Finite Group Databasebeta

← Group #11895858

Character table — Group #11895858

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order122233446666662236661212121246666812121212242424242424242444444488881212121212126612121244244121212121212122424242446448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1111-111-1-111-1-11111111-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-11-1-1-11-1-111-1-111-1-111111-1-11-11111-1-1-1-1-1-111-11-1-1-1
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
χ5111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111111111-1-1-111-11111111-1-1-1-1-1-11-1-11-1
χ6111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-111-111-11
χ7111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-11-11
χ8111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-111111111-11-1
χ911111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1111111-1-11-1-1-1-111-1-1-1-1111-1-1
χ1011111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-1-11111-1-111-1-1111-1-1-1-11-111-1-111-1-111-1-1-111
χ1111111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-1111-1-111-11-1-111-1-111-1-1-11-111
χ1211111111111111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-11111-1-111111-11-1-1
χ1311111111111111-1-111111111-1-1-1-1-11-1-11111111111111-1-111111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-11
χ1411111111111111-1-111111111-1-1-1-1-11-1-111111111111-11-1-1-111-1-111-1-111-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1111-1
χ1511111111111111-1-111111111-1-1-1-1-11-1-11111111111-11-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-111-1
χ1611111111111111-1-111111111-1-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-11
χ17222222-2-2222222002222-2-2-2-200000000-2-20000000022-200-2000022-2-2-2-2000002200020000000000-20000
χ18222222-2-2222222002222-2-2-2-200000000-2-2000000002-2-200200002222-2-200000-2-2000-2000000000020000
χ19222222-2-2222222002222-2-2-2-200000000-2-200000000-22200-20000-2-2-2-22200000-2-20002000000000020000
χ20222222-2-2222222002222-2-2-2-200000000-2-200000000-2-220020000-2-222220000022000-20000000000-20000
χ2122222-12222-1-1-1222-1-1-1-1-122-1222-1-1222-1-122-1-1-1-1-1-1020002002200-1-100-1-1-1-1-100202-1-1-1000000-1-10-1000
χ2222222-12222-1-1-1222-1-1-1-1-122-1222-1-1222-1-122-1-1-1-1-1-10-2000-200-2-2001100-1-1-1-1-100-20-21110000001101000
χ2322222-12222-1-1-1222-1-1-1-1-122-1-222-1-1-2-2-2-1-1-2-211111102000200-2-200-1-100-1-111100-202-1-1-10000001101000
χ2422222-12222-1-1-1222-1-1-1-1-122-1-222-1-1-2-2-2-1-1-2-21111110-2000-20022001100-1-11110020-2111000000-1-10-1000
χ2522222-12222-1-1-12-2-2-1-1-1-1-122-12-2-211-222-1-1-2-211111102000200-2-200-1-10011-1-1-10020-2-111000000110-1000
χ2622222-12222-1-1-12-2-2-1-1-1-1-122-12-2-211-222-1-1-2-21111110-2000-2002200110011-1-1-100-2021-1-1000000-1-101000
χ2722222-12222-1-1-12-2-2-1-1-1-1-122-1-2-2-2112-2-2-1-122-1-1-1-1-1-1020002002200-1-1001111100-20-2-111000000-1-101000
χ2822222-12222-1-1-12-2-2-1-1-1-1-122-1-2-2-2112-2-2-1-122-1-1-1-1-1-10-2000-200-2-200110011111002021-1-1000000110-1000
χ292222-1222-1-1222-122-1-1-1-12-1-122-1-1222-1-1-1-1-1-122-1-1-1-12022202200-1-100-1-1-1-12-1-100020000-1-1-1-1-1-10000000
χ302222-1222-1-1222-122-1-1-1-12-1-122-1-1222-1-1-1-1-1-122-1-1-1-1-20-2-2-20-2-200110011-1-12-1-1000-200001111110000000
χ312222-1222-1-1222-122-1-1-1-12-1-12-2-1-122-211-1-111-2-21111202-2-20-2-200-1-100-1-1-1-1-21100020000-1-111110000000
χ322222-1222-1-1222-122-1-1-1-12-1-12-2-1-122-211-1-111-2-21111-20-22202200110011-1-1-211000-2000011-1-1-1-10000000
χ332222-1222-1-1222-1-2-2-1-1-1-12-1-12211-2-2-2-1-1-1-111-2-21111202220-2-200-1-100-1-1112-1-1000-2000011-1-1110000000
χ342222-1222-1-1222-1-2-2-1-1-1-12-1-12211-2-2-2-1-1-1-111-2-21111-20-2-2-202200110011112-1-100020000-1-111-1-10000000
χ352222-1222-1-1222-1-2-2-1-1-1-12-1-12-211-2-2211-1-1-1-122-1-1-1-1202-2-202200-1-100-1-111-211000-200001111-1-10000000
χ362222-1222-1-1222-1-2-2-1-1-1-12-1-12-211-2-2211-1-1-1-122-1-1-1-1-20-2220-2-20011001111-21100020000-1-1-1-1110000000
χ372-22-222-222-22-2-2-22-22-2-22-22-2202-22-2000-22000000000002i−2i02i−2i000000002-200000000000002i−2i2i−2i0000000
χ382-22-222-222-22-2-2-22-22-2-22-22-2202-22-2000-2200000000000−2i2i0−2i2i000000002-20000000000000−2i2i−2i2i0000000
χ392-22-222-222-22-2-2-2-222-2-22-22-220-22-22000-22000000000002i−2i0−2i2i00000000-2200000000000002i−2i−2i2i0000000
