Finite Group Databasebeta

← Group #11888606

Character table — Group #11888606

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order122233446666662344466666666666121212121212121212124441212121212121212121212121212121212121222244881212121224466666812121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-111-1-1-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-1-1
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
χ51111111111111111-1-111111111111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-11111-1-1-1111-1-1-1-1-1-1-1-111-1
χ61111111111111111-1-111111111111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-11-1-11-1-11-1-1111111-1-11
χ71111111111111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-111-111-111-1-1-1-111-1-11
χ81111111111111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-1111111-1-111-1
χ911111111111111-1111-1-1-1-1-11-1-1-1-1111111111-1-1111-111-1-1-1-1-111-1-11111-1-1-1-1111-1-11111-1-1-11-1111-1-1-1-1-1-11111-1-111-11-1
χ1011111111111111-1111-1-1-1-1-11-1-1-1-1111111111-1-1111-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-111-1-11-1-1111-111-1-111-1-11-11
χ1111111111111111-1111-1-1-1-1-11-1-1-1-1111111111-1-11-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1111111-1-1111-1-111-111-1-1-11-1-111-1-1-1-11-11
χ1211111111111111-1111-1-1-1-1-11-1-1-1-1111111111-1-11-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1111-11-1-1-1111111-1-1-1-11111-11-1
χ1311111111111111-11-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-11111-1-111-11111-1-1-1-1-1-11111111-1-1-1-111-1-11-1-1111111-1-1-1-1-1-1-111-1-1-111
χ1411111111111111-11-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-11111-1-111-11111-1-1-1-1-1-111111-1-1-1-11111-1-11-11-1-1111-111-1-1-111-1-1111-1-1
χ1511111111111111-11-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-11-1-11-1-111-11111-1-1-1-1-1-11111-11111-1-1-1-111-11-111-1-1-11-1-1111-1-111111-1-1
χ1611111111111111-11-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-11-1-11-1-111-11111-1-1-1-1-1-11111-1-1-11111-1-111-111-1-1-1-1-1-11111111-1-1-1-1-111
χ17222222-2-22222222200-222222222222-2-20000-2-2-2-22200000-200-2-2-2-200000000-2002-200222200000-200000-200000000000
χ18222222-2-22222222200-222222222222-2-20000-2-2-2-2-2-200000-200-2-2-2-200000000200-2200-2-2-2-200000200000200000000000
χ19222222-2-2222222-22002-2-2-2-22-2-2-2-222-2-20000-222-22200000200-2-22200000000-200-220022-2-200000-200000200000000000
χ20222222-2-2222222-22002-2-2-2-22-2-2-2-222-2-20000-222-2-2-200000200-2-222000000002002-200-2-22200000200000-200000000000
χ2122222-12222-1-12-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12002200-1-1-1-122000-1-1-1000-1-1-1000000000
χ2222222-12222-1-12-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-2-2001111-2-2000111000111000000000
χ2322222-12222-1-12-12-1-2-2222-1-1-1-1-1-1-1-1-1-1-11111222222-2-2-2-2-2-111-1-1-1-1111111112002200-1-1-1-1-2-2000-111000-111000000000
χ2422222-12222-1-12-12-1-2-2222-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-2-2-2-2-111-1-1-1-111111111-200-2-2001111220001-1-10001-1-1000000000
χ2522222-12222-1-12-1-2-122-2-2-211-11111-1-1-1-1-1-1-1-12-2-2222-222-2-2111-1-111-1-1-1-11111200-2-200-1-111-22000-1110001-1-1000000000
