Finite Group Databasebeta

← Group #13178669

Character table — Group #13178669

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order12222233366666666623333346666666666666666666666612126666666666666666666666121212121212121212121212444412121212222224444466666666661212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111-111111-111-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111111-111111-111-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ7111111111111111111-111111-111-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-111-1-111
χ8111111111111111111-111111-111-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111-1-1-1-11111-1-11111-1-1
χ91111-1-1111111111111111111-1-1-111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-11-11-11-11-1-111-1-111-1-1-1-1111-11-1
χ101111-1-1111111111111111111-1-1-111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-11-11-111-1-1-1-111-1-111-1-111-11-11
χ111111-1-1111111111111111111-1-1-111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11-11111-1-1-1-11111-1-11-1-11
χ121111-1-1111111111111111111-1-1-111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-111-1-11111-1-111-1-1-111-1
χ131111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111-11-1-11-11-11111-1-111-1-1-1-1-1-1-11-11
χ141111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111-11-111-11-1-111-1-111-1-111-1-1-1-11-11-1
χ151111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-11-1-11-111-11-1-111-1-1-1-1111111-111-1
χ161111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-111111-1-11
χ1722222222-1222-122-1-1222-1-1-1-12222222-1-122-1-1-1-1-1-1-1-12-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1000000000002200220000000-1-1-1-1000000-1-1
χ1822222222-1222-122-1-1222-1-1-1-12222222-1-122-1-1-1-1-1-1-1-12-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-100000000000-2-200-2-20000000111100000011
χ1922222222-1222-122-1-12-22-1-1-1-1-222-2-222-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2122-1-1-1-1-1-1-1-1-2-211111111-21-2-211111111000000000002200-2-20000000-1-1-1-100000011
χ2022222222-1222-122-1-12-22-1-1-1-1-222-2-222-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2122-1-1-1-1-1-1-1-1-2-211111111-21-2-21111111100000000000-2-2002200000001111000000-1-1
χ212222222-1222-12-1-12222-12-1-1-122222-1-122-1-122-1-1-1-1-1-1-12-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-100000000022002200000-1-1-1-100000000-1-100
χ222222222-1222-12-1-12222-12-1-1-122222-1-122-1-122-1-1-1-1-1-1-12-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1000000000-2-200-2-2000001111000000001100
χ232222222-1222-12-1-1222-2-12-1-1-1-222-2-2-1-122-1-122-1-1-1-1-1-1-12-1-1-1-2-21-2-1-122-1-1-1-1-1-111-2-21111111-211-2-21111110000000002200-2-200000-1-1-1-1000000001100
χ242222222-1222-12-1-1222-2-12-1-1-1-222-2-2-1-122-1-122-1-1-1-1-1-1-12-1-1-1-2-21-2-1-122-1-1-1-1-1-111-2-21111111-211-2-2111111000000000-2-2002200000111100000000-1-100
χ25222222-122-1-1222222-12-1-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-12000000002-1-100000000-1-1-1-10000
χ26222222-122-1-1222222-12-1-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111-200000000-2110000000011110000
χ27222222-122-1-1222222-1-2-1-12-1-1-2-1-1112222-1-1-1-122-1-1-1-1-1-12-1-111-2-2-1-1-1-122-1-1-1-11111-2-21111-2-21111-2-211112222-1-1-1-1-200000000-21100000000-1-1110000
χ28222222-122-1-1222222-1-2-1-12-1-1-2-1-1112222-1-1-1-122-1-1-1-1-1-12-1-111-2-2-1-1-1-122-1-1-1-11111-2-21111-2-21111-2-21111-2-2-2-211112000000002-1-10000000011-1-10000
χ292222-2-222-1222-122-1-1222-1-1-1-1-2-2-222-2-21122-1-1-1-1-1-1-1-12-1-1-1-1-2-22-1-2-21111111122-1-1-1-1-1-1-1-1-21-2-211111111000000000002-2002-20000000-1-111000000-11
χ302222-2-222-1222-122-1-1222-1-1-1-1-2-2-222-2-21122-1-1-1-1-1-1-1-12-1-1-1-1-2-22-1-2-21111111122-1-1-1-1-1-1-1-1-21-2-21111111100000000000-2200-22000000011-1-10000001-1
χ312222-2-222-1222-122-1-12-22-1-1-1-12-2-2-2-2-2-21122-1-1-1-1-1-1-1-12-1-1-1-122-21-2-211111111-2-2111111112-122-1-1-1-1-1-1-1-1000000000002-200-220000000-1-1110000001-1
