Finite Group Databasebeta

← Group #11884605

Character table — Group #11884605

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order122233446666662236661212121244466668121212122424242424242424244448812121212121266121212444681212121212122424242424881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-11111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-111-11-1-1-11111-1-1-1-111-1-1-1-11
χ411111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-11-1
χ5111111111111111111111111-1-1111111111111111111-11111111111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1
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
χ7111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-11-11-11-1-111-1-111-1-1-1-11111-1
χ8111111111111111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11-1111-1-1-1-1111111-1-11-11
χ911111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111111-1-1111-1-111-111-1-1-1-1-1-1-1-111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-11111-111-1-1-111-1-1-1-111-1-1111-11
χ1111111111111111-1-11111111111-1-1-1-1-11-1-11111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-11-1-111111111111-1-111-1-1-1-1-1-111-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-11-1-1111-1-11111-1-1-1-111-1-11
χ1411111111111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-11111111111-1-1-11-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111
χ1611111111111111-1-111111111-1-1-1-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111111-1-1
χ17222222-2-2222222002222-2-2-2-22200000000-2-200000000-22-2000022-2-22200000000-2000000000002-200000
χ18222222-2-2222222002222-2-2-2-22200000000-2-200000000-2-220000-2-2222200000000-200000000000-2200000
χ19222222-2-2222222002222-2-2-2-2-2-200000000-2-20000000022-2000022-2-2-2-200000000200000000000-2200000
χ20222222-2-2222222002222-2-2-2-2-2-200000000-2-2000000002-220000-2-222-2-2000000002000000000002-200000
χ2122222-122-1-1222-122-1-1-1-12-12-122222-1-1222-1-122-1-1-1-1-1-120000000000-1-1-1-1-1-1-1022-120000-1-1-1-1000000-100
χ2222222-122-1-1222-122-1-1-1-12-12-122-222-1-1-2-2-2-1-1-2-211111120000000000-1-1-1-111102-2-1-20000-1-111000000100
χ2322222-122-1-1222-122-1-1-1-12-12-1-2-2222-1-1222-1-122-1-1-1-1-1-1-2000000000011-1-1-1-1-10-2-21-200001111000000100
χ2422222-122-1-1222-122-1-1-1-12-12-1-2-2-222-1-1-2-2-2-1-1-2-2111111-2000000000011-1-11110-2212000011-1-1000000-100
χ2522222-122-1-1222-1-2-2-1-1-1-12-12-1222-2-211-222-1-1-2-211111120000000000-1-111-1-1-10-22-1-200001111000000-100
χ2622222-122-1-1222-1-2-2-1-1-1-12-12-122-2-2-2112-2-2-1-122-1-1-1-1-1-120000000000-1-1111110-2-2-12000011-1-1000000100
χ2722222-122-1-1222-1-2-2-1-1-1-12-12-1-2-22-2-211-222-1-1-2-2111111-200000000001111-1-1-102-2120000-1-1-1-1000000100
χ2822222-122-1-1222-1-2-2-1-1-1-12-12-1-2-2-2-2-2112-2-2-1-122-1-1-1-1-1-1-2000000000011111110221-20000-1-111000000-100
χ292222-122222-1-1-1222-1-1-1-1-12-12002-1-1222-1-1-1-1-1-122-1-1-1-10222222-1-1-1-100-1-12-1-120000-1-1-1-10000-1-10000000
χ302222-122222-1-1-1222-1-1-1-1-12-12002-1-1222-1-1-1-1-1-122-1-1-1-10-2-2-2-2-2-2111100-1-12-1-1-2000011110000110000000
χ312222-122222-1-1-1222-1-1-1-1-12-1200-2-1-122-211-1-111-2-21111022-2-2-2-2-1-1-1-100-1-1-2112000011-1-10000110000000
χ322222-122222-1-1-1222-1-1-1-1-12-1200-2-1-122-211-1-111-2-211110-2-22222111100-1-1-211-20000-1-1110000-1-10000000
χ332222-122222-1-1-12-2-2-1-1-1-1-12-1200211-2-2-2-1-1-1-111-2-2111102222-2-2-1-1-1-100112-1-1-20000-1-1110000110000000
χ342222-122222-1-1-12-2-2-1-1-1-1-12-1200211-2-2-2-1-1-1-111-2-211110-2-2-2-222111100112-1-12000011-1-10000-1-10000000
χ352222-122222-1-1-12-2-2-1-1-1-1-12-1200-211-2-2211-1-1-1-122-1-1-1-1022-2-222-1-1-1-10011-211-2000011110000-1-10000000
χ362222-122222-1-1-12-2-2-1-1-1-1-12-1200-211-2-2211-1-1-1-122-1-1-1-10-2-222-2-211110011-21120000-1-1-1-10000110000000
χ372-2-2222-22-2-2-22-222-22-22-2-2-2220002-22-20002-2000000000002-22-20000002-2000000002-20000002-20000000
χ382-2-2222-22-2-2-22-222-22-22-2-2-2220002-22-20002-200000000000-22-220000002-200000000-22000000-220000000
χ392-2-2222-22-2-2-22-22-222-22-2-2-222000-22-220002-2000000000002-2-22000000-22000000002-2000000-220000000