χ2622222-12222-1-12-1-2-122-2-2-211-11111-1-1-1-1-1-1-1-12-2-22-2-2-222-2-2111-1-111-1-1-1-11111-200220011-1-12-20001-1-1000-111000000000
χ2722222-12222-1-12-1-2-1-2-2-2-2-211-11111-1-1-1-111112-2-22222-2-2221-1-1-1-1111111-1-1-1-1200-2-200-1-1112-2000-1-1-1000111000000000
χ2822222-12222-1-12-1-2-1-2-2-2-2-211-11111-1-1-1-111112-2-22-2-22-2-2221-1-1-1-1111111-1-1-1-1-200220011-1-1-22000111000-1-1-1000000000
χ2922222-1-2-222-1-12-12-100-222-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2-2-222000001−i3i31111−i3−i3i3i3−i3−i3i3i3-2002-200-1-1-1-1000001−i3i30001−i3i3000000000
χ3022222-1-2-222-1-12-12-100-222-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-2-2-2-2-2000001−i3i31111−i3−i3i3i3−i3−i3i3i3200-2200111100000-1i3−i3000-1i3−i3000000000
χ3122222-1-2-222-1-12-12-100-222-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2-2-222000001i3−i31111i3i3−i3−i3i3i3−i3−i3-2002-200-1-1-1-1000001i3−i30001i3−i3000000000
χ3222222-1-2-222-1-12-12-100-222-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-2-2-2-2-2000001i3−i31111i3i3−i3−i3i3i3−i3−i3200-2200111100000-1−i3i3000-1−i3i3000000000
χ3322222-1-2-222-1-12-1-2-1002-2-211-11111-1-111−i3−i3i3i3-222-22200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-200-2200-1-111000001i3−i3000-1−i3i3000000000
χ3422222-1-2-222-1-12-1-2-1002-2-211-11111-1-111−i3−i3i3i3-222-2-2-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32002-20011-1-100000-1−i3i30001i3−i3000000000
χ3522222-1-2-222-1-12-1-2-1002-2-211-11111-1-111i3i3−i3−i3-222-22200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-200-2200-1-111000001−i3i3000-1i3−i3000000000
χ3622222-1-2-222-1-12-1-2-1002-2-211-11111-1-111i3i3−i3−i3-222-2-2-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32002-20011-1-100000-1i3−i30001−i3i3000000000
χ372222-1222-1-122-122-1222-1-122-1-1-1-1-1-1-1222222-1-1-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-102200220000002-1-10002-1-1000-1-1-1-100000
χ382222-1222-1-122-122-1222-1-122-1-1-1-1-1-1-1222222-1-1-1-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-10-2-200-2-2000000-211000-211000111100000
χ392222-1222-1-122-122-1-2-22-1-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-100-211112-2-2-1-1-1-11111111102200-2-20000002-1-1000-2-1-1000111100000
χ402222-1222-1-122-122-1-2-22-1-122-1-1-1-1-1-1-122-2-2-2-2-1-1-1-100-211112-2-2-1-1-1-1111111110-2-20022000000-211000211000-1-1-1-100000
χ412222-1222-1-122-12-2-122-211-2-2-11111-1-1222222-111-100-2-1-111-2-2-2-1-111-1-1-1-111110220022000000-2-1-1000-211000-1-11100000
χ422222-1222-1-122-12-2-122-211-2-2-11111-1-1222222-111-100-2-1-111-2-2-2-1-111-1-1-1-111110-2-200-2-20000002110002-1-100011-1-100000
χ432222-1222-1-122-12-2-1-2-2-211-2-2-11111-1-122-2-2-2-2-111-100211-1-1-222-1-1111111-1-1-1-102200-2-2000000-2-1-100021100011-1-100000
χ442222-1222-1-122-12-2-1-2-2-211-2-2-11111-1-122-2-2-2-2-111-100211-1-1-222-1-1111111-1-1-1-10-2-20022000000211000-2-1-1000-1-11100000
χ452-2-22222-2-2-22-22-2022i−2i00000-200002-22-22i−2i2i−2i200-20002i−2i000002-2002i−2i2i−2i000002-2002i−2i00000002-20000000002i−2i0000000
