Finite Group Databasebeta

← Group #11887832

Character table — Group #11887832

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666663446668812121212242424244444888812121212412121212121212122424242424242444881212121224242424121212121222444612121212121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111-1111-1-111-1-1111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-111-1-111-1-1-1-111111-1-11-11111-1-1-1-111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-11111-111111-1-1-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-111-11111-1
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-1-1-11-111-1-1-1-1111111-111-1-1-1-11-1-1111-1-111-1-1-111-11-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-11-1-1-1-1-111111-1-11-11
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-111111111-11-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1-111-1-1-1-111-1-11-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1-1-11-1-111-1-11-1-1-111-1-11111-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-11111111-1-111-1-1-1111-1-111-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111111-1-11111-1-1111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-2-20000-2-22200000000022000-200000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2000022220000000-2-20000002-20000-2-2-2-2000000000-2-2000200000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-2220000-2-2-2-20000000-2-2000000-2200002222000000000-2-2000-200000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-200000022000022-2-200000000022000200000000-200000
χ2122222-1222-1-12-12-122-1-1-122-12-1222220022000000002-1-12222-1-1-1-1-1-1-1-120002200-1-10000-1-1-1-1-100202-1-1-10000-1-1000-100
χ2222222-1222-1-12-12-122-1-1-122-12-12222200-2-2000000002-1-12222-1-1-1-1-1-1-1-1-2000-2-200110000-1-1-1-1-100-20-2111000011000100
χ2322222-1222-1-12-12-122-1-1-1-2-2-12-12-2-2-2-2002200000000-2-1-122-2-2-1-11111112000-2-200-1-100001-1-1110020-2-1-1-1000011000100
χ2422222-1222-1-12-12-122-1-1-1-2-2-12-12-2-2-2-200-2-200000000-2-1-122-2-2-1-1111111-200022001100001-1-11100-2021110000-1-1000-100
χ2522222-1222-1-12-12-1-2-2-1-1-122-12-122222002200000000-211-2-2-2-2-1-1-1-1-1-1-1-120002200-1-100001111100-20-2-1110000-1-1000100
χ2622222-1222-1-12-12-1-2-2-1-1-122-12-12222200-2-200000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2000-2-20011000011111002021-1-1000011000-100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-12-12-2-2-2-2002200000000211-2-222-1-11111112000-2-200-1-10000-111-1-100-202-111000011000-100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-12-12-2-2-2-200-2-200000000211-2-222-1-1111111-20002200110000-111-1-10020-21-1-10000-1-1000100
χ292222-1222-122-12-1-122-1-1-1222-12-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-122-1-1-1-1022200-1-100-1-1-1-12-1-1-1-100020000-1-1-1-100000000
χ302222-1222-122-12-1-122-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-21111222-1-1-1-1-1-122-1-1-1-10-2-2-200110011112-1-1-1-1000-20000111100000000
χ312222-1222-122-12-1-122-1-1-1-2-22-12-111112200-2-2-2-2-1-1-1-1-222-1-111-1-1-2-2111102-2-200-1-1001111-2-1-11100020000-1-11100000000
χ322222-1222-122-12-1-122-1-1-1-2-22-12-11111-2-20022221111-222-1-111-1-1-2-211110-222001100-1-1-1-1-2-1-111000-2000011-1-100000000
χ332222-1222-122-12-1-1-2-2-1-1-1222-12-1-1-1-1-122002222-1-1-1-1-2-2-21111-1-122-1-1-1-102-2-200-1-100-1-1-1-1-21111000-20000111100000000
χ342222-1222-122-12-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-200-2-2-2-21111-2-2-21111-1-122-1-1-1-10-2220011001111-2111100020000-1-1-1-100000000
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-12-111112200-2-2-2-2-1-1-1-12-2-211-1-1-1-1-2-21111022200-1-1001111211-1-1000-2000011-1-100000000
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-12-11111-2-200222211112-2-211-1-1-1-1-2-211110-2-2-2001100-1-1-1-1211-1-100020000-1-11100000000
