Finite Group Databasebeta

← Group #11889447

Character table — Group #11889447

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order122233446666662346661212121212124466661212121212448888121212121212121222444881212121224242424242424244444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111-1-11-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-111-1
χ41111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-11111-1-111-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111111111-1-11-1-1-1
χ811111111111111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111-1111
χ911111111111111-11-1111-1-111111-1-1-1-1-1-111-1-111-1-1111-11-111-1-1-1-1-1-111-111-1-111-1-111-1-11111-1-11-1
χ1011111111111111-11-1111-1-111111-1-1-1-1-1-111-1-111-1-1-1-11-11-111-1-111-11-11111-1-111-1-1-1-111-1-1-1-111-11
χ1111111111111111-11-1111-1-111111-1-1-1-1-1-111-1-1-1-111111-11-111-1-1111-11-1-1-1-111-1-11111-1-1-1-1-1-11-111
χ1211111111111111-11-1111-1-111111-1-1-1-1-1-111-1-1-1-111-1-11-11-111-1-1-1-111-1-11-1-111-1-111-1-1111111-11-1-1
χ1311111111111111-11-1111-1-11111-11-1-1-1-1-111-1-1111111-11-11-1-11111-11-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ1411111111111111-11-1111-1-11111-11-1-1-1-1-111-1-11111-1-1-11-11-1-111-1-1-1-11-1111-1-1-1-111-1-11111-1-1-1-111
χ1511111111111111-11-1111-1-11111-11-1-1-1-1-111-1-1-1-1-1-111-11-11-1-111-1-111-11-1-1-11111-1-111-1-111-1-1-11-11
χ1611111111111111-11-1111-1-11111-11-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111111-1111-1-11111-1-1-1-111-1-1111-11-1
χ17222222-2-222222222-2222-2-2-2-2-2-2002222-2-2-2-2-2000000000000002200000000000000000-2200-2000
χ18222222-2-222222222-2222-2-2-2-2-2-2002222-2-2-2-2-200000000000000-2-2000000000000000002-2002000
χ19222222-2-2222222-22222222-2-2-2-200-2-2-2-22-2-2220000000000000022000000000000000002-200-2000
χ20222222-2-2222222-22222222-2-2-2-200-2-2-2-22-2-22200000000000000-2-200000000000000000-22002000
χ2122222-1222-12-1-122-12-1-1-1-1-12-1-12222-1-1-12-1-1-1-12222002-1-12-1-1-1-10020020-1-1-1-1-1-1-1-1000000000000
χ2222222-1222-12-1-122-12-1-1-1-1-12-1-12222-1-1-12-1-1-1-1-2-2-2-2002-1-12-1-1-1-100-200-2011111111000000000000
χ2322222-1222-12-1-122-12-1-1-1-1-12-1-12-2-22-1-1-12-1-1-1-122-2-200-211-2111100200-20-1-1-1-11111000000000000
χ2422222-1222-12-1-122-12-1-1-1-1-12-1-12-2-22-1-1-12-1-1-1-1-2-22200-211-2111100-200201111-1-1-1-1000000000000
χ2522222-1222-12-1-12-2-1-2-1-1-1112-1-122-2-2111-2-1-11122-2-20021-1-2-1-11100-20020-1-111-1-111000000000000
χ2622222-1222-12-1-12-2-1-2-1-1-1112-1-122-2-2111-2-1-111-2-2220021-1-2-1-11100200-2011-1-111-1-1000000000000
χ2722222-1222-12-1-12-2-1-2-1-1-1112-1-12-22-2111-2-1-111222200-2-11211-1-100-200-20-1-11111-1-1000000000000
χ2822222-1222-12-1-12-2-1-2-1-1-1112-1-12-22-2111-2-1-111-2-2-2-200-2-11211-1-1002002011-1-1-1-111000000000000
χ292222-1222-12-122-12-12-1-1-122-122-122-12-1-1-1-1-1-1-1000022-122-1-1-1-1-1000220200000000-1-1-1-100000-1-10
χ302222-1222-12-122-12-12-1-1-122-122-122-12-1-1-1-1-1-1-10000-2-2-122-1-1-1-1-1000-2-20-200000000111100000110
χ312222-1222-12-122-12-12-1-1-122-122-1-2-2-12-1-1-1-1-1-1-10000221-2-211111000-2-20200000000-1-1-1-100000110
χ322222-1222-12-122-12-12-1-1-122-122-1-2-2-12-1-1-1-1-1-1-10000-2-21-2-211111000220-200000000111100000-1-10
χ332222-1222-12-122-1-2-1-2-1-1-1-2-2-122-12-21-2111-1-111000022-1-221-1-111000-220-200000000-1-111000001-10
χ342222-1222-12-122-1-2-1-2-1-1-1-2-2-122-12-21-2111-1-1110000-2-2-1-221-1-1110002-2020000000011-1-100000-110
χ352222-1222-12-122-1-2-1-2-1-1-1-2-2-122-1-221-2111-1-11100002212-2-111-1-10002-20-200000000-1-11100000-110
χ362222-1222-12-122-1-2-1-2-1-1-1-2-2-122-1-221-2111-1-1110000-2-212-2-111-1-1000-22020000000011-1-1000001-10
χ372-2-22222-2-22-2-2-22020-2-220022-2-200000002-2002i−2i002i−2i0000000000000002i−2i0000002i−2i00002-20000
χ382-2-22222-2-22-2-2-22020-2-220022-2-200000002-2002i−2i00−2i2i0000000000000002i−2i000000−2i2i0000-220000
