Finite Group Databasebeta

← Group #11884139

Character table — Group #11884139

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order122233446666662236661212121246666812121212242424242424242424444488881212121212126612121222444612121212121224242424412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-11111111-1-1-1111-1-1-1-11111-1-1-11-1-1-1
χ3111111111111111111111111111111111111111111-111-111-1-1111111-1-111111-1-11-1-1-11111-1-1-1-111-1-1-1-1-1
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
χ5111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-11111-11-1-11111-1-1-1-11-11-1-1
χ6111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1-1-11-1111-1-111-1-111-1-1-111
χ7111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1-11-11-1-1-111-1-111-1-1-11-111
χ8111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111-1-11-111-1-1-1-11111111-1-1
χ911111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111111-1-11111-1-1-1-1-1-1-1-111-11-1
χ1011111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-111-1-1111-1-11-111-1-111-1-1-1-111-111-11
χ1111111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1111-1-1-11-1-111-1-11111-1-1-1-11-11
χ1211111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111-1-11-1
χ1311111111111111-1-111111111-1-1-1-1-11-1-111111111111111-1-11111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-11
χ1411111111111111-1-111111111-1-1-1-1-11-1-111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111-1
χ1511111111111111-1-111111111-1-1-1-1-11-1-11111111111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1111-1
χ1611111111111111-1-111111111-1-1-1-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-11
χ17222222-2-2222222002222-2-2-2-200000000-2-20000000022-2-200000022-2-2-2-2000002200020000000000-20000
χ18222222-2-2222222002222-2-2-2-200000000-2-2000000002-22-2000000-2-222-2-200000-2-20002000000000020000
χ19222222-2-2222222002222-2-2-2-200000000-2-200000000-22-2200000022-2-22200000-2-2000-2000000000020000
χ20222222-2-2222222002222-2-2-2-200000000-2-200000000-2-222000000-2-222220000022000-20000000000-20000
χ2122222-122-1-1222-122-1-1-1-12-12-1222-1-1222-1-122-1-1-1-1-1-120020022000000-1-1-1-1-1-1-100022-10000-1-1-1-1000-1000
χ2222222-122-1-1222-122-1-1-1-12-12-1222-1-1222-1-122-1-1-1-1-1-1-200-200-2-200000011-1-1-1-1-1000-2-21000011110001000
χ2322222-122-1-1222-122-1-1-1-12-12-1-222-1-1-2-2-2-1-1-2-2111111200200-2-2000000-1-1-1-11110002-2-10000-1-1110001000
χ2422222-122-1-1222-122-1-1-1-12-12-1-222-1-1-2-2-2-1-1-2-2111111-200-2002200000011-1-1111000-221000011-1-1000-1000
χ2522222-122-1-1222-1-2-2-1-1-1-12-12-12-2-211-222-1-1-2-2111111200200-2-2000000-1-111-1-1-1000-22-100001111000-1000
χ2622222-122-1-1222-1-2-2-1-1-1-12-12-12-2-211-222-1-1-2-2111111-200-200220000001111-1-1-10002-210000-1-1-1-10001000
χ2722222-122-1-1222-1-2-2-1-1-1-12-12-1-2-2-2112-2-2-1-122-1-1-1-1-1-120020022000000-1-111111000-2-2-1000011-1-10001000
χ2822222-122-1-1222-1-2-2-1-1-1-12-12-1-2-2-2112-2-2-1-122-1-1-1-1-1-1-200-200-2-200000011111110002210000-1-111000-1000
χ292222-122222-1-1-1222-1-1-1-1-12-122-1-1222-1-1-1-1-1-122-1-1-1-10220220022-1-1-1-100-1-12-1-1002000-1-1-1-10000-1-100000
χ302222-122222-1-1-1222-1-1-1-1-12-122-1-1222-1-1-1-1-1-122-1-1-1-10-2-20-2-200-2-2111100-1-12-1-100-2000111100001100000
χ312222-122222-1-1-1222-1-1-1-1-12-12-2-1-122-211-1-111-2-211110220-2-200-2-2-1-1-1-100-1-1-21100200011-1-100001100000
χ322222-122222-1-1-1222-1-1-1-1-12-12-2-1-122-211-1-111-2-211110-2-20220022111100-1-1-21100-2000-1-1110000-1-100000
χ332222-122222-1-1-12-2-2-1-1-1-1-12-12211-2-2-2-1-1-1-111-2-2111102202200-2-2-1-1-1-100112-1-100-2000-1-11100001100000
χ342222-122222-1-1-12-2-2-1-1-1-1-12-12211-2-2-2-1-1-1-111-2-211110-2-20-2-20022111100112-1-100200011-1-10000-1-100000
χ352222-122222-1-1-12-2-2-1-1-1-1-12-12-211-2-2211-1-1-1-122-1-1-1-10220-2-20022-1-1-1-10011-21100-200011110000-1-100000
χ362222-122222-1-1-12-2-2-1-1-1-1-12-12-211-2-2211-1-1-1-122-1-1-1-10-2-202200-2-211110011-211002000-1-1-1-100001100000
χ372-2-2222-22-2-2-22-222-22-22-2-2-22202-22-20002-20000000000002-2002-20000002-20000000002-20000002-200000
χ382-2-2222-22-2-2-22-222-22-22-2-2-22202-22-20002-2000000000000-2200-220000002-2000000000-22000000-2200000
χ392-2-2222-22-2-2-22-22-222-22-2-2-2220-22-220002-20000000000002-200-22000000-220000000002-2000000-2200000
