Finite Group Databasebeta

← Group #13172656

Character table — Group #13172656

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order1222223336666666666666333666666666666666666666222222226666666666666666366666666622224466666666666666666666666622666666661212121212121212224466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-11-11-11-11-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111111-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1
χ101111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-11
χ111111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-11-1-111-1-11-11
χ121111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-111-1-111-11-1
χ131111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-111-1-111-1-11
χ141111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-1111-1-111-1-111-1
χ151111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111-1
χ161111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11111-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-11
χ1722222222-1-1-1-1-1-1-1-12222222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122220022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ1822222222-1-1-1-1-1-1-1-12222222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-111111111-122-1-1-1-1-1-1-1-2-2-2-2002222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-211111111000000000000000000
χ1922222222-1-1-1-1-1-1-1-12222222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2222211111111-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-200-2-2-2-2222211111111-1-1-1-1-1-1-1-1-2-211111111000000000000000000
χ2022222222-1-1-1-1-1-1-1-12222222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111111111111111-122-1-1-1-1-1-1-1222200-2-2-2-2-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1000000000000000000
χ212222222-12222222222-1-12-1-12-122-1-1-1222-1-1-12222-1-1-1-1-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-10000220000-1-1-1-100000000-1-1-1-1-1-1-1-100000000002-12-1-1-1-1-102020-10-100
χ222222222-12222222222-1-12-1-12-122-1-1-1222-1-1-12222-1-1-1-1-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-20000-1-1-1-100000000-1-1-1-1-1-1-1-10000000000-21-2111110-20-2010100
χ232222222-12222222222-1-12-1-12-122-1-1-1222-1-1-12222-1-1-1-1-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100002200001111000000001111111100000000002-12-1-1-1-1-10-20-2010100
χ242222222-12222222222-1-12-1-12-122-1-1-1222-1-1-12222-1-1-1-1-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-20000111100000000111111110000000000-21-21111102020-10-100
χ25222222-1222222222-1-122-12-1-12-1-122-1-1-1-1222-1-1-1-12222-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000-12-12-1-1-1-12020-10-1000
χ26222222-1222222222-1-122-12-1-12-1-122-1-1-1-1222-1-1-1-12222-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-10000-1-1-1-1-1-1-1-10000000000000000001-21-21111-20-20101000
χ27222222-1222222222-1-122-12-1-12-1-122-1-1-1-1222-1-1-1-12222-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000221111000011111111000000000000000000-12-12-1-1-1-1-20-20101000
χ28222222-1222222222-1-122-12-1-12-1-122-1-1-1-1222-1-1-1-12222-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-211110000111111110000000000000000001-21-211112020-10-1000
χ292222-2-222-1-1-1-111112222222-1-1-2-2-2-22-1-1-1-1-1-1111111112222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-2-2-1-1-1111122220022-2-222-2-2-1-1-1-11111-1-1-1-11111-2-2-1-1-1-11111000000000000000000
