Finite Group Databasebeta

← Group #13156858

Character table — Group #13156858

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444488888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order12222222333666666666666666666666333666666666666666666666366666662244446666666666666666121212121212121212121212121212121212121212121212121212121212121244444444444412121212121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1
χ9111-1-11-1-111111-1-1-1111111-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11-1i−ii−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-11-1
χ10111-1-11-1-111111-1-1-1111111-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11-1i−i−ii1111-1-1-1-11111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-111ii−i−i−i−iii-1-111-11
χ11111-1-11-1-111111-1-1-1111111-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11-1−iii−i1111-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-111−i−iiiii−i−i-1-111-11
χ12111-1-11-1-111111-1-1-1111111-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11-1−ii−ii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-1−i−iii−i−iii11-1-11-1
χ13111-1-11-1-111111-1-1-1111111-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11i−ii−i-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1-11
χ14111-1-11-1-111111-1-1-1111111-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11i−i−ii-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-111−i−iiiii−i−i-1-1111-1
χ15111-1-11-1-111111-1-1-1111111-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11−iii−i-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-111ii−i−i−i−iii-1-1111-1
χ16111-1-11-1-111111-1-1-1111111-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11−ii−ii-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1-11
χ172222222222-122222222-1-1-122-1-12-1222-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-122002222-1-122-1-1-1-1-1-1-1-1-1-10000-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000222200000000-1-1-1-1000000
χ182222222222-122222222-1-1-122-1-12-1222-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-12200-2-222-1-122-1-1-1-1-1-1-1-1-1-1000011110000-2-2-2-200000000111111110000-2-2-2-2000000001111000000
χ192222222222-122222222-1-1-122-1-12-1222-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-2-20022-2-211-2-211111111110000-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000-2-2-2-2000000001111000000
χ202222222222-122222222-1-1-122-1-12-1222-12-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-2-200-2-2-2-211-2-21111111111000011110000-2-2-2-200000000111111110000222200000000-1-1-1-1000000
χ21222222222-1222222-1-1-1222-1-122-1222-12-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1222200-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000222200000000-1-1-1-10000000000
χ22222222222-1222222-1-1-1222-1-122-1222-12-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-122-2-200-1-122-1-122-1-1-1-1-1-1-1-111110000-2-2-2-200001111111100000000-2-2-2-20000000011110000000000
χ23222222222-1222222-1-1-1222-1-122-1222-12-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2220011-2-211-2-211111111-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000-2-2-2-20000000011110000000000
χ24222222222-1222222-1-1-1222-1-122-1222-12-12-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-20011-2-211-2-21111111111110000-2-2-2-200001111111100000000222200000000-1-1-1-10000000000
χ2522222222-122-1-1-1-1-1222222222222-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1002222000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-100
