Finite Group Databasebeta

← Group #11887822

Character table — Group #11887822

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424242244888844121212122424242424244444668812121212242424241212121212121244244121212242424488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111111111-1-11111111111111-1-1-1-1-1-1-111-1-1-11-1-1111-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-11111-1-1-1-1-1-1-1-11111111-1-1-11-111111-1-1-1-1-1-1-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-111-1-111-11
χ51111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1111111-1-1-1-111111111-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11-1-111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-11-1-1111-1-11111-1-1-1-11-1111-1-111-1111-1-1-1-1111-1-1-111-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-1-111111-1-1111-1-11-1-1-1-11-1-11
χ11111111111111111111-1-11111-1-1-1-111-1-111111-1-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111111-1111-1-1-1-111-11-1-1-1-1-1-1-1111-111
χ12111111111111111111-1-11111-1-1-1-111-1-11111-111111-1-1-1-1-1-1111-111-1-1-1-1-1-11111-11-1-1-111-1-1-1-11111-1-1-11111-11-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1111-1-1111111-1-1-1-11-1111-1-1-1-1-1-11-11111-1-1-111-11-11
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-11-1-1-111-1-111-1-1-1-111-111111-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-111111-1111-1-1111-1-1-11111111-1-11-1-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-11111-111-1-1-1111-1-1-1-1-1111
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-200-2220022-2-20000000000022000-20000-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-2000000-20022200-2-22200000000000-2-2000-20000200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000200-2-2-20022-2-200000000000-2-200020000200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000002002-2-200-2-222000000000002200020000-200000000
χ2122222-12222-1-1-12-1-1-1-122-12-12-1-1-1-1002222222222-1-122-1-1-1-100020000-1-1-1-1-1-1-1-12-1-1-1-1-1-1002020000000000-1-100
χ2222222-12222-1-1-12-1-1-1-122-12-12-1-1-1-100222222-2-2-2-2-1-122-1-1-1-100020000-1-1-1-1-1-1-1-1-211111100-20-200000000001100
χ2322222-12222-1-1-12-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-1000-20000111111112-1-1-1-1-1-100-20-200000000001100
χ2422222-12222-1-1-12-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1000-2000011111111-2111111002020000000000-1-100
χ2522222-12222-1-1-12-1-1-1-1-2-2-12-1211110022-2-2-2-22-2-2-2-1-1-2-2111100020000-1-1-1-1111121-1-1-11100-20200000000001-100
χ2622222-12222-1-1-12-1-1-1-1-2-2-12-1211110022-2-2-2-2-2222-1-1-2-2111100020000-1-1-1-11111-2-1111-1-10020-20000000000-1100
χ2722222-12222-1-1-12-1-1-1-1-2-2-12-12111100-2-222222-2-2-2-1-1-2-21111000-200001111-1-1-1-121-1-1-1110020-20000000000-1100
χ2822222-12222-1-1-12-1-1-1-1-2-2-12-12111100-2-22222-2222-1-1-2-21111000-200001111-1-1-1-1-2-1111-1-100-20200000000001-100
χ292222-1222-1-1222-1-1-1-1-1222-12-122222200000022-1-1-1-1-1-1-1-1-1-12220-1-12200000000-122-1-1-1-100020-1-1-1-1-10000000-10
χ302222-1222-1-1222-1-1-1-1-1222-12-1222222000000-2-211-1-1-1-1-1-1-1-12-2-20-1-122000000001-2-21111000-20-111-1-1000000010
χ312222-1222-1-1222-1-1-1-1-1222-12-12222-2-200000022-1-1-1-1-1-1-1-1-1-1-2-2-2011-2-200000000-122-1-1-1-1000-2011111000000010
χ322222-1222-1-1222-1-1-1-1-1222-12-12222-2-2000000-2-211-1-1-1-1-1-1-1-1-222011-2-2000000001-2-21111000201-1-1110000000-10
