Finite Group Databasebeta

← Group #11884294

Character table — Group #11884294

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order1222334466666622366612121212466668121212122424242424242424222444668888121212126612121244244666612121224242424212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-111-1-1-111-1-1111111111-1-1-11-111-1-111-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11-1-1111-1-111-1-1-1-111111-1-11-11-1-111-1-11-1-111-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1111-1-1-1-11-11
χ6111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1111-1-1-1-1-1111111-11-1
χ7111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-11111-1-1-111111-1-1-1-11-1-11-1
χ8111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-111-111-11
χ911111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111-1-1111-1-1-1-11-1-1-1-1111-1-1
χ1011111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1111111-1-1111-1-11-1-11111-1-1-1-1-111-1-1-111
χ1111111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111111-1-1-11-111
χ1211111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-11111-111111-11-1-1
χ1311111111111111-1-111111111-1-1-1-1-11-1-11111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-111-1-111-1
χ1411111111111111-1-111111111-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-111-1-11
χ1511111111111111-1-111111111-1-1-1-1-11-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11
χ1611111111111111-1-111111111-1-1-1-1-11-1-11111111111-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-111-1-1-111-1-1-1111-1
χ17222222-2-2222222002222-2-2-2-200000000-2-2000000000022-2-222000022-2-200000-2-2000000000-2000020000
χ18222222-2-2222222002222-2-2-2-200000000-2-200000000002-22-2220000-2-2220000022000000000-20000-20000
χ19222222-2-2222222002222-2-2-2-200000000-2-20000000000-22-22-2-2000022-2-2000002200000000020000-20000
χ20222222-2-2222222002222-2-2-2-200000000-2-20000000000-2-222-2-20000-2-22200000-2-20000000002000020000
χ2122222-122-12-122-122-1-1-1-12-12-1222-1-1222-1-122-1-1-1-1-1-1002002-1-100220000-1-1-1-1-10020200-1-100-100-1-10-1000
χ2222222-122-12-122-122-1-1-1-12-12-1222-1-1222-1-122-1-1-1-1-1-100-200-21100-2-20000-1-1-1-1-100-20-20011001001101000
χ2322222-122-12-122-122-1-1-1-12-12-1-222-1-1-2-2-2-1-1-2-2111111002002-1-100-2-20000-1-11110020-200-1-100-1001101000
χ2422222-122-12-122-122-1-1-1-12-12-1-222-1-1-2-2-2-1-1-2-211111100-200-21100220000-1-111100-202001100100-1-10-1000
χ2522222-122-12-122-1-2-2-1-1-1-12-12-12-2-211-222-1-1-2-2111111002002-1-100-2-2000011-1-1-100-202001100-100110-1000
χ2622222-122-12-122-1-2-2-1-1-1-12-12-12-2-211-222-1-1-2-211111100-200-2110022000011-1-1-10020-200-1-100100-1-101000
χ2722222-122-12-122-1-2-2-1-1-1-12-12-1-2-2-2112-2-2-1-122-1-1-1-1-1-1002002-1-1002200001111100-20-2001100-100-1-101000
χ2822222-122-12-122-1-2-2-1-1-1-12-12-1-2-2-2112-2-2-1-122-1-1-1-1-1-100-200-21100-2-20000111110020200-1-100100110-1000
χ292222-12222-12-1-1222-1-1-1-1-12-122-1-1222-1-1-1-1-1-122-1-1-1-1220220002200-1-1-1-1-1-12-1-100020-1-100-1-10-1-10000000
χ302222-12222-12-1-1222-1-1-1-1-12-122-1-1222-1-1-1-1-1-122-1-1-1-1-2-20-2-2000-2-2001111-1-12-1-1000-201100110110000000
χ312222-12222-12-1-1222-1-1-1-1-12-12-2-1-122-211-1-111-2-21111220-2-200022001111-1-1-211000-20-1-100110-1-10000000
χ322222-12222-12-1-1222-1-1-1-1-12-12-2-1-122-211-1-111-2-21111-2-2022000-2-200-1-1-1-1-1-1-211000201100-1-10110000000
χ332222-12222-12-1-12-2-2-1-1-1-1-12-12211-2-2-2-1-1-1-111-2-2111122022000-2-200-1-1-1-1112-1-1000-20-1-100110110000000
χ342222-12222-12-1-12-2-2-1-1-1-1-12-12211-2-2-2-1-1-1-111-2-21111-2-20-2-200022001111112-1-1000201100-1-10-1-10000000
χ352222-12222-12-1-12-2-2-1-1-1-1-12-12-211-2-2211-1-1-1-122-1-1-1-1220-2-2000-2-200111111-21100020-1-100-1-10110000000
χ362222-12222-12-1-12-2-2-1-1-1-1-12-12-211-2-2211-1-1-1-122-1-1-1-1-2-20220002200-1-1-1-111-211000-201100110-1-10000000
χ372-2-2222-22-22-2-2-222-22-22-2-2-22202-22-20002-2000000002-20000002-20000002-2000000002-2000002-20000000
χ382-2-2222-22-22-2-2-222-22-22-2-2-22202-22-20002-200000000-22000000-220000002-200000000-2200000-220000000
χ392-2-2222-22-22-2-2-22-222-22-2-2-2220-22-220002-2000000002-2000000-22000000-22000000002-200000-220000000
χ402-2-2222-22-22-2-2-22-222-22-2-2-2220-22-220002-200000000-220000002-2000000-2200000000-22000002-20000000
χ412-2-22-12-22-2-1-21122-2-11-111-2-120-112-203−3-113−30033−3−32-20000002-2003−33−3-1103−300000-11003−30-110000000
