Finite Group Databasebeta

← Group #13172697

Character table — Group #13172697

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order122222333666666666333666666666666666666622224466663666666666662246666666666666666666612121212121222666666666121212121222444666612124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-11111111111-1-111-1-1-1-1-1-1-111-1-1-111-1-11-1-11-111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-11-11-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-111-1-111111111111111111111111-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-11-11-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-111-1-111111111111111111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1111-1-11-111-1-11111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111111-1-111111-1-1-1-1111-1-1-1-1-11-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11-1-1-1111-1-1-1-1111-1-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111111-1-111111-1-1-1-1111-1-1-1-1-1-1111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11-1-111111-1-11111-1-1-1-1-111
χ111111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111
χ121111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-11-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-11-1-111-11-111-1-11111111-1-1
χ131111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1111111111-1-1-1-1111-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11-1-111-111-1-1-11-111-1-11111-1-11-11
χ141111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-111111-1-111-1-1-1-1-11111-11-1
χ151111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-111-111-1-1111-1-11111-1-111-11-1
χ161111-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1111111-1-1-1111-1-1-1-1-1-11-11
χ1722222222-122-1-12-1222-1-122222-1-1-1-1-1-12222222-1-12200220000-1-1-1-1-1-1-1-1-1-1-1-102200002200-1-1-1-100000000-1-1-1-12222-1-1-1-12-1-1-1-12-1-1-1-10200000-1-10000000
χ1822222222-122-1-12-1222-1-122222-1-1-1-1-1-12222222-1-12200220000-1-1-1-1-1-1-1-1-1-1-1-10-2-200002200-1-11100000000-1-11122-2-21111-2-1-111-2-1-1110-200000110000000
χ1922222222-122-1-12-1222-1-122222-1-1-1-1-1-12222222-1-1-2-200-2-20000-1-1-1-1-1-1-1-1-1-1-1-10220000-2-20011-1-10000000011-1-1-2-2-2-21111211-1-1211-1-10-200000110000000
χ2022222222-122-1-12-1222-1-122222-1-1-1-1-1-12222222-1-1-2-200-2-20000-1-1-1-1-1-1-1-1-1-1-1-10-2-20000-2-2001111000000001111-2-222-1-1-1-1-21111-211110200000-1-10000000
χ212222222-12-1-1222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-12002222-1-1-1-12200-1-1-1-1-1-1-1-12200-1-10000000-1-1000-1-10020020-1-100-1-100000
χ222222222-12-1-1222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-122-2-2221111-122-1-1-1-1-1-1-1-1-1-200-2-2-2-2-1-1112200111111112200-1-10000000-1-1000-1-100-200-2011001100000