χ372-22-22200-22-22-2-2200-2-222−2000022−2−22i−2i2i−2i−i2−i2i2i22i2i−2i−2i0000000002−222−2−20000−i2i2002i−2i−i2−i2i2i2000002-20000000000−i2i202−2000
χ382-22-22200-22-22-2-2200-2-222−2000022−2−22i−2i−2i2i−i2−i2i2i22i2i−2i−2i0000000002−222−2−20000i2−i200−2i2i−i2−i2i2i200000-220000000000i2−i20−22000
χ392-22-22200-22-22-2-2200-2-222−2000022−2−2−2i2i2i−2ii2i2−i2−i2−2i−2i2i2i0000000002−222−2−20000−i2i2002i−2ii2i2−i2−i200000-220000000000−i2i20−22000
χ402-22-22200-22-22-2-2200-2-222−2000022−2−2−2i2i−2i2ii2i2−i2−i2−2i−2i2i2i0000000002−222−2−20000i2−i200−2i2ii2i2−i2−i2000002-20000000000i2−i202−2000
χ412-22-22200-22-22-2-2200-2-22−220000−2−2222i−2i2i−2ii2i2−i2−i22i2i−2i−2i000000000−22−2−2220000i2−i2002i−2ii2i2−i2−i2000002-20000000000i2−i20−22000
χ422-22-22200-22-22-2-2200-2-22−220000−2−2222i−2i−2i2ii2i2−i2−i22i2i−2i−2i000000000−22−2−2220000−i2i200−2i2ii2i2−i2−i200000-220000000000−i2i202−2000
χ432-22-22200-22-22-2-2200-2-22−220000−2−222−2i2i2i−2i−i2−i2i2i2−2i−2i2i2i000000000−22−2−2220000i2−i2002i−2i−i2−i2i2i200000-220000000000i2−i202−2000
χ442-22-22200-22-22-2-2200-2-22−220000−2−222−2i2i−2i2i−i2−i2i2i2−2i−2i2i2i000000000−22−2−2220000−i2i200−2i2i−i2−i2i2i2000002-20000000000−i2i20−22000
χ452-2-22222-2-2-2-2-22222i−2i-22-20022-2-2000000002i−2i2i−2i000002i−2i2i−2i00-22000000002-20000002i−2i2i−2i02i−2i0000000000002-200000000
χ462-2-22222-2-2-2-2-22222i−2i-22-20022-2-200000000−2i2i−2i2i000002i−2i2i−2i00-2200000000-22000000−2i2i−2i2i02i−2i000000000000-2200000000
χ472-2-22222-2-2-2-2-2222−2i2i-22-20022-2-2000000002i−2i2i−2i00000−2i2i−2i2i00-2200000000-220000002i−2i2i−2i0−2i2i000000000000-2200000000
χ482-2-22222-2-2-2-2-2222−2i2i-22-20022-2-200000000−2i2i−2i2i00000−2i2i−2i2i00-22000000002-2000000−2i2i−2i2i0−2i2i0000000000002-200000000
χ492-2-22-122-21-2-212-1-12i−2i1-11002-1-21−i3i3−i3i300002i−2i2i−2i3−33−302i−2i−ii3−31-100−i3i3−i3i3002-2003−300−ii−ii0−ii3−300000000−i3i3-1100000000
χ502-2-22-122-21-2-212-1-12i−2i1-11002-1-21−i3i3−i3i30000−2i2i−2i2i−33−3302i−2i−ii3−31-100−i3i3−i3i300-2200−3300i−ii−i0−ii3−300000000i3−i31-100000000
χ512-2-22-122-21-2-212-1-12i−2i1-11002-1-21i3−i3i3−i300002i−2i2i−2i−33−3302i−2i−ii−331-100i3−i3i3−i3002-200−3300−ii−ii0−ii−3300000000i3−i3-1100000000
χ522-2-22-122-21-2-212-1-12i−2i1-11002-1-21i3−i3i3−i30000−2i2i−2i2i3−33−302i−2i−ii−331-100i3−i3i3−i300-22003−300i−ii−i0−ii−3300000000−i3i31-100000000
χ532-2-22-122-21-2-212-1-1−2i2i1-11002-1-21−i3i3−i3i300002i−2i2i−2i3−33−30−2i2ii−i−331-100−i3i3−i3i300-22003−300−ii−ii0i−i−3300000000i3−i31-100000000
χ542-2-22-122-21-2-212-1-1−2i2i1-11002-1-21−i3i3−i3i30000−2i2i−2i2i−33−330−2i2ii−i−331-100−i3i3−i3i3002-200−3300i−ii−i0i−i−3300000000−i3i3-1100000000
χ552-2-22-122-21-2-212-1-1−2i2i1-11002-1-21i3−i3i3−i300002i−2i2i−2i−33−330−2i2ii−i3−31-100i3−i3i3−i300-2200−3300−ii−ii0i−i3−300000000−i3i31-100000000
χ562-2-22-122-21-2-212-1-1−2i2i1-11002-1-21i3−i3i3−i30000−2i2i−2i2i3−33−30−2i2ii−i3−31-100i3−i3i3−i3002-2003−300i−ii−i0i−i3−300000000i3−i3-1100000000
χ5744444-2-4-44-2-24-24-200-2-2-2002-42-40000004400000000000000022000000-40000000-2-200000000000000200000000000000
χ5844444-2-4-44-2-24-24-200-2-2-2002-42-4000000-4-400000000000000022000000400000002200000000000000-200000000000000
χ594444-24-4-4-244-24-2-200-2-2-200-42-42000044000000-2-2-2-20000000220000000-40000220000000000000000000000000000000
χ604444-24-4-4-244-24-2-200-2-2-200-42-420000-4-40000002222000000022000000040000-2-20000000000000000000000000000000
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
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-4-2-2-2-2221122-1-1-1-100000000000000211-1-100000000000000000000
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
