Finite Group Databasebeta

← Group #11887679

Character table — Group #11887679

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order12223344666666366688121212122244441212121212122424242424242424444444668888121212121212121222888844121212121212242424244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111-1-11-1-111111111-1-1-1-1-1-1111111-1-1-1-11-1-1111111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-1111-111-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-1111
χ5111111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-11-111-1-1-11-1-111-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-11-111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1111-1-111-1-1-1-11-1-1-11111-1-1-1-11-111-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1111-1-1-11111-1-1-1-1-11111-1-11-1-1-1-111-1-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1111-1-1-1-11111-1-111111-1-1-111-1-1-1-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11-1-1-111-1-1111111-1-11-1-1-1-1-111-1111-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1111-1-1-1-1111111-1-1-1-1-1111-1-1-111-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-1111-1-1-111-1-11111-1-111-111111-1-1-1-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111-1-111-1-1-1-1-1111-1-1-1-1111111-11-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11-1-1-11111-1-1-1-11-1-1-1-111-111111-11-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-200-200220000220000002200000000-200-20000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000200-200220000-2-2000000-2-200000000-2002000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-200200-2-2000022000000-2-200000000200-2000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000200200-2-20000-2-2000000220000000020020000-20000
χ2122222-122-122-1-12-1-1-1-1222-1-12220022-1-122-1-1-1-122-1-1-1-1022200-1-1220000-12-1-1-1-10000000200-1-1-10-1-1000-1000
χ2222222-122-122-1-12-1-1-1-1222-1-122200-2-211-2-2-1-1-1-122-1-1-1-10-2-2200-1-12200001-211110000000-200-1110-1-10001000
χ2322222-122-122-1-12-1-1-1-1222-1-12-2-20022-1-122-1-1-1-122-1-1-1-10-2-2-20011-2-20000-12-1-1-1-10000000-2001110110001000
χ2422222-122-122-1-12-1-1-1-1222-1-12-2-200-2-211-2-2-1-1-1-122-1-1-1-1022-20011-2-200001-2111100000002001-1-1011000-1000
χ2522222-122-122-1-12-1-1-1-1-2-22-1-1222002-2-1-1-2-2-1-111-2-21111022200-1-1-2-2000012-1-1110000000-200-1-1-10110001000
χ2622222-122-122-1-12-1-1-1-1-2-22-1-122200-221122-1-111-2-211110-2-2200-1-1-2-20000-1-211-1-10000000200-111011000-1000
χ2722222-122-122-1-12-1-1-1-1-2-22-1-12-2-2002-2-1-1-2-2-1-111-2-211110-2-2-2001122000012-1-11100000002001110-1-1000-1000
χ2822222-122-122-1-12-1-1-1-1-2-22-1-12-2-200-221122-1-111-2-21111022-20011220000-1-211-1-10000000-2001-1-10-1-10001000
χ292222-12222-1-122-1-1-1-1-122-122-100222222-1-1-1-122-1-1-1-1-1-1200022000022-1-12-1-1-1-1-100000020-1-1000-100-1-100-100
χ302222-12222-1-122-1-1-1-1-122-122-10022-2-2-2-211-1-122-1-1-1-1-1-12000-2-2000022-1-1-211111000000-2011000-100-1-100100
χ312222-12222-1-122-1-1-1-1-122-122-100-2-22222-1-1-1-122-1-1-1-1-1-1-2000-2-20000-2-2112-1-1-1-1-1000000-20110001001100100
χ322222-12222-1-122-1-1-1-1-122-122-100-2-2-2-2-2-211-1-122-1-1-1-1-1-1-2000220000-2-211-21111100000020-1-10001001100-100
χ332222-12222-1-122-1-1-1-1-1-2-2-122-100222-22211-1-1-2-21111112000-2-20000-2-2-1-1-2-1-1-1110000002011000-1001100-100
χ342222-12222-1-122-1-1-1-1-1-2-2-122-10022-22-2-2-1-1-1-1-2-21111112000220000-2-2-1-12111-1-1000000-20-1-1000-1001100100
χ352222-12222-1-122-1-1-1-1-1-2-2-122-100-2-22-22211-1-1-2-2111111-20002200002211-2-1-1-111000000-20-1-1000100-1-100100
χ362222-12222-1-122-1-1-1-1-1-2-2-122-100-2-2-22-2-2-1-1-1-1-2-2111111-2000-2-2000022112111-1-10000002011000100-1-100-100
χ3722-2-2220022-2-2-2-222-2-22−200002-22-2000000002−22−222−2−20000002-22−22−22-20000002-222−2−2000000002−22−200000
χ3822-2-2220022-2-2-2-222-2-22−200002-2-22000000002−22−222−2−20000002-22−2−22-22000000-22−2−222000000002−2−2200000
χ3922-2-2220022-2-2-2-222-2-22−20000-222-2000000002−22−222−2−2000000-22−222−22-2000000-22−2−22200000000−222−200000
χ4022-2-2220022-2-2-2-222-2-22−20000-22-22000000002−22−222−2−2000000-22−22−22-220000002-222−2−200000000−22−2200000
χ4122-2-2220022-2-2-2-222-2-2−2200002-22-200000000−22−22−2−2220000002-2−22−222-20000002-2−2−22200000000−22−2200000
χ4222-2-2220022-2-2-2-222-2-2−2200002-2-2200000000−22−22−2−2220000002-2−222−2-22000000-2222−2−200000000−222−200000
χ4322-2-2220022-2-2-2-222-2-2−220000-222-200000000−22−22−2−222000000-222−2−222-2000000-2222−2−2000000002−2−2200000