χ232222222-12-1-1222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-2-222-2-2-1-1-1-1-122-1-1-1-1-1-1-1-1-1200222211-1-1-2-200-1-1-1-1-1-1-1-1-2-200110000000110001100-200-2011001100000
χ242222222-12-1-1222222-12-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-200-2-2-2-21111-2-20011111111-2-20011000000011000110020020-1-100-1-100000
χ25222222-1222222-12-1-12-12-1-1-12222-1-122-1-1-1-1-1-1-1-120022002222-1-1-122-1-1-1-1-1-1-1222-1-1-1-100220022-1-1-1-1-1-1-1-1002200000000-100-1-1-100-1-10020200000000-1-10
χ26222222-1222222-12-1-12-12-1-1-12222-1-122-1-1-1-1-1-1-1-120022002222-1-1-122-1-1-1-1-1-1-12-2-2-1-1-1-1002200-2-2-1-1-1-1-1-1-1-100-2-200000000100111001100-20-200000000110
χ27222222-1222222-12-1-12-12-1-1-12222-1-122-1-1-1-1-1-1-1-1200-2-200-2-2-2-2-1-1-122-1-1-1-1-1-1-1-222111100-2-2002211111111002200000000-100-1-1-100-1-100-20-200000000110
χ28222222-1222222-12-1-12-12-1-1-12222-1-122-1-1-1-1-1-1-1-1200-2-200-2-2-2-2-1-1-122-1-1-1-1-1-1-1-2-2-2111100-2-200-2-21111111100-2-20000000010011100110020200000000-1-10
χ292222-2-222-122-1-12-1222-1-12-2-2-2-211-1-1-1-1222-2-2-2-2-1-12200-2-20000-11111-1-1-1111102-200002200-1-1-1-1000000001111-2-222-1-1-1-12-1-1-1-1-211110-200000110000000
χ302222-2-222-122-1-12-1222-1-12-2-2-2-211-1-1-1-1222-2-2-2-2-1-12200-2-20000-11111-1-1-111110-2200002200-1-1110000000011-1-1-2-2-2-21111-2-1-111211-1-10200000-1-10000000
χ312222-2-222-122-1-12-1222-1-12-2-2-2-211-1-1-1-1222-2-2-2-2-1-1-2-200220000-11111-1-1-1111102-20000-2-20011-1-100000000-1-11122-2-21111211-1-1-2-1-1110200000-1-10000000
χ322222-2-222-122-1-12-1222-1-12-2-2-2-211-1-1-1-1222-2-2-2-2-1-1-2-200220000-11111-1-1-111110-220000-2-200111100000000-1-1-1-12222-1-1-1-1-211112-1-1-1-10-200000110000000
χ332222-2-22-12-1-1222222-12-1-1-2-211-2-222-1-1-1-1-111112-12222-2-2-1-1-1-1-1-2-211-1-1-11111-20022-2-2-1-1112200-1-1-1-11111-2-200110000000-1-10001100200-20-1-1001100000
χ342222-2-22-12-1-1222222-12-1-1-2-211-2-222-1-1-1-1-111112-122-2-2-2-21111-1-2-211-1-1-11111200-2-222-1-1-1-122001111-1-1-1-1-2-200110000000-1-10001100-200201100-1-100000
χ352222-2-22-12-1-1222222-12-1-1-2-211-2-222-1-1-1-1-111112-1-2-22222-1-1-1-1-1-2-211-1-1-11111-20022-2-21111-2-200-1-1-1-111112200-1-1000000011000-1-100-200201100-1-100000
χ362222-2-22-12-1-1222222-12-1-1-2-211-2-222-1-1-1-1-111112-1-2-2-2-2221111-1-2-211-1-1-11111200-2-22211-1-1-2-2001111-1-1-1-12200-1-1000000011000-1-100200-20-1-1001100000
χ372222-2-2-1222222-12-1-12-12-111-2-2-2-2-1-122-1-1-11111-120022002222-111-2-2-1-1-11111-22-2-1-11100-2-20022-1-1-1-1111100-2-200000000-100-1-11001100-20200000000-110
χ382222-2-2-1222222-12-1-12-12-111-2-2-2-2-1-122-1-1-11111-120022002222-111-2-2-1-1-11111-2-22-1-11100-2-200-2-2-1-1-1-1111100220000000010011-100-1-10020-2000000001-10
χ392222-2-2-1222222-12-1-12-12-111-2-2-2-2-1-122-1-1-11111-1200-2-200-2-2-2-2-111-2-2-1-1-1111122-211-1-1002200221111-1-1-1-100-2-200000000-100-1-1100110020-2000000001-10
