Finite Group Databasebeta

← Group #11878910

Character table — Group #11878910

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order12223344666666366688121212122424242422444444121212122424242424244668888121212122424242412121212121212444444121212242448812121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-111111-1-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-111-111
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-111111111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-1-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-1111-1-11111-1-11-1-1-1-11-1-1-1111-1
χ10111111111111111111-1-11111-1-1-1-1111111-111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-11-1-1-11111-1-111111-1-11-1-11-1-1-11
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111111-1111-1-1-1-1-11-111-1-1-1-1-1111-11-11
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-1111-1-111-1-1-1-11111-11-1-1-111-1-11-11-1111-1-1-111-11-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1111-1-1-1-11-11-1-11111-111-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1-111-1-1-11-11-1-1-111-1111-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-1-111-1-111-111111-1-11-1-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1111111-1-1-1-1-1111-1-1-111-11
χ17222222-2-2222222222200-2-2-2-200002222-2-20000-2-2000000-222000022-2-200000000000220000-20000-20000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-2220000-2-22200000000000-2-20000-2000020000000
χ19222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-20000002-2-2000022-2-200000000000-2-200002000020000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2220000-2-20000002-2-20000-2-2220000000000022000020000-20000000
χ2122222-122-1-1222-1-1-1-1-1222-12-1222222000022-1-1-1-1-1-1-1-1-1-12-1-1220000000000-122-1-1-1-1000220-1-1-1-1-100000-100
χ2222222-122-1-1222-1-1-1-1-1222-12-12222220000-2-211-1-1-1-1-1-1-1-12-1-12200000000001-2-21111000-2-20-111-1-100000100
χ2322222-122-1-1222-1-1-1-1-1222-12-12222-2-2000022-1-1-1-1-1-1-1-1-1-1-211-2-20000000000-122-1-1-1-1000-2-201111100000100
χ2422222-122-1-1222-1-1-1-1-1222-12-12222-2-20000-2-211-1-1-1-1-1-1-1-1-211-2-200000000001-2-211110002201-1-11100000-100
χ2522222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-22200002-211-1-11111112-1-1-2-20000000000-1-22-1-1110002-20-1111100000-100
χ2622222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2220000-22-1-1-1-11111112-1-1-2-2000000000012-211-1-1000-220-1-1-11100000100
χ2722222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2-2-200002-211-1-1111111-211220000000000-1-22-1-111000-2201-1-1-1-100000100
χ2822222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2-2-20000-22-1-1-1-1111111-21122000000000012-211-1-10002-20111-1-100000-100
χ292222-122222-1-1-12-1-1-1-122-12-12-1-1-1-10022222222-1-122-1-1-1-10000022-1-1-1-1-1-1-1-12-1-1-1-1-1-100200200000000-1-1000
χ302222-122222-1-1-12-1-1-1-122-12-12-1-1-1-1002222-2-2-2-2-1-122-1-1-1-10000022-1-1-1-1-1-1-1-1-211111100-200-20000000011000
χ312222-122222-1-1-12-1-1-1-122-12-12-1-1-1-100-2-2-2-22222-1-122-1-1-1-100000-2-2111111112-1-1-1-1-1-100-200-20000000011000
χ322222-122222-1-1-12-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-2-2-2-1-122-1-1-1-100000-2-211111111-211111100200200000000-1-1000
χ332222-122222-1-1-12-1-1-1-1-2-2-12-1211110022222-2-2-2-1-1-2-2111100000-2-2-1-1-1-1111121-1-1-11100200-2000000001-1000
χ342222-122222-1-1-12-1-1-1-1-2-2-12-121111002222-2222-1-1-2-2111100000-2-2-1-1-1-11111-2-1111-1-100-200200000000-11000
χ352222-122222-1-1-12-1-1-1-1-2-2-12-12111100-2-2-2-22-2-2-2-1-1-2-2111100000221111-1-1-1-121-1-1-11100-200200000000-11000
χ362222-122222-1-1-12-1-1-1-1-2-2-12-12111100-2-2-2-2-2222-1-1-2-2111100000221111-1-1-1-1-2-1111-1-100200-2000000001-1000
χ3722-2-222002-22-2-2-222-2-22−2000022−2−22-22-2000000002−222−2−202-22−22−22-20022−2−200000002-200000002−202−200000
χ3822-2-222002-22-2-2-222-2-22−2000022−2−22-2-22000000002−222−2−202-22−2−22-2200−2−2220000000-2200000002−20−2200000
χ3922-2-222002-22-2-2-222-2-22−2000022−2−2-222-2000000002−222−2−20-22−222−22-20022−2−20000000-220000000−220−2200000
χ4022-2-222002-22-2-2-222-2-22−2000022−2−2-22-22000000002−222−2−20-22−22−22-2200−2−22200000002-20000000−2202−200000
χ4122-2-222002-22-2-2-222-2-2−220000−2−2222-22-200000000−22−2−22202-2−22−222-200−2−22200000002-20000000−220−2200000
χ4222-2-222002-22-2-2-222-2-2−220000−2−2222-2-2200000000−22−2−22202-2−222−2-220022−2−20000000-220000000−2202−200000
χ4322-2-222002-22-2-2-222-2-2−220000−2−222-222-200000000−22−2−2220-222−2−222-200−2−2220000000-2200000002−202−200000