χ462-2-22222-2-2-22-22-2022i−2i00000-200002-22-22i−2i2i−2i200-20002i−2i000002-2002i−2i2i−2i00000-2200−2i2i0000000-22000000000−2i2i0000000
χ472-2-22222-2-2-22-22-202−2i2i00000-200002-22-2−2i2i−2i2i200-2000−2i2i000002-200−2i2i−2i2i000002-200−2i2i00000002-2000000000−2i2i0000000
χ482-2-22222-2-2-22-22-202−2i2i00000-200002-22-2−2i2i−2i2i200-2000−2i2i000002-200−2i2i−2i2i00000-22002i−2i0000000-220000000002i−2i0000000
χ492-2-22-122-2112-2-1-20-12i−2i0−i3i3001−i3−i3i3i3-112-22i−2i2i−2i-1−i3i31000−ii3−3000-11−i3i3−ii−ii3−33−302-2002i−2i0000000-110000−i3i3000−ii3−300000
χ502-2-22-122-2112-2-1-20-12i−2i0−i3i3001−i3−i3i3i3-112-22i−2i2i−2i-1−i3i31000−ii3−3000-11−i3i3−ii−ii3−33−30-2200−2i2i00000001-10000i3−i3000i−i−3300000
χ512-2-22-122-2112-2-1-20-12i−2i0i3−i3001i3i3−i3−i3-112-22i−2i2i−2i-1i3−i31000−ii−33000-11i3−i3−ii−ii−33−3302-2002i−2i0000000-110000i3−i3000−ii−3300000
χ522-2-22-122-2112-2-1-20-12i−2i0i3−i3001i3i3−i3−i3-112-22i−2i2i−2i-1i3−i31000−ii−33000-11i3−i3−ii−ii−33−330-2200−2i2i00000001-10000−i3i3000i−i3−300000
χ532-2-22-122-2112-2-1-20-1−2i2i0−i3i3001−i3−i3i3i3-112-2−2i2i−2i2i-1−i3i31000i−i−33000-11−i3i3i−ii−i−33−3302-200−2i2i0000000-110000−i3i3000i−i−3300000
χ542-2-22-122-2112-2-1-20-1−2i2i0−i3i3001−i3−i3i3i3-112-2−2i2i−2i2i-1−i3i31000i−i−33000-11−i3i3i−ii−i−33−330-22002i−2i00000001-10000i3−i3000−ii3−300000
χ552-2-22-122-2112-2-1-20-1−2i2i0i3−i3001i3i3−i3−i3-112-2−2i2i−2i2i-1i3−i31000i−i3−3000-11i3−i3i−ii−i3−33−302-200−2i2i0000000-110000i3−i3000i−i3−300000
χ562-2-22-122-2112-2-1-20-1−2i2i0i3−i3001i3i3−i3−i3-112-2−2i2i−2i2i-1i3−i31000i−i3−3000-11i3−i3i−ii−i3−33−30-22002i−2i00000001-10000−i3i3000−ii−3300000
χ574444-24-4-4-2-244-244-200-4-2-244-2-2-2-2-2-2-2-4-4000022220000000-4002222000000000000000000000000000000000000000000
χ584444-24-4-4-2-244-24-4-200422-4-4-22222-2-2-4-400002-2-22000000040022-2-2000000000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-241444-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2004-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-241-4-44-2-2-2-21111111-2-22222-2-2-2-200-42222-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4144-422221-1-1-1-111-2-2-2-2-2-2-222-200-4-2-22222211-1-11111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-41-4-4-422221-1-1-1-111-2-22222-222-200422-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-24100-4-2-2-2-2111111122−2i3−2i32i32i3222200000002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-24100-4-2-2-2-21111111222i32i3−2i3−2i32222000000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2-4100422221-1-1-1-11122−2i3−2i32i32i32-2-220000000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2-4100422221-1-1-1-111222i32i3−2i3−2i32-2-220000000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-44400-44-44-4-4040000000-40000-440000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6844-4-44400-44-44-4-4040000000-40000-4400000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ694-44-444004-4-4-4-4404000000040000-4-400000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000
χ704-44-444004-4-4-4-4404000000040000-4-40000000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000
χ714-44-44-2004-422-4-20-200000−2i32i3-2−2i32i3−2i32i32200000000004i−4i000000000000000000000000000−2i2i23−2300000000000000000000000