χ302222-2-222-1-1-1-111112222222-1-1-2-2-2-22-1-1-1-1-1-1111111112222-2-2-2-222-1-1-1-111111111-1-1-1-1-1-2-2-1-1-11111-2-2-2-20022-2-2-2-222-1-1-1-111111111-1-1-1-1221111-1-1-1-1000000000000000000
χ312222-2-222-1-1-1-111112222222-1-1-2-2-2-22-1-1-1-1-1-11111111122-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-2-2-1-1-11111-2-2-2-200-2-22222-2-21111-1-1-1-1-1-1-1-11111221111-1-1-1-1000000000000000000
χ322222-2-222-1-1-1-111112222222-1-1-2-2-2-22-1-1-1-1-1-11111111122-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-2-2-1-1-11111222200-2-222-2-2221111-1-1-1-11111-1-1-1-1-2-2-1-1-1-11111000000000000000000
χ332222-2-22-12222-2-2-2-222-1-12-1-12-1-2-211-1222-1-1-1-2-2-2-21111-1-1000022-2-2000000002222-2-2-2-2-111-1-1-1111100002-20000-1-11100000000-1-1-1-1111100000000002-1-21-1-111020-20-10100
χ342222-2-22-12222-2-2-2-222-1-12-1-12-1-2-211-1222-1-1-1-2-2-2-21111-1-1000022-2-2000000002222-2-2-2-2-111-1-1-111110000-220000-1-11100000000-1-1-1-111110000000000-212-111-1-10-202010-100
χ352222-2-22-12222-2-2-2-222-1-12-1-12-1-2-211-1222-1-1-1-2-2-2-21111-1-10000-2-22200000000-2-2-2-22222-111-1-1-1111100002-2000011-1-1000000001111-1-1-1-100000000002-1-21-1-1110-202010-100
χ362222-2-22-12222-2-2-2-222-1-12-1-12-1-2-211-1222-1-1-1-2-2-2-21111-1-10000-2-22200000000-2-2-2-22222-111-1-1-111110000-22000011-1-1000000001111-1-1-1-10000000000-212-111-1-1020-20-10100
χ372222-2-2-122222-2-2-2-2-1-122-12-1-1211-2-2-1-1-1-12221111-2-2-2-2-1-122-2-200002222-2-2-2-200000000-111-1-1-1111100002-2-1-1110000-1-1-1-11111000000000000000000-121-2-1-11120-20-101000
χ382222-2-2-122222-2-2-2-2-1-122-12-1-1211-2-2-1-1-1-12221111-2-2-2-2-1-122-2-200002222-2-2-2-200000000-111-1-1-111110000-22-1-1110000-1-1-1-111110000000000000000001-2-1211-1-1-202010-1000
χ392222-2-2-122222-2-2-2-2-1-122-12-1-1211-2-2-1-1-1-12221111-2-2-2-2-1-1-2-2220000-2-2-2-2222200000000-111-1-1-1111100002-211-1-100001111-1-1-1-1000000000000000000-121-2-1-111-202010-1000
χ402222-2-2-122222-2-2-2-2-1-122-12-1-1211-2-2-1-1-1-12221111-2-2-2-2-1-1-2-2220000-2-2-2-2222200000000-111-1-1-111110000-2211-1-100001111-1-1-1-10000000000000000001-2-1211-1-120-20-101000
χ4122-2-22-22222-2-222-2-2-2-2-2-2222222-22-222-2-22-2-222-2-222-2-2-2-200000000000000000000000022-22-2-222-2-222-2-2000000000000000000000000002-222-2-222-2-2000000000000000000
χ4222-2-22-22222-2-222-2-2-2-2-2-2222222-22-222-2-22-2-222-2-222-2-2-2-200000000000000000000000022-22-2-222-2-2-2-22200000000000000000000000000-22-2-222-2-222000000000000000000
χ4322-2-22-222-1-111-1-111-2-2-2-2222-1-12-22-22-111-111-1-111-1-111-2-200000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-12-2-111-1-11122-2-20000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-2-1-111-1-111000000000000000000
χ4422-2-22-222-1-111-1-111-2-2-2-2222-1-12-22-22-111-111-1-111-1-111-2-200000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-12-2-111-1-111-2-2220000000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-2211-1-111-1-1000000000000000000
χ4522-2-22-222-1-111-1-111-2-2-2-2222-1-12-22-22-111-111-1-111-1-111-2-200000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-12-2-111-1-111-2-2220000000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-2211-1-111-1-1000000000000000000
χ4622-2-22-222-1-111-1-111-2-2-2-2222-1-12-22-22-111-111-1-111-1-111-2-200000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-12-2-111-1-11122-2-20000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-2-1-111-1-111000000000000000000
