Finite Group Databasebeta

← Group #11884289

Character table — Group #11884289

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order12223344666666223446666666121212121212121212121212121244466666612121212121212121212121212222246688121224466666812121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1111-1-1111-11-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-111-1-1-111-1-1-11-111-1-1-1111-1-1-11111-1-1-1-1-1
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
χ511111111111111111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-11-111-1-1-11111-1-11111-1-1-1-1-111-111-1-1111-1-1
χ611111111111111111-1-11111111-1-1-1-1-1-111-1-1-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-111-1-11-1-111111-1-1-111-1-1-111
χ711111111111111111-1-11111111-1-1-1-1-1-111-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-111111111-1-11-1-111-111-1-1-1-1-1111-1-1-1-1-111
χ811111111111111111-1-11111111-1-1-1-1-1-111-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111111-1-11-1-111111-1-1
χ911111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111111-1-111-11-1111-1-1-111-1-11-1-1-1-1-1-111-1
χ1011111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11111111-1-1-1-1-11-1-11-1-1-1-11111111-1-11
χ1111111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111111-111-11111-1-1-1-1-111-1-11
χ1211111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1111-1-111-11111-1-111-1
χ1311111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1111111-1-111111-111-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-111-1-11-11
χ1411111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1111111-1-1-1111-111-1-1-111-1-111-11-1
χ1511111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1111111-1-11111-1111111-1-1-1-1-1-1111-1-1-11-1-1111-1-11111-11-1
χ1611111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1111111-1-11111-11-1-111111-1-1-111-1-1-1-1-1-11111111-1-1-1-11-11
χ17222222-2-22222220022-200002222222-2-2-2-22222-2-2220000000-20000-2-2-2-20000-2200-222002200000-20000000-2000000000
χ18222222-2-22222220022-200002222222-2-2-2-22222-2-2-2-20000000-20000-2-2-2-200002-2002-2-200-2-200000200000002000000000
χ19222222-2-2222222002-220000222-2-2-2-222-2-2-2-2-2-2-2-222000000020000-2-2220000-2-2002-2-2002200000-200000002000000000
χ20222222-2-2222222002-220000222-2-2-2-222-2-2-2-2-2-2-2-2-2-2000000020000-2-22200002200-22200-2-20000020000000-2000000000
χ2122222-1222-12-12-122-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-12222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122002-1-100-1-120200-1-1-1000-1-1-1000000000
χ2222222-1222-12-12-122-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-2-2222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2110011-20-200111000111000000000
χ2322222-1222-12-12-122-1-2-2-1-1-1-1-1-1-1-2-211-2-2-1-111112222-222-1-1-1-11-2-211-1-11111112-200-21100-1-1-20200-111000-1-11000000000
χ2422222-1222-12-12-122-1-2-2-1-1-1-1-1-1-1-2-211-2-2-1-1111122-2-2-222-1-1-1-11-2-211-1-1111111-22002-1-1001120-2001-1-100011-1000000000
