Finite Group Databasebeta

← Group #11889222

Character table — Group #11889222

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order122233446666662344466666121212121212121212121212121212124446661212121212121212121212121212121222244881212121224466666812121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-111-1-1-1-11-1-1-111111-1-1-1-1-11111-1-1-1-1-1
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
χ51111111111111111-1-1111111111-1-1-1-111111111111-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111-1-111111-11-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111-1-1111111111-1-1-1-111111111111-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111111111-1-1-11-1-1-1-111-1-1-1-1111111-1-11
χ71111111111111111-1-1111111111-1-1-1-1111111111-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1-1-111-1-11
χ81111111111111111-1-1111111111-1-1-1-1111111111-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11-111111111-1-111-1
χ911111111111111-1111-1-1-11111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-11-1111-1-1-1-111-1-111-1-111-11-1
χ1011111111111111-1111-1-1-11111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-111-1-111-11-1-1111-111-1-1-1-111-1-11-11
χ1111111111111111-1111-1-1-11111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111111-1-111-1-11-111-1-1-11-1-11111-1-1-1-11-11
χ1211111111111111-1111-1-1-11111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1111-11-1-1-11111-1-111-1-11111-11-1
χ1311111111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-11-1-1-111-1-111-1-1-111
χ1411111111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-111111-1-1-1-11111-1-11-111-1-111-1-1-1-11111-1-1111-1-1
χ1511111111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-1-11-1-1-1-1-1111111-1-1-1-11111-11111-1-1-1-111-11-1-111-1-11111-1-1-1-111111-1-1
χ1611111111111111-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-1-11-1-1-1-1-1111111-1-1-1-11111-1-1-11111-1-11111-1-1-1-111-1111-1-111-1-1-1-1-111
χ17222222-2-22222222200-222222-2-2-20000-2-2-2-2-2-2-2-2-2220222000000-2-200000000-200-220022-2-2000-20000020000000000000
χ18222222-2-22222222200-222222-2-2-20000-2-2-2-2-2-2-2-2-2-2-20222000000-2-2000000002002-200-2-222000200000-20000000000000
χ19222222-2-2222222-22002-2-2222-2220000-2-2222222-2220-2-2-2000000-2-200000000-2002-2002222000-200000-20000000000000
χ20222222-2-2222222-22002-2-2222-2220000-2-2222222-2-2-20-2-2-2000000-2-200000000200-2200-2-2-2-200020000020000000000000
χ2122222-122-1-1-12222-1222-1-1-1-1-1-1-1-122222222-1-1-1-1-10022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1022002200002000-1-1-1-1200000-1-1-1-100000
χ2222222-122-1-1-12222-1222-1-1-1-1-1-1-1-122222222-1-1-1-1-10022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10-2-200-2-20000-20001111-200000111100000
χ2322222-122-1-1-12222-1-2-22-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-100-22-1-11111-2-2-1-11111111102200-2-200002000-1-1-1-1-200000111100000
χ2422222-122-1-1-12222-1-2-22-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-100-22-1-11111-2-2-1-1111111110-2-200220000-20001111200000-1-1-1-100000