χ4422-2-2220022-2-2-2-222-2-2−220000-22-2200000000−22−22−2−222000000-222−22−2-220000002-2−2−222000000002−22−200000
χ452-2-22222-2-2-222-2-22-22-2002-22-200000000002-20000000002i−2i02-200000000000000002i−2i2i−2i002-202i−2i0000000000
χ462-2-22222-2-2-222-2-22-22-2002-22-200000000002-20000000002i−2i0-220000000000000000−2i2i−2i2i00-2202i−2i0000000000
χ472-2-22222-2-2-222-2-22-22-2002-22-200000000002-2000000000−2i2i02-20000000000000000−2i2i−2i2i002-20−2i2i0000000000
χ482-2-22222-2-2-222-2-22-22-2002-22-200000000002-2000000000−2i2i0-2200000000000000002i−2i2i−2i00-220−2i2i0000000000
χ4944444-2-4-4-244-2-24-2-2-2-200-422-444000000002200000000000-400-2-200000000000000000000002000000000000
χ5044444-2-4-4-244-2-24-2-2-2-200-422-4-4-4000000002200000000000400220000000000000000000000-2000000000000
χ514444-24-4-44-2-244-2-2-2-2-2002-4-4200440000002200000000-400000000000-2-200000000000000000002000000000
χ524444-24-4-44-2-244-2-2-2-2-2002-4-4200-4-40000002200000000400000000000220000000000000000000-2000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-2-2111100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-211110000000000000022-1-1-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-1000000000000002-211-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000000000-22-1-11100000000000000000000000
χ5744-4-44-200-24-422-4-2-22222−2200004-40000000000−2222−22−2−222000000-2222−22000000000000000000000000−220000000
χ5844-4-44-200-24-422-4-2-22222−220000-440000000000−2222−22−2−2220000002-2−22220000000000000000000000002−20000000
χ5944-4-44-200-24-422-4-2-222−222200004-400000000002−2−222222−2−2000000-22−22220000000000000000000000002−20000000
χ6044-4-44-200-24-422-4-2-222−22220000-4400000000002−2−222222−2−20000002-222−22000000000000000000000000−220000000
χ6144-4-4-24004-22-4-42-2-22222−220000004-40000000022−22−22−2−222000000000022−22-220000000000000000000000−2200000
χ6244-4-4-24004-22-4-42-2-22222−22000000-440000000022−22−22−2−2220000000000−22222-200000000000000000000002−200000
χ6344-4-4-24004-22-4-42-2-222−22220000004-400000000−22222−222−2−20000000000−2222-2200000000000000000000002−200000
χ6444-4-4-24004-22-4-42-2-222−2222000000-4400000000−22222−222−2−2000000000022−222-20000000000000000000000−2200000
χ654-44-44400-4-4-4-4444-4-44000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ664-44-44400-4-4-4-4444-4-440000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ674-4-4444-44-4-444-4-44-44-400-44-440000000000-44000000000000000000000000000000000000000000000000000
χ684-4-444-24-42-44-22-4-22-220042-2-40000000000-220000000004i−4i0000000000000000000000000000−2i2i0000000000
χ694-4-444-24-42-44-22-4-22-220042-2-40000000000-22000000000−4i4i00000000000000000000000000002i−2i0000000000
χ704-4-444-2-442-44-22-4-22-2200-4-22400000023−23002-200000000000000000000000023−230000000000000000000000000
χ714-4-444-2-442-44-22-4-22-2200-4-224000000−2323002-2000000000000000000000000−23230000000000000000000000000
χ724-4-44-244-4-42-24-42-22-2200-2-4420000000000-220000000000004-40000000000000000000000-220000000000000
χ734-4-44-244-4-42-24-42-22-2200-2-4420000000000-22000000000000-4400000000000000000000002-20000000000000
χ744-4-44-24-44-42-24-42-22-220024-4-20000000023−232-20000000000000000000000000023−2300000000000000000000000
χ754-4-44-24-44-42-24-42-22-220024-4-200000000−23232-200000000000000000000000000−232300000000000000000000000
χ764-4-44-2-2-4422-2-2221-11-1002-22-200000023−2323−23-1100003-33-30000000000000000−33−3300000000000000000000000
χ774-4-44-2-2-4422-2-2221-11-1002-22-200000023−23−2323-110000-33-330000000000000000−333−300000000000000000000000
χ784-4-44-2-2-4422-2-2221-11-1002-22-2000000−232323−23-110000-33-3300000000000000003−3−3300000000000000000000000
χ794-4-44-2-2-4422-2-2221-11-1002-22-2000000−2323−2323-1100003-33-300000000000000003−33−300000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-4444422-2-242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-4444422-2-2−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000000
χ838-88-88-4004-8-84-48-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800-844-88-4-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004444-4-42-2-22000000000000000000000032−32−32320000000000000000000000000000000000000000000
χ868-88-8-4-4004444-4-42-2-220000000000000000000000−323232−320000000000000000000000000000000000000000000
χ878-8-88-4-48-844-4-4442-22-200-44-4400000000002-2000000000000000000000000000000000000000000000000000

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