Finite Group Databasebeta

← Group #11864199

Character table — Group #11864199

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order1222334466666622366612121212222244466668121212122424242424242424224446666121266121212444466881212121212242424242441248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-111-1-111-1-1-1-1111-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-111111111111111111111-1-111-111-1-11111111-1-11-1-1-11-11111-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-11111-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-11-1-1-11-1-111-111-1-1-1-1-1111
χ5111111111111111111111111-1-111-1-111111111111111111111-1-11-1-111-1-111111-1-1-1111-11-1-1-1-1111-1-1-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-1-1-1-11-1111-111-1-11-1-111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-111111111-1-1
χ911111111111111-1-1111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-111-1-11-1-1-1-11-1-111-1
χ1011111111111111-1-111111111111111-1-1-1-1-11-1-11111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11
χ1111111111111111-1-11111111111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1111-1-11-111-1111-1-1-111-1-1-111-1-11
χ1211111111111111-1-11111111111-1-111-1-1-1-1-11-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1
χ1311111111111111-1-111111111-1-111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111-1-1-11-1-11-1-1-1111-1-111-1111-11
χ1411111111111111-1-111111111-1-111-1-1-1-1-1-1-11-1-11111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-111-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-11111-1-111-111111-1-1-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-11-11
χ17222222-2-2222222002222-2-2-2-22222-2-200000000-2-2000000000000-22222-2-200000-2-20000000000-20000200000
χ18222222-2-2222222002222-2-2-2-222-2-2-2-200000000-2-2000000000000222-2-2-2-20000022000000000020000-200000
χ19222222-2-2222222002222-2-2-2-2-2-2222200000000-2-2000000000000-2-2-2222200000220000000000-20000-200000
χ20222222-2-2222222002222-2-2-2-2-2-2-2-22200000000-2-20000000000002-2-2-2-22200000-2-2000000000020000200000
χ2122222-1222-1-122-122-1-1-1-12-1-12002200222-1-1222-1-1-1-122-1-1-1-12200200-1-100-1-1-1-1-10002-1-1020000-1-1-100000-100
χ2222222-1222-1-122-122-1-1-1-12-1-12002200-222-1-1-2-2-2-1-111-2-211112200200-1-100-1-1111000-2-1-10-20000-11100000100
χ2322222-1222-1-122-122-1-1-1-12-1-1200-2-200222-1-1222-1-1-1-122-1-1-1-1-2-200-2001100-1-1-1-1-1000-2110-2000011100000100
χ2422222-1222-1-122-122-1-1-1-12-1-1200-2-200-222-1-1-2-2-2-1-111-2-21111-2-200-2001100-1-11110002110200001-1-100000-100
χ2522222-1222-1-122-1-2-2-1-1-1-12-1-120022002-2-211-222-1-111-2-21111-2-200200-1-10011-1-1-10002110-20000-11100000-100
χ2622222-1222-1-122-1-2-2-1-1-1-12-1-12002200-2-2-2112-2-2-1-1-1-122-1-1-1-1-2-200200-1-10011111000-211020000-1-1-100000100
χ2722222-1222-1-122-1-2-2-1-1-1-12-1-1200-2-2002-2-211-222-1-111-2-211112200-200110011-1-1-1000-2-1-10200001-1-100000100
χ2822222-1222-1-122-1-2-2-1-1-1-12-1-1200-2-200-2-2-2112-2-2-1-1-1-122-1-1-1-12200-2001100111110002-1-10-2000011100000-100
χ292222-1222-122-1-1222-1-1-1-1-122-12200222-1-1222-1-1-1-122-1-1-1-1-1-100220-1-100-1-1-1-12-1-100200020-1-1-1-1000-1-1000000
χ302222-1222-122-1-1222-1-1-1-1-122-1220022-2-1-122-211-1-1-2-211111100220-1-100-1-1-1-1-21100-2000-2011-1-100011000000
χ312222-1222-122-1-1222-1-1-1-1-122-1-2-200-2-22-1-1222-1-1-1-122-1-1-1-1-1-100-2-20110011-1-12-1-100-2000-20111100011000000
χ322222-1222-122-1-1222-1-1-1-1-122-1-2-200-2-2-2-1-122-211-1-1-2-211111100-2-20110011-1-1-21100200020-1-111000-1-1000000
χ332222-1222-122-1-12-2-2-1-1-1-1-122-1220022211-2-2-2-1-1-1-1-2-211111100-2-20-1-100-1-1112-1-1002000-20-1-11100011000000
χ342222-1222-122-1-12-2-2-1-1-1-1-122-1220022-211-2-2211-1-122-1-1-1-1-1-100-2-20-1-100-1-111-21100-2000201111000-1-1000000
χ352222-1222-122-1-12-2-2-1-1-1-1-122-1-2-200-2-2211-2-2-2-1-1-1-1-2-211111100220110011112-1-100-20002011-1-1000-1-1000000
χ362222-1222-122-1-12-2-2-1-1-1-1-122-1-2-200-2-2-211-2-2211-1-122-1-1-1-1-1-10022011001111-211002000-20-1-1-1-100011000000
χ372-2-22222-2-2-2-2-222002-22-2-22-222-2002-200000000-22000000002-20002-2002-20000000002-20000000000002-2000
χ382-2-22222-2-2-2-2-222002-22-2-22-222-2002-200000000-2200000000-220002-2002-2000000000-22000000000000-22000
χ392-2-22222-2-2-2-2-222002-22-2-22-22-2200-2200000000-22000000002-2000-2200-220000000002-2000000000000-22000
χ402-2-22222-2-2-2-2-222002-22-2-22-22-2200-2200000000-2200000000-22000-2200-22000000000-220000000000002-2000
χ412-2-2222-22-2-2-2-2222-22-22-22-22-22-200-2202-22-20002-200000000002-202-200-222-200000000000002-200000000000
χ422-2-2222-22-2-2-2-2222-22-22-22-22-2-22002-202-22-20002-20000000000-220-22002-22-20000000000000-2200000000000