χ2522222-122-1-1-1222-2-122-211-1-1-1-111222222-2-21111-100-2-211-1-111-2-2-1-1-1-1-1-1111102200220000-2000-1-111-200000-1-11100000
χ2622222-122-1-1-1222-2-122-211-1-1-1-111222222-2-21111-100-2-211-1-111-2-2-1-1-1-1-1-111110-2-200-2-20000200011-1-120000011-1-100000
χ2722222-122-1-1-1222-2-1-2-2-211-1-1-1-111-2-2-2-222-2-21111-1002-21111-1-122-1-11111-1-1-1-102200-2-20000-2000-1-11120000011-1-100000
χ2822222-122-1-1-1222-2-1-2-2-211-1-1-1-111-2-2-2-222-2-21111-1002-21111-1-122-1-11111-1-1-1-10-2-200220000200011-1-1-200000-1-11100000
χ292222-1222222-1-1-12-122222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12002200-1-1-1-1022-100000-1-1-1-1-1000000000
χ302222-1222222-1-1-12-122222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-200-2-20011110-2-210000011111000000000
χ312222-1222222-1-1-12-1-2-2222-1-1-12221111-1-1-1-1-1-1-1-1222-2-1-1-1-2-2-2-211-1-1111111112002200-1-1-1-10-2-2-100000-11111000000000
χ322222-1222222-1-1-12-1-2-2222-1-1-12221111-1-1-1-1-1-1-1-12-2-2-2-1-1-1-2-2-2-211-1-111111111-200-2-20011110221000001-1-1-1-1000000000
χ332222-1222222-1-1-1-2-122-2-2-2-1-1-12-2-2-1-1-1-1-1-1111111222-211122-2-211-1-1-1-1-1-11111200-2-200-1-11102-2-1000001-1-111000000000
χ342222-1222222-1-1-1-2-122-2-2-2-1-1-12-2-2-1-1-1-1-1-11111112-2-2-211122-2-211-1-1-1-1-1-11111-200220011-1-10-22100000-111-1-1000000000
χ352222-1222222-1-1-1-2-1-2-2-2-2-2-1-1-12-2-21111-1-11111112222111-2-222-1-1-1-11111-1-1-1-1200-2-200-1-1110-22-100000111-1-1000000000
χ362222-1222222-1-1-1-2-1-2-2-2-2-2-1-1-12-2-21111-1-11111112-2-22111-2-222-1-1-1-11111-1-1-1-1-200220011-1-102-2100000-1-1-111000000000
χ372222-12-2-2222-1-1-12-100-222-1-1-1-2-2-2−i3−i3i3i311111111-2220-1-1-10000−i3i311−i3−i3i3i3−i3−i3i3i3-200-2200-1-111000100000-1−i3i3−i3i3000000000
χ382222-12-2-2222-1-1-12-100-222-1-1-1-2-2-2−i3−i3i3i311111111-2-2-20-1-1-10000−i3i311−i3−i3i3i3−i3−i3i3i32002-20011-1-1000-1000001i3−i3i3−i3000000000
χ392222-12-2-2222-1-1-12-100-222-1-1-1-2-2-2i3i3−i3−i311111111-2220-1-1-10000i3−i311i3i3−i3−i3i3i3−i3−i3-200-2200-1-111000100000-1i3−i3i3−i3000000000
χ402222-12-2-2222-1-1-12-100-222-1-1-1-2-2-2i3i3−i3−i311111111-2-2-20-1-1-10000i3−i311i3i3−i3−i3i3i3−i3−i32002-20011-1-1000-1000001−i3i3−i3i3000000000
χ412222-12-2-2222-1-1-1-2-1002-2-2-1-1-1-222−i3−i3i3i311-1-1-1-1-1-1-22201110000i3−i311−i3−i3i3i3i3i3−i3−i3-2002-200-1-1-1-10001000001−i3i3i3−i3000000000
χ422222-12-2-2222-1-1-1-2-1002-2-2-1-1-1-222−i3−i3i3i311-1-1-1-1-1-1-2-2-201110000i3−i311−i3−i3i3i3i3i3−i3−i3200-22001111000-100000-1i3−i3−i3i3000000000
χ432222-12-2-2222-1-1-1-2-1002-2-2-1-1-1-222i3i3−i3−i311-1-1-1-1-1-1-22201110000−i3i311i3i3−i3−i3−i3−i3i3i3-2002-200-1-1-1-10001000001i3−i3−i3i3000000000
χ442222-12-2-2222-1-1-1-2-1002-2-2-1-1-1-222i3i3−i3−i311-1-1-1-1-1-1-2-2-201110000−i3i311i3i3−i3−i3−i3−i3i3i3200-22001111000-100000-1−i3i3i3−i3000000000
χ452-2-22222-22-2-2-22-2022i−2i0002-2-22002i−2i2i−2i2-2000000-20000002i−2i00002-22i−2i2i−2i000002-2002i−2i000000002-2000000002i−2i0000000
χ462-2-22222-22-2-2-22-2022i−2i0002-2-22002i−2i2i−2i2-2000000-20000002i−2i00002-22i−2i2i−2i00000-2200−2i2i00000000-2200000000−2i2i0000000