χ332222-1222-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2220000002-211-1-11111112-2-20-1-1-2-200000000-1-22-1-11100020-111110000000-10
χ342222-1222-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-222000000-22-1-1-1-11111112220-1-1-2-20000000012-211-1-1000-20-1-1-111000000010
χ352222-1222-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2-2-20000002-211-1-1111111-2220112200000000-1-22-1-111000-201-1-1-1-1000000010
χ362222-1222-1-1222-1-1-1-1-1-2-22-12-1-2-2-2-2-2-2000000-22-1-1-1-1111111-2-2-2011220000000012-211-1-100020111-1-10000000-10
χ372-22-2222-2-2-22-2-222-2-220022-2-2000000002i2i−2i−2i0000-2200000002-20000000002i2i−2i−2i00000000000002-20002i−2i000000
χ382-22-2222-2-2-22-2-222-2-220022-2-2000000002i2i−2i−2i0000-220000000-220000000002i2i−2i−2i0000000000000-22000−2i2i000000
χ392-22-2222-2-2-22-2-222-2-220022-2-200000000−2i−2i2i2i0000-2200000002-2000000000−2i−2i2i2i00000000000002-2000−2i2i000000
χ402-22-2222-2-2-22-2-222-2-220022-2-200000000−2i−2i2i2i0000-220000000-22000000000−2i−2i2i2i0000000000000-220002i−2i000000
χ412-2-2222002-2-2-22-222-2-22−2000022−2−22-22i−2i−i2i2−i2i20000002−222−2−200002-22−22i−2i00−i2i2−i2i200000002i−2i0000002−2000−i2i20000
χ422-2-2222002-2-2-22-222-2-22−2000022−2−22-2−2i2ii2−i2i2−i20000002−222−2−200002-22−2−2i2i00i2−i2i2−i20000000−2i2i0000002−2000i2−i20000
χ432-2-2222002-2-2-22-222-2-22−2000022−2−2-222i−2i−i2i2−i2i20000002−222−2−20000-22−222i−2i00−i2i2−i2i20000000−2i2i000000−22000i2−i20000
χ442-2-2222002-2-2-22-222-2-22−2000022−2−2-22−2i2ii2−i2i2−i20000002−222−2−20000-22−22−2i2i00i2−i2i2−i200000002i−2i000000−22000−i2i20000
χ452-2-2222002-2-2-22-222-2-2−220000−2−2222-22i−2ii2−i2i2−i2000000−22−2−22200002-2−222i−2i00i2−i2i2−i200000002i−2i000000−22000i2−i20000
χ462-2-2222002-2-2-22-222-2-2−220000−2−2222-2−2i2i−i2i2−i2i2000000−22−2−22200002-2−22−2i2i00−i2i2−i2i20000000−2i2i000000−22000−i2i20000
χ472-2-2222002-2-2-22-222-2-2−220000−2−222-222i−2ii2−i2i2−i2000000−22−2−2220000-222−22i−2i00i2−i2i2−i20000000−2i2i0000002−2000−i2i20000
χ482-2-2222002-2-2-22-222-2-2−220000−2−222-22−2i2i−i2i2−i2i2000000−22−2−2220000-222−2−2i2i00−i2i2−i2i200000002i−2i0000002−2000i2−i20000
χ4944444-2-4-444-2-2-24-2-2-2-2002-42-4000000440000000022000000000-40000-2-222000000000000000000000000000000
χ5044444-2-4-444-2-2-24-2-2-2-2002-42-4000000-4-400000000220000000004000022-2-2000000000000000000000000000000
χ514444-24-4-4-2-2444-2-2-2-2-200-42-42000044000000000022000000-4000-2-2000000000000000000000020000000000000
χ524444-24-4-4-2-2444-2-2-2-2-200-42-420000-4-40000000000220000004000220000000000000000000000-20000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-2-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-211110000000000000000222-1-1-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4221122-1-1-1-10000000000000000-22-211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-21122-1-1-1-100000000000000002-22-1-1110000000000000000000
χ5744-4-44400-44-44-4-44-44-40000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ5844-4-44400-44-44-4-44-44-400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ5944-4-44-200-442-22-4-22-220000006−66−6000022−22−2222000000006−66−6000000000023−23−222−200000000000000000000000000
χ6044-4-44-200-442-22-4-22-220000006−66−60000−222222−22000000006−66−60000000000−23232−2−2200000000000000000000000000
χ6144-4-44-200-442-22-4-22-22000000−66−66000022−22−222200000000−66−660000000000−2323−222−200000000000000000000000000