χ432-2-2222-22-2-2-2-222-222-22-22-22-22-200-220-22-220002-20000000000-2202-200-22-220000000000000-2200000000000
χ442-2-2222-22-2-2-2-222-222-22-22-22-2-22002-20-22-220002-200000000002-20-22002-2-2200000000000002-200000000000
χ452-2-22-12-221-2-21-122-2-11-11-1-2212-200-220-112-203−3-11003−333−3−3002-20-11001-1-1103−3000000003−3-110003−3000000
χ462-2-22-12-221-2-21-122-2-11-11-1-2212-200-220-112-20−33-1100−33−3−333002-20-11001-1-110−3300000000−33-11000−33000000
χ472-2-22-12-221-2-21-122-2-11-11-1-221-22002-20-112-203−3-11003−333−3−300-2201-100-11-1103−300000000−331-1000−33000000
χ482-2-22-12-221-2-21-122-2-11-11-1-221-22002-20-112-20−33-1100−33−3−33300-2201-100-11-110−33000000003−31-10003−3000000
χ492-2-22-12-221-2-21-12-22-11-11-1-2212-200-2201-1-2203−3-1100−33−3−33300-220-11001-11-103−3000000003−31-1000−33000000
χ502-2-22-12-221-2-21-12-22-11-11-1-2212-200-2201-1-220−33-11003−333−3−300-220-11001-11-10−3300000000−331-10003−3000000
χ512-2-22-12-221-2-21-12-22-11-11-1-221-22002-201-1-2203−3-1100−33−3−333002-201-100-111-103−300000000−33-110003−3000000
χ522-2-22-12-221-2-21-12-22-11-11-1-221-22002-201-1-220−33-11003−333−3−3002-201-100-111-10−33000000003−3-11000−33000000
χ5344444-2-4-44-2-244-200-2-2-2-2-422-40044000000000022000000000000-400-2-2000000000000000000020000000000
χ5444444-2-4-44-2-244-200-2-2-2-2-422-400-4-4000000000022000000000000400220000000000000000000-20000000000
χ554444-24-4-4-244-2-2400-2-2-2-22-4-424400-4-400000000220000000000000-2-200220000000000000000000000000000
χ564444-24-4-4-244-2-2400-2-2-2-22-4-42-4-40044000000002200000000000002200-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-20000004-2-2-2-24-2-211-2-2-2-211110000000000011-21100000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-2000000-4-2-2-2-2-422112222-1-1-1-100000000000112-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200000042222-4-2-2112222-1-1-1-100000000000-1-1-21100000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000000-4222242211-2-2-2-2111100000000000-1-12-1-100000000000000000000000
χ6144-4-4440044-4-4-4-40044-4-40000004-40000000000000000000000000004-4000000000000000000000000000000
χ6244-4-4440044-4-4-4-40044-4-4000000-44000000000000000000000000000-44000000000000000000000000000000
χ6344-4-44-2004-22-4-4200-2-2220000004-40000000000006−6006−66−60000000-22000000000000000000006−600000000
χ6444-4-44-2004-22-4-4200-2-2220000004-4000000000000−6600−66−660000000-2200000000000000000000−6600000000
χ6544-4-44-2004-22-4-4200-2-222000000-440000000000006−6006−66−600000002-200000000000000000000−6600000000
χ6644-4-44-2004-22-4-4200-2-222000000-44000000000000−6600−66−6600000002-2000000000000000000006−600000000
χ674-44-44400-4-444-4-4004-4-44000000000000000000000000000000000000000000004i−4i000000000000000000000
χ684-44-44400-4-444-4-4004-4-4400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ694-4-444-24-4-422-44-200-22-22-4-224000000000000002-2000000004-4000000000000000000-2200000000000000000
χ704-4-444-24-4-422-44-200-22-22-4-224000000000000002-200000000-440000000000000000002-200000000000000000
χ714-4-444-2-44-422-44-24-4-22-2242-2-400000004-4-22000-220000000000000000000-2200000000000000000000000000
χ724-4-444-2-44-422-44-2-44-22-2242-2-40000000-442-2000-2200000000000000000002-200000000000000000000000000
χ734-4-44-244-42-4-42-2400-22-2224-4-24-4004-4000000002-20000000000000-2200-220000000000000000000000000000
χ744-4-44-244-42-4-42-2400-22-2224-4-2-4400-44000000002-200000000000002-2002-20000000000000000000000000000
χ754-4-44-2-2-442222-2-24-41-11-1-22-220000000-22-22023−231-10023−23−3−333000000000001-10−3300000000000000000000000
χ764-4-44-2-2-442222-2-24-41-11-1-22-220000000-22-220−23231-100−232333−3−3000000000001-103−300000000000000000000000
χ774-4-44-2-2-442222-2-2-441-11-1-22-2200000002-22-2023−231-100−232333−3−300000000000-110−3300000000000000000000000
χ784-4-44-2-2-442222-2-2-441-11-1-22-2200000002-22-20−23231-10023−23−3−33300000000000-1103−300000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4002222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4800-48-844-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444440022-2-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444440022-2-200000000000000000000−2626006−66−6000000000000000000000000000000000000000
χ838-88-88-400-84-48-8400-444-40000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-48004-88-44-800-444-40000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-4-444002-2-2200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ868-88-8-4-40044-4-444002-2-22000000000000000000000000−323232−32000000000000000000000000000000000000000
χ878-8-88-4-48-84444-4-4002-22-24-44-400000000000000-2200000000000000000000000000000000000000000000000

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