Finite Group Databasebeta

← Group #11889383

Character table — Group #11889383

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order122233446666662344466666666666121212121212121212122241212121212121212121212121212121212121244444668812124448121212121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1111-1-1111-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-111-1-1-111-1-1-11-111111-1-1-1-1-1-11111-1-1-1-1-1
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
χ511111111111111111-1-11111111111111111-1-1-1-1111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-111-11-1-111111-1-11-1-1-1-1-1-1-1-111-1
χ611111111111111111-1-11111111111111111-1-1-1-1111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-1-11-1-1-1-11-1-11-1-1111111-1-11
χ711111111111111111-1-11111111111111111-1-1-1-11-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-11111-111-111-1-1-1-111-1-11
χ811111111111111111-1-11111111111111111-1-1-1-11-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-111-1111111-1-111-1
χ911111111111111-11-111-1-1-1-111-1-1-1-111-1-1111111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-11111111-1-1-1-11-111-1-1-1-1-111111-1-1111-1-1
χ1011111111111111-11-111-1-1-1-111-1-1-1-111-1-1111111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-111-1-1-1111-1-111-1-1-111
χ1111111111111111-11-111-1-1-1-111-1-1-1-111-1-11111111-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111111-1-1-111-1-1111-1-1-111-1-1-1-1-111
χ1211111111111111-11-111-1-1-1-111-1-1-1-111-1-11111111-1-1-111-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-11-1-111111-1-1-1-1-111111-1-1
χ1311111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-11111-1-1-1-1-1-11111-1-111111-1-1-1-11-1-1111-1-1-1111-1-1-1-111-1-11-11
χ1411111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-111-11111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1-1-111-1111-1-111-1-111-11-1
χ1511111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-11-1-111-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-11-1-1-111-1-11111-11-1
χ1611111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-11-1-111-11111-1-1-1-1-1-1111111-1-1-1-1-11111-111-1-1-1111-1-1-11111-1-1-1-11-11
χ17222222-2-222222222-20022222222222-2-2-2-2-20000-22200000-200-2-2-2-200000000-2200-222002200000000-200-200000000000
χ18222222-2-222222222-20022222222222-2-2-2-2-20000-2-2-200000-200-2-2-2-2000000002-2002-2-200-2-200000000200200000000000
χ19222222-2-2222222-22200-2-2-2-222-2-2-2-22-222-2-20000-22200000200-2-222000000002-200-22200-2-200000000200-200000000000
χ20222222-2-2222222-22200-2-2-2-222-2-2-2-22-222-2-20000-2-2-200000200-2-22200000000-22002-2-2002200000000-200200000000000
χ2122222-122-1222-1-12-122222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122002-1-100-1-120200000-1-1-1-1-1-1000000000
χ2222222-122-1222-1-12-122222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2110011-20-200000111111000000000
χ2322222-122-1222-1-12-12-2-222-1-1-1-1-1-1-1-1-1222-1-11111222-2-2-2-2-2-111-1-1-1-11111111122002-1-100-1-1-20-200000-111-111000000000
χ2422222-122-1222-1-12-12-2-222-1-1-1-1-1-1-1-1-1222-1-111112-2-2-2-2-2-2-2-111-1-1-1-111111111-2-200-2110011202000001-1-11-1-1000000000
