Finite Group Databasebeta

← Group #11889432

Character table — Group #11889432

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order1222334466666634466612121212121244121212121212121212448888121212121212121222444881212121224242424242424242444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111-1-11-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1
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
χ511111111111111111111111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-111111111-1-1-1-1-111-1-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11-1-11111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1111111111-1-111-1-1-1
χ811111111111111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-11111-111-1-1111
χ9111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-1-11-1-1111-1-111-1-111-1-11111-11-1-1
χ10111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-1-111-1-111111-1-1-1-11111-1-1-1-1-1-11-111
χ11111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-111111-1-1111-1-11111-1-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ12111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-111-1-11-1-1111-1-1-1-11-111-1-1-111-1-111-1-1111111-1-11-1
χ13111111111111111-1-1111-1-11111-11-1-1-111-1-1-1-1111111-111-1-1-11111-1-11-1-111-1-111-1-1-1-111-111-11-11-1
χ14111111111111111-1-1111-1-11111-11-1-1-111-1-1-1-11111-1-1-111-1-1-111-1-1-11-11-111-1-1-1-111-1-1111-1-11-11-11
χ15111111111111111-1-1111-1-11111-11-1-1-111-1-1-1-1-1-1-1-111-111-1-1-111-1-11-11-11-1-11111-1-111-1-11-1-11-1-111
χ16111111111111111-1-1111-1-11111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-111-1-111-1-11111-1-1-111-111-1-1
χ17222222-2-222222222-2222-2-2-2-2-2-2002-22-2-222-2-2000000000000002200000000000000000-2002-2000
χ18222222-2-222222222-2222-2-2-2-2-2-2002-22-2-222-2-200000000000000-2-200000000000000000200-22000
χ19222222-2-22222222-2222222-2-2-2-200-22-2-2-2-2-222000000000000002200000000000000000200-2-2000
χ20222222-2-22222222-2222222-2-2-2-200-22-2-2-2-2-22200000000000000-2-200000000000000000-20022000
χ2122222-12222-1-1-12-122-1-1-1-1-1-122-12222-1-1-1-1-1-1-122220022-1-1-1-1-1-10020002-1-1-1-10000-1-1-1-100000000
χ2222222-12222-1-1-12-122-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-2-2-2-20022-1-1-1-1-1-100-2000-211110000111100000000
χ2322222-12222-1-1-12-122-1-1-1-1-1-122-1-2-222-1-1-1-1-1-1-122-2-200-2-2111111002000-2-1-1-1-10000111100000000
χ2422222-12222-1-1-12-122-1-1-1-1-1-122-1-2-222-1-1-1-1-1-1-1-2-22200-2-211111100-2000211110000-1-1-1-100000000
χ2522222-12222-1-1-12-1-2-2-1-1-111-122-12-2-2-21-1-1111122-2-2002-21-1-1-11100-20002-1-1110000-1-11100000000
χ2622222-12222-1-1-12-1-2-2-1-1-111-122-12-2-2-21-1-11111-2-222002-21-1-1-111002000-211-1-1000011-1-100000000
χ2722222-12222-1-1-12-1-2-2-1-1-111-122-1-22-2-21-1-11111222200-22-1111-1-100-2000-2-1-111000011-1-100000000
χ2822222-12222-1-1-12-1-2-2-1-1-111-122-1-22-2-21-1-11111-2-2-2-200-22-1111-1-1002000211-1-10000-1-11100000000
χ292222-1222-1-1222-1-122-1-1-1222-1-1222-1-12-1-1-1-1-1-1000022-1-122-1-1-1-100022200000-1-1-1-1000000000-1-10
χ302222-1222-1-1222-1-122-1-1-1222-1-1222-1-12-1-1-1-1-1-10000-2-2-1-122-1-1-1-1000-2-2-2000001111000000000110
χ312222-1222-1-1222-1-122-1-1-1222-1-12-2-2-1-12-1-1-1-1-1-100002211-2-21111000-2-2200000-1-1-1-1000000000110
χ322222-1222-1-1222-1-122-1-1-1222-1-12-2-2-1-12-1-1-1-1-1-10000-2-211-2-2111100022-2000001111000000000-1-10
χ332222-1222-1-1222-1-1-2-2-1-1-1-2-22-1-122-211-2-1-11111000022-11-22-1-1110002-2-200000-1-111000000000-110
χ342222-1222-1-1222-1-1-2-2-1-1-1-2-22-1-122-211-2-1-111110000-2-2-11-22-1-111000-2220000011-1-10000000001-10
χ352222-1222-1-1222-1-1-2-2-1-1-1-2-22-1-12-2211-2-1-111110000221-12-211-1-1000-22-200000-1-1110000000001-10
χ362222-1222-1-1222-1-1-2-2-1-1-1-2-22-1-12-2211-2-1-111110000-2-21-12-211-1-10002-220000011-1-1000000000-110
χ372-2-22222-2-2-2-22-222002-2-20022-2-2000002-200002-2002i−2i0000000000000002-2002i−2i00000002i−2i00000