χ4422-2-222002-22-2-2-222-2-2−220000−2−222-22-2200000000−22−2−2220-222−22−2-220022−2−200000002-200000002−20−2200000
χ4544444-2-4-4-2-2444-2-2-2-2-200-42-420000440000000022000000-4-2-200000000000000000000000002000000000000
χ4644444-2-4-4-2-2444-2-2-2-2-200-42-420000-4-400000000220000004220000000000000000000000000-2000000000000
χ474444-24-4-444-2-2-24-2-2-2-2002-42-400000044-4-40000220000000000000-2-222000000000000000000000000000000
χ484444-24-4-444-2-2-24-2-2-2-2002-42-4000000-4-444000022000000000000022-2-2000000000000000000000000000000
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
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4221122-1-1-1-1000000000000000-22-211-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44-2-21122-1-1-1-10000000000000002-22-1-1110000000000000000000
χ5344-4-44-200-224-4-42-2-22222−2200002222−22−224-40000000000−22−2−2220-2222−2200000000000000000000000000−2200000000
χ5444-4-44-200-224-4-42-2-22222−2200002222−22−22-440000000000−22−2−22202-2−2222000000000000000000000000002−200000000
χ5544-4-44-200-224-4-42-2-222−22220000−22−2222224-400000000002−222−2−20-22−2222000000000000000000000000002−200000000
χ5644-4-44-200-224-4-42-2-222−22220000−22−222222-4400000000002−222−2−202-222−2200000000000000000000000000−2200000000
χ5744-4-4-24004-4-222-4-2-22222−220000−2−222004-40000000022−22−2−2220000022−22-2200−2−22200000000000000000000000000
χ5844-4-4-24004-4-222-4-2-22222−220000−2−22200-440000000022−22−2−22200000−22222-20022−2−200000000000000000000000000
χ5944-4-4-24004-4-222-4-2-222−2222000022−2−2004-400000000−222222−2−200000−2222-220022−2−200000000000000000000000000
χ6044-4-4-24004-4-222-4-2-222−2222000022−2−200-4400000000−222222−2−20000022−222-200−2−22200000000000000000000000000
χ614-44-44400-44-4-44-44-44-4000000000000004-40000000000000000000004-4000000000000000000000000000000
χ624-44-44400-44-4-44-44-44-400000000000000-44000000000000000000000-44000000000000000000000000000000
χ634-44-4-2400-4422-2-4-22-220000006−66−600004-4000000006−66−6000000000-226−66−600000000000000000000000000
χ644-44-4-2400-4422-2-4-22-220000006−66−60000-44000000006−66−60000000002-2−66−6600000000000000000000000000
χ654-44-4-2400-4422-2-4-22-22000000−66−6600004-400000000−66−66000000000-22−66−6600000000000000000000000000
χ664-44-4-2400-4422-2-4-22-22000000−66−660000-4400000000−66−660000000002-26−66−600000000000000000000000000
χ674-4-44444-4-4-4-44-444-4-4400-4-444000000000000004-400000000000000000000000000000000000000000000000
χ684-4-4444-44-4-4-44-444-4-440044-4-400000000000000-4400000000000000000000000000000000000000000000000
χ694-4-444-24-422-44-4-2-222-200-424-2000000000000−2i32i3-2200000000000000000000000000−2i32i30000000000000000000
χ704-4-444-24-422-44-4-2-222-200-424-20000000000002i3−2i3-22000000000000000000000000002i3−2i30000000000000000000
χ714-4-444-2-4422-44-4-2-222-2004-2-42000000000000002-200000000000000000000000000000000000−2i32i30000000000
χ724-4-444-2-4422-44-4-2-222-2004-2-42000000000000002-2000000000000000000000000000000000002i3−2i30000000000
χ734-4-44-244-4-4-42-224-222-2002-4-2423−23−23230000000000-220023−23−232300000000000000000000000000000000000000000
χ744-4-44-244-4-4-42-224-222-2002-4-24−232323−230000000000-2200−232323−2300000000000000000000000000000000000000000
χ754-4-44-24-44-4-42-224-222-200-242-4000000000000002-20000000000000000023−23−232300000000000000000000000000
χ764-4-44-24-44-4-42-224-222-200-242-4000000000000002-200000000000000000−232323−2300000000000000000000000000
χ774-4-44-2-24-4222-22-21-1-110022-2-223−23−232300000000−2i32i31-100−333−30000000000000000003i−3ii3−i30000000000000000000
χ784-4-44-2-24-4222-22-21-1-110022-2-223−23−2323000000002i3−2i31-100−333−3000000000000000000−3i3i−i3i30000000000000000000
χ794-4-44-2-24-4222-22-21-1-110022-2-2−232323−2300000000−2i32i31-1003−3−33000000000000000000−3i3ii3−i30000000000000000000
χ804-4-44-2-24-4222-22-21-1-110022-2-2−232323−23000000002i3−2i31-1003−3−330000000000000000003i−3i−i3i30000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-444422-2-242−420000−22−222222000000000000−222222−2−200000000000000000000000000000000000000000
χ8388-8-8-4-400-44-444422-2-2−424200002222−22−2200000000000022−22−2−22200000000000000000000000000000000000000000
χ848-88-88-4004-4-8-884-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-444-442-22-200000026−2626−2600000000000000−66−6600000000000000000000000000000000000000000
χ868-88-8-4-4004-444-442-22-2000000−2626−2626000000000000006−66−600000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-42-2-2200-4-44400000000000000-2200000000000000000000000000000000000000000000000

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