Finite Group Databasebeta

← Group #11786688

Character table — Group #11786688

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order122222334444666666366666666666121212121212121244121212121212121212121212121212121212121222444444668888121212121212242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ91-11-1-11111-11-1-11-1-11-111-11-111-1-1-11-11-1-111-11-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1-1i−i1-1i−i1-1i−i1-1i−i1-1i−iii−i−i11-1-1ii−i−i11-1-1
χ101-11-1-11111-11-1-11-1-11-111-11-111-1-1-11-11-1-111-11-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1-1−ii1-1−ii1-1i−i-11−ii1-1−iiii−i−i-1-111−i−iii-1-111
χ111-11-1-11111-11-1-11-1-11-111-11-111-1-1-11-11-1-111-11-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-11i−i-11i−i-11−ii1-1i−i-11i−i−i−iii11-1-1−i−iii-1-111
χ121-11-1-11111-11-1-11-1-11-111-11-111-1-1-11-11-1-111-11-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-11−ii-11−ii-11−ii-11−ii-11−ii−i−iii-1-111ii−i−i11-1-1
χ131-11-1-11111-11-1-11-1-11-111-11-111-1-1-11-11-1-111-11-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1-1i−i1-1i−i1-1−ii-11i−i1-1i−i−i−iii-1-111ii−i−i-1-111
χ141-11-1-11111-11-1-11-1-11-111-11-111-1-1-11-11-1-111-11-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1-1−ii1-1−ii1-1−ii1-1−ii1-1−ii−i−iii11-1-1−i−iii11-1-1
χ151-11-1-11111-11-1-11-1-11-111-11-111-1-1-11-11-1-111-11-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-11i−i-11i−i-11i−i-11i−i-11i−iii−i−i-1-111−i−iii11-1-1
χ161-11-1-11111-11-1-11-1-11-111-11-111-1-1-11-11-1-111-11-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-11−ii-11−ii-11i−i1-1−ii-11−iiii−i−i11-1-1ii−i−i-1-111
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000002-22-20000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000-22-220000
χ192222222-12222-12-12-12-122-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1220000-1-100-1-1-1-1000000000000
χ202222222-12222-12-12-12-122-1-1-1-1-1-1-1-1-1222-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011-2-2000011001111000000000000
χ212222222-12222-12-12-12-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-21111-2-2-2-2-1-1-1-11111111122002200-1-1-2-20000-1-1001111000000000000
χ222222222-12222-12-12-12-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-21111-2-2-2-2-1-1-1-111111111-2-200-2-200112200001100-1-1-1-1000000000000
χ23222222-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022000022-1-100-1-10000-1-1-1-100000000
χ24222222-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000-2-21100110000111100000000
χ25222222-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-21111-1-1-1-111111111002200220000-2-2-1-100-1-10000111100000000
χ26222222-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-21111-1-1-1-11111111100-2-200-2-20000221100110000-1-1-1-100000000
χ272222-2-2222-2-222222222-2-2-2-2-2-22-2-22222-22-2-2-2200000000002-22-2000000002200-2-20022000000-2-2000000000000000000
χ282222-2-2222-2-222222222-2-2-2-2-2-22-2-22222-22-2-2-2200000000002-22-200000000-2-2002200-2-200000022000000000000000000
χ292222-2-222-222-22222222-2-2-2-2-2-22-2-222-2-22-2222-20000000000-22-2200000000002200-2-20000002200-2-20000000000000000
χ302222-2-222-222-22222222-2-2-2-2-2-22-2-222-2-22-2222-20000000000-22-220000000000-2-20022000000-2-200220000000000000000
χ312222-2-22-12-2-22-12-12-12-1-2-21111-111-1-122-2-111-2-100−i3i3−i3i30000-11-11−i3−i3i3i3−i3−i3i3i32200-2-200-1-10000001100−i3i3−i3i3000000000000
χ322222-2-22-12-2-22-12-12-12-1-2-21111-111-1-122-2-111-2-100−i3i3−i3i30000-11-11−i3−i3i3i3−i3−i3i3i3-2-200220011000000-1-100i3−i3i3−i3000000000000
χ332222-2-22-12-2-22-12-12-12-1-2-21111-111-1-122-2-111-2-100i3−i3i3−i30000-11-11i3i3−i3−i3i3i3−i3−i32200-2-200-1-10000001100i3−i3i3−i3000000000000