χ6244-4-44-200-442-22-4-22-22000000−66−660000−222222−2200000000−66−66000000000023−232−2−2200000000000000000000000000
χ634-44-444-44-4-44-4-444-4-4400-4-44400000000000000004-4000000000000000000000000000000000000000000000000
χ644-44-44-24-4-4-4-2224-222-200-242-4000000004i4i−4i−4i00002-2000000000000000000−2i−2i2i2i00000000000000000000000000
χ654-44-44-24-4-4-4-2224-222-200-242-400000000−4i−4i4i4i00002-20000000000000000002i2i−2i−2i00000000000000000000000000
χ664-44-44-2-44-4-4-2224-222-2002-4-2423−23−2323000000000000-220023−23−2323000000000000000000000000000000000000000000
χ674-44-44-2-44-4-4-2224-222-2002-4-24−232323−23000000000000-2200−232323−23000000000000000000000000000000000000000000
χ684-44-4-244-4224-4-4-2-222-2004-2-4200000000000000002-200000004-400000000000000000000000000-2200000000000
χ694-44-4-244-4224-4-4-2-222-2004-2-4200000000000000002-20000000-44000000000000000000000000002-200000000000
χ704-44-4-24-44224-4-4-2-222-200-424-200000000000000−2i32i3-22000000000000000000000000000−2i32i30000000000000000000
χ714-44-4-24-44224-4-4-2-222-200-424-2000000000000002i3−2i3-220000000000000000000000000002i3−2i30000000000000000000
χ724-44-4-2-2-4422-222-21-1-110022-2-223−23−23230000000000−2i32i31-100−333−300000000000000000003i−3ii3−i30000000000000000000
χ734-44-4-2-2-4422-222-21-1-110022-2-223−23−232300000000002i3−2i31-100−333−30000000000000000000−3i3i−i3i30000000000000000000
χ744-44-4-2-2-4422-222-21-1-110022-2-2−232323−230000000000−2i32i31-1003−3−330000000000000000000−3i3ii3−i30000000000000000000
χ754-44-4-2-2-4422-222-21-1-110022-2-2−232323−2300000000002i3−2i31-1003−3−3300000000000000000003i−3i−i3i30000000000000000000
χ764-4-444-2004-422-2-4-2-22222−220000−2−222004i−4i−2i22i2−2i22i200000022−22−2−22200000000−2i2i00i2−i2i2−i200000000000000000000000000
χ774-4-444-2004-422-2-4-2-22222−220000−2−22200−4i4i2i2−2i22i2−2i200000022−22−2−222000000002i−2i00−i2i2−i2i200000000000000000000000000
χ784-4-444-2004-422-2-4-2-222−2222000022−2−2004i−4i2i2−2i22i2−2i2000000−222222−2−200000000−2i2i00−i2i2−i2i200000000000000000000000000
χ794-4-444-2004-422-2-4-2-222−2222000022−2−200−4i4i−2i22i2−2i22i2000000−222222−2−2000000002i−2i00i2−i2i2−i200000000000000000000000000
χ804-4-44-2400-22-4-442-2-22222−2200002222−22−224-4000000000000−22−2−2220000-2222−2200000000000000000000000−22000000000
χ814-4-44-2400-22-4-442-2-22222−2200002222−22−22-44000000000000−22−2−22200002-2−2222000000000000000000000002−2000000000
χ824-4-44-2400-22-4-442-2-222−22220000−22−2222224-40000000000002−222−2−20000-22−2222000000000000000000000002−2000000000
χ834-4-44-2400-22-4-442-2-222−22220000−22−222222-440000000000002−222−2−200002-222−2200000000000000000000000−22000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-48004-4-88-84-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-44-4442-22-200000026−2626−260000000000000000−66−66000000000000000000000000000000000000000000
χ8788-8-8-4-4004-44-4442-22-2000000−2626−262600000000000000006−66−6000000000000000000000000000000000000000000
χ888-88-8-4-48-844-444-42-2-2200-4-4440000000000000000-22000000000000000000000000000000000000000000000000
χ898-8-88-4-400-4444-4422-2-242−420000−22−22222200000000000000−222222−2−2000000000000000000000000000000000000000000
χ908-8-88-4-400-4444-4422-2-2−424200002222−22−220000000000000022−22−2−222000000000000000000000000000000000000000000

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