χ2522222-1222-12-12-1-2-2-1221111-1-1-122-1-122-1-1-1-1-1-12222-2-2-21111-1-2-211-1-1-1-1111122002-1-100-1-1-20-200-11100011-1000000000
χ2622222-1222-12-12-1-2-2-1221111-1-1-122-1-122-1-1-1-1-1-122-2-2-2-2-21111-1-2-211-1-1-1-11111-2-200-2110011202001-1-1000-1-11000000000
χ2722222-1222-12-12-1-2-2-1-2-21111-1-1-1-2-211-2-2-1-1111122222-2-21111122-1-1-1-111-1-1-1-12-200-21100-1-120-200-1-1-1000111000000000
χ2822222-1222-12-12-1-2-2-1-2-21111-1-1-1-2-211-2-2-1-1111122-2-22-2-21111122-1-1-1-111-1-1-1-1-22002-1-10011-20200111000-1-1-1000000000
χ2922222-1-2-22-12-12-100-12-2−i3−i3i3i3-1-1-122-1-1-2-211-1-1-1-1-2-222000−i3−i3i3i3100−i3i31111−i3−i3i3i3-2200-2-1-100-1-1000001−i3i3000−i3i31000000000
χ3022222-1-2-22-12-12-100-12-2−i3−i3i3i3-1-1-122-1-1-2-211-1-1-1-1-2-2-2-2000−i3−i3i3i3100−i3i31111−i3−i3i3i32-200211001100000-1i3−i3000i3−i3-1000000000
χ3122222-1-2-22-12-12-100-12-2i3i3−i3−i3-1-1-122-1-1-2-211-1-1-1-1-2-222000i3i3−i3−i3100i3−i31111i3i3−i3−i3-2200-2-1-100-1-1000001i3−i3000i3−i31000000000
χ3222222-1-2-22-12-12-100-12-2i3i3−i3−i3-1-1-122-1-1-2-211-1-1-1-1-2-2-2-2000i3i3−i3−i3100i3−i31111i3i3−i3−i32-200211001100000-1−i3i3000−i3i3-1000000000
χ3322222-1-2-22-12-12-100-1-22−i3−i3i3i3-1-1-1-2-21122111111-2-222000−i3−i3i3i3-100i3−i311-1-1i3i3−i3−i3-2-20021100-1-1000001i3−i3000−i3i3-1000000000
χ3422222-1-2-22-12-12-100-1-22−i3−i3i3i3-1-1-1-2-21122111111-2-2-2-2000−i3−i3i3i3-100i3−i311-1-1i3i3−i3−i32200-2-1-1001100000-1−i3i3000i3−i31000000000
χ3522222-1-2-22-12-12-100-1-22i3i3−i3−i3-1-1-1-2-21122111111-2-222000i3i3−i3−i3-100−i3i311-1-1−i3−i3i3i3-2-20021100-1-1000001−i3i3000i3−i3-1000000000
χ3622222-1-2-22-12-12-100-1-22i3i3−i3−i3-1-1-1-2-21122111111-2-2-2-2000i3i3−i3−i3-100−i3i311-1-1−i3−i3i3i32200-2-1-1001100000-1i3−i3000−i3i31000000000
χ372222-1222-12-12-1222-1222222-1-1-1-1-122-1-122-1-1-1-1-1-1002-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100220002200020-1-10002-1-1000-1-1-1-100000
χ382222-1222-12-12-1222-1222222-1-1-1-1-122-1-122-1-1-1-1-1-1002-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100-2-2000-2-2000-2011000-211000111100000
χ392222-1222-12-12-1222-1-2-22222-1-1-111-2-211221111-1-100-2-1-1-1-1-1-1-211-2-2-1-1111111002200022000-20-1-1000-211000-1-11100000
χ402222-1222-12-12-1222-1-2-22222-1-1-111-2-211221111-1-100-2-1-1-1-1-1-1-211-2-2-1-111111100-2-2000-2-200020110002-1-100011-1-100000
χ412222-1222-12-12-12-2-2-122-2-2-2-2-1-1-1-1-122-1-122-1-1-1-1-1-100-2111111211-2-2-1-1-1-111110022000-2-200020-1-1000-2-1-1000111100000
χ422222-1222-12-12-12-2-2-122-2-2-2-2-1-1-1-1-122-1-122-1-1-1-1-1-100-2111111211-2-2-1-1-1-1111100-2-200022000-2011000211000-1-1-1-100000
χ432222-1222-12-12-12-2-2-1-2-2-2-2-2-2-1-1-111-2-211221111-1-1002111111-2-1-122-1-111-1-1-1-10022000-2-2000-20-1-100021100011-1-100000
χ442222-1222-12-12-12-2-2-1-2-2-2-2-2-2-1-1-111-2-211221111-1-1002111111-2-1-122-1-111-1-1-1-100-2-2000220002011000-2-1-1000-1-11100000
χ452-2-2222-222-2-2-2-222-22002-22-22-2-20000002-200002-20002-22-22-2000002-2000000002-20002-2000002-20000000002-20000000
χ462-2-2222-222-2-2-2-222-22002-22-22-2-20000002-200002-20002-22-22-2000002-200000000-22000-2200000-22000000000-220000000