χ392-2-22222-2-22-2-2-22020-2-220022-2-200000002-200−2i2i002i−2i000000000000000−2i2i0000002i−2i0000-220000
χ402-2-22222-2-22-2-2-22020-2-220022-2-200000002-200−2i2i00−2i2i000000000000000−2i2i000000−2i2i00002-20000
χ4144444-2-4-44-24-2-244-2-4-2-2-222-422-4004-2-2-2-4222200000000000000000000000000000000000000000
χ4244444-2-4-44-24-2-24-4-24-2-2-2-2-2-422-400-4222422-2-200000000000000000000000000000000000000000
χ434444-24-4-4-24-244-24-2-4-2-2-2-4-42-4-4200-24-2-22222200000000000000000000000000000000000000000
χ444444-24-4-4-24-244-2-4-24-2-2-2442-4-42002-422-222-2-200000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-244-2-211-21111000000-2-2-2-21111000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2414111-2-2-2-2-2-2-4-4-2-211-211110000002222-1-1-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-41-411122-2-2-2-24-422-1-1211-1-1000000-22-2211-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-41-411122-2-2-2-2-4422-1-1211-1-10000002-22-2-1-111000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-241-411122222200-2-2112-1-1-1-100000000003-33-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-241-411122222200-2-2112-1-1-1-10000000000-33-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-2-414111-2-222220022-1-1-2-1-11100000000003-3-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-2-414111-2-222220022-1-1-2-1-1110000000000-333-3000000000000000000000000000
χ5344-4-444004-4-4-44-4040-44-4000000000000000000022−220000000000000000000000022−22000000000000
χ5444-4-444004-4-4-44-4040-44-40000000000000000000−222200000000000000000000000−2222000000000000
χ5544-4-44-20042-42-2-40-202-2223−23000000000000023−230022−220000000000000000000006−6−22000000000000
χ5644-4-44-20042-42-2-40-202-2223−23000000000000023−2300−2222000000000000000000000−662−2000000000000
χ5744-4-44-20042-42-2-40-202-22−23230000000000000−23230022−22000000000000000000000−66−22000000000000
χ5844-4-44-20042-42-2-40-202-22−23230000000000000−232300−22220000000000000000000006−62−2000000000000
χ594-44-44400-4-444-4-40404-4-400000000000000000000000000000004-40000000000000000000000000
χ604-44-44400-4-444-4-40404-4-40000000000000000000000000000000-440000000000000000000000000
χ614-4-4444-44-44-4-4-44040-4-4400-4-4440000000-440000000000000000000000000000000000000000000
χ624-4-444-24-4-4-2-42240-2022-2004-22-40000000-22004i−4i0000000000000000000−2i2i000000000000000000
χ634-4-444-24-4-4-2-42240-2022-2004-22-40000000-2200−4i4i00000000000000000002i−2i000000000000000000
χ644-4-444-2-44-4-2-42240-2022-200-42-2400000002-2000000000000000000000000023−230000000000000000
χ654-4-444-2-44-4-2-42240-2022-200-42-2400000002-20000000000000000000000000−23230000000000000000
χ664-4-44-244-4242-4-4-20-2022-200-24-420000000-220000004i−4i00000000000000000000000−2i2i0000000000
χ674-4-44-244-4242-4-4-20-2022-200-24-420000000-22000000−4i4i000000000000000000000002i−2i0000000000
χ684-4-44-24-44242-4-4-20-2022-2002-44-200000002-2000000000000000000000000000000000−2i32i300000000
χ694-4-44-24-44242-4-4-20-2022-2002-44-200000002-20000000000000000000000000000000002i3−2i300000000
χ7088-8-8-4800-4-84-8840-404-440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-4-400-4444-44020-22-243−430000000000000−232300000000000000000000000000000000000000000
χ7288-8-8-4-400-4444-44020-22-2−4343000000000000023−2300000000000000000000000000000000000000000
χ738-88-88-400-848-44-80-40-4440000000000000000000000000000000000000000000000000000000000
χ748-88-8-48004-8-48-840-40-4440000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-40044-4-4440202-2-200000000006-60000000000000000000000000000000000000000000000
χ768-88-8-4-40044-4-4440202-2-20000000000-660000000000000000000000000000000000000000000000
χ778-8-88-4-48-84-4444-4020-2-2200-4-44400000002-20000000000000000000000000000000000000000000
χ788-8-88-4-4-884-4444-4020-2-220044-4-40000000-220000000000000000000000000000000000000000000

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