χ402-22-222-222-22-2-2-2-222-2-22-22-220-22-22000-2200000000000−2i2i02i−2i00000000-220000000000000−2i2i2i−2i0000000
χ412-22-2-12-22-112-2-212-2-111-1-2-1120-112-20−i3i31-1−i3i300−i3−i3i3i30002i−2i02i−2i003−3003−3-110−i3i3000000003−3−ii−ii0000000
χ422-22-2-12-22-112-2-212-2-111-1-2-1120-112-20−i3i31-1−i3i300−i3−i3i3i3000−2i2i0−2i2i00−3300−33-110−i3i300000000−33i−ii−i0000000
χ432-22-2-12-22-112-2-212-2-111-1-2-1120-112-20i3−i31-1i3−i300i3i3−i3−i30002i−2i02i−2i00−3300−33-110i3−i300000000−33−ii−ii0000000
χ442-22-2-12-22-112-2-212-2-111-1-2-1120-112-20i3−i31-1i3−i300i3i3−i3−i3000−2i2i0−2i2i003−3003−3-110i3−i3000000003−3i−ii−i0000000
χ452-22-2-12-22-112-2-21-22-111-1-2-11201-1-220−i3i31-1i3−i300i3i3−i3−i30002i−2i0−2i2i003−3003−31-10−i3i300000000−33−iii−i0000000
χ462-22-2-12-22-112-2-21-22-111-1-2-11201-1-220−i3i31-1i3−i300i3i3−i3−i3000−2i2i02i−2i00−3300−331-10−i3i3000000003−3i−i−ii0000000
χ472-22-2-12-22-112-2-21-22-111-1-2-11201-1-220i3−i31-1−i3i300−i3−i3i3i30002i−2i0−2i2i00−3300−331-10i3−i3000000003−3−iii−i0000000
χ482-22-2-12-22-112-2-21-22-111-1-2-11201-1-220i3−i31-1−i3i300−i3−i3i3i3000−2i2i02i−2i003−3003−31-10i3−i300000000−33i−i−ii0000000
χ4944444-2-4-444-2-2-2400-2-2-2-22-4-4200000000220000000004000-400000022000000000000-2000000000000000
χ5044444-2-4-444-2-2-2400-2-2-2-22-4-420000000022000000000-40004000000-2-20000000000002000000000000000
χ514444-24-4-4-2-2444-200-2-2-2-2-422-400000000220000000040-40000000-2-2002200000000000000000000000000
χ524444-24-4-4-2-2444-200-2-2-2-2-422-4000000002200000000-40400000002200-2-200000000000000000000000000
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
χ5744-4-44400-44-44-4-40044-4-400000000000000000000000000000022−22000000000000000000000000022−2200000
χ5844-4-44400-44-44-4-40044-4-4000000000000000000000000000000−22220000000000000000000000000−222200000
χ5944-4-44-200-442-22-400-2-22200000000000000006−66−66−60000000022−220023−23000000000000000000000−2200000
χ6044-4-44-200-442-22-400-2-22200000000000000006−66−66−600000000−222200−23230000000000000000000002−200000
χ6144-4-44-200-442-22-400-2-2220000000000000000−66−66−660000000022−2200−2323000000000000000000000−2200000
χ6244-4-44-200-442-22-400-2-2220000000000000000−66−66−6600000000−22220023−230000000000000000000002−200000
χ634-44-4444-44-44-4-4-4004-4-444-44-4000000004-400000000000000000000000000000000000000000000000000
χ644-44-44-24-44-4-222-400-222-2-2-44200000000-220000000000000000000000000000000000023−230000000000000
χ654-44-44-24-44-4-222-400-222-2-2-44200000000-2200000000000000000000000000000000000−23230000000000000
χ664-44-44-2-444-4-222-44-4-222-224-4-204-4-220002-2000000000000000000000000-22000000000000000000000000
χ674-44-44-2-444-4-222-4-44-222-224-4-20-442-20002-20000000000000000000000002-2000000000000000000000000
χ684-44-4-244-4-224-4-4200-222-242-2-400000000-2200000000000000000023−2300−232300000000000000000000000000
χ694-44-4-244-4-224-4-4200-222-242-2-400000000-22000000000000000000−23230023−2300000000000000000000000000
χ704-44-4-2-2-44-22-22224-41-1-112-22-20-22-220−2i32i3-11−2i32i300i3i3−i3−i300000000000000001-10i3−i3000000000000000000000
χ714-44-4-2-2-44-22-22224-41-1-112-22-20-22-2202i3−2i3-112i3−2i300−i3−i3i3i300000000000000001-10−i3i3000000000000000000000
χ724-44-4-2-2-44-22-2222-441-1-112-22-202-22-20−2i32i3-112i3−2i300−i3−i3i3i30000000000000000-110i3−i3000000000000000000000
χ734-44-4-2-2-44-22-2222-441-1-112-22-202-22-202i3−2i3-11−2i32i300i3i3−i3−i30000000000000000-110−i3i3000000000000000000000
χ744-4-444400-4-4-4-444004-44-400000000000000000000000000000000000000000004-40000000000000000000
χ754-4-444400-4-4-4-444004-44-40000000000000000000000000000000000000000000-440000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-8-48004-4-88-8400-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-44-4440022-2-2000000000000000026−26−66−66000000000000000000000000000000000000000000
χ7988-8-8-4-4004-44-4440022-2-20000000000000000−26266−66−6000000000000000000000000000000000000000000
χ808-88-8-4-48-8-44-4444002-2-22-44-44000000002-200000000000000000000000000000000000000000000000000
χ818-8-888-400-8-844-4800-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-480044-8-88-400-44-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4002-22-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4002-22-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000

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