Finite Group Databasebeta

← Group #11889376

Character table — Group #11889376

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order122233446666662344466666121212121212121212121212121212122246661212121212121212121212121212121244444668812124448121212121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111-1-11111111111-1-1-1-11111111111-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-11-111-1-1-1-11111-1-1-1-1-1-111-1
χ61111111111111111-1-11111111111-1-1-1-11111111111-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1111-1-1-1-1-1-1-1-1111111-1-11
χ71111111111111111-1-11111111111-1-1-1-111111111-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-111111111-1-1-1-111-1-11
χ81111111111111111-1-11111111111-1-1-1-111111111-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-11111-1-1-1-11111-1-111-1
χ911111111111111-1111-1-1-111111-1-111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111111-1-11-1-1-11-111-1-111-1-111-1-111-11-1
χ1011111111111111-1111-1-1-111111-1-111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-11-1111-111-1-1-1-111-1-111-1-11-11
χ1111111111111111-1111-1-1-111111-1-111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-111-1-11111-11-1-1-11-1-11111-1-111-1-1-1-11-11
χ1211111111111111-1111-1-1-111111-1-111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-111-1111-11-1-111-1-111-1-11111-11-1
χ1311111111111111-11-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-11111-1-111111-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-111
χ1411111111111111-11-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-111-11-1-1-111-1-11111-1-1111-1-1
χ1511111111111111-11-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-11-1-11-1-1-1-1-1111111-1-1-1-1111111-111-1-1-1-1111-1-11-1111-1-111-1-1-1-111111-1-1
χ1611111111111111-11-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-11-1-11-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-111111-11-1-1111-1-1-1-11111-1-1-1-1-111
χ17222222-2-22222222200-222222-2-2-2-20000-2-2-2-2-2-2-2-2220222000000-2-2000000002-2-2002200-2-20000-2200000000000000000
χ18222222-2-22222222200-222222-2-2-2-20000-2-2-2-2-2-2-2-2-2-20222000000-2-200000000-22200-2-2002200002-200000000000000000
χ19222222-2-2222222-22002-2-2222-2-2220000-2222222-2220-2-2-2000000-2-200000000-22-2002200220000-2-200000000000000000
χ20222222-2-2222222-22002-2-2222-2-2220000-2222222-2-2-20-2-2-2000000-2-2000000002-2200-2-200-2-200002200000000000000000
χ2122222-12222-1-1-122-122222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122200-1-100-1-12200-1-1-1-1-1-10000000000000
χ2222222-12222-1-1-122-122222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200110011-2-2001111110000000000000
χ2322222-12222-1-1-122-1-2-2222-1-1-1-1-1-1-11111222-1-1-1-1222-2-1-1-1-2-2-2-211-1-11111111122200-1-100-1-1-2-200-1-111110000000000000
χ2422222-12222-1-1-122-1-2-2222-1-1-1-1-1-1-11111222-1-1-1-12-2-2-2-1-1-1-2-2-2-211-1-111111111-2-2-200110011220011-1-1-1-10000000000000
χ2522222-12222-1-1-12-2-122-2-2-2-1-1-1-1-111-1-1-1-12-2-21111222-211122-2-211-1-1-1-1-1-11111-2-2200-1-100112-200-11-1-1110000000000000
