Finite Group Databasebeta

← Group #11883985

Character table — Group #11883985

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666223666121212122246666812121212242424242424242444444668812121212661212122246681212121212242424242488624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-11111111-11111-1-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1-11-1111-11-1-111-1-1-1-111-1-1-11-1
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-11-1-111-1111-1-1-1-111-1-111-1-11
χ5111111111111111111111111-1-111111111111111111111-111-1-111111111111-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1-11111-1-1-1-1111-11
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11-1-1-11-111-1-1111111-1-111-1
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1111-11-1-1-1-1111-1-1-1-1-1-111-1-11-11
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111-111-1-1-11-1-111-1-111-1-11111-1
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-11-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1111-111-1-111-1-1-1-111-11-1
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11111-1-1-111111111-1-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1111111-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-1111
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111111-1-1
χ17222222-2-2222222002222-2-2-2-22200000000-2-2000000002-2-200220022-2-200000000000-200000000-2200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-200000000-22-2002200-2-22200000000000-2000000002-200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-2000000002-2200-2-20022-2-2000000000002000000002-200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-200000000-22200-2-200-2-22200000000000200000000-2200000
χ2122222-122-1-12-12222-1-1-1-1-12-1222222-1-1222-1-122-1-1-1-1-1-100200-1-1000000-1-1-1-1-1220-1-12-10000-1-1000000-100
χ2222222-122-1-12-12222-1-1-1-1-12-1222-222-1-1-2-2-2-1-1-2-211111100200-1-1000000-1-11112-20-1-1-2-1000011000000100
χ2322222-122-1-12-12222-1-1-1-1-12-12-2-2222-1-1222-1-122-1-1-1-1-1-100-20011000000-1-1-1-1-1-2-2011-21000011000000100
χ2422222-122-1-12-12222-1-1-1-1-12-12-2-2-222-1-1-2-2-2-1-1-2-211111100-20011000000-1-1111-22011210000-1-1000000-100
χ2522222-122-1-12-122-2-2-1-1-1-1-12-12222-2-211-222-1-1-2-211111100200-1-100000011-1-1-1-22011-2-1000011000000-100
χ2622222-122-1-12-122-2-2-1-1-1-1-12-1222-2-2-2112-2-2-1-122-1-1-1-1-1-100200-1-100000011111-2-20112-10000-1-1000000100
χ2722222-122-1-12-122-2-2-1-1-1-1-12-12-2-22-2-211-222-1-1-2-211111100-2001100000011-1-1-12-20-1-1210000-1-1000000100
χ2822222-122-1-12-122-2-2-1-1-1-1-12-12-2-2-2-2-2112-2-2-1-122-1-1-1-1-1-100-2001100000011111220-1-1-21000011000000-100
χ292222-122222-12-1-122-1-1-1-12-12-1002-1-1222-1-1-1-1-1-122-1-1-1-1220220022-1-1-1-1-1-12-1-10020000-1-1-1-100-1-10000000
χ302222-122222-12-1-122-1-1-1-12-12-1002-1-1222-1-1-1-1-1-122-1-1-1-1-2-20-2-200-2-21111-1-12-1-100-20000111100110000000
χ312222-122222-12-1-122-1-1-1-12-12-100-2-1-122-211-1-111-2-21111220-2-200-2-2-1-1-1-1-1-1-211002000011-1-100110000000
χ322222-122222-12-1-122-1-1-1-12-12-100-2-1-122-211-1-111-2-21111-2-202200221111-1-1-21100-20000-1-11100-1-10000000
χ332222-122222-12-1-1-2-2-1-1-1-12-12-100211-2-2-2-1-1-1-111-2-211112202200-2-2-1-1-1-1112-1-100-20000-1-11100110000000
χ342222-122222-12-1-1-2-2-1-1-1-12-12-100211-2-2-2-1-1-1-111-2-21111-2-20-2-200221111112-1-1002000011-1-100-1-10000000
χ352222-122222-12-1-1-2-2-1-1-1-12-12-100-211-2-2211-1-1-1-122-1-1-1-1220-2-20022-1-1-1-111-21100-20000111100-1-10000000
χ362222-122222-12-1-1-2-2-1-1-1-12-12-100-211-2-2211-1-1-1-122-1-1-1-1-2-202200-2-2111111-2110020000-1-1-1-100110000000
χ372-2-2222-22-2-2-222-22-22-22-2-2-2220002-22-20002-2000000000002-2002-200002-200000000002-200002-20000000
χ382-2-2222-22-2-2-222-22-22-22-2-2-2220002-22-20002-200000000000-2200-2200002-20000000000-220000-220000000
χ392-2-2222-22-2-2-222-2-222-22-2-2-222000-22-220002-2000000000002-200-220000-2200000000002-20000-220000000
χ402-2-2222-22-2-2-222-2-222-22-2-2-222000-22-220002-200000000000-22002-20000-220000000000-2200002-20000000
χ412-2-22-12-22-2-212-112-2-11-11-212-1000-112-203−3-113−30033−3−30002-2002-23−33−3-1103−30000000-113−300-110000000
χ422-2-22-12-22-2-212-112-2-11-11-212-1000-112-203−3-113−30033−3−3000-2200-22−33−33-1103−300000001-1−33001-10000000