χ322222-2-222-1222-122-1-12-22-1-1-1-12-2-2-2-2-2-21122-1-1-1-1-1-1-1-12-1-1-1-122-21-2-211111111-2-2111111112-122-1-1-1-1-1-1-1-100000000000-22002-2000000011-1-1000000-11
χ332222-2-22-1222-12-1-12222-12-1-1-1-2-2-22211-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-1211-2-2111111-1-122-1-1-1-1-1-11-211-2-21111110000000002-2002-200000-1-11100000000-1100
χ342222-2-22-1222-12-1-12222-12-1-1-1-2-2-22211-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-1211-2-2111111-1-122-1-1-1-1-1-11-211-2-2111111000000000-2200-220000011-1-1000000001-100
χ352222-2-22-1222-12-1-1222-2-12-1-1-12-2-2-2-211-2-2-1-122-1-1-1-1-1-1-12-1-1-1221-211-2-211111111-2-2111111-12-1-122-1-1-1-1-1-10000000002-200-2200000-1-111000000001-100
χ362222-2-22-1222-12-1-1222-2-12-1-1-12-2-2-2-211-2-2-1-122-1-1-1-1-1-1-12-1-1-1221-211-2-211111111-2-2111111-12-1-122-1-1-1-1-1-1000000000-22002-20000011-1-100000000-1100
χ372222-2-2-122-1-1222222-12-1-12-1-1-211-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-111221111-2-21111-1-1-1-122-1-1-1-1-2-21111-2-2111122-2-2-1-1-1-1-2000000002110000000011-1-10000
χ382222-2-2-122-1-1222222-12-1-12-1-1-211-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-111221111-2-21111-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2221111200000000-2-1-100000000-1-1110000
χ392222-2-2-122-1-1222222-1-2-1-12-1-121111-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-1-2-21111-2-211111111-2-2111122-1-1-1-122-1-1-1-122-2-2-1-1-1-1200000000-2-1-10000000011110000
χ402222-2-2-122-1-1222222-1-2-1-12-1-121111-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-1-2-21111-2-211111111-2-2111122-1-1-1-122-1-1-1-1-2-2221111-20000000021100000000-1-1-1-10000
χ412-2-222-2222-2-222-2-2-2-2202222202-2002-22-2-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-200000000000000000000002-22-222-2-2000000000000000000002-2000000
χ422-2-222-2222-2-222-2-2-2-2202222202-2002-22-2-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-20000000000000000000000-22-22-2-22200000000000000000000-22000000
χ432-2-222-2-1221122-2-2-2-2-10-1-12-1-10-11−i3i32-22-21111-2-21111-1-12-1-1−i3i300-11-112-2-1-111−i3i3−i3i300−i3−i3i3i300−i3i3−i3i300−i3−i3i3i32-22-2-1-1110000000000−i3i300000000-11−i3i30000
χ442-2-222-2-1221122-2-2-2-2-10-1-12-1-10-11−i3i32-22-21111-2-21111-1-12-1-1−i3i300-11-112-2-1-111−i3i3−i3i300−i3−i3i3i300−i3i3−i3i300−i3−i3i3i3-22-2211-1-10000000000i3−i3000000001-1i3−i30000
χ452-2-222-2-1221122-2-2-2-2-10-1-12-1-10-11i3−i32-22-21111-2-21111-1-12-1-1i3−i300-11-112-2-1-111i3−i3i3−i300i3i3−i3−i300i3−i3i3−i300i3i3−i3−i32-22-2-1-1110000000000i3−i300000000-11i3−i30000
χ462-2-222-2-1221122-2-2-2-2-10-1-12-1-10-11i3−i32-22-21111-2-21111-1-12-1-1i3−i300-11-112-2-1-111i3−i3i3−i300i3i3−i3−i300i3−i3i3−i300i3i3−i3−i3-22-2211-1-10000000000−i3i3000000001-1−i3i30000
χ472-2-22-22222-2-222-2-2-2-220222220-2200-22-22-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-22200000000000000000000002-2-2222-2-200000000000000000000-22000000
χ482-2-22-22222-2-222-2-2-2-220222220-2200-22-22-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-2220000000000000000000000-222-2-2-222000000000000000000002-2000000
χ492-2-22-22-1221122-2-2-2-2-10-1-12-1-101-1−i3i3-22-221111-2-21111-1-12-1-1i3−i3001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i300i3−i3i3−i300i3i3−i3−i32-2-22-1-1110000000000i3−i3000000001-1−i3i30000
χ502-2-22-22-1221122-2-2-2-2-10-1-12-1-101-1−i3i3-22-221111-2-21111-1-12-1-1i3−i3001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i300i3−i3i3−i300i3i3−i3−i3-222-211-1-10000000000−i3i300000000-11i3−i30000
χ512-2-22-22-1221122-2-2-2-2-10-1-12-1-101-1i3−i3-22-221111-2-21111-1-12-1-1−i3i3001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i300−i3i3−i3i300−i3−i3i3i32-2-22-1-1110000000000−i3i3000000001-1i3−i30000
χ522-2-22-22-1221122-2-2-2-2-10-1-12-1-101-1i3−i3-22-221111-2-21111-1-12-1-1−i3i3001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i300−i3i3−i3i300−i3−i3i3i3-222-211-1-10000000000i3−i300000000-11−i3i30000
χ534444444-2-244-2-2-2-2-2-244-2-211144444-2-2-2-2-2-2-2-2111111-2-211144-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2-2-2111111000000000000000000000000000000000000
