Finite Group Databasebeta

← Group #11878909

Character table — Group #11878909

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order1222334466666636668812121212242424244444444412121212242424242424488881212121212122424242412121212121212224444121212242448812121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1
χ3111111111111111111111111111111-1-111111111111111-1-1-11111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111-1-111-1-1-1-111111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1111
χ51111111111111111111111111111-1-111-1-1111111111111111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-11111111-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111-111
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-11-111-1-1111-11-1111-1-11-1-1-11-11-1
χ10111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11-11-1-11111-11-111-1-1-1-11-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-1-1111-11111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-111-1-1-1-11-1-11-1-1-111-111-111-11
χ12111111111111111111-1-11111-1-1-1-111-1-111-11-1-111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-1-111-1-1-111-1-11111-1111-1-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-11-1-111-1-111-1-11111-11-111-1-1-1-1-111-1111-1-1-1111-1-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-11-1-111-1-1-1-1-1-11-1-111-1-111-1-111111-11-1-111-1-11-1-111-1-1-1-1-111-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-111-1-111-11-11-1-1-1111-1-11-111-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-111111-11-1-111111-1-1-11-1-11
χ17222222-2-2222222222200-2-2-2-200002222-2-20000-2-2000000-200002222-2-200000000000220000-20000-20000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002000022-2-2-2-200000000000-2-200002000020000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-20000-2-2222200000000000-2-20000-2000020000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2220000-2-200000020000-2-2-2-2220000000000022000020000-20000000
χ2122222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-12200222222-1-122-1-1-1-100022-1-100-1-1-1-1-1-1-1-12-1-1-1-100220000000000-1-1000
χ2222222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-1220022-2-2-2-2-1-122-1-1-1-100022-1-100-1-1-1-1-1-111-2111100-2-2000000000011000
χ2322222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-1-2-200-2-22222-1-122-1-1-1-1000-2-21100111111-1-12-1-1-1-100-2-2000000000011000
χ2422222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-2-2-2-1-122-1-1-1-1000-2-2110011111111-2111100220000000000-1-1000
χ2522222-1222-12-1-12-1-1-1-1-2-22-1-1211112200222-222-1-1-2-21111000-2-2-1-100-1-111111-1-2-1-111002-200000000001-1000
χ2622222-1222-12-1-12-1-1-1-1-2-22-1-121111220022-22-2-2-1-1-2-21111000-2-2-1-100-1-11111-11211-1-100-220000000000-11000
χ2722222-1222-12-1-12-1-1-1-1-2-22-1-121111-2-200-2-22-222-1-1-2-2111100022110011-1-1-1-11-1-2-1-11100-220000000000-11000
χ2822222-1222-12-1-12-1-1-1-1-2-22-1-121111-2-200-2-2-22-2-2-1-1-2-2111100022110011-1-1-1-1-11211-1-1002-200000000001-1000
χ292222-1222-12-122-1-1-1-1-122-122-1222200220022-1-1-1-1-1-1-1-1-1-12220000-1-100000022-1-1-1-1-1000022-1-1-1-1-100000-100
χ302222-1222-12-122-1-1-1-1-122-122-12222002200-2-211-1-1-1-1-1-1-1-12220000-1-1000000-2-2111110000-2-2-111-1-100000100
χ312222-1222-12-122-1-1-1-1-122-122-1222200-2-20022-1-1-1-1-1-1-1-1-1-1-2-2-200001100000022-1-1-1-1-10000-2-21111100000100
χ322222-1222-12-122-1-1-1-1-122-122-1222200-2-200-2-211-1-1-1-1-1-1-1-1-2-2-2000011000000-2-2111110000221-1-11100000-100
χ332222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-20022002-2-1-1-1-11111112-2-20000-1-1000000-221-1-11100002-2-1-1-11100000100
χ342222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-2002200-2211-1-11111112-2-20000-1-10000002-2-111-1-10000-22-1111100000-100
χ352222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-200-2-2002-2-1-1-1-1111111-222000011000000-221-1-1110000-22111-1-100000-100
χ362222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-200-2-200-2211-1-1111111-2220000110000002-2-111-1-100002-21-1-1-1-100000100
χ3722-2-2220022-2-2-2-222-2-22−2000022−2−22-22-2000000002−222−2−202−22−22-22-20022−2−200000002-200000002−202−200000
χ3822-2-2220022-2-2-2-222-2-22−2000022−2−22-2-22000000002−222−2−20−222−22-2-220022−2−20000000-220000000−220−2200000
χ3922-2-2220022-2-2-2-222-2-22−2000022−2−2-222-2000000002−222−2−202−2−22-222-200−2−2220000000-2200000002−20−2200000
χ4022-2-2220022-2-2-2-222-2-22−2000022−2−2-22-22000000002−222−2−20−22−22-22-2200−2−22200000002-20000000−2202−200000
χ4122-2-2220022-2-2-2-222-2-2−220000−2−2222-22-200000000−22−2−2220−22−222-22-200−2−22200000002-20000000−220−2200000
χ4222-2-2220022-2-2-2-222-2-2−220000−2−2222-2-2200000000−22−2−22202−2−222-2-2200−2−2220000000-2200000002−202−200000
