Finite Group Databasebeta

← Group #11889233

Character table — Group #11889233

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order122233446666662236661212121246666812121212242424242424242424444466888812121212661212124424466121212121224242424212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-111111-1-11-11111-1-1-1-111-1-1-11-1-1-1
χ3111111111111111111111111111111111111111111-11111-1-1-1-1-111111111111-1-1-11-1-1-1-11111-1-111-1-1-1-1-1
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
χ5111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-111-1-1-1-1-11-1-111111-1-1-1-111-1-11-11
χ6111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-1-11111-1111-1-111-1-1-1-11-1-11-1
χ7111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1-111-1-11-1-1-111-1-1111111-11-1
χ8111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-111-11
χ911111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111-1-11-1-1111-1-1-1-1-1-1111-1-1
χ1011111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1111-1-1-111-1-11-1-111-1-111-11-111
χ1111111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1111-1-11-1-111-111-1-111-1-1-1-1-111
χ1211111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-111-1-1-11111111-11-1-1
χ1311111111111111-1-111111111-1-1-1-1-11-1-11111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1-1-111-1
χ1411111111111111-1-111111111-1-1-1-1-11-1-111111111111-1-11111111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-11-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-111-1-11
χ1611111111111111-1-111111111-1-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-111-1111-1
χ17222222-2-2222222002222-2-2-2-200000000-2-2000000002002-2-2220000-2-222000002200000-200000000-20000
χ18222222-2-2222222002222-2-2-2-200000000-2-200000000200-22-222000022-2-200000-2-200000-20000000020000
χ19222222-2-2222222002222-2-2-2-200000000-2-200000000-2002-22-2-20000-2-22200000-2-20000020000000020000
χ20222222-2-2222222002222-2-2-2-200000000-2-200000000-200-222-2-2000022-2-2000002200000200000000-20000
χ2122222-122-122-1-1222-1-1-1-12-12-1222-1-1222-1-122-1-1-1-1-1-1200002-1-122000000-1-1-1-1-100202-1-1-10000-1-1000-1000
χ2222222-122-122-1-1222-1-1-1-12-12-1222-1-1222-1-122-1-1-1-1-1-1-20000-211-2-2000000-1-1-1-1-100-20-21110000110001000
χ2322222-122-122-1-1222-1-1-1-12-12-1-222-1-1-2-2-2-1-1-2-2111111200002-1-1-2-2000000-1-11110020-2-1-1-10000110001000
χ2422222-122-122-1-1222-1-1-1-12-12-1-222-1-1-2-2-2-1-1-2-2111111-20000-21122000000-1-111100-2021110000-1-1000-1000
χ2522222-122-122-1-12-2-2-1-1-1-12-12-12-2-211-222-1-1-2-2111111200002-1-1-2-200000011-1-1-100-20211-1000011000-1000
χ2622222-122-122-1-12-2-2-1-1-1-12-12-12-2-211-222-1-1-2-2111111-20000-2112200000011-1-1-10020-2-1-110000-1-10001000
χ2722222-122-122-1-12-2-2-1-1-1-12-12-1-2-2-2112-2-2-1-122-1-1-1-1-1-1200002-1-1220000001111100-20-211-10000-1-10001000
χ2822222-122-122-1-12-2-2-1-1-1-12-12-1-2-2-2112-2-2-1-122-1-1-1-1-1-1-20000-211-2-20000001111100202-1-11000011000-1000
χ292222-12222-1-122-122-1-1-1-1-12-122-1-1222-1-1-1-1-1-122-1-1-1-1022220000022-1-1-1-1-1-12-1-100020000-1-1-1-100-1-100000
χ302222-12222-1-122-122-1-1-1-1-12-122-1-1222-1-1-1-1-1-122-1-1-1-10-2-2-2-200000-2-21111-1-12-1-1000-200001111001100000
χ312222-12222-1-122-122-1-1-1-1-12-12-2-1-122-211-1-111-2-21111022-2-200000221111-1-1-211000-20000-1-11100-1-100000
χ322222-12222-1-122-122-1-1-1-1-12-12-2-1-122-211-1-111-2-211110-2-22200000-2-2-1-1-1-1-1-1-2110002000011-1-1001100000
χ332222-12222-1-122-1-2-2-1-1-1-1-12-12211-2-2-2-1-1-1-111-2-211110222200000-2-2-1-1-1-1112-1-1000-20000-1-111001100000
χ342222-12222-1-122-1-2-2-1-1-1-1-12-12211-2-2-2-1-1-1-111-2-211110-2-2-2-200000221111112-1-10002000011-1-100-1-100000
χ352222-12222-1-122-1-2-2-1-1-1-1-12-12-211-2-2211-1-1-1-122-1-1-1-1022-2-200000-2-2111111-21100020000-1-1-1-1001100000
χ362222-12222-1-122-1-2-2-1-1-1-1-12-12-211-2-2211-1-1-1-122-1-1-1-10-2-2220000022-1-1-1-111-211000-20000111100-1-100000
χ372-2-22222-2-22-22-2-22-22-2-2222-2-202-22-2000-220000000002i−2i00000002i−2i00002-2000000000002i−2i00002i−2i00000
χ382-2-22222-2-22-22-2-22-22-2-2222-2-202-22-2000-22000000000−2i2i0000000−2i2i00002-200000000000−2i2i0000−2i2i00000
χ392-2-22222-2-22-22-2-2-222-2-2222-2-20-22-22000-220000000002i−2i0000000−2i2i0000-22000000000002i−2i0000−2i2i00000
χ402-2-22222-2-22-22-2-2-222-2-2222-2-20-22-22000-22000000000−2i2i00000002i−2i0000-2200000000000−2i2i00002i−2i00000