χ724-44-44-2004-422-4-20-200000−2i32i3-2−2i32i3−2i32i3220000000000−4i4i0000000000000000000000000002i−2i−232300000000000000000000000
χ734-44-44-2004-422-4-20-2000002i3−2i3-22i3−2i32i3−2i32200000000004i−4i000000000000000000000000000−2i2i−232300000000000000000000000
χ744-44-44-2004-422-4-20-2000002i3−2i3-22i3−2i32i3−2i3220000000000−4i4i0000000000000000000000000002i−2i23−2300000000000000000000000
χ754-4-4444-44-4-44-44-4040000000-400004-4-440000-40040000000000-4400000000000000000000000000000000000000000000
χ764-4-444-24-4-4-4-22420-24i−4i0000020000-22-22−2i2i−2i2i400-40004i−4i00000-2200−2i2i−2i2i00000000000000000000000000000000000000
χ774-4-444-24-4-4-4-22420-2−4i4i0000020000-22-222i−2i2i−2i400-4000−4i4i00000-22002i−2i2i−2i00000000000000000000000000000000000000
χ784-4-444-2-44-4-4-22420-2000000020000-222-223−23−2323-400400000000002-20023−23−232300000000000000000000000000000000000000
χ794-4-444-2-44-4-4-22420-2000000020000-222-2−232323−23-400400000000002-200−232323−2300000000000000000000000000000000000000
χ804-4-44-24-44224-4-2-40-2000−2i32i3002−2i3−2i32i32i3-22-44000022i3−2i3-200000000002-22i3−2i3000000000000000000000000000000000000000000
χ814-4-44-24-44224-4-2-40-20002i3−2i30022i32i3−2i3−2i3-22-4400002−2i32i3-200000000002-2−2i32i3000000000000000000000000000000000000000000
χ824-4-44-2-24-422-22-22014i−4i0−2i32i300-1i3i3−i3−i31-1-22−2i2i−2i2i-2−2i32i32000−2i2i23−230001-1i3−i3i−ii−i−33−330000000000000000000000000000000000
χ834-4-44-2-24-422-22-22014i−4i02i3−2i300-1−i3−i3i3i31-1-22−2i2i−2i2i-22i3−2i32000−2i2i−23230001-1−i3i3i−ii−i3−33−30000000000000000000000000000000000
χ844-4-44-2-24-422-22-2201−4i4i0−2i32i300-1i3i3−i3−i31-1-222i−2i2i−2i-2−2i32i320002i−2i−23230001-1i3−i3−ii−ii3−33−30000000000000000000000000000000000
χ854-4-44-2-24-422-22-2201−4i4i02i3−2i300-1−i3−i3i3i31-1-222i−2i2i−2i-22i3−2i320002i−2i23−230001-1−i3i3−ii−ii−33−330000000000000000000000000000000000
χ864-4-44-2-2-4422-22-2201000−2i32i300-1i3i3−i3−i31-12-223−23−232322i3−2i3-20000000000-11−i3i3−333−3−3i3i3i−3i0000000000000000000000000000000000
χ874-4-44-2-2-4422-22-2201000−2i32i300-1i3i3−i3−i31-12-2−232323−2322i3−2i3-20000000000-11−i3i33−3−333i−3i−3i3i0000000000000000000000000000000000
χ884-4-44-2-2-4422-22-22010002i3−2i300-1−i3−i3i3i31-12-223−23−23232−2i32i3-20000000000-11i3−i3−333−33i−3i−3i3i0000000000000000000000000000000000
χ894-4-44-2-2-4422-22-22010002i3−2i300-1−i3−i3i3i31-12-2−232323−232−2i32i3-20000000000-11i3−i33−3−33−3i3i3i−3i0000000000000000000000000000000000
χ9088-8-88-400-884-4-840-40000000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-48004-4-884-80-40000000400004-4000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4004-44-444020000000-26-6-66-22000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4004-44-444020000000-2-666-6-22000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4800-44-8-8480-40000000-4000044000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-400-44444-40200000−4i34i322i3−2i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400-44444-402000004i3−4i32−2i32i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000000

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