χ382-2-22222-2-2-2-22-222002-2-20022-2-2000002-200002-200−2i2i0000000000000002-200−2i2i0000000−2i2i00000
χ392-2-22222-2-2-2-22-222002-2-20022-2-2000002-20000-22002i−2i000000000000000-22002i−2i0000000−2i2i00000
χ402-2-22222-2-2-2-22-222002-2-20022-2-2000002-20000-2200−2i2i000000000000000-2200−2i2i00000002i−2i00000
χ4144444-2-4-444-2-2-24-24-4-2-2-2222-4-42004-4-222-2-22200000000000000000000000000000000000000000
χ4244444-2-4-444-2-2-24-2-44-2-2-2-2-22-4-4200-4422222-2-200000000000000000000000000000000000000000
χ434444-24-4-4-2-2444-2-24-4-2-2-2-4-4-422-400-22422-2-22200000000000000000000000000000000000000000
χ444444-24-4-4-2-2444-2-2-44-2-2-244-422-4002-2-42222-2-200000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-244-2-2-2111111000000-2-2-2-21111000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-4-4-2-2-21111110000002222-1-1-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411122-2-2-2-24-422211-1-1-1-1000000-222-211-1-1000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-411122-2-2-2-2-4422211-1-1-1-10000002-2-22-1-111000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-411122222200-22-2-1-111-1-100000000003-33-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-411122222200-22-2-1-111-1-10000000000-33-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-44111-2-22222002-22-1-1-1-11100000000003-3-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-44111-2-22222002-22-1-1-1-1110000000000-333-3000000000000000000000000000
χ5344-4-444004-4-4-44-4400-44-4000000000000000000022−2200000000000000000000000000022−2200000000
χ5444-4-444004-4-4-44-4400-44-40000000000000000000−2222000000000000000000000000000−222200000000
χ5544-4-44-2004-422-2-4-2002-2223−23000000000000023−230022−2200000000000000000000000006−6−2200000000
χ5644-4-44-2004-422-2-4-2002-2223−23000000000000023−2300−22220000000000000000000000000−662−200000000
χ5744-4-44-2004-422-2-4-2002-22−23230000000000000−23230022−220000000000000000000000000−66−2200000000
χ5844-4-44-2004-422-2-4-2002-22−23230000000000000−232300−222200000000000000000000000006−62−200000000
χ594-44-44400-444-4-4-4400-4-4400000000000000000000000000000004-40000000000000000000000000
χ604-44-44400-444-4-4-4400-4-440000000000000000000000000000000-440000000000000000000000000
χ614-4-4444-44-4-4-44-444004-4-400-4-44400000-44000000000000000000000000000000000000000000000
χ624-4-444-24-4-4-42-224-200-22200-24-4200000-2200004-40000000000000000000-22000000000000000000
χ634-4-444-24-4-4-42-224-200-22200-24-4200000-220000-4400000000000000000002-2000000000000000000
χ644-4-444-2-44-4-42-224-200-222002-44-2000002-200000000000000000000000000023−230000000000000000
χ654-4-444-2-44-4-42-224-200-222002-44-2000002-2000000000000000000000000000−23230000000000000000
χ664-4-44-244-422-44-4-2-200-222004-22-400000-22000000004i−4i0000000000000000000−2i2i00000000000000
χ674-4-44-244-422-44-4-2-200-222004-22-400000-2200000000−4i4i00000000000000000002i−2i00000000000000
χ684-4-44-24-4422-44-4-2-200-22200-42-24000002-2000000000000000000000000000000023−23000000000000
χ694-4-44-24-4422-44-4-2-200-22200-42-24000002-20000000000000000000000000000000−2323000000000000
χ7088-8-8-4800-44-8-884-4004-440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-4-400-4444-44200-22-243−430000000000000−232300000000000000000000000000000000000000000
χ7288-8-8-4-400-4444-44200-22-2−4343000000000000023−2300000000000000000000000000000000000000000
χ738-88-88-400-88-444-8-40044-40000000000000000000000000000000000000000000000000000000000
χ748-88-8-48004-48-8-84-40044-40000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-4004-4-4444200-2-2200000000000006i−6i0000000000000000000000000000000000000000000
χ768-88-8-4-4004-4-4444200-2-220000000000000−6i6i0000000000000000000000000000000000000000000
χ778-8-88-4-48-8444-44-42002-2-200-4-444000002-2000000000000000000000000000000000000000000000
χ788-8-88-4-4-88444-44-42002-2-20044-4-400000-22000000000000000000000000000000000000000000000

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