χ544444444-2-244-2-2-2-2-2-24-4-2-2111-444-4-4-2-2-2-2-2-2-2-2111111-2-2111-4-422-2-2-2-21111112222-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000000000000000000000000000
χ55444444-24-2-2-24-244-2-2-24-21-2114-2-2-2-244-2-2-2-211-2-21111-21-211-2-24-2-2-211-2-21111-2-211-2-211114-2-2-211-2-21111000000000000000000000000000000000000
χ56444444-24-2-2-24-244-2-2-2-4-21-211-4-2-22244-2-2-2-211-2-21111-21-21122-42-2-211-2-2111122-1-122-1-1-1-1-4222-1-122-1-1-1-1000000000000000000000000000000000000
χ57444444-2-24-2-2-24-2-244-241-2-2114-2-2-2-2-2-24411-2-2-2-211111-2-211-2-2-2411-2-2-2-2111111-2-2-2-21111-2411-2-2-2-21111000000000000000000000000000000000000
χ58444444-2-24-2-2-24-2-244-2-41-2-211-4-2-222-2-24411-2-2-2-211111-2-211222-411-2-2-2-21111-1-12222-1-1-1-12-4-1-12222-1-1-1-1000000000000000000000000000000000000
χ59444444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i324-2-2-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ60444444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i324-2-2-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ61444444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-4-2-222-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i322222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000
χ62444444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32-4-2-222-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000
χ634444-4-44-2-244-2-2-2-2-2-244-2-2111-4-4-4442222-2-2-2-2111111-2-2111-4-4-2-22222-1-1-1-1-1-1-2-2-2-2111111222222-1-1-1-1-1-1000000000000000000000000000000000000
χ644444-4-44-2-244-2-2-2-2-2-24-4-2-21114-4-4-4-42222-2-2-2-2111111-2-211144222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2111111000000000000000000000000000000000000
χ654444-4-4-24-2-2-24-244-2-2-24-21-211-422-2-2-4-422-2-211-2-21111-21-211224-222-1-122-1-1-1-1-2-211-2-21111-4222-1-122-1-1-1-1000000000000000000000000000000000000
χ664444-4-4-24-2-2-24-244-2-2-2-4-21-21142222-4-422-2-211-2-21111-21-211-2-2-4222-1-122-1-1-1-122-1-122-1-1-1-14-2-2-211-2-21111000000000000000000000000000000000000
χ674444-4-4-2-24-2-2-24-2-244-241-2-211-422-2-222-4-411-2-2-2-211111-2-21122-24-1-12222-1-1-1-111-2-2-2-211112-4-1-12222-1-1-1-1000000000000000000000000000000000000
χ684444-4-4-2-24-2-2-24-2-244-2-41-2-2114222222-4-411-2-2-2-211111-2-211-2-22-4-1-12222-1-1-1-1-1-12222-1-1-1-1-2411-2-2-2-21111000000000000000000000000000000000000
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χ1014-4-44-444-2-2-4-4-2-2222240-2-21110-44002-22-22222-1-1-1-1-1-1-2-211100002-22-2-11-1-11100003-33-3-33000000-33-333-3000000000000000000000000000000000000
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χ1054-4-44-44-2-2422-2422-4-4-201-2-21102-2−2i32i32-2-44-1-12222-1-1-1-11-2-2112i3−2i300-112-22-2-1-111i3−i3−2i32i300i3i3−i3−i300−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
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χ1094-4-44-44-2-2-222-2-22222-20111−1+3i32−1−3i3202-2−2i32i32-22-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322i3−2i300-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i3200−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000
χ1104-4-44-44-2-2-222-2-22222-20111−1+3i32−1−3i3202-22i3−2i32-22-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32−2i32i300-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i3200i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000
χ11188-8-8008-4-48-844-44-44-80-4-4222000000000-44-442-22-22-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
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χ11488-8-800-4-4-4-4444-44-4440222−1−3i3−1+3i30000000002-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-800-4-4-4-4444-44-4440222−1+3i3−1−3i30000000002-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8008-4-4-88444-44-4-80-4-42220000000004-44-4-22-22-2244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
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χ1208-88-800-4-4-44-4444-44-440222−1+3i3−1−3i3000000000-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000

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