Finite Group Databasebeta

← Group #11878663

Character table — Group #11878663

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order12223344666666366688121212122424242444444424121212122424242424244888812121212121224242424666612121222222466122424488661222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111-1-1-11111-1-11111111111111-1-11-1-11-1-1-1-1-1-1-1-11-11-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11-111
χ51111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111111-1-1-111-111111-1-1-1-11-1-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111-1-1-11-1111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-11111-1-1-1-11-1-11-1-111-11-1
χ10111111111111111111-1-11111-1-1-1-1111111-111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111111-1-11-1-1-1-11-11
χ11111111111111111111-1-11111-1-1-1-11111-1-11-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-11-11-111-111-1111-1-1-11
χ12111111111111111111-1-11111-1-1-1-11111-1-1-111111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-11-11-1-1-111-111-1111-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-11-1-111-1-111-1-111111111-1-1-1-1-1-11-11-1-11-1-1-111-111-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-1111-1-11-11-1111-1-1-1111-1-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-111-1-11111-1111-1-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1111-1-111-1-11
χ17222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-200002222-2-200000000000-2-2000000-20020000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002000022-2-2-2-20000000000022000000200-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-20000-2-222220000000000022000000-200-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-200000020000-2-2-2-22200000000000-2-200000020020000000
χ2122222-1222-12-1-12-1-1-1-122-122-1222200002222-1-1-1-1-1-1-1-1-1-12220000-1-10000002-1-1-12-1-1000220-1-1-1-1-10000-1000
χ2222222-1222-12-1-12-1-1-1-122-122-12222000022-2-211-1-1-1-1-1-1-1-12220000-1-1000000-2111-211000-2-2011-1-1-100001000
χ2322222-1222-12-1-12-1-1-1-122-122-122220000-2-222-1-1-1-1-1-1-1-1-1-1-2-2-20000110000002-1-1-12-1-1000-2-201111100001000
χ2422222-1222-12-1-12-1-1-1-122-122-122220000-2-2-2-211-1-1-1-1-1-1-1-1-2-2-2000011000000-2111-211000220-1-11110000-1000
χ2522222-1222-12-1-12-1-1-1-1-2-2-122-1-2-2-2-20000222-211-1-11111112-2-20000-1-10000002-1-1-1-2110002-2011-1110000-1000
χ2622222-1222-12-1-12-1-1-1-1-2-2-122-1-2-2-2-2000022-22-1-1-1-11111112-2-20000-1-1000000-21112-1-1000-220-1-1-11100001000
χ2722222-1222-12-1-12-1-1-1-1-2-2-122-1-2-2-2-20000-2-22-211-1-1111111-2220000110000002-1-1-1-211000-220-1-11-1-100001000
χ2822222-1222-12-1-12-1-1-1-1-2-2-122-1-2-2-2-20000-2-2-22-1-1-1-1111111-222000011000000-21112-1-10002-20111-1-10000-1000
χ292222-1222-12-122-1-1-1-1-1222-1-12-1-1-1-12222002222-1-122-1-1-1-100022-1-100-1-1-1-1-1-1-12-1-1-1-1-100200200000000-10-100
χ302222-1222-12-122-1-1-1-1-1222-1-12-1-1-1-1222200-2-2-2-2-1-122-1-1-1-100022-1-100-1-1-1-1-1-11-21111100-200-20000000010100
χ312222-1222-12-122-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-2002222-1-122-1-1-1-1000-2-21100111111-12-1-1-1-1-100-200-20000000010100
χ322222-1222-12-122-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-200-2-2-2-2-1-122-1-1-1-1000-2-211001111111-21111100200200000000-10-100
χ332222-1222-12-122-1-1-1-1-1-2-22-1-1211112222002-2-2-2-1-1-2-21111000-2-2-1-100-1-11111-12-1-111100200-200000000-10100
χ342222-1222-12-122-1-1-1-1-1-2-22-1-121111222200-2222-1-1-2-21111000-2-2-1-100-1-111111-211-1-1-100-20020000000010-100
χ352222-1222-12-122-1-1-1-1-1-2-22-1-121111-2-2-2-2002-2-2-2-1-1-2-2111100022110011-1-1-1-1-12-1-111100-20020000000010-100
χ362222-1222-12-122-1-1-1-1-1-2-22-1-121111-2-2-2-200-2222-1-1-2-2111100022110011-1-1-1-11-211-1-1-100200-200000000-10100
χ372-2-222200-2-2-2-2222-2-222−2000022−2−2002-22-20000002−222−2−202−22−2002-22-222−2−200000002-200000002−202−200000
χ382-2-222200-2-2-2-2222-2-222−2000022−2−2002-2-220000002−222−2−20−222−200-222-222−2−20000000-220000000−220−2200000
χ392-2-222200-2-2-2-2222-2-222−2000022−2−200-222-20000002−222−2−202−2−22002-2-22−2−2220000000-2200000002−20−2200000
χ402-2-222200-2-2-2-2222-2-222−2000022−2−200-22-220000002−222−2−20−22−2200-22-22−2−22200000002-20000000−2202−200000
χ412-2-222200-2-2-2-2222-2-22−220000−2−222002-22-2000000−22−2−2220−22−22002-22-2−2−22200000002-20000000−220−2200000
χ422-2-222200-2-2-2-2222-2-22−220000−2−222002-2-22000000−22−2−22202−2−2200-222-2−2−2220000000-2200000002−202−200000
χ432-2-222200-2-2-2-2222-2-22−220000−2−22200-222-2000000−22−2−2220−222−2002-2-2222−2−20000000-220000000−2202−200000