χ402-2-2222-22-2-2-22-22-222-22-2-2-222000-22-220002-200000000000-222-2000000-2200000000-220000002-20000000
χ412-2-22-12-22-2-21-1122-2-11-111-2-12000-112-203−3-113−30033−3−30002-22-23−33−300-1103−300000-113−30000-110000000
χ422-2-22-12-22-2-21-1122-2-11-111-2-12000-112-203−3-113−30033−3−3000-22-22−33−3300-1103−3000001-1−3300001-10000000
χ432-2-22-12-22-2-21-1122-2-11-111-2-12000-112-20−33-11−3300−3−3330002-22-2−33−3300-110−3300000-11−330000-110000000
χ442-2-22-12-22-2-21-1122-2-11-111-2-12000-112-20−33-11−3300−3−333000-22-223−33−300-110−33000001-13−300001-10000000
χ452-2-22-12-22-2-21-112-22-11-111-2-120001-1-2203−3-11−3300−3−3330002-2-223−33−3001-103−300000-11−3300001-10000000
χ462-2-22-12-22-2-21-112-22-11-111-2-120001-1-2203−3-11−3300−3−333000-222-2−33−33001-103−3000001-13−30000-110000000
χ472-2-22-12-22-2-21-112-22-11-111-2-120001-1-220−33-113−30033−3−30002-2-22−33−33001-10−3300000-113−300001-10000000
χ482-2-22-12-22-2-21-112-22-11-111-2-120001-1-220−33-113−30033−3−3000-222-23−33−3001-10−33000001-1−330000-110000000
χ4944444-2-4-4-2-2444-200-2-2-2-2-42-4244000000002200000000-40000000000-2-2000000002000000000000000000
χ5044444-2-4-4-2-2444-200-2-2-2-2-42-42-4-4000000002200000000400000000002200000000-2000000000000000000
χ514444-24-4-444-2-2-2400-2-2-2-22-42-40000000000220000000004-40000-2-22200000000000000000000000000000
χ524444-24-4-444-2-2-2400-2-2-2-22-42-4000000000022000000000-44000022-2-200000000000000000000000000000
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
χ5744-4-444004-44-4-4-40044-4-40000000000000000000000000000000000000000000000000000000000022−22000
χ5844-4-444004-44-4-4-40044-4-400000000000000000000000000000000000000000000000000000000000−2222000
χ594-44-44400-44-4-44-4004-4-4400004i−4i000000000000000000000000000004i−4i000000000000000000000000000
χ604-44-44400-44-4-44-4004-4-440000−4i4i00000000000000000000000000000−4i4i000000000000000000000000000
χ614-44-44-2002-2-4-44200-222-200004i−4i000000000000i6−i6i6−i6i6−i600000000000−2i2i00000000000000006−6000000000
χ624-44-44-2002-2-4-44200-222-200004i−4i000000000000−i6i6−i6i6−i6i600000000000−2i2i0000000000000000−66000000000
χ634-44-44-2002-2-4-44200-222-20000−4i4i000000000000i6−i6i6−i6i6−i6000000000002i−2i0000000000000000−66000000000
χ644-44-44-2002-2-4-44200-222-20000−4i4i000000000000−i6i6−i6i6−i6i6000000000002i−2i00000000000000006−6000000000
χ654-4-44444-4-4-4-44-44004-44-444-4-40000000000-44000000000000000000000000000000000000000000000000
χ664-4-444-24-422-44-4-200-22-224-2-4200000000002-200000000000000000000000000000000000−2i32i300000000000
χ674-4-444-24-422-44-4-200-22-224-2-4200000000002-2000000000000000000000000000000000002i3−2i300000000000
χ684-4-444-2-4422-44-4-24-4-22-22-424-20004-4-22000-22000000000000000000000-220000000000000000000000000
χ694-4-444-2-4422-44-4-2-44-22-22-424-2000-442-2000-220000000000000000000002-20000000000000000000000000
χ704-4-44-244-4-4-42-22400-22-22-242-400000000002-200000000000000023−23−232300000000000000000000000000000
χ714-4-44-244-4-4-42-22400-22-22-242-400000000002-2000000000000000−232323−2300000000000000000000000000000
χ724-4-44-2-2-44222-22-24-41-11-122-2-2000-22-22023−231-123−2300−3−33300000000000001-10−330000000000000000000000
χ734-4-44-2-2-44222-22-24-41-11-122-2-2000-22-220−23231-1−23230033−3−300000000000001-103−30000000000000000000000
χ744-4-44-2-2-44222-22-2-441-11-122-2-20002-22-2023−231-1−23230033−3−30000000000000-110−330000000000000000000000
χ754-4-44-2-2-44222-22-2-441-11-122-2-20002-22-20−23231-123−2300−3−3330000000000000-1103−30000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-400-448-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-48008-8-444-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44440022-2-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ8088-8-8-4-400-44-44440022-2-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ818-88-8-4800-8844-4-800-444-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-44002-2-220000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ838-88-8-4-4004-444-44002-2-22000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ848-8-88-4-48-8444-44-4002-22-2-4-4440000000000-22000000000000000000000000000000000000000000000000

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