χ472-2-22222-22-2-2-22-202−2i2i0002-2-2200−2i2i−2i2i2-2000000-2000000−2i2i00002-2−2i2i−2i2i000002-200−2i2i000000002-200000000−2i2i0000000
χ482-2-22222-22-2-2-22-202−2i2i0002-2-2200−2i2i−2i2i2-2000000-2000000−2i2i00002-2−2i2i−2i2i00000-22002i−2i00000000-22000000002i−2i0000000
χ492-2-222-12-2-111-22-20-12i−2i0−i3i3-111-1−i3i32i−2i2i−2i2-200−i3−i3i3i310000−i3i3−ii3−300-11−ii−ii3−33−302-2002i−2i00000000-11−i3i3000000−ii3−300000
χ502-2-222-12-2-111-22-20-12i−2i0−i3i3-111-1−i3i32i−2i2i−2i2-200−i3−i3i3i310000−i3i3−ii3−300-11−ii−ii3−33−30-2200−2i2i000000001-1i3−i3000000i−i−3300000
χ512-2-222-12-2-111-22-20-12i−2i0i3−i3-111-1i3−i32i−2i2i−2i2-200i3i3−i3−i310000i3−i3−ii−3300-11−ii−ii−33−3302-2002i−2i00000000-11i3−i3000000−ii−3300000
χ522-2-222-12-2-111-22-20-12i−2i0i3−i3-111-1i3−i32i−2i2i−2i2-200i3i3−i3−i310000i3−i3−ii−3300-11−ii−ii−33−330-2200−2i2i000000001-1−i3i3000000i−i3−300000
χ532-2-222-12-2-111-22-20-1−2i2i0−i3i3-111-1−i3i3−2i2i−2i2i2-200−i3−i3i3i310000−i3i3i−i−3300-11i−ii−i−33−3302-200−2i2i00000000-11−i3i3000000i−i−3300000
χ542-2-222-12-2-111-22-20-1−2i2i0−i3i3-111-1−i3i3−2i2i−2i2i2-200−i3−i3i3i310000−i3i3i−i−3300-11i−ii−i−33−330-22002i−2i000000001-1i3−i3000000−ii3−300000
χ552-2-222-12-2-111-22-20-1−2i2i0i3−i3-111-1i3−i3−2i2i−2i2i2-200i3i3−i3−i310000i3−i3i−i3−300-11i−ii−i3−33−302-200−2i2i00000000-11i3−i3000000i−i3−300000
χ562-2-222-12-2-111-22-20-1−2i2i0i3−i3-111-1i3−i3−2i2i−2i2i2-200i3i3−i3−i310000i3−i3i−i3−300-11i−ii−i3−33−30-22002i−2i000000001-1−i3i3000000−ii−3300000
χ5744444-2-4-4-2-2-24444-200-4-2-2-2-2-22220000-4-4-4-4222220004-2-200000022000000000000000000000000000000000000000000
χ5844444-2-4-4-2-2-2444-4-200422-2-2-22-2-20000-4-444-2-2-2-22000-42200000022000000000000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-241-4-44-2-2111-2-2-22222-2-2-2-21111-200-4-21122222211-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4144-422111-222-2-2-2-2-2-222-1-1-1-1-200-42-1-1-2-22222111111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-41-4-4-422111-2222222-2-222-1-1-1-1-20042-1-122-2-2-2-211-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-24100-4-2-2111222−2i3−2i32i32i32222-1-1-1-12000-2110000−2i32i3-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-24100-4-2-21112222i32i3−2i3−2i32222-1-1-1-12000-21100002i3−2i3-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2-41004221112-2-2−2i3−2i32i32i322-2-2111120002-1-100002i3−2i3-1-1i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2-41004221112-2-22i32i3−2i3−2i322-2-2111120002-1-10000−2i32i3-1-1−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-44400-44-4-4-440400000-44-400000000000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000
χ6844-4-44400-44-4-4-440400000-44-40000000000000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000
χ6944-4-4-2400-44-422-20-2000002-2200000000023−2323−2323−2304i−4i000000000000000000000000000−2i2i−2i32i300000000000000000000000
χ7044-4-4-2400-44-422-20-2000002-2200000000023−2323−2323−230−4i4i0000000000000000000000000002i−2i2i3−2i300000000000000000000000
χ7144-4-4-2400-44-422-20-2000002-22000000000−2323−2323−232304i−4i000000000000000000000000000−2i2i2i3−2i300000000000000000000000