χ442-2-222200-2-2-2-2222-2-22−220000−2−22200-22-22000000−22−2−22202−22−200-22-2222−2−200000002-200000002−20−2200000
χ4544444-2-4-44-24-2-24-2-2-2-2002-4-420000000044000022000000-4000000-2-200000000000000000000020000000000
χ4644444-2-4-44-24-2-24-2-2-2-2002-4-4200000000-4-4000022000000400000022000000000000000000000-20000000000
χ474444-24-4-4-24-244-2-2-2-2-200-422-4000044-4-40000002200000000000-2-20022000000000000000000000000000000
χ484444-24-4-4-24-244-2-2-2-2-200-422-40000-4-44400000022000000000002200-2-2000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-2-211-2110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-2111100000000000000022-1-12-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4221122-1-1-1-1000000000000000-2-2112-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44-2-21122-1-1-1-100000000000000022-1-1-2110000000000000000000
χ5344-4-44400-4-444-4-444-4-400000000004-40000000000000000000004-40000000000000000000000000000000000
χ5444-4-44400-4-444-4-444-4-40000000000-44000000000000000000000-440000000000000000000000000000000000
χ5544-4-4-24002-4-24-42-2-2220000006−66−64-40000000000006−66−600000-2200006−66−600000000000000000000000000
χ5644-4-4-24002-4-24-42-2-2220000006−66−6-440000000000006−66−6000002-20000−66−6600000000000000000000000000
χ5744-4-4-24002-4-24-42-2-222000000−66−664-4000000000000−66−6600000-220000−66−6600000000000000000000000000
χ5844-4-4-24002-4-24-42-2-222000000−66−66-44000000000000−66−66000002-200006−66−600000000000000000000000000
χ594-44-4444-444-4-4-4-44-44-400-44-4400000000000000-4400000000000000000000000000000000000000000000000
χ604-44-444-4444-4-4-4-44-44-4004-44-4000000000000004-400000000000000000000000000000000000000000000000
χ614-44-44-24-44-2-422-4-22-220024-4-2000000000000002-20000000000000000000000000000000000−2i32i300000000000
χ624-44-44-24-44-2-422-4-22-220024-4-2000000000000002-200000000000000000000000000000000002i3−2i300000000000
χ634-44-44-2-444-2-422-4-22-2200-2-44200000000000023−23-220000000000000000000000000023−230000000000000000000
χ644-44-44-2-444-2-422-4-22-2200-2-442000000000000−2323-2200000000000000000000000000−23230000000000000000000
χ654-44-4-244-4-242-4-42-22-2200-4-224000000000000002-20000000000000000023−23−232300000000000000000000000000
χ664-44-4-244-4-242-4-42-22-2200-4-224000000000000002-200000000000000000−232323−2300000000000000000000000000
χ674-44-4-24-44-242-4-42-22-220042-2-423−23−23230000000000-220023−23−232300000000000000000000000000000000000000000
χ684-44-4-24-44-242-4-42-22-220042-2-4−232323−230000000000-2200−232323−2300000000000000000000000000000000000000000
χ694-44-4-2-2-44-2-222221-11-100-22-2223−23−23230000000023−231-100−333−3000000000000000003-30−330000000000000000000
χ704-44-4-2-2-44-2-222221-11-100-22-2223−23−232300000000−23231-100−333−300000000000000000-3303−30000000000000000000
χ714-44-4-2-2-44-2-222221-11-100-22-22−232323−230000000023−231-1003−3−3300000000000000000-330−330000000000000000000
χ724-44-4-2-2-44-2-222221-11-100-22-22−232323−2300000000−23231-1003−3−33000000000000000003-303−30000000000000000000
χ734-4-444-200-42-42-24-222-222−2200002222−22−2200004-4000000−22−2−222022−220000-220000000000000000000000−2200000000
χ744-4-444-200-42-42-24-222-222−2200002222−22−220000-44000000−22−2−2220−222200002-200000000000000000000002−200000000
χ754-4-444-200-42-42-24-222-2−22220000−22−22222200004-40000002−222−2−20−22220000-2200000000000000000000002−200000000
χ764-4-444-200-42-42-24-222-2−22220000−22−2222220000-440000002−222−2−2022−2200002-20000000000000000000000−2200000000
χ774-4-44-24002-42-44-2-222-222−220000−2−222004-40000000022−22−2−22200022−220000-22−2−22200000000000000000000000000
χ784-4-44-24002-42-44-2-222-222−220000−2−22200-440000000022−22−2−222000−222200002-222−2−200000000000000000000000000
χ794-4-44-24002-42-44-2-222-2−2222000022−2−2004-400000000−222222−2−2000−22220000-2222−2−200000000000000000000000000
χ804-4-44-24002-42-44-2-222-2−2222000022−2−200-4400000000−222222−2−200022−2200002-2−2−22200000000000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-88-400-848-44-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-40044-4-44422-2-200000026−2626−2600000000000000−66−6600000000000000000000000000000000000000000
χ8488-8-8-4-40044-4-44422-2-2000000−2626−2626000000000000006−66−600000000000000000000000000000000000000000
χ858-88-8-4-48-8-4-444442-22-2004-44-400000000000000-2200000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-42-2-2242−420000−22−222222000000000000−222222−2−200000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-42-2-22−424200002222−22−2200000000000022−22−2−22200000000000000000000000000000000000000000

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