Finite Group Databasebeta

← Group #13181104

Character table — Group #13181104

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size12444466689121212181836541244446668912121218183654248888121212161824242436367210824888812121216182424243636721082488881212121618242424363672108
order133333266326662664266666266626662664412121212124121212412121241212441212121212412121241212124121244121212121241212124121212412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-11-1-111111111111111-11-1-111111111111111-11-1-111111111111111-11-1-111111111111111-11-1-1
χ3111111-1-1-111-1-1-1111-1111111-1-1-111-1-1-1111-1111111-1-1-111-1-1-1111-1111111-1-1-111-1-1-1111-1111111-1-1-111-1-1-1111-1
χ4111111-1-1-111-1-1-1-11-11111111-1-1-111-1-1-1-11-11111111-1-1-111-1-1-1-11-11111111-1-1-111-1-1-1-11-11111111-1-1-111-1-1-1-11-11
χ52222220002-20000-2002222220002-20000-2002222220002-20000-2002222220002-20000-2002222220002-20000-200
χ62-12-1-120i3−i3-1-20i3−i301002-12-1-120i3−i3-1-20i3−i301002-12-1-120i3−i3-1-20i3−i301002-12-1-120i3−i3-1-20i3−i301002-12-1-120i3−i3-1-20i3−i30100
χ72-12-1-120−i3i3-1-20−i3i301002-12-1-120−i3i3-1-20−i3i301002-12-1-120−i3i3-1-20−i3i301002-12-1-120−i3i3-1-20−i3i301002-12-1-120−i3i3-1-20−i3i30100
χ82-12-1-122-1-1-122-1-10-1002-12-1-122-1-1-122-1-10-1002-12-1-122-1-1-122-1-10-1002-12-1-122-1-1-122-1-10-1002-12-1-122-1-1-122-1-10-100
χ92-12-1-12-211-12-2110-1002-12-1-12-211-12-2110-1002-12-1-12-211-12-2110-1002-12-1-12-211-12-2110-1002-12-1-12-211-12-2110-100
χ1044111-2222-20-1-1-1000044111-2222-20-1-1-1000044111-2222-20-1-1-1000044111-2222-20-1-1-1000044111-2222-20-1-1-10000
χ1144111-2-2-2-2-20111000044111-2-2-2-2-20111000044111-2-2-2-2-20111000044111-2-2-2-2-20111000044111-2-2-2-2-201110000
χ1244-2-2-210001000020-1044-2-2-210001000020-1044-2-2-210001000020-1044-2-2-210001000020-1044-2-2-210001000020-10
χ1344-2-2-2100010000-201044-2-2-2100010000-201044-2-2-2100010000-201044-2-2-2100010000-201044-2-2-2100010000-2010
χ144-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i3200004-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i3200004-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i3200004-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i3200004-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i320000
χ154-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i3200004-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i3200004-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i3200004-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i3200004-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i320000
χ164-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i3200004-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i3200004-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i3200004-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i3200004-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i320000
χ174-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i3200004-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i3200004-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i3200004-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i3200004-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i320000
χ188-4-4222000-1000000008-4-4222000-1000000008-4-4222000-1000000008-4-4222000-1000000008-4-4222000-100000000
χ19111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111111-11-1-111111111111111-11-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111