χ2522222-122-1222-1-1-2-1-222-2-211-1-11111-12-2-2-1-1-1-1-1-1222-222-2-2111-1-111-1-1-1-11111-2-2002-1-10011-20200000111-1-1-1000000000
χ2622222-122-1222-1-1-2-1-222-2-211-1-11111-12-2-2-1-1-1-1-1-12-2-2-222-2-2111-1-111-1-1-1-111112200-21100-1-120-200000-1-1-1111000000000
χ2722222-122-1222-1-1-2-1-2-2-2-2-211-1-11111-12-2-2-1-111112222-2-2221-1-1-1-1111111-1-1-1-1-2-2002-1-1001120-2000001-1-1-111000000000
χ2822222-122-1222-1-1-2-1-2-2-2-2-211-1-11111-12-2-2-1-111112-2-22-2-2221-1-1-1-1111111-1-1-1-12200-21100-1-1-20200000-1111-1-1000000000
χ2922222-1-2-2-1222-1-12-1-20022-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-222000001−i3i31111−i3−i3i3i3−i3−i3i3i3-2200-2-1-100-1-1000000001−i3i31−i3i3000000000
χ3022222-1-2-2-1222-1-12-1-20022-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-2-2-2000001−i3i31111−i3−i3i3i3−i3−i3i3i32-200211001100000000-1i3−i3-1i3−i3000000000
χ3122222-1-2-2-1222-1-12-1-20022-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-222000001i3−i31111i3i3−i3−i3i3i3−i3−i3-2200-2-1-100-1-1000000001i3−i31i3−i3000000000
χ3222222-1-2-2-1222-1-12-1-20022-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-2-2-2000001i3−i31111i3i3−i3−i3i3i3−i3−i32-200211001100000000-1−i3i3-1−i3i3000000000
χ3322222-1-2-2-1222-1-1-2-1200-2-211-1-11111-1-22211−i3−i3i3i3-22200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-200-2-1-1001100000000-1i3−i31−i3i3000000000
χ3422222-1-2-2-1222-1-1-2-1200-2-211-1-11111-1-22211−i3−i3i3i3-2-2-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-220021100-1-1000000001−i3i3-1i3−i3000000000
χ3522222-1-2-2-1222-1-1-2-1200-2-211-1-11111-1-22211i3i3−i3−i3-22200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-200-2-1-1001100000000-1−i3i31i3−i3000000000
χ3622222-1-2-2-1222-1-1-2-1200-2-211-1-11111-1-22211i3i3−i3−i3-2-2-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-220021100-1-1000000001i3−i3-1−i3i3000000000
χ372222-12222-1-1-1222-1222-1-122-1-1-1-1-1-1-1-1-1-1222222-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1002200022000202-1-1-1-1000000-1-1-1-100000
χ382222-12222-1-1-1222-1222-1-122-1-1-1-1-1-1-1-1-1-1222222-1002-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000-2-2000-20-21111000000111100000
χ392222-12222-1-1-1222-12-2-2-1-122-1-1-1-1-1-1-1-1-1-122-2-2-2-2-100-211112-2-2-1-1-1-1111111110022000-2-200020-2-1-1-1-1000000111100000
χ402222-12222-1-1-1222-12-2-2-1-122-1-1-1-1-1-1-1-1-1-122-2-2-2-2-100-211112-2-2-1-1-1-11111111100-2-200022000-2021111000000-1-1-1-100000
χ412222-12222-1-1-122-2-1-22211-2-2-1-11111-1-111222222-100-2-1-111-2-2-2-1-111-1-1-1-11111002200022000-20-2-1-111000000-1-11100000
χ422222-12222-1-1-122-2-1-22211-2-2-1-11111-1-111222222-100-2-1-111-2-2-2-1-111-1-1-1-1111100-2-2000-2-200020211-1-100000011-1-100000
χ432222-12222-1-1-122-2-1-2-2-211-2-2-1-11111-1-11122-2-2-2-2-100211-1-1-222-1-1111111-1-1-1-10022000-2-2000-202-1-11100000011-1-100000
χ442222-12222-1-1-122-2-1-2-2-211-2-2-1-11111-1-11122-2-2-2-2-100211-1-1-222-1-1111111-1-1-1-100-2-20002200020-211-1-1000000-1-11100000
χ452-2-22222-2-22-2-2-220202-20000-2-2000022002-22-22-2-20002-2000002-2002-22-20000002i−2i0002i−2i0000002i−2i000000002i−2i0000000