χ402-2-2222-22-2-2-22-22-222-22-2-2-2220-22-220002-2000000000000-22002-2000000-22000000000-220000002-200000
χ412-2-22-12-22-2-21-1122-2-11-111-2-120-112-203−3-113−30033−3−300002-2002-23−33−300-1103−3000000-113−30000-1100000
χ422-2-22-12-22-2-21-1122-2-11-111-2-120-112-203−3-113−30033−3−30000-2200-22−33−3300-1103−30000001-1−3300001-100000
χ432-2-22-12-22-2-21-1122-2-11-111-2-120-112-20−33-11−3300−3−33300002-2002-2−33−3300-110−33000000-11−330000-1100000
χ442-2-22-12-22-2-21-1122-2-11-111-2-120-112-20−33-11−3300−3−3330000-2200-223−33−300-110−330000001-13−300001-100000
χ452-2-22-12-22-2-21-112-22-11-111-2-1201-1-2203−3-11−3300−3−33300002-200-223−33−3001-103−3000000-11−3300001-100000
χ462-2-22-12-22-2-21-112-22-11-111-2-1201-1-2203−3-11−3300−3−3330000-22002-2−33−33001-103−30000001-13−30000-1100000
χ472-2-22-12-22-2-21-112-22-11-111-2-1201-1-220−33-113−30033−3−300002-200-22−33−33001-10−33000000-113−300001-100000
χ482-2-22-12-22-2-21-112-22-11-111-2-1201-1-220−33-113−30033−3−30000-22002-23−33−3001-10−330000001-1−330000-1100000
χ4944444-2-4-4-2-2444-200-2-2-2-2-42-42000000002200000000400-40000000000220000000000-2000000000000000
χ5044444-2-4-4-2-2444-200-2-2-2-2-42-42000000002200000000-40040000000000-2-200000000002000000000000000
χ514444-24-4-444-2-2-2400-2-2-2-22-42-400000000220000000004-40000000-2-2220000000000000000000000000000
χ524444-24-4-444-2-2-2400-2-2-2-22-42-40000000022000000000-44000000022-2-20000000000000000000000000000
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
χ5744-4-444004-44-4-4-40044-4-400000000000000000000000000000000000000000004-40000000000000000000
χ5844-4-444004-44-4-4-40044-4-40000000000000000000000000000000000000000000-440000000000000000000
χ594-44-44400-44-4-44-4004-4-440000000000000000000000000000−2i22i20000000000000000000000000−2i22i20000000
χ604-44-44400-44-4-44-4004-4-4400000000000000000000000000002i2−2i200000000000000000000000002i2−2i20000000
χ614-44-44-2002-2-4-44200-222-20000000000000000i6−i6i6−i6i6−i6000000−2i22i200000023−2300000000000000000i2−i20000000
χ624-44-44-2002-2-4-44200-222-20000000000000000i6−i6i6−i6i6−i60000002i2−2i2000000−232300000000000000000−i2i20000000
χ634-44-44-2002-2-4-44200-222-20000000000000000−i6i6−i6i6−i6i6000000−2i22i2000000−232300000000000000000i2−i20000000
χ644-44-44-2002-2-4-44200-222-20000000000000000−i6i6−i6i6−i6i60000002i2−2i200000023−2300000000000000000−i2i20000000
χ654-4-44444-4-4-4-44-44004-44-444-4-400000000-4400000000000000000000000000000000000000000000000000
χ664-4-444-24-422-44-4-200-22-224-2-42000000002-2000000000000000000000000000000000000000−2i32i3000000000
χ674-4-444-24-422-44-4-200-22-224-2-42000000002-20000000000000000000000000000000000000002i3−2i3000000000
χ684-4-444-2-4422-44-4-24-4-22-22-424-204-4-22000-22000000000000000000000000-22000000000000000000000000
χ694-4-444-2-4422-44-4-2-44-22-22-424-20-442-2000-220000000000000000000000002-2000000000000000000000000
χ704-4-44-244-4-4-42-22400-22-22-242-4000000002-200000000000000000023−23−23230000000000000000000000000000
χ714-4-44-244-4-4-42-22400-22-22-242-4000000002-2000000000000000000−232323−230000000000000000000000000000
χ724-4-44-2-2-44222-22-24-41-11-122-2-20-22-22023−231-123−2300−3−33300000000000000001-10−33000000000000000000000
χ734-4-44-2-2-44222-22-24-41-11-122-2-20-22-220−23231-1−23230033−3−300000000000000001-103−3000000000000000000000
χ744-4-44-2-2-44222-22-2-441-11-122-2-202-22-2023−231-1−23230033−3−30000000000000000-110−33000000000000000000000
χ754-4-44-2-2-44222-22-2-441-11-122-2-202-22-20−23231-123−2300−3−3330000000000000000-1103−3000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-400-448-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-48008-8-444-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44440022-2-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-44440022-2-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ818-88-8-4800-8844-4-800-444-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-44002-2-2200000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000000
χ838-88-8-4-4004-444-44002-2-220000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000000
χ848-8-88-4-48-8444-44-4002-22-2-4-44400000000-2200000000000000000000000000000000000000000000000000

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