χ21111111-1-1-111-1-1-1111-1111111-1-1-111-1-1-1111-1111111-1-1-111-1-1-1111-1-1-1-1-1-1-1111-1-1111-1-1-11-1-1-1-1-1-1111-1-1111-1-1-11
χ22111111-1-1-111-1-1-1-11-11111111-1-1-111-1-1-1-11-11111111-1-1-111-1-1-1-11-11-1-1-1-1-1-1111-1-11111-11-1-1-1-1-1-1-1111-1-11111-11-1
χ232222220002-20000-2002222220002-20000-2002222220002-20000-200-2-2-2-2-2-2000-220000200-2-2-2-2-2-2000-220000200
χ242-12-1-120i3−i3-1-20i3−i301002-12-1-120i3−i3-1-20i3−i301002-12-1-120i3−i3-1-20i3−i30100-21-211-20−i3i3120−i3i30-100-21-211-20−i3i3120−i3i30-100
χ252-12-1-120−i3i3-1-20−i3i301002-12-1-120−i3i3-1-20−i3i301002-12-1-120−i3i3-1-20−i3i30100-21-211-20i3−i3120i3−i30-100-21-211-20i3−i3120i3−i30-100
χ262-12-1-122-1-1-122-1-10-1002-12-1-122-1-1-122-1-10-1002-12-1-122-1-1-122-1-10-100-21-211-2-2111-2-2110100-21-211-2-2111-2-2110100
χ272-12-1-12-211-12-2110-1002-12-1-12-211-12-2110-1002-12-1-12-211-12-2110-100-21-211-22-1-11-22-1-10100-21-211-22-1-11-22-1-10100
χ2844111-2222-20-1-1-1000044111-2222-20-1-1-1000044111-2222-20-1-1-10000-4-4-1-1-12-2-2-2201110000-4-4-1-1-12-2-2-2201110000
χ2944111-2-2-2-2-20111000044111-2-2-2-2-20111000044111-2-2-2-2-201110000-4-4-1-1-1222220-1-1-10000-4-4-1-1-1222220-1-1-10000
χ3044-2-2-210001000020-1044-2-2-210001000020-1044-2-2-210001000020-10-4-4222-1000-10000-2010-4-4222-1000-10000-2010
χ3144-2-2-2100010000-201044-2-2-2100010000-201044-2-2-2100010000-2010-4-4222-1000-1000020-10-4-4222-1000-1000020-10
χ324-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i3200004-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i3200004-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i320000-42-11−3i321+3i322-21−i31+i3-101−1+i32−1−i320000-42-11−3i321+3i322-21−i31+i3-101−1+i32−1−i320000
χ334-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i3200004-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i3200004-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i320000-42-11−3i321+3i3222−1+i3−1−i3-10-11−i321+i320000-42-11−3i321+3i3222−1+i3−1−i3-10-11−i321+i320000
χ344-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i3200004-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i3200004-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i320000-42-11+3i321−3i322-21+i31−i3-101−1−i32−1+i320000-42-11+3i321−3i322-21+i31−i3-101−1−i32−1+i320000
χ354-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i3200004-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i3200004-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i320000-42-11+3i321−3i3222−1−i3−1+i3-10-11+i321−i320000-42-11+3i321−3i3222−1−i3−1+i3-10-11+i321−i320000
χ368-4-4222000-1000000008-4-4222000-1000000008-4-4222000-100000000-844-2-2-2000100000000-844-2-2-2000100000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111-11-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111
χ39111111-1-1-111-1-1-1111-1111111-1-1-111-1-1-1111-1-1-1-1-1-1-1111-1-1111-1-1-11111111-1-1-111-1-1-1111-1-1-1-1-1-1-1111-1-1111-1-1-11
χ40111111-1-1-111-1-1-1-11-11111111-1-1-111-1-1-1-11-11-1-1-1-1-1-1111-1-11111-11-1111111-1-1-111-1-1-1-11-11-1-1-1-1-1-1111-1-11111-11-1
χ412222220002-20000-2002222220002-20000-200-2-2-2-2-2-2000-2200002002222220002-20000-200-2-2-2-2-2-2000-220000200
χ422-12-1-120i3−i3-1-20i3−i301002-12-1-120i3−i3-1-20i3−i30100-21-211-20−i3i3120−i3i30-1002-12-1-120i3−i3-1-20i3−i30100-21-211-20−i3i3120−i3i30-100
χ432-12-1-120−i3i3-1-20−i3i301002-12-1-120−i3i3-1-20−i3i30100-21-211-20i3−i3120i3−i30-1002-12-1-120−i3i3-1-20−i3i30100-21-211-20i3−i3120i3−i30-100