χ462-2-22222-2-22-2-2-220202-20000-2-2000022002-22-22-2-20002-2000002-2002-22-2000000−2i2i000−2i2i000000−2i2i00000000−2i2i0000000
χ472-2-22222-2-22-2-2-22020-220000-2-2000022002-2-22-22-2000-22000002-200-22-220000002i−2i000−2i2i0000002i−2i00000000−2i2i0000000
χ482-2-22222-2-22-2-2-22020-220000-2-2000022002-2-22-22-2000-22000002-200-22-22000000−2i2i0002i−2i000000−2i2i000000002i−2i0000000
χ492-2-22-122-2-2-111-220-102-2−i3i30011−i3−i3i3i3-1-1−i3i32-22-22-21000-11−i3i3000-11−i3i3-11-11−i3i3−i3i3002i−2i0002i−2i000000−ii3−3000000−ii3−300000
χ502-2-22-122-2-2-111-220-102-2−i3i30011−i3−i3i3i3-1-1−i3i32-22-22-21000-11−i3i3000-11−i3i3-11-11−i3i3−i3i300−2i2i000−2i2i000000i−i−33000000i−i−3300000
χ512-2-22-122-2-2-111-220-102-2i3−i30011i3i3−i3−i3-1-1i3−i32-22-22-21000-11i3−i3000-11i3−i3-11-11i3−i3i3−i3002i−2i0002i−2i000000−ii−33000000−ii−3300000
χ522-2-22-122-2-2-111-220-102-2i3−i30011i3i3−i3−i3-1-1i3−i32-22-22-21000-11i3−i3000-11i3−i3-11-11i3−i3i3−i300−2i2i000−2i2i000000i−i3−3000000i−i3−300000
χ532-2-22-122-2-2-111-220-10-22−i3i30011−i3−i3i3i3-1-1−i3i32-2-22-2210001-1i3−i3000-11−i3i31-11-1i3−i3i3−i3002i−2i000−2i2i000000−ii3−3000000i−i−3300000
χ542-2-22-122-2-2-111-220-10-22−i3i30011−i3−i3i3i3-1-1−i3i32-2-22-2210001-1i3−i3000-11−i3i31-11-1i3−i3i3−i300−2i2i0002i−2i000000i−i−33000000−ii3−300000
χ552-2-22-122-2-2-111-220-10-22i3−i30011i3i3−i3−i3-1-1i3−i32-2-22-2210001-1−i3i3000-11i3−i31-11-1−i3i3−i3i3002i−2i000−2i2i000000−ii−33000000i−i3−300000
χ562-2-22-122-2-2-111-220-10-22i3−i30011i3i3−i3−i3-1-1i3−i32-2-22-2210001-1−i3i3000-11i3−i31-11-1−i3i3−i3i300−2i2i0002i−2i000000i−i3−3000000−ii−3300000
χ574444-24-4-44-2-2-2444-2-400-2-244-2-2-2-2-2-2-2222-4-4000020000000-4002222000000000000000000000000000000000000000000
χ584444-24-4-44-2-2-244-4-240022-4-4-2-22222-22-2-2-4-400002000000040022-2-2000000000000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-2414-4-4-2-2-2-21111111-2-2-2-2-22222-200-42222-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-41-444222211-1-1-1-11-222-2-2-2-2-2-2-200-4-2-22222211-1-11111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-41-4-4-4222211-1-1-1-11-222-2-22222-200422-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-241-400-2-2-2-2111111122222−2i3−2i32i32i3200000002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-241-400-2-2-2-21111111222222i32i3−2i3−2i32000000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2-41400222211-1-1-1-112-2-222−2i3−2i32i32i320000000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2-41400222211-1-1-1-112-2-2222i32i3−2i3−2i320000000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-44400-4-44-44-40400000004-40000-4000000000000000000000000000000000000000000000000000000000000022−22000
χ6844-4-44400-4-44-44-40400000004-40000-40000000000000000000000000000000000000000000000000000000000000−2222000
χ694-44-444004-4-44-4-4040000000-440000-400000000004-400000000000000000000000004-4000000000000000000000000000
χ704-44-444004-4-44-4-4040000000-440000-40000000000-440000000000000000000000000-44000000000000000000000000000
χ714-44-44-200-2-4-44220-200000−2i32i32-2−2i32i3−2i32i3200000000004-40000000000000000000000000-2200−2i32i300000000000000000000000