χ432-2-22-12-22-2-212-112-2-11-11-212-1000-112-20−33-11−3300−3−3330002-2002-2−33−33-110−330000000-11−3300-110000000
χ442-2-22-12-22-2-212-112-2-11-11-212-1000-112-20−33-11−3300−3−333000-2200-223−33−3-110−3300000001-13−3001-10000000
χ452-2-22-12-22-2-212-11-22-11-11-212-10001-1-2203−3-11−3300−3−3330002-200-223−33−31-103−30000000-11−33001-10000000
χ462-2-22-12-22-2-212-11-22-11-11-212-10001-1-2203−3-11−3300−3−333000-22002-2−33−331-103−300000001-13−300-110000000
χ472-2-22-12-22-2-212-11-22-11-11-212-10001-1-220−33-113−30033−3−30002-200-22−33−331-10−330000000-113−3001-10000000
χ482-2-22-12-22-2-212-11-22-11-11-212-10001-1-220−33-113−30033−3−3000-22002-23−33−31-10−3300000001-1−3300-110000000
χ4944444-2-4-4-2-24-24400-2-2-2-22-42-44400000000220000000000-400-2-2000000000000000002000000000000000
χ5044444-2-4-4-2-24-24400-2-2-2-22-42-4-4-4000000002200000000004002200000000000000000-2000000000000000
χ514444-24-4-444-24-2-200-2-2-2-2-42-42000000000022000000004-40000000-2-222000000000000000000000000000
χ524444-24-4-444-24-2-200-2-2-2-2-42-4200000000002200000000-44000000022-2-2000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-24-2-211-2-2-2-21111000000000000011-2110000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-2-2-2-422112222-1-1-1-10000000000000112-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20042222-4-2-2112222-1-1-1-10000000000000-1-1-2110000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-4222242211-2-2-2-211110000000000000-1-12-1-10000000000000000000000
χ5744-4-444004-44-4-4-40044-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5844-4-444004-44-4-4-40044-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ594-44-44400-44-4-4-44004-4-4400004-4000000000000000000000004-4000000000000000000000000000000000
χ604-44-44400-44-4-4-44004-4-440000-4400000000000000000000000-44000000000000000000000000000000000
χ614-44-44-2002-2-42-4400-222-200004-4000000000000i6−i6i6−i6i6−i600000-220000000000000000000000i6−i6000000000
χ624-44-44-2002-2-42-4400-222-200004-4000000000000−i6i6−i6i6−i6i600000-220000000000000000000000−i6i6000000000
χ634-44-44-2002-2-42-4400-222-20000-44000000000000i6−i6i6−i6i6−i6000002-20000000000000000000000−i6i6000000000
χ644-44-44-2002-2-42-4400-222-20000-44000000000000−i6i6−i6i6−i6i6000002-20000000000000000000000i6−i6000000000
χ654-4-44444-4-4-4-444-4004-44-444-4-40000000000-44000000000000000000000000000000000000000000000000
χ664-4-444-24-422-4-24-400-22-22-242-400000000002-200000000000000000000000000000−2i32i300000000000000000
χ674-4-444-24-422-4-24-400-22-22-242-400000000002-2000000000000000000000000000002i3−2i300000000000000000
χ684-4-444-2-4422-4-24-44-4-22-222-4-240004-4-22000-22000000000000000000000-220000000000000000000000000
χ694-4-444-2-4422-4-24-4-44-22-222-4-24000-442-2000-220000000000000000000002-20000000000000000000000000
χ704-4-44-244-4-4-424-2200-22-224-2-4200000000002-20000000000000000023−23−2323000000000000000000000000000
χ714-4-44-244-4-4-424-2200-22-224-2-4200000000002-200000000000000000−232323−23000000000000000000000000000
χ724-4-44-2-2-44222-2-224-41-11-122-2-2000-22-22023−231-123−2300−3−33300000000000001-10−330000000000000000000000
χ734-4-44-2-2-44222-2-224-41-11-122-2-2000-22-220−23231-1−23230033−3−300000000000001-103−30000000000000000000000
χ744-4-44-2-2-44222-2-22-441-11-122-2-20002-22-2023−231-1−23230033−3−30000000000000-110−330000000000000000000000
χ754-4-44-2-2-44222-2-22-441-11-122-2-20002-22-20−23231-123−2300−3−3330000000000000-1103−30000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-400-4484-8-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-48008-8-4-84400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44440022-2-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ8088-8-8-4-400-44-44440022-2-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ818-88-8-4800-884-84-400-444-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4444-4002-2-220000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ838-88-8-4-4004-4444-4002-2-22000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ848-8-88-4-48-8444-4-44002-22-2-4-4440000000000-22000000000000000000000000000000000000000000000000

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