χ342222-2-22-12-2-22-12-12-12-1-2-21111-111-1-122-2-111-2-100i3−i3i3−i30000-11-11i3i3−i3−i3i3i3−i3−i3-2-200220011000000-1-100−i3i3−i3i3000000000000
χ352222-2-2-12-222-22-12-12-1-111-2-211-111-1-111-1-222-1-2000000−i3i3−i3i31-11-1−i3i3−i3i3−i3i3−i3i3002200-2-2000000-1-100110000−i3i3−i3i300000000
χ362222-2-2-12-222-22-12-12-1-111-2-211-111-1-111-1-222-1-2000000−i3i3−i3i31-11-1−i3i3−i3i3−i3i3−i3i300-2-200220000001100-1-10000i3−i3i3−i300000000
χ372222-2-2-12-222-22-12-12-1-111-2-211-111-1-111-1-222-1-2000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i3002200-2-2000000-1-100110000i3−i3i3−i300000000
χ382222-2-2-12-222-22-12-12-1-111-2-211-111-1-111-1-222-1-2000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i300-2-200220000001100-1-10000−i3i3−i3i300000000
χ392-22-22-22222-2-2-22-2-22-22-22-22-2-2-2222-22-222-22-2-200000000002-2-22000000002-200-22002-2000000-22000000000000000000
χ402-22-22-22222-2-2-22-2-22-22-22-22-2-2-2222-22-222-22-2-200000000002-2-2200000000-22002-200-220000002-2000000000000000000
χ412-22-22-222-2-222-22-2-22-22-22-22-2-2-2222-2-22-2-22-2220000000000-222-200000000002i−2i00−2i2i0000002i−2i00−2i2i0000000000000000
χ422-22-22-222-2-222-22-2-22-22-22-22-2-2-2222-2-22-2-22-2220000000000-222-20000000000−2i2i002i−2i000000−2i2i002i−2i0000000000000000
χ432-22-22-22-122-2-2121-2-1-2-1-221-1111-1-1-112-22-11-1-21003−3−330000-111-133−3−3−3−3332-200-2200-110000001-1003−3−33000000000000
χ442-22-22-22-122-2-2121-2-1-2-1-221-1111-1-1-112-22-11-1-21003−3−330000-111-133−3−3−3−333-22002-2001-1000000-1100−333−3000000000000
χ452-22-22-22-122-2-2121-2-1-2-1-221-1111-1-1-112-22-11-1-2100−333−30000-111-1−3−33333−3−32-200-2200-110000001-100−333−3000000000000
χ462-22-22-22-122-2-2121-2-1-2-1-221-1111-1-1-112-22-11-1-2100−333−30000-111-1−3−33333−3−3-22002-2001-1000000-11003−3−33000000000000
χ472-22-22-2-12-2-222-2-1-2121-11-1-22111-1-1-111-11-22-2-120000003−3−331-1-113−33−3−33−33002i−2i00−2i2i000000−ii00i−i0000−i3i3i3−i300000000
χ482-22-22-2-12-2-222-2-1-2121-11-1-22111-1-1-111-11-22-2-120000003−3−331-1-113−33−3−33−3300−2i2i002i−2i000000i−i00−ii0000i3−i3−i3i300000000
χ492-22-22-2-12-2-222-2-1-2121-11-1-22111-1-1-111-11-22-2-12000000−333−31-1-11−33−333−33−3002i−2i00−2i2i000000−ii00i−i0000i3−i3−i3i300000000
χ502-22-22-2-12-2-222-2-1-2121-11-1-22111-1-1-111-11-22-2-12000000−333−31-1-11−33−333−33−300−2i2i002i−2i000000i−i00−ii0000−i3i3i3−i300000000
χ512-22-2-2222-22-22-22-2-22-222-22-222-2-2-22-2-222-2-22-220000000000-2-2220000000000000000000000000000000000002i−2i−2i2i0000
χ522-22-2-2222-22-22-22-2-22-222-22-222-2-2-22-2-222-2-22-220000000000-2-222000000000000000000000000000000000000−2i2i2i−2i0000
χ532-22-2-222-12-22-2121-2-1-2-12-2-11-1-1111-112-2-2-1-11212i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii2-2002-200-112i−2i0000-1100−i−iii000000000000
χ542-22-2-222-12-22-2121-2-1-2-12-2-11-1-1111-112-2-2-1-11212i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii-2200-22001-1−2i2i00001-100ii−i−i000000000000
χ552-22-2-222-12-22-2121-2-1-2-12-2-11-1-1111-112-2-2-1-1121−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i2-2002-200-11−2i2i0000-1100ii−i−i000000000000
χ562-22-2-222-12-22-2121-2-1-2-12-2-11-1-1111-112-2-2-1-1121−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i-2200-22001-12i−2i00001-100−i−iii000000000000
χ572-22-2-22-122-22-2-2-1-2121-1-112-2-1-1111-11-11122-2-1-22i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii002i−2i002i−2i00002-2−ii00−ii0000-1-11100000000
χ582-22-2-22-122-22-2-2-1-2121-1-112-2-1-1111-11-11122-2-1-22i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii00−2i2i00−2i2i0000-22i−i00i−i000011-1-100000000
χ592-22-2-22-122-22-2-2-1-2121-1-112-2-1-1111-11-11122-2-1-2−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i002i−2i002i−2i0000-22−ii00−ii000011-1-100000000