χ2622222-12222-1-1-12-2-122-2-2-2-1-1-1-1-111-1-1-1-12-2-211112-2-2-211122-2-211-1-1-1-1-1-1111122-2001100-1-1-22001-111-1-10000000000000
χ2722222-12222-1-1-12-2-1-2-2-2-2-2-1-1-1-1-11111112-2-211112222111-2-222-1-1-1-11111-1-1-1-1-2-2200-1-10011-2200-1111-1-10000000000000
χ2822222-12222-1-1-12-2-1-2-2-2-2-2-1-1-1-1-11111112-2-211112-2-22111-2-222-1-1-1-11111-1-1-1-122-2001100-1-12-2001-1-1-1110000000000000
χ2922222-1-2-222-1-1-122-100-222-1-1-11111−i3−i3i3i3-2-2-21111-2220-1-1-10000−i3i311−i3−i3i3i3−i3−i3i3i32-2-200-1-1001100001-1−i3i3−i3i30000000000000
χ3022222-1-2-222-1-1-122-100-222-1-1-11111−i3−i3i3i3-2-2-21111-2-2-20-1-1-10000−i3i311−i3−i3i3i3−i3−i3i3i3-222001100-1-10000-11i3−i3i3−i30000000000000
χ3122222-1-2-222-1-1-122-100-222-1-1-11111i3i3−i3−i3-2-2-21111-2220-1-1-10000i3−i311i3i3−i3−i3i3i3−i3−i32-2-200-1-1001100001-1i3−i3i3−i30000000000000
χ3222222-1-2-222-1-1-122-100-222-1-1-11111i3i3−i3−i3-2-2-21111-2-2-20-1-1-10000i3−i311i3i3−i3−i3i3i3−i3−i3-222001100-1-10000-11−i3i3−i3i30000000000000
χ3322222-1-2-222-1-1-12-2-1002-2-2-1-1-111-1-1−i3−i3i3i3-222-1-1-1-1-22201110000i3−i311−i3−i3i3i3i3i3−i3−i3-22-200-1-100-1-1000011−i3i3i3−i30000000000000
χ3422222-1-2-222-1-1-12-2-1002-2-2-1-1-111-1-1−i3−i3i3i3-222-1-1-1-1-2-2-201110000i3−i311−i3−i3i3i3i3i3−i3−i32-22001100110000-1-1i3−i3−i3i30000000000000
χ3522222-1-2-222-1-1-12-2-1002-2-2-1-1-111-1-1i3i3−i3−i3-222-1-1-1-1-22201110000−i3i311i3i3−i3−i3−i3−i3i3i3-22-200-1-100-1-1000011i3−i3−i3i30000000000000
χ3622222-1-2-222-1-1-12-2-1002-2-2-1-1-111-1-1i3i3−i3−i3-222-1-1-1-1-2-2-201110000−i3i311i3i3−i3−i3−i3−i3i3i32-22001100110000-1-1−i3i3i3−i30000000000000
χ372222-1222-1-1222-12-1222-1-1-1-1-122222222-1-1-1-1-1-1-1-10022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000220022000022000000-1-1-1-1-1-1-1-100000
χ382222-1222-1-1222-12-1222-1-1-1-1-122222222-1-1-1-1-1-1-1-10022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000-2-200-2-20000-2-20000001111111100000
χ392222-1222-1-1222-12-1-2-22-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-100-22-1-11111-2-2-1-1111111110002200-2-200002-2000000-1-1-1-1111100000
χ402222-1222-1-1222-12-1-2-22-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-100-22-1-11111-2-2-1-111111111000-2-200220000-220000001111-1-1-1-100000
χ412222-1222-1-1222-1-2-122-211-1-1-122-2-22222-1111111-100-2-211-1-111-2-2-1-1-1-1-1-111110002200220000-2-2000000-1-111-1-11100000
χ422222-1222-1-1222-1-2-122-211-1-1-122-2-22222-1111111-100-2-211-1-111-2-2-1-1-1-1-1-11111000-2-200-2-200002200000011-1-111-1-100000
χ432222-1222-1-1222-1-2-1-2-2-211-1-1-122-2-2-2-2-2-2-1111111-1002-21111-1-122-1-11111-1-1-1-10002200-2-20000-22000000-1-11111-1-100000
χ442222-1222-1-1222-1-2-1-2-2-211-1-1-122-2-2-2-2-2-2-1111111-1002-21111-1-122-1-11111-1-1-1-1000-2-2002200002-200000011-1-1-1-11100000
χ452-2-22222-2-2-2-22-22022i−2i0002-2-22-2002i−2i2i−2i2000000-20000002i−2i00002-22i−2i2i−2i00000002-2002i−2i0000000000002-2002i−2i0000000
χ462-2-22222-2-2-2-22-22022i−2i0002-2-22-2002i−2i2i−2i2000000-20000002i−2i00002-22i−2i2i−2i0000000-2200−2i2i000000000000-2200−2i2i0000000
χ472-2-22222-2-2-2-22-2202−2i2i0002-2-22-200−2i2i−2i2i2000000-2000000−2i2i00002-2−2i2i−2i2i00000002-200−2i2i0000000000002-200−2i2i0000000