χ442-12-1-122-1-1-122-1-10-1002-12-1-122-1-1-122-1-10-100-21-211-2-2111-2-21101002-12-1-122-1-1-122-1-10-100-21-211-2-2111-2-2110100
χ452-12-1-12-211-12-2110-1002-12-1-12-211-12-2110-100-21-211-22-1-11-22-1-101002-12-1-12-211-12-2110-100-21-211-22-1-11-22-1-10100
χ4644111-2222-20-1-1-1000044111-2222-20-1-1-10000-4-4-1-1-12-2-2-220111000044111-2222-20-1-1-10000-4-4-1-1-12-2-2-2201110000
χ4744111-2-2-2-2-20111000044111-2-2-2-2-201110000-4-4-1-1-1222220-1-1-1000044111-2-2-2-2-201110000-4-4-1-1-1222220-1-1-10000
χ4844-2-2-210001000020-1044-2-2-210001000020-10-4-4222-1000-10000-201044-2-2-210001000020-10-4-4222-1000-10000-2010
χ4944-2-2-2100010000-201044-2-2-2100010000-2010-4-4222-1000-1000020-1044-2-2-2100010000-2010-4-4222-1000-1000020-10
χ504-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i3200004-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i320000-42-11−3i321+3i322-21−i31+i3-101−1+i32−1−i3200004-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i320000-42-11−3i321+3i322-21−i31+i3-101−1+i32−1−i320000
χ514-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i3200004-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i320000-42-11−3i321+3i3222−1+i3−1−i3-10-11−i321+i3200004-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i320000-42-11−3i321+3i3222−1+i3−1−i3-10-11−i321+i320000
χ524-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i3200004-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i320000-42-11+3i321−3i322-21+i31−i3-101−1−i32−1+i3200004-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i320000-42-11+3i321−3i322-21+i31−i3-101−1−i32−1+i320000
χ534-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i3200004-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i320000-42-11+3i321−3i3222−1−i3−1+i3-10-11+i321−i3200004-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i320000-42-11+3i321−3i3222−1−i3−1+i3-10-11+i321−i320000
χ548-4-4222000-1000000008-4-4222000-100000000-844-2-2-20001000000008-4-4222000-100000000-844-2-2-2000100000000
χ55111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ5611111111111111-11-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111111111-11-1-1
χ57111111-1-1-111-1-1-1111-1111111-1-1-111-1-1-1111-1-1-1-1-1-1-1111-1-1111-1-1-11-1-1-1-1-1-1111-1-1111-1-1-11111111-1-1-111-1-1-1111-1
χ58111111-1-1-111-1-1-1-11-11111111-1-1-111-1-1-1-11-11-1-1-1-1-1-1111-1-11111-11-1-1-1-1-1-1-1111-1-11111-11-1111111-1-1-111-1-1-1-11-11
χ592222220002-20000-2002222220002-20000-200-2-2-2-2-2-2000-220000200-2-2-2-2-2-2000-2200002002222220002-20000-200
χ602-12-1-120i3−i3-1-20i3−i301002-12-1-120i3−i3-1-20i3−i30100-21-211-20−i3i3120−i3i30-100-21-211-20−i3i3120−i3i30-1002-12-1-120i3−i3-1-20i3−i30100
χ612-12-1-120−i3i3-1-20−i3i301002-12-1-120−i3i3-1-20−i3i30100-21-211-20i3−i3120i3−i30-100-21-211-20i3−i3120i3−i30-1002-12-1-120−i3i3-1-20−i3i30100
χ622-12-1-122-1-1-122-1-10-1002-12-1-122-1-1-122-1-10-100-21-211-2-2111-2-2110100-21-211-2-2111-2-21101002-12-1-122-1-1-122-1-10-100
χ632-12-1-12-211-12-2110-1002-12-1-12-211-12-2110-100-21-211-22-1-11-22-1-10100-21-211-22-1-11-22-1-101002-12-1-12-211-12-2110-100
χ6444111-2222-20-1-1-1000044111-2222-20-1-1-10000-4-4-1-1-12-2-2-2201110000-4-4-1-1-12-2-2-220111000044111-2222-20-1-1-10000
χ6544111-2-2-2-2-20111000044111-2-2-2-2-201110000-4-4-1-1-1222220-1-1-10000-4-4-1-1-1222220-1-1-1000044111-2-2-2-2-201110000
χ6644-2-2-210001000020-1044-2-2-210001000020-10-4-4222-1000-10000-2010-4-4222-1000-10000-201044-2-2-210001000020-10