χ602-22-2-22-122-22-2-2-1-2121-1-112-2-1-1111-11-11122-2-1-2−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i00−2i2i00−2i2i00002-2i−i00i−i0000-1-11100000000
χ614444444-2-4-4-4-4-24-24-24-244-2-2-2-2-2-2-2-2-2-4-4-4222-420000000000222200000000000000000000000000000000000000000000
χ62444444-24-4-4-4-44-24-24-2-2-2-244-2-2-2-2-2-2-2222-4-4-42-40000000000222200000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-13-3-333-3-33000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-1-333-3-333-3000000000000000000000000000000000000
χ674444-4-44-2-444-4-24-24-24-2-4-42222-222-2-2-4-442-2-24200000000002-22-200000000000000000000000000000000000000000000
χ684444-4-4-244-4-444-24-24-2-222-4-422-222-2-2-2-224-4-4240000000000-22-2200000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-212222-1-11-1-111-2-22-2222-200−2i32i3−2i32i300001-11-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222-1-11-1-111-2-22-2222-2002i3−2i32i3−2i300001-11-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-212222-1-11-1-11122-22-2-2-22000000−2i32i3−2i32i3-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-212222-1-11-1-11122-22-2-2-220000002i3−2i32i3−2i3-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ7344-4-4004400004-4-44-4-44000000400-4-4000000000000000000000000000000000000000000000000000000000000002-22-2
χ7444-4-4004400004-4-44-4-44000000400-4-400000000000000000000000000000000000000000000000000000000000000-22-22
χ754-44-44-44-2-4-444242-4-2-4-2-442-2222-2-2-22-44-42-224-200000000002-2-2200000000000000000000000000000000000000000000
χ764-44-44-4-2444-4-4-4-2-4242-22-2-44222-2-2-22-22-24-442-40000000000-222-200000000000000000000000000000000000000000000
χ774-44-44-4-2-244-4-42-222-2212-22-2-1-1-1111-1-22-2-22-2220023−23−232300001-1-11−3−33333−3−3000000000000000000000000000000000000
χ784-44-44-4-2-244-4-42-222-2212-22-2-1-1-1111-1-22-2-22-22200−232323−2300001-1-1133−3−3−3−333000000000000000000000000000000000000
χ794-44-44-4-2-2-4-4442-222-2212-22-2-1-1-1111-12-222-22-2-200000023−23−2323-111-1−33−333−33−3000000000000000000000000000000000000
χ804-44-44-4-2-2-4-4442-222-2212-22-2-1-1-1111-12-222-22-2-2000000−232323−23-111-13−33−3−33−33000000000000000000000000000000000000
χ814-44-4-444-2-44-44242-4-2-4-24-4-22-2-2222-22-44422-2-4-2000000000022-2-200000000000000000000000000000000000000000000
χ824-44-4-44-24-44-44-4-2-4242-2-224-4-2-2222-222-2-2-4-4424000000000022-2-200000000000000000000000000000000000000000000
χ834-44-4-44-2-24-44-42-222-221-22-2211-1-1-11-1-222-2-22-224i−4i−2i−2i2i2i−2i−2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000
χ844-44-4-44-2-24-44-42-222-221-22-2211-1-1-11-1-222-2-22-22−4i4i2i2i−2i−2i2i2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000
χ854-44-4-44-2-2-44-442-222-221-22-2211-1-1-11-12-2-222-22-20000000000-1-1113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ864-44-4-44-2-2-44-442-222-221-22-2211-1-1-11-12-2-222-22-20000000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ874-4-4400440000-4-44-4-444000000-400-44000000000000000000000000000000000000000000000000000000000000002-2-22
χ884-4-4400440000-4-44-4-444000000-400-4400000000000000000000000000000000000000000000000000000000000000-222-2
χ8988-8-8008-40000-4-8484-8-4000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-48000084-8-4-84-4000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-444-444200006-626-6-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-444-44420000-662-66-2-2000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-400004-8-4-848-40000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-480000-8484-8-4-40000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-444-4200006-6-2-66-22000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-444-420000-66-26-6-22000000000000000000000000000000000000000000000000000000000000000000

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