χ482-2-22222-2-2-2-22-2202−2i2i0002-2-22-200−2i2i−2i2i2000000-2000000−2i2i00002-2−2i2i−2i2i0000000-22002i−2i000000000000-22002i−2i0000000
χ492-2-22-122-211-22-2-10-12i−2i0−i3i3-1112-2002i−2i2i−2i-1−i3i3−i3−i3i3i310000−i3i3−ii3−300-11−ii−ii3−33−30002-2002i−2i000000000000-11−i3i3−ii3−300000
χ502-2-22-122-211-22-2-10-12i−2i0−i3i3-1112-2002i−2i2i−2i-1−i3i3−i3−i3i3i310000−i3i3−ii3−300-11−ii−ii3−33−3000-2200−2i2i0000000000001-1i3−i3i−i−3300000
χ512-2-22-122-211-22-2-10-12i−2i0i3−i3-1112-2002i−2i2i−2i-1i3−i3i3i3−i3−i310000i3−i3−ii−3300-11−ii−ii−33−330002-2002i−2i000000000000-11i3−i3−ii−3300000
χ522-2-22-122-211-22-2-10-12i−2i0i3−i3-1112-2002i−2i2i−2i-1i3−i3i3i3−i3−i310000i3−i3−ii−3300-11−ii−ii−33−33000-2200−2i2i0000000000001-1−i3i3i−i3−300000
χ532-2-22-122-211-22-2-10-1−2i2i0−i3i3-1112-200−2i2i−2i2i-1−i3i3−i3−i3i3i310000−i3i3i−i−3300-11i−ii−i−33−330002-200−2i2i000000000000-11−i3i3i−i−3300000
χ542-2-22-122-211-22-2-10-1−2i2i0−i3i3-1112-200−2i2i−2i2i-1−i3i3−i3−i3i3i310000−i3i3i−i−3300-11i−ii−i−33−33000-22002i−2i0000000000001-1i3−i3−ii3−300000
χ552-2-22-122-211-22-2-10-1−2i2i0i3−i3-1112-200−2i2i−2i2i-1i3−i3i3i3−i3−i310000i3−i3i−i3−300-11i−ii−i3−33−30002-200−2i2i000000000000-11i3−i3i−i3−300000
χ562-2-22-122-211-22-2-10-1−2i2i0i3−i3-1112-200−2i2i−2i2i-1i3−i3i3i3−i3−i310000i3−i3i−i3−300-11i−ii−i3−33−3000-22002i−2i0000000000001-1−i3i3−ii−3300000
χ574444-24-4-4-2-2444-24-200-4-2-2-2-2-2-4-4-4-40000222222220004-2-200000022000000000000000000000000000000000000000000
χ584444-24-4-4-2-2444-2-4-200422-2-2-2-4-44400002-2-2-2-2-2-22000-42200000022000000000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-241444-2-2111-2-2-2-2-2-2-2-2-2-2-21111-2004-211-2-2-2-2-2-211111111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-241-4-44-2-2111-2-2-2-22222-2-2-21111-200-4-21122222211-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4144-422111-2-222-2-2-2-2-222-1-1-1-1-200-42-1-1-2-22222111111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-41-4-4-422111-2-2222222-222-1-1-1-1-20042-1-122-2-2-2-211-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-24100-4-2-21112222−2i3−2i32i32i3222-1-1-1-12000-2110000−2i32i3-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-24100-4-2-211122222i32i3−2i3−2i3222-1-1-1-12000-21100002i3−2i3-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2-410042211122-2-2−2i3−2i32i32i32-2-2111120002-1-100002i3−2i3-1-1i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2-410042211122-2-22i32i3−2i3−2i32-2-2111120002-1-10000−2i32i3-1-1−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-444004-4-4-44-40400000-44-400000000000000004-400000000000000000000000004-4000000000000000000000000000
χ6844-4-444004-4-4-44-40400000-44-40000000000000000-440000000000000000000000000-44000000000000000000000000000
χ6944-4-44-2004-422-2-40-2000002-220023−23000000023−2323−2304-40000000000000000000000000-220023−2300000000000000000000000
χ7044-4-44-2004-422-2-40-2000002-220023−23000000023−2323−230-4400000000000000000000000002-200−232300000000000000000000000
χ7144-4-44-2004-422-2-40-2000002-2200−23230000000−2323−232304-40000000000000000000000000-2200−232300000000000000000000000