χ402222-2-2-1222222-12-1-12-12-111-2-2-2-2-1-122-1-1-11111-1200-2-200-2-2-2-2-111-2-2-1-1-111112-2211-1-1002200-2-21111-1-1-1-100220000000010011-100-1-100-20200000000-110
χ412-22-22-2222-2-2-2-222-2-222222-22-22-2-2-2-2-22-2-222-2-2222-2002-2000022-22-22-2-222-2-200000002-2002-200000000002-2002-200000002-20002-2000000000000000000
χ422-22-22-2222-2-2-2-222-2-222222-22-22-2-2-2-2-22-2-222-2-222-2200-22000022-22-22-2-222-2-20000000-2200-220000000000-2200-220000000-22000-22000000000000000000
χ432-22-22-222-1-2-2112-1-2-22-1-122-22-2-1111112-2-222-2-2-1-12-2002-20000-1-11-11-111-1-11100000002-200-11i3−i300000000-11i3−i32-200i3i3−i3−i30-11i3−i30-11i3−i30000000i3−i30000000
χ442-22-22-222-1-2-2112-1-2-22-1-122-22-2-1111112-2-222-2-2-1-12-2002-20000-1-11-11-111-1-11100000002-200-11−i3i300000000-11−i3i32-200−i3−i3i3i30-11−i3i30-11−i3i30000000−i3i30000000
χ452-22-22-222-1-2-2112-1-2-22-1-122-22-2-1111112-2-222-2-2-1-1-2200-220000-1-11-11-111-1-1110000000-22001-1i3−i3000000001-1i3−i3-2200−i3−i3i3i301-1i3−i301-1i3−i30000000−i3i30000000
χ462-22-22-222-1-2-2112-1-2-22-1-122-22-2-1111112-2-222-2-2-1-1-2200-220000-1-11-11-111-1-1110000000-22001-1−i3i3000000001-1−i3i3-2200i3i3−i3−i301-1−i3i301-1−i3i30000000i3−i30000000
χ472-22-22-22-1211-2-222-2-2-12-1-12-2-112-2-2-211-111-1-1112-12-2002-2i3i3−i3−i3-12-2-11-111-1-1110000000-11i3−i32-200i3i3−i3−i3i3i3−i3−i32-200-110000000-11000-110000000i3−i300i3−i300000
χ482-22-22-22-1211-2-222-2-2-12-1-12-2-112-2-2-211-111-1-1112-12-2002-2−i3−i3i3i3-12-2-11-111-1-1110000000-11−i3i32-200−i3−i3i3i3−i3−i3i3i32-200-110000000-11000-110000000−i3i300−i3i300000
χ492-22-22-22-1211-2-222-2-2-12-1-12-2-112-2-2-211-111-1-1112-1-2200-22i3i3−i3−i3-12-2-11-111-1-11100000001-1i3−i3-2200i3i3−i3−i3i3i3−i3−i3-22001-100000001-10001-10000000−i3i300−i3i300000
χ502-22-22-22-1211-2-222-2-2-12-1-12-2-112-2-2-211-111-1-1112-1-2200-22−i3−i3i3i3-12-2-11-111-1-11100000001-1−i3i3-2200−i3−i3i3i3−i3−i3i3i3-22001-100000001-10001-10000000i3−i300i3−i300000
χ512-22-2-22222-2-2-2-222-2-22222-22-22-22-2-2-2-22-2-2-2-222222-200-2200002-22-222-2-2-2-22200000002-2002-20000000000-2200-2200000002-2000-22000000000000000000
χ522-22-2-22222-2-2-2-222-2-22222-22-22-22-2-2-2-22-2-2-2-22222-22002-200002-22-222-2-2-2-2220000000-2200-2200000000002-2002-20000000-220002-2000000000000000000
χ532-22-2-2222-1-2-2112-1-2-22-1-12-22-221-111112-2-2-2-222-1-12-200-220000-11-11-1-11111-1-100000002-200-11i3−i3000000001-1−i3i3-2200i3i3−i3−i30-11i3−i301-1−i3i30000000−i3i30000000
χ542-22-2-2222-1-2-2112-1-2-22-1-12-22-221-111112-2-2-2-222-1-12-200-220000-11-11-1-11111-1-100000002-200-11−i3i3000000001-1i3−i3-2200−i3−i3i3i30-11−i3i301-1i3−i30000000i3−i30000000
χ552-22-2-2222-1-2-2112-1-2-22-1-12-22-221-111112-2-2-2-222-1-1-22002-20000-11-11-1-11111-1-10000000-22001-1i3−i300000000-11−i3i32-200−i3−i3i3i301-1i3−i30-11−i3i30000000i3−i30000000