χ7244-4-4-2400-44-422-20-2000002-22000000000−2323−2323−23230−4i4i0000000000000000000000000002i−2i−2i32i300000000000000000000000
χ734-44-44400-4-444-4-40400000-4-440000000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ744-44-44400-4-444-4-40400000-4-4400000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ754-4-4444-444-4-4-44-404000004-4-4-4000000-440000004000000000000-44000000000000000000000000000000000000000000
χ764-4-444-2-44-222-44-40-2000−2i32i3-22222i3−2i30000-44002i32i3−2i3−2i3-20000−2i32i30000002-2000000000000000000000000000000000000000000
χ774-4-444-2-44-222-44-40-20002i3−2i3-2222−2i32i30000-4400−2i3−2i32i32i3-200002i3−2i30000002-2000000000000000000000000000000000000000000
χ784-4-44-244-44-4-42-220-24i−4i000-222400−2i2i−2i2i-22000000-40000004i−4i0000-22−2i2i−2i2i00000000000000000000000000000000000000
χ794-4-44-244-44-4-42-220-2−4i4i000-2224002i−2i2i−2i-22000000-4000000−4i4i0000-222i−2i2i−2i00000000000000000000000000000000000000
χ804-4-44-24-444-4-42-220-200000-222-40023−23−23232-200000040000000000002-223−23−232300000000000000000000000000000000000000
χ814-4-44-24-444-4-42-220-200000-222-400−232323−232-200000040000000000002-2−232323−2300000000000000000000000000000000000000
χ824-4-44-2-24-4-2222-22014i−4i0−2i32i31-1-1-2−2i32i3−2i2i−2i2i-2200i3i3−i3−i320000i3−i3−2i2i23−23001-1i−ii−i−33−330000000000000000000000000000000000
χ834-4-44-2-24-4-2222-22014i−4i02i3−2i31-1-1-22i3−2i3−2i2i−2i2i-2200−i3−i3i3i320000−i3i3−2i2i−2323001-1i−ii−i3−33−30000000000000000000000000000000000
χ844-4-44-2-24-4-2222-2201−4i4i0−2i32i31-1-1-2−2i32i32i−2i2i−2i-2200i3i3−i3−i320000i3−i32i−2i−2323001-1−ii−ii3−33−30000000000000000000000000000000000
χ854-4-44-2-24-4-2222-2201−4i4i02i3−2i31-1-1-22i3−2i32i−2i2i−2i-2200−i3−i3i3i320000−i3i32i−2i23−23001-1−ii−ii−33−330000000000000000000000000000000000
χ864-4-44-2-2-44-2222-2201000−2i32i31-1-122i3−2i323−23−23232-200−i3−i3i3i3-20000i3−i3000000-11−333−3−3i3i3i−3i0000000000000000000000000000000000
χ874-4-44-2-2-44-2222-2201000−2i32i31-1-122i3−2i3−232323−232-200−i3−i3i3i3-20000i3−i3000000-113−3−333i−3i−3i3i0000000000000000000000000000000000
χ884-4-44-2-2-44-2222-22010002i3−2i31-1-12−2i32i323−23−23232-200i3i3−i3−i3-20000−i3i3000000-11−333−33i−3i−3i3i0000000000000000000000000000000000
χ894-4-44-2-2-44-2222-22010002i3−2i31-1-12−2i32i3−232323−232-200i3i3−i3−i3-20000−i3i3000000-113−3−33−3i3i3i−3i0000000000000000000000000000000000
χ9088-8-88-4004-44-8-880-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4004-4444-40200000-22-200000000043−43−2323−2323000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4004-4444-40200000-22-2000000000−434323−2323−23000000000000000000000000000000000000000000000000000000000
χ938-88-88-40044-48-8-80-40000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4800-8-88-4440-40000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-40044-4-4440200000-2-22000000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40044-4-4440200000-2-2200000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000

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