χ7244-4-44-2004-422-2-40-2000002-2200−23230000000−2323−23230-4400000000000000000000000002-20023−2300000000000000000000000
χ734-44-44400-444-4-4-40400000-4-44000000000000000000000000000000000000000000000000000000000000000000022−22000
χ744-44-44400-444-4-4-40400000-4-440000000000000000000000000000000000000000000000000000000000000000000−2222000
χ754-4-4444-44-4-4-44-4404000004-4-4-44000000-40000004000000000000-44000000000000000000000000000000000000000000
χ764-4-444-24-4-4-42-2240-24i−4i000-222-2200−2i2i−2i2i4000000-40000004i−4i0000-22−2i2i−2i2i00000000000000000000000000000000000000
χ774-4-444-24-4-4-42-2240-2−4i4i000-222-22002i−2i2i−2i4000000-4000000−4i4i0000-222i−2i2i−2i00000000000000000000000000000000000000
χ784-4-444-2-44-4-42-2240-200000-2222-20023−23−2323-400000040000000000002-223−23−232300000000000000000000000000000000000000
χ794-4-444-2-44-4-42-2240-200000-2222-200−232323−23-400000040000000000002-2−232323−2300000000000000000000000000000000000000
χ804-4-44-24-4422-44-4-20-2000−2i32i3-222-4400000022i3−2i32i32i3−2i3−2i3-20000−2i32i30000002-2000000000000000000000000000000000000000000
χ814-4-44-24-4422-44-4-20-20002i3−2i3-222-440000002−2i32i3−2i3−2i32i32i3-200002i3−2i30000002-2000000000000000000000000000000000000000000
χ824-4-44-2-24-4222-22-2014i−4i0−2i32i31-1-1-2200−2i2i−2i2i-2−2i32i3i3i3−i3−i320000i3−i3−2i2i23−23001-1i−ii−i−33−330000000000000000000000000000000000
χ834-4-44-2-24-4222-22-2014i−4i02i3−2i31-1-1-2200−2i2i−2i2i-22i3−2i3−i3−i3i3i320000−i3i3−2i2i−2323001-1i−ii−i3−33−30000000000000000000000000000000000
χ844-4-44-2-24-4222-22-201−4i4i0−2i32i31-1-1-22002i−2i2i−2i-2−2i32i3i3i3−i3−i320000i3−i32i−2i−2323001-1−ii−ii3−33−30000000000000000000000000000000000
χ854-4-44-2-24-4222-22-201−4i4i02i3−2i31-1-1-22002i−2i2i−2i-22i3−2i3−i3−i3i3i320000−i3i32i−2i23−23001-1−ii−ii−33−330000000000000000000000000000000000
χ864-4-44-2-2-44222-22-201000−2i32i31-1-12-20023−23−232322i3−2i3−i3−i3i3i3-20000i3−i3000000-11−333−3−3i3i3i−3i0000000000000000000000000000000000
χ874-4-44-2-2-44222-22-201000−2i32i31-1-12-200−232323−2322i3−2i3−i3−i3i3i3-20000i3−i3000000-113−3−333i−3i−3i3i0000000000000000000000000000000000
χ884-4-44-2-2-44222-22-2010002i3−2i31-1-12-20023−23−23232−2i32i3i3i3−i3−i3-20000−i3i3000000-11−333−33i−3i−3i3i0000000000000000000000000000000000
χ894-4-44-2-2-44222-22-2010002i3−2i31-1-12-200−232323−232−2i32i3i3i3−i3−i3-20000−i3i3000000-113−3−33−3i3i3i−3i0000000000000000000000000000000000
χ9088-8-8-4800-44-8-8840-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-4444-440200000-22-20043−430000000−2323−2323000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-4444-440200000-22-200−4343000000023−2323−23000000000000000000000000000000000000000000000000000000000
χ938-88-88-400-88-444-80-40000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-48004-48-8-840-40000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-4004-4-44440200000-2-22000000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-4-44440200000-2-2200000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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