χ472-2-2222-222-2-2-2-22-22200-22-222-2-20000002-200002-2000-22-22-22000002-2000000002-2000-22000002-2000000000-220000000
χ482-2-2222-222-2-2-2-22-22200-22-222-2-20000002-200002-2000-22-22-22000002-200000000-220002-200000-220000000002-20000000
χ492-2-22-12-22-1-21-2122-2-1002-22-2-1113−3003−32-233−3−3-11000-11-11-1103−300-113−33−33−3002-20002-200000-1100003−3000-113−300000
χ502-2-22-12-22-1-21-2122-2-1002-22-2-1113−3003−32-233−3−3-11000-11-11-1103−300-113−33−33−300-22000-22000001-10000−330001-1−3300000
χ512-2-22-12-22-1-21-2122-2-1002-22-2-111−3300−332-2−3−333-11000-11-11-110−3300-11−33−33−33002-20002-200000-110000−33000-11−3300000
χ522-2-22-12-22-1-21-2122-2-1002-22-2-111−3300−332-2−3−333-11000-11-11-110−3300-11−33−33−3300-22000-22000001-100003−30001-13−300000
χ532-2-22-12-22-1-21-212-22-100-22-22-1113−3003−32-233−3−3-110001-11-11-10−3300-113−3−33−33002-2000-2200000-1100003−30001-1−3300000
χ542-2-22-12-22-1-21-212-22-100-22-22-1113−3003−32-233−3−3-110001-11-11-10−3300-113−3−33−3300-220002-2000001-10000−33000-113−300000
χ552-2-22-12-22-1-21-212-22-100-22-22-111−3300−332-2−3−333-110001-11-11-103−300-11−333−33−3002-2000-2200000-110000−330001-13−300000
χ562-2-22-12-22-1-21-212-22-100-22-22-111−3300−332-2−3−333-110001-11-11-103−300-11−333−33−300-220002-2000001-100003−3000-11−3300000
χ574444-24-4-4-24-24-2400-24-40000-2-2-2-2-24422-4-4-2-2-2-222000000000-40000222200000000000000000000000000000000000000
χ584444-24-4-4-24-24-2400-2-440000-2-2-222-4-4-2-2-4-42222220000000004000022-2-200000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-2-21111-2-2004-2-21111-2-2-2-2-2111111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-2441-4-4-2-2-2-2111222222-2-2-1-1-1-1-2-200-4-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4-41442222111-2-2-2-2-2-2-2-21111-2-200-422-1-1-1-1-222221111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-4-41-4-42222111222222-2-2-1-1-1-1-2-200422-1-1-1-12-2-2-2-211-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20014-4−2i3−2i32i32i3111-2-2-2-2222211112200000i3i3−i3−i3200−2i32i3-1-1-1-1i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20014-42i32i3−2i3−2i3111-2-2-2-2222211112200000−i3−i3i3i32002i3−2i3-1-1-1-1−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2001-44−2i3−2i32i32i31112222-2-222-1-1-1-12200000i3i3−i3−i3-2002i3−2i3-1-111−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2001-442i32i3−2i3−2i31112222-2-222-1-1-1-12200000−i3−i3i3i3-200−2i32i3-1-111i3i3−i3−i30000000000000000000000000000000000
χ6744-4-44400-4-444-4-4004000000-4-4400000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6844-4-44400-4-444-4-4004000000-4-44000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ694-44-44400-44-4-44-4004000000-44-4000000000000004i−4i000000000000000000000000000004i−4i00000000000000000000000
χ704-44-44400-44-4-44-4004000000-44-400000000000000−4i4i00000000000000000000000000000−4i4i00000000000000000000000
χ714-44-44-200-4-2-424200-20000002-220023−23000023−2323−23004i−4i0000000000000000000000000−2i32i300−2i2i00000000000000000000000