χ2622222222-122-1-1-1-1-1222222222222-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-10022-2-200000000000000002222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000-2-2-2-200000000111100
χ2722222222-122-1-1-1-1-1222222222222-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-100-2-2220000000000000000-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-100000000-2-2-2-200000000111100
χ2822222222-122-1-1-1-1-1222222222222-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000000000-2-2-2-2-2-2-2-211111111111111111111111100000000222200000000-1-1-1-100
χ29222-2-22-2-222-122-2-2-2222-1-1-1-2-211-21-22-212-1-1222-1-1-1-2-2-2111-1-1-11111-21-1-1-1-111112-2002i−2i22-1-1-2-211-1-1-1-111110000−i−iii00002i2i−2i−2i00000000−i−i−i−iiiii00002i2i−2i−2i00000000−i−iii000000
χ30222-2-22-2-222-122-2-2-2222-1-1-1-2-211-21-22-212-1-1222-1-1-1-2-2-2111-1-1-11111-21-1-1-1-111112-200−2i2i22-1-1-2-211-1-1-1-111110000ii−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i0000−2i−2i2i2i00000000ii−i−i000000
χ31222-2-22-2-222-122-2-2-2222-1-1-1-2-211-21-22-212-1-1222-1-1-1-2-2-2111-1-1-11111-21-1-1-1-11111-22002i−2i-2-21122-1-11111-1-1-1-10000−i−iii00002i2i−2i−2i00000000−i−i−i−iiiii0000−2i−2i2i2i00000000ii−i−i000000
χ32222-2-22-2-222-122-2-2-2222-1-1-1-2-211-21-22-212-1-1222-1-1-1-2-2-2111-1-1-11111-21-1-1-1-11111-2200−2i2i-2-21122-1-11111-1-1-1-10000ii−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i00002i2i−2i−2i00000000−i−iii000000
χ33222-2-22-2-22-1222-2-2-2-1-1-122211-2-21-2-221-2-12-1-1-1-1222111-2-2-2-1-1-111111-2-1-1-1-111112-22i−2i00-1-12211-2-2-1-1-1-11111−i−iii00002i2i−2i−2i0000−i−i−i−iiiii000000002i2i−2i−2i00000000−i−iii0000000000
χ34222-2-22-2-22-1222-2-2-2-1-1-122211-2-21-2-221-2-12-1-1-1-1222111-2-2-2-1-1-111111-2-1-1-1-111112-2−2i2i00-1-12211-2-2-1-1-1-11111ii−i−i0000−2i−2i2i2i0000iiii−i−i−i−i00000000−2i−2i2i2i00000000ii−i−i0000000000
χ35222-2-22-2-22-1222-2-2-2-1-1-122211-2-21-2-221-2-12-1-1-1-1222111-2-2-2-1-1-111111-2-1-1-1-11111-222i−2i0011-2-2-1-1221111-1-1-1-1−i−iii00002i2i−2i−2i0000−i−i−i−iiiii00000000−2i−2i2i2i00000000ii−i−i0000000000
χ36222-2-22-2-22-1222-2-2-2-1-1-122211-2-21-2-221-2-12-1-1-1-1222111-2-2-2-1-1-111111-2-1-1-1-11111-22−2i2i0011-2-2-1-1221111-1-1-1-1ii−i−i0000−2i−2i2i2i0000iiii−i−i−i−i000000002i2i−2i−2i00000000−i−iii0000000000
χ37222-2-22-2-2-122-1-1111222222-2-2-2-2-2-21-1-2-2-1-12-1-1-1-1-1-1111111222-2-2-2-211-1-1-1-11111002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii0000000022-2-200000000-1-11100
χ38222-2-22-2-2-122-1-1111222222-2-2-2-2-2-21-1-2-2-1-12-1-1-1-1-1-1111111222-2-2-2-211-1-1-1-11111002i−2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i00000000-2-2220000000011-1-100
χ39222-2-22-2-2-122-1-1111222222-2-2-2-2-2-21-1-2-2-1-12-1-1-1-1-1-1111111222-2-2-2-211-1-1-1-1111100−2i2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii00000000-2-2220000000011-1-100
χ40222-2-22-2-2-122-1-1111222222-2-2-2-2-2-21-1-2-2-1-12-1-1-1-1-1-1111111222-2-2-2-211-1-1-1-1111100−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i0000000022-2-200000000-1-11100
χ4122-22-2-22-22222-222-22-2-22-2-2222-2-2-2-2-2-222222-2-22-2-222-222-22-2-222-2-2-2-222-2-222-2-20000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i0000000000
χ4222-22-2-22-22222-222-22-2-22-2-2222-2-2-2-2-2-222222-2-22-2-222-222-22-2-222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i0000000000
χ4322-22-2-22-22-122-222-2-1112-2-2-1-12-21-2-2-212-12-1-1112-2-2-1-1122-2-111-1-1111-2-1-111-1-111000000−i3i300−i3i300−i3−i3i3i3−i3−i3i3i33−33−300000000000033−3−333−3−3000000002i−2i2i−2i00000000−ii−ii0000000000
χ4422-22-2-22-22-122-222-2-1112-2-2-1-12-21-2-2-212-12-1-1112-2-2-1-1122-2-111-1-1111-2-1-111-1-111000000−i3i300−i3i300−i3−i3i3i3−i3−i3i3i3−33−33000000000000−3−333−3−33300000000−2i2i−2i2i00000000i−ii−i0000000000
