Finite Group Databasebeta

← Group #11885780

Character table — Group #11885780

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order122222334466666666662222121212122244448888222244666666664888888661212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-111-1-11-11111-1-1-1-11-1-1-1-1-1-11-11-1
χ311111111111111111111-1-1111111111111-1-1-1-1-1-111-11-1-1-1-111111-1-1-1-1-1-1-11-11
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-11111111-11-1-1-1111111111-1-111-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11-111111-1-1-1-1111-1-111-11-11
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-1-1-11111111-1-1111-11-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-1-1-1-1-11-1-111-1-11111
χ91111-1-1111-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-111
χ101111-1-1111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-111-1-1-11111-111-1
χ111111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-1-11111-1-1-1-1-111111-1-11
χ121111-1-1111-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-111-111-1-1-1-111-1-1
χ131111-1-111-11111111-1-1-1-11111-1-11111-1-1111111-11-11-1-111-1-111-1-1-1-1-1-1-11111-1-1
χ141111-1-111-11111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111-1-1111-1-1-1-111-11111-1-11-1-11
χ151111-1-111-11111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11-1-111-1-1-11111-1-1-11111-1-1-111-1
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-1-11111-1-11111111-11-111-1-111-1-111-1-1-1-1-111-1-111
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-2000022-2-222-2-2-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-20000-2-222-2-222-2-200000000000000000020000000000
χ212-22-200220022-2-2-2-200002-22-200000000-2222-2-20000002-2002-20000000000000
χ222-22-200220022-2-2-2-200002-2-2200000000-22-2-2220000002-200-220000000000000
χ232-22-200220022-2-2-2-20000-222-200000000-22-2-222000000-22002-20000000000000
χ242-22-200220022-2-2-2-20000-22-2200000000-2222-2-2000000-2200-220000000000000
χ252-2-222-22200-2-2-2-22222-2-2000000002-22-2002−22−20000000000000002−22−22−20000
χ262-2-222-22200-2-2-2-22222-2-2000000002-22-200−22−22000000000000000−22−22−220000
χ272-2-222-22200-2-2-2-22222-2-200000000-22-22002−22−2000000000000000−222−2−220000
χ282-2-222-22200-2-2-2-22222-2-200000000-22-2200−22−220000000000000002−2−222−20000
χ292-2-22-222200-2-2-2-222-2-222000000002-2-22002−22−2000000000000000−22−222−20000
χ302-2-22-222200-2-2-2-222-2-222000000002-2-2200−22−220000000000000002−22−2−220000
χ312-2-22-222200-2-2-2-222-2-22200000000-222-2002−22−20000000000000002−2−22−220000
χ322-2-22-222200-2-2-2-222-2-22200000000-222-200−22−22000000000000000−222−22−20000
χ334444441-2441-21-21-21-21-200221-21-200000000000022020000-1-1-1-100000000-10-1
χ344444441-2441-21-21-21-21-200-2-21-21-2000000000000-2-20-20000111100000000101
χ354444441-2-4-41-21-21-21-21-20022-12-120000000000002-20-20000-1-1-1-100000000101
χ364444441-2-4-41-21-21-21-21-200-2-2-12-12000000000000-22020000111100000000-10-1
χ37444444-2144-21-21-21-21-212200-21-210000000000220020-1-1-1-100000000000-10-10
χ38444444-2144-21-21-21-21-21-2-200-21-210000000000-2-200-201111000000000001010
χ39444444-21-4-4-21-21-21-21-2122002-12-100000000002-200-20-1-1-1-1000000000001010
χ40444444-21-4-4-21-21-21-21-21-2-2002-12-10000000000-220020111100000000000-10-10
χ414444-4-41-24-41-21-21-2-12-1200221-2-12000000000000-2-2020000-1-1110000000010-1
χ424444-4-41-24-41-21-21-2-12-1200-2-21-2-12000000000000220-2000011-1-100000000-101
χ434444-4-41-2-441-21-21-2-12-120022-121-2000000000000-220-20000-1-11100000000-101
χ444444-4-41-2-441-21-21-2-12-1200-2-2-121-20000000000002-202000011-1-10000000010-1
χ454444-4-4-214-4-21-21-212-12-12200-212-10000000000-2-20020-1-1110000000000010-10
χ464444-4-4-214-4-21-21-212-12-1-2-200-212-100000000002200-2011-1-100000000000-1010
χ474444-4-4-21-44-21-21-212-12-122002-1-210000000000-2200-20-1-11100000000000-1010
χ484444-4-4-21-44-21-21-212-12-1-2-2002-1-2100000000002-2002011-1-10000000000010-10
χ4944-4-4004400-4-444-4-400000000000000000022−22−22220000000000000000000000000
χ5044-4-4004400-4-444-4-4000000000000000000−222222−220000000000000000000000000
χ514-44-400440044-4-4-4-400000000000000004-400000000000000000000000000000
χ5288-8-8002-400-242-4-240000000000000000000000000000000000−2i32i300000000000
χ5388-8-8002-400-242-4-2400000000000000000000000000000000002i3−2i300000000000
χ5488-8-800-42004-2-424-2000000000000000000000000000000−2i32i3000000000000000
χ5588-8-800-42004-2-424-20000000000000000000000000000002i3−2i3000000000000000
χ568-88-8002-4002-4-24-240000004-4000000000000000000000000-220000000000000
χ578-88-8002-4002-4-24-24000000-440000000000000000000000002-20000000000000
χ588-88-800-4200-424-24-200004-40000000000000000000000-2200000000000000000
χ598-88-800-4200-424-24-20000-4400000000000000000000002-200000000000000000
χ608-8-888-82-400-24-242-42-4-240000000000000000000000000000000000000000000
χ618-8-888-8-42004-24-2-42-424-20000000000000000000000000000000000000000000
χ628-8-88-882-400-24-242-4-242-40000000000000000000000000000000000000000000
χ638-8-88-88-42004-24-2-424-2-420000000000000000000000000000000000000000000

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