χ724-44-44-200-4-2-424200-20000002-220023−23000023−2323−2300−4i4i00000000000000000000000002i3−2i3002i−2i00000000000000000000000
χ734-44-44-200-4-2-424200-20000002-2200−23230000−2323−2323004i−4i00000000000000000000000002i3−2i300−2i2i00000000000000000000000
χ744-44-44-200-4-2-424200-20000002-2200−23230000−2323−232300−4i4i0000000000000000000000000−2i32i3002i−2i00000000000000000000000
χ754-4-44444-44-4-4-4-440040000004-4-4000000-440000-4400000000000000-440000000000000000000000000000000000000000
χ764-4-444-24-442-42-4-200-200−2i32i32i3−2i3-2220000002-20000-4400000−2i32i32i3−2i3000002-20000000000000000000000000000000000000000
χ774-4-444-24-442-42-4-200-2002i3−2i3−2i32i3-2220000002-20000-44000002i3−2i3−2i32i3000002-20000000000000000000000000000000000000000
χ784-4-444-2-4442-42-4-24-4-200-22-22-222000000-2200004-40004-4-22-2200000-220000000000000000000000000000000000000000
χ794-4-444-2-4442-42-4-2-44-2002-22-2-222000000-2200004-4000-442-22-200000-220000000000000000000000000000000000000000
χ804-4-44-244-4-2-42-42400-2000000-22223−2300−2323-442323−23−232-2000000000000002-2−232300000000000000000000000000000000000000
χ814-4-44-244-4-2-42-42400-2000000-222−23230023−23-44−23−2323232-2000000000000002-223−2300000000000000000000000000000000000000
χ824-4-44-2-24-4-22222-200100−2i32i32i3−2i31-1-123−2300−23232-2−3−3332-200000i3−i3−i3i300000-113−3−3i3i3i−3i0000000000000000000000000000000000
χ834-4-44-2-24-4-22222-200100−2i32i32i3−2i31-1-1−23230023−232-233−3−32-200000i3−i3−i3i300000-11−333i−3i−3i3i0000000000000000000000000000000000
χ844-4-44-2-24-4-22222-2001002i3−2i3−2i32i31-1-123−2300−23232-2−3−3332-200000−i3i3i3−i300000-113−33i−3i−3i3i0000000000000000000000000000000000
χ854-4-44-2-24-4-22222-2001002i3−2i3−2i32i31-1-1−23230023−232-233−3−32-200000−i3i3i3−i300000-11−33−3i3i3i−3i0000000000000000000000000000000000
χ864-4-44-2-2-44-22222-24-4100-22-221-1-123−230023−23-22−3−333-22000-221-11-1023−23001-1−33−33−330000000000000000000000000000000000
χ874-4-44-2-2-44-22222-24-4100-22-221-1-1−232300−2323-2233−3−3-22000-221-11-10−2323001-13−33−33−30000000000000000000000000000000000
χ884-4-44-2-2-44-22222-2-441002-22-21-1-123−230023−23-22−3−333-220002-2-11-110−2323001-1−333−33−30000000000000000000000000000000000
χ894-4-44-2-2-44-22222-2-441002-22-21-1-1−232300−2323-2233−3−3-220002-2-11-11023−23001-13−3−33−330000000000000000000000000000000000
χ9088-8-88-400-848-4-8400-400000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-48004-8-484-800-400000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-40044-4-444002000000-2-22000000006-6-660000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-40044-4-444002000000-2-2200000000-666-60000000000000000000000000000000000000000000000000000000000
χ948-88-8-4800484-8-4-800-40000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-4004-444-44002000000-22-20043−430000−2323−23230000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-444-44002000000-22-200−4343000023−2323−230000000000000000000000000000000000000000000000000000000000

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