χ422-2-22-12-22-2-1-21122-2-11-111-2-120-112-203−3-113−30033−3−3-22000000-2200−33−33-1103−3000001-100−3301-10000000
χ432-2-22-12-22-2-1-21122-2-11-111-2-120-112-20−33-11−3300−3−3332-20000002-200−33−33-110−3300000-1100−330-110000000
χ442-2-22-12-22-2-1-21122-2-11-111-2-120-112-20−33-11−3300−3−333-22000000-22003−33−3-110−33000001-1003−301-10000000
χ452-2-22-12-22-2-1-2112-22-11-111-2-1201-1-2203−3-11−3300−3−3332-2000000-22003−33−31-103−300000-1100−3301-10000000
χ462-2-22-12-22-2-1-2112-22-11-111-2-1201-1-2203−3-11−3300−3−333-220000002-200−33−331-103−3000001-1003−30-110000000
χ472-2-22-12-22-2-1-2112-22-11-111-2-1201-1-220−33-113−30033−3−32-2000000-2200−33−331-10−3300000-11003−301-10000000
χ482-2-22-12-22-2-1-2112-22-11-111-2-1201-1-220−33-113−30033−3−3-220000002-2003−33−31-10−33000001-100−330-110000000
χ4944444-2-4-4-24-244-200-2-2-2-2-42-4200000000220000000000400-4-2-20000000000000000000000002000000000
χ5044444-2-4-4-24-244-200-2-2-2-2-42-4200000000220000000000-400422000000000000000000000000-2000000000
χ514444-24-4-44-24-2-2400-2-2-2-22-42-40000000022000000000004-40000000-2-22200000000000000000000000000
χ524444-24-4-44-24-2-2400-2-2-2-22-42-4000000002200000000000-44000000022-2-200000000000000000000000000
χ534444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-24-2-211-2-2-2-21111000000000000000011-211000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-2-2-2-422112222-1-1-1-10000000000000000112-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-41111-2-2-2-242222-4-2-2112222-1-1-1-10000000000000000-1-1-211000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-4222242211-2-2-2-211110000000000000000-1-12-1-1000000000000000000000
χ5744-4-44400-4-444-4-4004-4-4400000000000000000000000000000000000000000004i−4i0000000000000000000
χ5844-4-44400-4-444-4-4004-4-440000000000000000000000000000000000000000000−4i4i0000000000000000000
χ594-44-444004-4-4-44-40044-4-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000
χ604-44-444004-4-4-44-40044-4-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000
χ614-44-44-200-2-42-44200-2-22200000000000000006−66−66−6000000−2i32i300−2i22i200000000000000000000000i2−i200000
χ624-44-44-200-2-42-44200-2-22200000000000000006−66−66−60000002i3−2i3002i2−2i200000000000000000000000−i2i200000
χ634-44-44-200-2-42-44200-2-2220000000000000000−66−66−66000000−2i32i3002i2−2i200000000000000000000000−i2i200000
χ644-44-44-200-2-42-44200-2-2220000000000000000−66−66−660000002i3−2i300−2i22i200000000000000000000000i2−i200000
χ654-4-44444-4-44-4-4-44004-44-444-4-400000000-4400000000000000000000000000000000000000000000000000
χ664-4-444-24-4242-4-4-200-22-224-2-42000000002-2000000000000000000000000000000000000−2i32i3000000000000
χ674-4-444-24-4242-4-4-200-22-224-2-42000000002-20000000000000000000000000000000000002i3−2i3000000000000
χ684-4-444-2-44242-4-4-24-4-22-22-424-204-4-22000-22000000000000000000000000-22000000000000000000000000
χ694-4-444-2-44242-4-4-2-44-22-22-424-20-442-2000-220000000000000000000000002-2000000000000000000000000
χ704-4-44-244-4-4-2-422400-22-22-242-4000000002-20000000000000000000023−23−232300000000000000000000000000
χ714-4-44-244-4-4-2-422400-22-22-242-4000000002-200000000000000000000−232323−2300000000000000000000000000
χ724-4-44-2-2-442-2222-24-41-11-122-2-20-22-22023−231-123−2300−3−33300000000000000001-10−33000000000000000000000
χ734-4-44-2-2-442-2222-24-41-11-122-2-20-22-220−23231-1−23230033−3−300000000000000001-103−3000000000000000000000
χ744-4-44-2-2-442-2222-2-441-11-122-2-202-22-2023−231-1−23230033−3−30000000000000000-110−33000000000000000000000
χ754-4-44-2-2-442-2222-2-441-11-122-2-202-22-20−23231-123−2300−3−3330000000000000000-1103−3000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-4004-8-48-8400-444-40000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800-848-44-800-444-40000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40044-4-444002-2-2200000000000000000032−32−3232000000000000000000000000000000000000000000
χ8088-8-8-4-40044-4-444002-2-22000000000000000000−323232−32000000000000000000000000000000000000000000
χ818-88-8-480084-84-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-4444-440022-2-2000000000000000026−26−66−66000000000000000000000000000000000000000000
χ838-88-8-4-400-4444-440022-2-20000000000000000−26266−66−6000000000000000000000000000000000000000000
χ848-8-88-4-48-84-4444-4002-22-2-4-44400000000-2200000000000000000000000000000000000000000000000000

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