χ412-2-22-122-2-2-112-212-2-111-1-121-20-112-20−i3i31-1−i3i300−i3−i3i3i302i−2i00000002i−2i3−33−3-110−i3i300000000−ii3−300−ii00000
χ422-2-22-122-2-2-112-212-2-111-1-121-20-112-20−i3i31-1−i3i300−i3−i3i3i30−2i2i0000000−2i2i−33−33-110−i3i300000000i−i−3300i−i00000
χ432-2-22-122-2-2-112-212-2-111-1-121-20-112-20i3−i31-1i3−i300i3i3−i3−i302i−2i00000002i−2i−33−33-110i3−i300000000−ii−3300−ii00000
χ442-2-22-122-2-2-112-212-2-111-1-121-20-112-20i3−i31-1i3−i300i3i3−i3−i30−2i2i0000000−2i2i3−33−3-110i3−i300000000i−i3−300i−i00000
χ452-2-22-122-2-2-112-21-22-111-1-121-201-1-220−i3i31-1i3−i300i3i3−i3−i302i−2i0000000−2i2i3−33−31-10−i3i300000000−ii−3300i−i00000
χ462-2-22-122-2-2-112-21-22-111-1-121-201-1-220−i3i31-1i3−i300i3i3−i3−i30−2i2i00000002i−2i−33−331-10−i3i300000000i−i3−300−ii00000
χ472-2-22-122-2-2-112-21-22-111-1-121-201-1-220i3−i31-1−i3i300−i3−i3i3i302i−2i0000000−2i2i−33−331-10i3−i300000000−ii3−300i−i00000
χ482-2-22-122-2-2-112-21-22-111-1-121-201-1-220i3−i31-1−i3i300−i3−i3i3i30−2i2i00000002i−2i3−33−31-10i3−i300000000i−i−3300−ii00000
χ4944444-2-4-4-244-2-2400-2-2-2-2-42-4200000000220000000040000-4-2-20000000000000000000020000000000000
χ5044444-2-4-4-244-2-2400-2-2-2-2-42-42000000002200000000-4000042200000000000000000000-20000000000000
χ514444-24-4-44-2-244-200-2-2-2-22-42-40000000022000000000004-4000000022-2-200000000000000000000000000
χ524444-24-4-44-2-244-200-2-2-2-22-42-4000000002200000000000-440000000-2-22200000000000000000000000000
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
χ5744-4-444004-4-4-4-440044-4-4000000000000000000000000000000−2i22i200000000000000000000000−2i22i20000000
χ5844-4-444004-4-4-4-440044-4-40000000000000000000000000000002i2−2i2000000000000000000000002i2−2i20000000
χ5944-4-44-200-2-4-422400-2-22200000000000000006−66−66−6000000−2i32i3−2i22i200000000000000000000000i2−i20000000
χ6044-4-44-200-2-4-422400-2-22200000000000000006−66−66−60000002i3−2i32i2−2i200000000000000000000000−i2i20000000
χ6144-4-44-200-2-4-422400-2-2220000000000000000−66−66−66000000−2i32i32i2−2i200000000000000000000000−i2i20000000
χ6244-4-44-200-2-4-422400-2-2220000000000000000−66−66−660000002i3−2i3−2i22i200000000000000000000000i2−i20000000
χ634-44-44400-4-44-44-4004-44-400000000000000000000000000000000000000000004i−4i0000000000000000000
χ644-44-44400-4-44-44-4004-44-40000000000000000000000000000000000000000000−4i4i0000000000000000000
χ654-4-4444-44-44-44-4-4004-4-44-4-444000000004-400000000000000000000000000000000000000000000000000
χ664-4-444-24-424-4-22-44-4-222-24-2-4204-4-220002-2000000000000000000000000-22000000000000000000000000
χ674-4-444-24-424-4-22-4-44-222-24-2-420-442-20002-20000000000000000000000002-2000000000000000000000000
χ684-4-444-2-4424-4-22-400-222-2-424-200000000-220000000000000000000000000000000000−2i32i300000000000000
χ694-4-444-2-4424-4-22-400-222-2-424-200000000-2200000000000000000000000000000000002i3−2i300000000000000
χ704-4-44-24-44-4-224-4200-222-22-4-2400000000-220000000000000000000023−23−232300000000000000000000000000
χ714-4-44-24-44-4-224-4200-222-22-4-2400000000-2200000000000000000000−232323−2300000000000000000000000000
χ724-4-44-2-24-42-22-2224-41-1-11-2-2220-22-220−2i32i3-11−2i32i300i3i3−i3−i300000000000000001-10i3−i3000000000000000000000
χ734-4-44-2-24-42-22-2224-41-1-11-2-2220-22-2202i3−2i3-112i3−2i300−i3−i3i3i300000000000000001-10−i3i3000000000000000000000
χ744-4-44-2-24-42-22-222-441-1-11-2-22202-22-20−2i32i3-112i3−2i300−i3−i3i3i30000000000000000-110i3−i3000000000000000000000
χ754-4-44-2-24-42-22-222-441-1-11-2-22202-22-202i3−2i3-11−2i32i300i3i3−i3−i30000000000000000-110−i3i3000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-8-4800844-8-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44444-40022-2-2000000000000000026−26−66−66000000000000000000000000000000000000000000
χ7988-8-8-4-400-44444-40022-2-20000000000000000−26266−66−6000000000000000000000000000000000000000000
χ808-88-88-4004-884-4-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-84-4-88400-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-44002-22-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ838-88-8-4-40044-44-44002-22-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ848-8-88-4-4-884-44-444002-2-2244-4-4000000002-200000000000000000000000000000000000000000000000000

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