−2i3−2i32i32i2−2i2−2i22i200000000000−666−60000000000−i2i2i2−i20000000000000000000000000
χ714-44-4444-4-44-44-4-4400-44-400-4-44400000000000000000000000-44000000000000000000000000000000000000000000000
χ724-44-44-24-4-4-2242-4-2002-22002-4-24000000000000000000000002-200000000000000000000000000000000−2i32i300000000000
χ734-44-44-24-4-4-2242-4-2002-22002-4-24000000000000000000000002-2000000000000000000000000000000002i3−2i300000000000
χ744-44-44-2-44-4-2242-4-24i−4i2-2200-242-40000000000000000000−2i2i4i−4i-2200000000000000000000000−2i2i00000000000000000000
χ754-44-44-2-44-4-2242-4-2−4i4i2-2200-242-400000000000000000002i−2i−4i4i-22000000000000000000000002i−2i00000000000000000000
χ764-44-4-244-424-4-2-42-2002-2200-424-200000000−2i3−2i32i32i3000000000002-20000000000002i3−2i30000000000000000000000000000000
χ774-44-4-244-424-4-2-42-2002-2200-424-2000000002i32i3−2i3−2i3000000000002-2000000000000−2i32i30000000000000000000000000000000
χ784-44-4-2-2-442-22-22214i−4i-11-100-2-2222323−23−230000000000000−2i32i3−2i2i−2i2i1-100−3−333000000000000000i3−i3i−i00000000000000000000
χ794-44-4-2-2-442-22-22214i−4i-11-100-2-222−23−23232300000000000002i3−2i3−2i2i−2i2i1-10033−3−3000000000000000−i3i3i−i00000000000000000000
χ804-44-4-2-2-442-22-2221−4i4i-11-100-2-2222323−23−2300000000000002i3−2i32i−2i2i−2i1-100−3−333000000000000000−i3i3−ii00000000000000000000
χ814-44-4-2-2-442-22-2221−4i4i-11-100-2-222−23−2323230000000000000−2i32i32i−2i2i−2i1-10033−3−3000000000000000i3−i3−ii00000000000000000000
χ824-4-444-200-422-4-24-20022-222−22000022−2222−22004-400000000000000000−22−22−22000022−2200-22000000000000000000000−22000000
χ834-4-444-200-422-4-24-20022-222−22000022−2222−2200-4400000000000000000−22−22−220000−2222002-20000000000000000000002−2000000
χ844-4-444-200-422-4-24-20022-2−22220000−2222−2222004-4000000000000000002−22−22−20000−222200-220000000000000000000002−2000000
χ854-4-444-200-422-4-24-20022-2−22220000−2222−222200-44000000000000000002−22−22−2000022−22002-2000000000000000000000−22000000
χ864-4-44-24002-4-424-2-20022-222−220000−22−224-400-22-2222−2222−2200000000022−22−22−220000000000−22−220000000000000000000000000
χ874-4-44-24002-4-424-2-20022-222−220000−22−22-44002-22-2−2222−222200000000022−22−22−2200000000002−22−20000000000000000000000000
χ884-4-44-24002-4-424-2-20022-2−222200002−22−24-400-22-22−2222−2222000000000−22222−22−200000000002−22−20000000000000000000000000
χ894-4-44-24002-4-424-2-20022-2−222200002−22−2-44002-22-222−2222−22000000000−22222−22−20000000000−22−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-88-40084-4-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-44442002-2-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ9388-8-8-4-400-44-44442002-2-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000
χ948-88-8-4-48-84-44-444200-22-20044-4-400000000000000000000000-22000000000000000000000000000000000000000000000
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).