χ4522-22-2-22-22-122-222-2-1112-2-2-1-12-21-2-2-212-12-1-1112-2-2-1-1122-2-111-1-1111-2-1-111-1-111000000i3−i300i3−i300i3i3−i3−i3i3i3−i3−i33−33−300000000000033−3−333−3−300000000−2i2i−2i2i00000000i−ii−i0000000000
χ4622-22-2-22-22-122-222-2-1112-2-2-1-12-21-2-2-212-12-1-1112-2-2-1-1122-2-111-1-1111-2-1-111-1-111000000i3−i300i3−i300i3i3−i3−i3i3i3−i3−i3−33−33000000000000−3−333−3−333000000002i−2i2i−2i00000000−ii−ii0000000000
χ4722-2-22-2-222222-2-2-222-2-22-2-2-2-2-22222-22-22222-2-22-2-2-2-22-2-222-2-2-2-2222222-2-2-2-2220000000000000000000000000000000000000000000000000000002-2-22000000002-2-220000000000
χ4822-2-22-2-222222-2-2-222-2-22-2-2-2-2-22222-22-22222-2-22-2-2-2-22-2-222-2-2-2-2222222-2-2-2-222000000000000000000000000000000000000000000000000000000-222-200000000-222-20000000000
χ4922-2-22-2-222-122-2-2-22-1112-2-211-22-122-2-1-2-12-1-1112-2-211-1-2-22-11111-1-1-12-1-11111-1-1000000−i3i300i3−i300−i3−i3i3i3i3i3−i3−i3−i3i3i3−i3000000000000−i3−i3i3i3i3i3−i3−i3000000002-2-2200000000-111-10000000000
χ5022-2-22-2-222-122-2-2-22-1112-2-211-22-122-2-1-2-12-1-1112-2-211-1-2-22-11111-1-1-12-1-11111-1-1000000−i3i300i3−i300−i3−i3i3i3i3i3−i3−i3i3−i3−i3i3000000000000i3i3−i3−i3−i3−i3i3i300000000-222-2000000001-1-110000000000
χ5122-2-22-2-222-122-2-2-22-1112-2-211-22-122-2-1-2-12-1-1112-2-211-1-2-22-11111-1-1-12-1-11111-1-1000000i3−i300−i3i300i3i3−i3−i3−i3−i3i3i3−i3i3i3−i3000000000000−i3−i3i3i3i3i3−i3−i300000000-222-2000000001-1-110000000000
χ5222-2-22-2-222-122-2-2-22-1112-2-211-22-122-2-1-2-12-1-1112-2-211-1-2-22-11111-1-1-12-1-11111-1-1000000i3−i300−i3i300i3i3−i3−i3−i3−i3i3i3i3−i3−i3i3000000000000i3i3−i3−i3−i3−i3i3i3000000002-2-2200000000-111-10000000000
χ532-222-2-2-22222-222-22-22-2-22-22-222-2-2-2-22-2222-22-2-22-22-222-22-22-22-22-2-2-22-22-22-22-200000000000000000000000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i000000
χ542-222-2-2-22222-222-22-22-2-22-22-222-2-2-2-22-2222-22-2-22-22-222-22-22-22-22-2-2-22-22-22-22-20000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i000000
χ552-222-2-2-2222-1-222-22-22-21-112-2-1-1-21-2-2212-1-1-22-21-112-22-11-11-11-11-11-21-11-11-11-1100000000−i3i300−i3i3−i3i3−i3i3−i3i3−i3i300003−33−3000000000000000033−3−333−3−300002i−2i2i−2i00000000−ii−ii000000
χ562-222-2-2-2222-1-222-22-22-21-112-2-1-1-21-2-2212-1-1-22-21-112-22-11-11-11-11-11-21-11-11-11-1100000000−i3i300−i3i3−i3i3−i3i3−i3i3−i3i30000−33−330000000000000000−3−333−3−3330000−2i2i−2i2i00000000i−ii−i000000
χ572-222-2-2-2222-1-222-22-22-21-112-2-1-1-21-2-2212-1-1-22-21-112-22-11-11-11-11-11-21-11-11-11-1100000000i3−i300i3−i3i3−i3i3−i3i3−i3i3−i300003−33−3000000000000000033−3−333−3−30000−2i2i−2i2i00000000i−ii−i000000
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χ13988-88-8-88-8-4-4-4-44-4-44-444-444-4-4-4444444-42222-2-22-2-222-222-22-2-222-2-2-2-2-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-88-8-88-4-4-4-4444-4-444-444444-4-4-4-44-442222-2-22-2-2-2-22-2-222-2-2-2-22222-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-8-8-88-4-4-44-4-44-44-444-44-44-4-44444-44222-22-2-22-22-222-22-22-22-22-2-2-2-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-88-88-8-4-4-44-44-444-444-444-444-4-4-444-4222-22-2-22-2-22-2-22-2-22-2-22-2222-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-8888-8-8-4-4-444-44444-444-4-44-44-4-4-4-444222-2-22-2-222-2-22-2-2-2-222-2-2222-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8-8888-4-4-4444-4-444-444-44-44-4444-4-4-4222-2-22-2-22-222-222-2-22-222-2-2-2-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000000000000000

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