χ724-44-44-200-2-4-44220-200000−2i32i32-2−2i32i3−2i32i320000000000-4400000000000000000000000002-2002i3−2i300000000000000000000000
χ734-44-44-200-2-4-44220-2000002i3−2i32-22i3−2i32i3−2i3200000000004-40000000000000000000000000-22002i3−2i300000000000000000000000
χ744-44-44-200-2-4-44220-2000002i3−2i32-22i3−2i32i3−2i320000000000-4400000000000000000000000002-200−2i32i300000000000000000000000
χ754-4-4444-44-44-4-4-44040000000-4-400004-400-44000040000000000-4400000000000000000000000000000000000000000000
χ764-4-444-24-424-4-42-20-204-40000220000-2400-22-22-22-40004-400000-2200-22-2200000000000000000000000000000000000000
χ774-4-444-24-424-4-42-20-20-440000220000-2400-222-22-2-4000-4400000-22002-22-200000000000000000000000000000000000000
χ784-4-444-2-4424-4-42-20-20000000220000-2-4002-2−2i32i32i3−2i3400000000002-200−2i32i32i3−2i300000000000000000000000000000000000000
χ794-4-444-2-4424-4-42-20-20000000220000-2-4002-22i3−2i3−2i32i3400000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000
χ804-4-44-24-44-4-222-440-2000−2i32i30022−2i3−2i32i32i3-222i3−2i3-440000-200000000002-22i3−2i3000000000000000000000000000000000000000000
χ814-4-44-24-44-4-222-440-20002i3−2i300222i32i3−2i3−2i3-22−2i32i3-440000-200000000002-2−2i32i3000000000000000000000000000000000000000000
χ824-4-44-2-24-42-2222-20104-4−2i32i300-1-1i3i3−i3−i31-2−2i32i3-22-22-222000-22−2i32i30001-1i3−i31-11-1i3−i3i3−i30000000000000000000000000000000000
χ834-4-44-2-24-42-2222-20104-42i3−2i300-1-1−i3−i3i3i31-22i3−2i3-22-22-222000-222i3−2i30001-1−i3i31-11-1−i3i3−i3i30000000000000000000000000000000000
χ844-4-44-2-24-42-2222-2010-44−2i32i300-1-1i3i3−i3−i31-2−2i32i3-222-22-220002-22i3−2i30001-1i3−i3-11-11−i3i3−i3i30000000000000000000000000000000000
χ854-4-44-2-24-42-2222-2010-442i3−2i300-1-1−i3−i3i3i31-22i3−2i3-222-22-220002-2−2i32i30001-1−i3i3-11-11i3−i3i3−i30000000000000000000000000000000000
χ864-4-44-2-2-442-2222-201000−2i32i300-1-1i3i3−i3−i3122i3−2i32-2−2i32i32i3−2i3-20000000000-11−i3i3i3−i3−i3i3-333-30000000000000000000000000000000000
χ874-4-44-2-2-442-2222-201000−2i32i300-1-1i3i3−i3−i3122i3−2i32-22i3−2i3−2i32i3-20000000000-11−i3i3−i3i3i3−i33-3-330000000000000000000000000000000000
χ884-4-44-2-2-442-2222-2010002i3−2i300-1-1−i3−i3i3i312−2i32i32-2−2i32i32i3−2i3-20000000000-11i3−i3i3−i3−i3i33-3-330000000000000000000000000000000000
χ894-4-44-2-2-442-2222-2010002i3−2i300-1-1−i3−i3i3i312−2i32i32-22i3−2i3−2i32i3-20000000000-11i3−i3−i3i3i3−i3-333-30000000000000000000000000000000000
χ9088-8-88-4004-88-8-440-40000000-4400004000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4800-84-448-80-40000000-4400004000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-40044-44-440200000002-26-6-66-2000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-40044-44-440200000002-2-666-6-2000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4800844-4-8-80-400000004-400004000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-400-444-4440200000−4i34i3-222i3−2i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400-444-44402000004i3−4i3-22−2i32i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000

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