χ4322-2-2220022-2-2-2-222-2-2−220000−2−222-222-200000000−22−2−2220−222−2-222-20022−2−20000000-220000000−2202−200000
χ4422-2-2220022-2-2-2-222-2-2−220000−2−222-22-2200000000−22−2−22202−22−2-22-220022−2−200000002-200000002−20−2200000
χ4544444-2-4-44-24-2-24-2-2-2-200-422-400004400-4-400002200000000000-2-20022000000000000000000000000000000
χ4644444-2-4-44-24-2-24-2-2-2-200-422-40000-4-40044000022000000000002200-2-2000000000000000000000000000000
χ474444-24-4-4-24-244-2-2-2-2-2002-4-420000004400000022000000-4000000-2-200000000000000000002000000000000
χ484444-24-4-4-24-244-2-2-2-2-2002-4-42000000-4-4000000220000004000000220000000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-2-2-211110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-21111000000000000000222-1-1-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-21122-1-1-1-10000000000000002-2211-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44221122-1-1-1-1000000000000000-22-2-1-1110000000000000000000
χ5344-4-44-2004-2-422-4-2-22222−220000−2−2224-4000000000022−22−2−22200022−22-220000−2−22200000000000000000000000000
χ5444-4-44-2004-2-422-4-2-22222−220000−2−222-44000000000022−22−2−222000−22222-2000022−2−200000000000000000000000000
χ5544-4-44-2004-2-422-4-2-222−2222000022−2−24-40000000000−222222−2−2000−2222-22000022−2−200000000000000000000000000
χ5644-4-44-2004-2-422-4-2-222−2222000022−2−2-440000000000−222222−2−200022−222-20000−2−22200000000000000000000000000
χ5744-4-4-2400-242-4-42-2-22222−2200002222−22−22004-400000000−22−2−222022−220000-220000000000000000000000−2200000000
χ5844-4-4-2400-242-4-42-2-22222−2200002222−22−2200-4400000000−22−2−2220−222200002-200000000000000000000002−200000000
χ5944-4-4-2400-242-4-42-2-222−22220000−22−222222004-4000000002−222−2−20−22220000-2200000000000000000000002−200000000
χ6044-4-4-2400-242-4-42-2-222−22220000−22−22222200-44000000002−222−2−2022−2200002-20000000000000000000000−2200000000
χ614-44-44400-4-44-44-44-44-4000000000000004-40000000000000000000004-4000000000000000000000000000000
χ624-44-44400-4-44-44-44-44-400000000000000-44000000000000000000000-44000000000000000000000000000000
χ634-44-44-200-4242-2-4-22-220000006−66−600004-4000000006−66−6000000000-226−66−600000000000000000000000000
χ644-44-44-200-4242-2-4-22-220000006−66−60000-44000000006−66−60000000002-2−66−6600000000000000000000000000
χ654-44-44-200-4242-2-4-22-22000000−66−6600004-400000000−66−66000000000-22−66−6600000000000000000000000000
χ664-44-44-200-4242-2-4-22-22000000−66−660000-4400000000−66−660000000002-26−66−600000000000000000000000000
χ674-4-44444-4-4-4-44-444-4-4400-44-4400000000000000-4400000000000000000000000000000000000000000000000
χ684-4-4444-44-4-4-44-444-4-44004-44-4000000000000004-400000000000000000000000000000000000000000000000
χ694-4-444-24-4-42-4-224-222-200-4-224000000000000002-20000000000000000023−23−232300000000000000000000000000
χ704-4-444-24-4-42-4-224-222-200-4-224000000000000002-200000000000000000−232323−2300000000000000000000000000
χ714-4-444-2-44-42-4-224-222-20042-2-423−23−23230000000000-220023−23−232300000000000000000000000000000000000000000
χ724-4-444-2-44-42-4-224-222-20042-2-4−232323−230000000000-2200−232323−2300000000000000000000000000000000000000000
χ734-4-44-244-42-424-4-2-222-20024-4-2000000000000002-200000000000000000000000000000000000−2i32i30000000000
χ744-4-44-244-42-424-4-2-222-20024-4-2000000000000002-2000000000000000000000000000000000002i3−2i30000000000
χ754-4-44-24-442-424-4-2-222-200-2-44200000000000023−23-2200000000000000000000000023−23000000000000000000000
χ764-4-44-24-442-424-4-2-222-200-2-442000000000000−2323-22000000000000000000000000−2323000000000000000000000
χ774-4-44-2-2-44222-22-21-1-1100-22-2223−23−23230000000023−231-100−333−3000000000000000000−333-30000000000000000000
χ784-4-44-2-2-44222-22-21-1-1100-22-2223−23−232300000000−23231-100−333−30000000000000000003−3-330000000000000000000
χ794-4-44-2-2-44222-22-21-1-1100-22-22−232323−230000000023−231-1003−3−33000000000000000000−33-330000000000000000000
χ804-4-44-2-2-44222-22-21-1-1100-22-22−232323−2300000000−23231-1003−3−330000000000000000003−33-30000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-4444422-2-242−420000−22−222222000000000000−222222−2−200000000000000000000000000000000000000000
χ8388-8-8-4-400-4-4444422-2-2−424200002222−22−2200000000000022−22−2−22200000000000000000000000000000000000000000
χ848-88-8-48004-8-4-884-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-442-22-200000026−2626−2600000000000000−66−6600000000000000000000000000000000000000000
χ868-88-8-4-40044-44-442-22-2000000−2626−2626000000000000006−66−600000000000000000000000000000000000000000
χ878-8-88-4-48-8444-44-42-2-22004-44-400000000000000-2200000000000000000000000000000000000000000000000

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