Finite Group Databasebeta

← Group #11885762

Character table — Group #11885762

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order1222334466666636668812121212222222666612122424242424242424222244666688886666664488884466661212242424244121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1
χ311111111111111111111111111-1-1111111111111111111-1-11-111-1-111-1-1111111-1-1-1-1-1-11-111-1-11-111-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-1-111-11-1-111-1-111111111-1-1-1-1-1-1-11-1-111-11-1-111-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-1111111111111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-111-11-111
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
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-111-1-1-1-1-1111-1-111-1-1-1-11-111-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-11-1-1-11111-1-1-1-111-1-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-1111-111-1-1-1-11111-1-111111-1-1-111-1-1-1-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-11-1-111-1-1111111-1-1-1-11-1-1-111-1111-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-111-1-1-1-1111111-1-1-1-1-1111-1-1-111-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-11-1-111-1-11111-1-11111-1111-1-1-1-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-111-1-111-1-1-1-11-1-1-111-1-1111111-11-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1111-1-1-1-111111-11-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-2000000000000-2-222220000000000220000000000-2-20000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000000000-2222-2-20000000000-2-20000000000-22000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-20000000000002-2-2-2220000000000-2-200000000002-2000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000000022-2-2-2-20000000000220000000000220000-20000
χ2122222-1222-12-12-1-1-1-1-1222-12-100222222-1-1-1-122-1-1-1-1-1-100220200-1-10022-12-1-1-1-10000000200-1-10-100-1-100-100
χ2222222-1222-12-12-1-1-1-1-1222-12-10022-2-2-2-211-1-122-1-1-1-1-1-100-2-20200-1-100221-211110000000-200110-100-1-100100
χ2322222-1222-12-12-1-1-1-1-1222-12-100-2-22222-1-1-1-122-1-1-1-1-1-100-2-20-2001100-2-2-12-1-1-1-10000000-2001101001100100
χ2422222-1222-12-12-1-1-1-1-1222-12-100-2-2-2-2-2-211-1-122-1-1-1-1-1-100220-2001100-2-21-211110000000200-1-101001100-100
χ2522222-1222-12-12-1-1-1-1-1-2-22-12-100222-22211-1-1-2-211111100-2-20200-1-100-2-2-1-2-1-1110000000200110-1001100-100
χ2622222-1222-12-12-1-1-1-1-1-2-22-12-10022-22-2-2-1-1-1-1-2-211111100220200-1-100-2-21211-1-10000000-200-1-10-1001100100
χ2722222-1222-12-12-1-1-1-1-1-2-22-12-100-2-22-22211-1-1-2-211111100220-200110022-1-2-1-1110000000-200-1-10100-1-100100
χ2822222-1222-12-12-1-1-1-1-1-2-22-12-100-2-2-22-2-2-1-1-1-1-2-211111100-2-20-2001100221211-1-10000000200110100-1-100-100
χ292222-1222-12-12-12-1-1-1-122-12-12220022-1-122-1-1-1-122-1-1-1-1220020-1-10022002-1-1-1-1-100000020-1-100-10-1-1000-1000
χ302222-1222-12-12-12-1-1-1-122-12-122200-2-211-2-2-1-1-1-122-1-1-1-1-2-20020-1-1002200-211111000000-201100-10-1-10001000
χ312222-1222-12-12-12-1-1-1-122-12-12-2-20022-1-122-1-1-1-122-1-1-1-1-2-200-201100-2-2002-1-1-1-1-1000000-20110010110001000
χ322222-1222-12-12-12-1-1-1-122-12-12-2-200-2-211-2-2-1-1-1-122-1-1-1-12200-201100-2-200-21111100000020-1-1001011000-1000
χ332222-1222-12-12-12-1-1-1-1-2-2-12-1222002-2-1-1-2-2-1-111-2-21111220020-1-100-2-20021-1-111000000-20-1-100-10110001000
χ342222-1222-12-12-12-1-1-1-1-2-2-12-122200-221122-1-111-2-21111-2-20020-1-100-2-200-2-111-1-1000000201100-1011000-1000
χ352222-1222-12-12-12-1-1-1-1-2-2-12-12-2-2002-2-1-1-2-2-1-111-2-21111-2-200-201100220021-1-11100000020110010-1-1000-1000
χ362222-1222-12-12-12-1-1-1-1-2-2-12-12-2-200-221122-1-111-2-211112200-2011002200-2-111-1-1000000-20-1-10010-1-10001000
χ3722-2-222-22-2-222-2-22-2-2200-2-22200000000002-2000000002-22-200000000000000000022-2-2002-22-200000000000
χ3822-2-222-22-2-222-2-22-2-2200-2-22200000000002-2000000002-2-22000000000000000000-2-222002-2-2200000000000
χ3922-2-222-22-2-222-2-22-2-2200-2-22200000000002-200000000-222-2000000000000000000-2-22200-222-200000000000
χ4022-2-222-22-2-222-2-22-2-2200-2-22200000000002-200000000-22-2200000000000000000022-2-200-22-2200000000000
χ412-2-222200-2-2-2-22222-2-22−200002-22-2000000002−22−222−2−20000002-22-22−22−20000002-22−22−2000000002−22−200000
χ422-2-222200-2-2-2-22222-2-22−200002-2-22000000002−22−222−2−20000002-2-222−2−22000000-22−22−22000000002−2−2200000
χ432-2-222200-2-2-2-22222-2-22−20000-222-2000000002−22−222−2−2000000-222-2−222−2000000-22−22−2200000000−222−200000