χ562-22-2-2222-1-2-2112-1-2-22-1-12-22-221-111112-2-2-2-222-1-1-22002-20000-11-11-1-11111-1-10000000-22001-1−i3i300000000-11i3−i32-200i3i3−i3−i301-1−i3i30-11i3−i30000000−i3i30000000
χ572-22-2-222-1211-2-222-2-2-12-1-1-221-1-22-2-211-11111-1-12-12-200-22i3i3−i3−i3-1-221-1-11111-1-10000000-11−i3i32-200i3i3−i3−i3−i3−i3i3i3-22001-10000000-110001-10000000i3−i300−i3i300000
χ582-22-2-222-1211-2-222-2-2-12-1-1-221-1-22-2-211-11111-1-12-12-200-22−i3−i3i3i3-1-221-1-11111-1-10000000-11i3−i32-200−i3−i3i3i3i3i3−i3−i3-22001-10000000-110001-10000000−i3i300i3−i300000
χ592-22-2-222-1211-2-222-2-2-12-1-1-221-1-22-2-211-11111-1-12-1-22002-2i3i3−i3−i3-1-221-1-11111-1-100000001-1−i3i3-2200i3i3−i3−i3−i3−i3i3i32-200-1100000001-1000-110000000−i3i300i3−i300000
χ602-22-2-222-1211-2-222-2-2-12-1-1-221-1-22-2-211-11111-1-12-1-22002-2−i3−i3i3i3-1-221-1-11111-1-100000001-1i3−i3-2200−i3−i3i3i3i3i3−i3−i32-200-1100000001-1000-110000000i3−i300−i3i300000
χ612-2-22002222-22-2-2-22-2-22220000002-22-2-22-20000-2-2002-2002-22-220000-22-200000002-200000000002-22-200000000002-22-22-20000000000000000000002-2000
χ622-2-22002222-22-2-2-22-2-22220000002-22-2-22-20000-2-2002-2002-22-220000-22-200000002-200000000002-22-20000000000-22-22-22000000000000000000000-22000
χ632-2-22002222-22-2-2-22-2-22220000002-22-2-22-20000-2-200-2200-22-2220000-22-20000000-220000000000-22-2200000000002-22-22-2000000000000000000000-22000
χ642-2-22002222-22-2-2-22-2-22220000002-22-2-22-20000-2-200-2200-22-2220000-22-20000000-220000000000-22-220000000000-22-22-220000000000000000000002-2000
χ654444444-2-2-2-2-2-24-244-2-21-244-2-2-2-2-2-211-2-2-2-2-2-2-2-2144004400001-2-21111111110000000-2-200-2-20000000000-2-200-2-200000001100011000000000000000000
χ664444444-2-2-2-2-2-24-244-2-21-244-2-2-2-2-2-211-2-2-2-2-2-2-2-21-4-400-4-400001-2-2111111111000000022002200000000002200220000000-1-1000-1-1000000000000000000
χ67444444-24-244-2-2-2-2-2-241-2-2-2-244-2-211-2-2-2-2-2-2-2-2-21-20000000000111-2-211111110440000000000-2-20000000000-2-200000000-20011-200110000000000000000
χ68444444-24-244-2-2-2-2-2-241-2-2-2-244-2-211-2-2-2-2-2-2-2-2-21-20000000000111-2-211111110-4-400000000002200000000002200000000200-1-1200-1-10000000000000000
χ69444444-2-24-2-244-24-2-2-2-2-21-2-2-2-244-2-2-2-21111111-2-2004400-2-2-2-21-2-2-2-21111111400-2-2-2-200-2-200001111111100000000000000000000000000000000000000
χ70444444-2-24-2-244-24-2-2-2-2-21-2-2-2-244-2-2-2-21111111-2-200-4-40022221-2-2-2-21111111-400222200220000-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ714444-4-44-2-2-2-2-2-24-244-2-21-2-4-42222-2-211-2-2-22222-214400-4-40000122-1-1111-1-1-1-10000000-2-200-2-20000000000220022000000011000-1-1000000000000000000
χ724444-4-44-2-2-2-2-2-24-244-2-21-2-4-42222-2-211-2-2-22222-21-4-400440000122-1-1111-1-1-1-100000002200220000000000-2-200-2-20000000-1-100011000000000000000000
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Here i is the imaginary unit (i² = −1).