χ6744-2-2-2100010000-201044-2-2-2100010000-2010-4-4222-1000-1000020-10-4-4222-1000-1000020-1044-2-2-2100010000-2010
χ684-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i3200004-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i320000-42-11−3i321+3i322-21−i31+i3-101−1+i32−1−i320000-42-11−3i321+3i322-21−i31+i3-101−1+i32−1−i3200004-21−1+3i32−1−3i32-22−1+i3−1−i310-11−i321+i320000
χ694-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i3200004-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i320000-42-11−3i321+3i3222−1+i3−1−i3-10-11−i321+i320000-42-11−3i321+3i3222−1+i3−1−i3-10-11−i321+i3200004-21−1+3i32−1−3i32-2-21−i31+i3101−1+i32−1−i320000
χ704-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i3200004-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i320000-42-11+3i321−3i322-21+i31−i3-101−1−i32−1+i320000-42-11+3i321−3i322-21+i31−i3-101−1−i32−1+i3200004-21−1−3i32−1+3i32-22−1−i3−1+i310-11+i321−i320000
χ714-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i3200004-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i320000-42-11+3i321−3i3222−1−i3−1+i3-10-11+i321−i320000-42-11+3i321−3i3222−1−i3−1+i3-10-11+i321−i3200004-21−1−3i32−1+3i32-2-21+i31−i3101−1−i32−1+i320000
χ728-4-4222000-1000000008-4-4222000-100000000-844-2-2-2000100000000-844-2-2-20001000000008-4-4222000-100000000
χ73222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000
χ7422222222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-222000000000000000000000000000000000000000000000000000000
χ75222222-2-2-222-2-2-2222-2-2-2-2-2-2-2222-2-2222-2-2-22000000000000000000000000000000000000000000000000000000
χ76222222-2-2-222-2-2-2-22-22-2-2-2-2-2-2222-2-22222-22-2000000000000000000000000000000000000000000000000000000
χ774444440004-40000-400-4-4-4-4-4-4000-440000400000000000000000000000000000000000000000000000000000000
χ784-24-2-2402i3−2i3-2-402i3−2i30200-42-422-40−2i32i3240−2i32i30-200000000000000000000000000000000000000000000000000000000
χ794-24-2-240−2i32i3-2-40−2i32i30200-42-422-402i3−2i32402i3−2i30-200000000000000000000000000000000000000000000000000000000
χ804-24-2-244-2-2-244-2-20-200-42-422-4-4222-4-4220200000000000000000000000000000000000000000000000000000000
χ814-24-2-24-422-24-4220-200-42-422-44-2-22-44-2-20200000000000000000000000000000000000000000000000000000000
χ8288222-4444-40-2-2-20000-8-8-2-2-24-4-4-4402220000000000000000000000000000000000000000000000000000000000
χ8388222-4-4-4-4-402220000-8-8-2-2-2444440-2-2-20000000000000000000000000000000000000000000000000000000000
χ8488-4-4-420002000040-20-8-8444-2000-20000-4020000000000000000000000000000000000000000000000000000000
χ8588-4-4-4200020000-4020-8-8444-2000-2000040-20000000000000000000000000000000000000000000000000000000
χ868-42−1+3i3−1−3i3-44−2+2i3−2−2i320-21−i31+i30000-84-21−3i31+3i34-42−2i32+2i3-202−1+i3−1−i30000000000000000000000000000000000000000000000000000000000
χ878-42−1+3i3−1−3i3-4-42−2i32+2i3202−1+i3−1−i30000-84-21−3i31+3i344−2+2i3−2−2i3-20-21−i31+i30000000000000000000000000000000000000000000000000000000000
χ888-42−1−3i3−1+3i3-44−2−2i3−2+2i320-21+i31−i30000-84-21+3i31−3i34-42+2i32−2i3-202−1−i3−1+i30000000000000000000000000000000000000000000000000000000000
χ898-42−1−3i3−1+3i3-4-42+2i32−2i3202−1−i3−1+i30000-84-21+3i31−3i344−2−2i3−2+2i3-20-21+i31−i30000000000000000000000000000000000000000000000000000000000
χ9016-8-8444000-200000000-1688-4-4-4000200000000000000000000000000000000000000000000000000000000000000

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