χ442-2-222200-2-2-2-22222-2-22−20000-22-22000000002−22−222−2−2000000-22-22−22−220000002-22−22−200000000−22−2200000
χ452-2-222200-2-2-2-22222-2-2−2200002-22-200000000−22−22−2−2220000002-22-2−22−220000002-2−22−2200000000−22−2200000
χ462-2-222200-2-2-2-22222-2-2−2200002-2-2200000000−22−22−2−2220000002-2-22−222−2000000-222−22−200000000−222−200000
χ472-2-222200-2-2-2-22222-2-2−220000-222-200000000−22−22−2−222000000-222-22−2−22000000-222−22−2000000002−2−2200000
χ482-2-222200-2-2-2-22222-2-2−220000-22-2200000000−22−22−2−222000000-22-222−22−20000002-2−22−22000000002−22−200000
χ4944444-2-4-44-24-24-2-2-2-2-200-42-420044000000220000000000000-400-2-2000000000000000000000002000000000
χ5044444-2-4-44-24-24-2-2-2-2-200-42-4200-4-40000002200000000000004002200000000000000000000000-2000000000
χ514444-24-4-4-24-24-24-2-2-2-2002-42-4440000000022000000000000-40-2-200000000000000000000000020000000000
χ524444-24-4-4-24-24-24-2-2-2-2002-42-4-4-400000000220000000000004022000000000000000000000000-20000000000
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
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-100000000000000-2211-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-1000000000000002-2-1-11100000000000000000000000
χ5744-4-4444-4-4-444-4-44-4-440044-4-40000000000-44000000000000000000000000000000000000000000000000000
χ5844-4-44-24-4-424-2-42-222-2004-2-4200000000−2i32i32-200000000000000000000000000−2i32i300000000000000000000000
χ5944-4-44-24-4-424-2-42-222-2004-2-42000000002i3−2i32-2000000000000000000000000002i3−2i300000000000000000000000
χ6044-4-44-2-44-424-2-42-222-200-424-20000000000-2200000000004-400000000000000000000000000-2200000000000
χ6144-4-44-2-44-424-2-42-222-200-424-20000000000-220000000000-44000000000000000000000000002-200000000000
χ6244-4-4-244-42-4-242-4-222-200-242-4000000−2i32i3002-2000000000000000000000000−2i32i30000000000000000000000000
χ6344-4-4-244-42-4-242-4-222-200-242-40000002i3−2i3002-20000000000000000000000002i3−2i30000000000000000000000000
χ6444-4-4-24-442-4-242-4-222-2002-4-240000000000-22000000004-400000000000000000000000000-220000000000000
χ6544-4-4-24-442-4-242-4-222-2002-4-240000000000-2200000000-44000000000000000000000000002-20000000000000
χ6644-4-4-2-24-422-2-2221-1-1100-2-222000000−2i32i3−2i32i3-1100003-33-30000000000000000i3−i3i3−i300000000000000000000000
χ6744-4-4-2-24-422-2-2221-1-1100-2-222000000−2i32i32i3−2i3-110000-33-330000000000000000i3−i3−i3i300000000000000000000000
χ6844-4-4-2-24-422-2-2221-1-1100-2-2220000002i3−2i3−2i32i3-110000-33-330000000000000000−i3i3i3−i300000000000000000000000
χ6944-4-4-2-24-422-2-2221-1-1100-2-2220000002i3−2i32i3−2i3-1100003-33-30000000000000000−i3i3−i3i300000000000000000000000
χ704-44-4440044-4-4-4-44-44-400000000000000000000000000000000000000000000000022−22−222200000000000000000
χ714-44-4440044-4-4-4-44-44-4000000000000000000000000000000000000000000000000−222222−2200000000000000000
χ724-4-444-200-42-424-2-2-22222−220000004-40000000022−22−22−2−22200000000-220022−220000000000000000000000−2200000
χ734-4-444-200-42-424-2-2-22222−22000000-440000000022−22−22−2−222000000002-200−222200000000000000000000002−200000
χ744-4-444-200-42-424-2-2-222−22220000004-400000000−22222−222−2−200000000-2200−222200000000000000000000002−200000
χ754-4-444-200-42-424-2-2-222−2222000000-4400000000−22222−222−2−2000000002-20022−220000000000000000000000−2200000
χ764-4-44-24002-42-4-24-2-22222−2200004-40000000000−2222−22−2−222000000-220022−220000000000000000000000−220000000
χ774-4-44-24002-42-4-24-2-22222−220000-440000000000−2222−22−2−2220000002-200−222200000000000000000000002−20000000
χ784-4-44-24002-42-4-24-2-222−222200004-400000000002−2−222222−2−2000000-2200−222200000000000000000000002−20000000
χ794-4-44-24002-42-4-24-2-222−22220000-4400000000002−2−222222−2−20000002-20022−220000000000000000000000−220000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4-8844-4-4442-2-220044-4-400000000002-2000000000000000000000000000000000000000000000000000
χ828-88-88-4008-4-84-84-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4800-484-84-8-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400-4-444442-22-2000000000000000000000032−32−32320000000000000000000000000000000000000000000
χ858-88-8-4-400-4-444442-22-20000000000000000000000−323232−320000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-422-2-242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-422-2-2−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000000

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