χ4722-2-2-222222-2-2-2-222-2-2-2-222222-22-2222-2-22-2-2-2-222-2-222-2-20000000000000000000000002-222-2-2-2-22222-2-200000000000000000000000000-2222-2-2-2-222000000000000000000
χ4822-2-2-222222-2-2-2-222-2-2-2-222222-22-2222-2-22-2-2-2-222-2-222-2-20000000000000000000000002-222-2-2-2-222-2-222000000000000000000000000002-2-2-22222-2-2000000000000000000
χ4922-2-2-2222-1-11111-1-1-2-2-2-2222-1-1-22-222-111-11111-1-111-1-1-2-200000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-1-22-11111-1-122-2-20000000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-22-1-11111-1-1000000000000000000
χ5022-2-2-2222-1-11111-1-1-2-2-2-2222-1-1-22-222-111-11111-1-111-1-1-2-200000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3-1-22-11111-1-1-2-2220000000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i32-211-1-1-1-111000000000000000000
χ5122-2-2-2222-1-11111-1-1-2-2-2-2222-1-1-22-222-111-11111-1-111-1-1-2-200000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3-1-22-11111-1-1-2-2220000000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i32-211-1-1-1-111000000000000000000
χ5222-2-2-2222-1-11111-1-1-2-2-2-2222-1-1-22-222-111-11111-1-111-1-1-2-200000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-22-11111-1-122-2-20000000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-22-1-11111-1-1000000000000000000
χ532-22-200222-22-200002-22-2-2-22220000-2-22-2-22-2000000002-2002-2002-200002-22-200002-22-2200-22-200002-22-200002-2002-200002-22-200002-22-2002-22-20000000000000000000000
χ542-22-200222-22-200002-22-2-2-22220000-2-22-2-22-2000000002-2002-200-2200002-22-20000-22-22200-22-20000-22-2200002-200-2200002-22-20000-22-2200-22-220000000000000000000000
χ552-22-200222-22-200002-22-2-2-22220000-2-22-2-22-2000000002-200-22002-20000-22-2200002-22-2200-22-20000-22-220000-22002-20000-22-2200002-22-200-22-220000000000000000000000
χ562-22-200222-22-200002-22-2-2-22220000-2-22-2-22-2000000002-200-2200-220000-22-220000-22-22200-22-200002-22-20000-2200-220000-22-220000-22-22002-22-20000000000000000000000
χ572-22-20022-11-11−i3i3−i3i32-22-2-2-22-1-10000-21-111-11−i3i3−i3i3−i3i3−i3i32-2002-2002-2−i3i3−i3i3-11-11−i3i3−i3i3-11-11-1001-11−i3i3−i3i32-22-200002-2002-2−i3i3−i3i3-11-11−i3i3−i3i3-11-1100-11-11−i3i3−i3i3000000000000000000
χ582-22-20022-11-11−i3i3−i3i32-22-2-2-22-1-10000-21-111-11−i3i3−i3i3−i3i3−i3i32-2002-200-22−i3i3−i3i3-11-11i3−i3i3−i31-11-1-1001-11−i3i3−i3i3-22-2200002-200-22−i3i3−i3i3-11-11i3−i3i3−i31-11-1001-11-1i3−i3i3−i3000000000000000000
χ592-22-20022-11-11−i3i3−i3i32-22-2-2-22-1-10000-21-111-11−i3i3−i3i3−i3i3−i3i32-200-22002-2i3−i3i3−i31-11-1−i3i3−i3i3-11-11-1001-11−i3i3−i3i3-22-220000-22002-2i3−i3i3−i31-11-1−i3i3−i3i3-11-11001-11-1i3−i3i3−i3000000000000000000
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χ1358-88-800-4-4-44-444i3−4i34i3−4i3-44-44442220000-2-22-2-22-2−2i32i3−2i32i3−2i32i3−2i32i32-2000000000000000000000000-1001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1368-8-8800-4-48-8-8800004-44-4442-4-40000-244-444-400000000-22000000000000000000000000200-2-2200000000000000000000000000000000000000000000000000000000000000
χ1378-8-8800-4-4-444-4−4i34i34i3−4i34-44-4442220000-2-2-22-2-222i3−2i3−2i32i32i3−2i3−2i32i3-22000000000000000000000000-10011-1−i3i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1388-8-8800-4-4-444-44i3−4i3−4i34i34-44-4442220000-2-2-22-2-22−2i32i32i3−2i3−2i32i32i3−2i3-22000000000000000000000000-10011-1i3−i3−i3i30000000000000000000000000000000000000000000000000000000000

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