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2222200000000000042222-2-21122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-444004-44-4-4-44004-4-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ6644-4-444004-44-4-4-44004-4-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ6744-4-4-2400-2-442-42-200-222000000i6−i6−i6i6000022−22−2222−2i32i32i3−2i300000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ6844-4-4-2400-2-442-42-200-222000000i6−i6−i6i60000−222222−222i3−2i3−2i32i300000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ6944-4-4-2400-2-442-42-200-222000000−i6i6i6−i6000022−22−22222i3−2i3−2i32i300000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ7044-4-4-2400-2-442-42-200-222000000−i6i6i6−i60000−222222−22−2i32i32i3−2i300000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ714-44-44-200-4-2242-4-20022-222−2200002222−22−22004i−4i00000000000000000−22−2−2220000−2i22i200−2i2i000000000000000000000i2−i2000000
χ724-44-44-200-4-2242-4-20022-222−2200002222−22−2200−4i4i00000000000000000−22−2−22200002i2−2i2002i−2i000000000000000000000−i2i2000000
χ734-44-44-200-4-2242-4-20022-2−22220000−22−222222004i−4i000000000000000002−222−2−200002i2−2i200−2i2i000000000000000000000−i2i2000000
χ744-44-44-200-4-2242-4-20022-2−22220000−22−22222200−4i4i000000000000000002−222−2−20000−2i22i2002i−2i000000000000000000000i2−i2000000
χ754-44-4-240024-4-2-42-20022-222−220000−2−2224i−4i00−2i2−2i22i22i2−2i−2i2i2i00000000022−22−2−2220000000000i2i2−i2−i20000000000000000000000000
χ764-44-4-240024-4-2-42-20022-222−220000−2−222−4i4i002i22i2−2i2−2i22i2i−2i−2i00000000022−22−2−2220000000000−i2−i2i2i20000000000000000000000000
χ774-44-4-240024-4-2-42-20022-2−2222000022−2−24i−4i002i22i2−2i2−2i2−2i−2i2i2i000000000−222222−2−20000000000−i2−i2i2i20000000000000000000000000
χ784-44-4-240024-4-2-42-20022-2−2222000022−2−2−4i4i00−2i2−2i22i22i22i2i−2i−2i000000000−222222−2−20000000000i2i2−i2−i20000000000000000000000000
χ794-4-4444-44-4-4-4-444400-44-400-4-444000000000000000000000004-4000000000000000000000000000000000000000000000
χ804-4-444-24-4-422-4-24-24i−4i2-2200-242-400000000000000000−2i2i4i−4i002-2000000000000000000000−2i2i0000000000000000000000
χ814-4-444-24-4-422-4-24-2−4i4i2-2200-242-4000000000000000002i−2i−4i4i002-20000000000000000000002i−2i0000000000000000000000
χ824-4-444-2-44-422-4-24-2002-22002-4-2400000000000000000000000-22000000000000000000000000000000023−23000000000000
χ834-4-444-2-44-422-4-24-2002-22002-4-2400000000000000000000000-220000000000000000000000000000000−2323000000000000
χ844-4-44-24-442-4-424-2-2002-2200-424-200000000000023−2323−230000000-22000000000000−23230000000000000000000000000000000
χ854-4-44-24-442-4-424-2-2002-2200-424-2000000000000−2323−23230000000-2200000000000023−230000000000000000000000000000000
χ864-4-44-2-24-42222-2-214i−4i-11-100-2-222−2i32i3−2i32i30000000000000−2i2i−2i2i23−23-1100i3−i3i3−i3000000000000000i−i−3300000000000000000000
χ874-4-44-2-24-42222-2-214i−4i-11-100-2-2222i3−2i32i3−2i30000000000000−2i2i−2i2i−2323-1100−i3i3−i3i3000000000000000i−i3−300000000000000000000
χ884-4-44-2-24-42222-2-21−4i4i-11-100-2-222−2i32i3−2i32i300000000000002i−2i2i−2i−2323-1100i3−i3i3−i3000000000000000−ii3−300000000000000000000
χ894-4-44-2-24-42222-2-21−4i4i-11-100-2-2222i3−2i32i3−2i300000000000002i−2i2i−2i23−23-1100−i3i3−i3i3000000000000000−ii−3300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-88-40084-4-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-44442002-2-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ9388-8-8-4-400-44-44442002-2-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ948-88-8-4-4004-44-444200-2-2242−420000−22−222222000000000000000000000−222222−2−2000000000000000000000000000000000000000
χ958-88-8-4-4004-44-444200-2-22−424200002222−22−2200000000000000000000022−22−2−222000000000000000000000000000000000000000
χ968-8-88-4-4-884444-4-4200-22-20044-4-4000000000000000000000002-2000000000000000000000000000000000000000000000

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