Finite Group Databasebeta

← Group #13178809

Character table — Group #13178809

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size111122222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444363636363636363636363636727272727272727272727272
order122233366666666622233333666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666222444444444666121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111
χ511111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-11111-1-11-1-11-1-1
χ611111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1111-1-11-1-1-111-111
χ711111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-111-11-1-1111-1-1-111
χ811111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-1-1-11-111-1111-1-1
χ91111111111111111-11-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11-1-11-1111-11-1-11-1-11-1
χ101111111111111111-11-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-11-111-111-1-1-11-11-111-11
χ111111111111111111-11-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-11-11-11-11
χ121111111111111111-11-111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11-11-1-1-111-111-11-11-1
χ131111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-11-1-11-1-11111-1-11-1-11-1-11
χ141111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1111-111-11-1-1-1-1111-111-1
χ151111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-11-111-1-1-1111-1-11-111-1-1-1111-1
χ161111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1111-111-1-1-11-1-1111-111-1-1-11
χ17222222-1222222-1-1-12222-1-1-1-12222-1-12222-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100200000022200-1000000-1-1-1
χ18222222-1222222-1-1-12222-1-1-1-12222-1-12222-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2000000-2-2-2001000000111
χ19222222-1222222-1-1-12-2-22-1-1-1-12222-1-1-2-2-2-211-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111110020000002-2-200-1000000-111
χ20222222-1222222-1-1-12-2-22-1-1-1-12222-1-1-2-2-2-211-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2111111111111111100-2000000-2220010000001-1-1
χ21222222-1222222-1-1-1-22-22-1-1-1-1-2-2-2-2112222-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111002000000-22-200-10000001-11
χ22222222-1222222-1-1-1-22-22-1-1-1-1-2-2-2-2112222-1-1-2-2-2-211222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100-20000002-22001000000-11-1
χ23222222-1222222-1-1-1-2-222-1-1-1-1-2-2-2-211-2-2-2-2112222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002000000-2-2200-100000011-1
χ24222222-1222222-1-1-1-2-222-1-1-1-1-2-2-2-211-2-2-2-2112222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-200000022-2001000000-1-11
χ2522222-12222-1-1-1222222-12-1-1-122-1-12222-1-12222-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10200002220000-10000-1-1-1000
χ2622222-12222-1-1-1222222-12-1-1-122-1-12222-1-12222-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-20000-2-2-2000010000111000
χ2722222-12222-1-1-12222-2-2-12-1-1-122-1-122-2-211-2-2-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-21111111111110200002-2-20000-10000-111000
χ2822222-12222-1-1-12222-2-2-12-1-1-122-1-122-2-211-2-2-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-21111111111110-20000-2220000100001-1-1000
χ2922222-12222-1-1-1222-22-2-12-1-1-1-2-211-2-222-1-122-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111020000-22-20000-100001-11000
χ3022222-12222-1-1-1222-22-2-12-1-1-1-2-211-2-222-1-122-2-211-2-2-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111110-200002-22000010000-11-1000
χ3122222-12222-1-1-1222-2-22-12-1-1-1-2-211-2-2-2-211-2-222-1-122-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1020000-2-220000-1000011-1000
χ3222222-12222-1-1-1222-2-22-12-1-1-1-2-211-2-2-2-211-2-222-1-122-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-2000022-2000010000-1-11000
χ332222-122-1-1-1222222222-1-12-1-1-1-12222-1-12222-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1200222000000-100-1-1-1000000
χ342222-122-1-1-1222222222-1-12-1-1-1-12222-1-12222-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-200-2-2-2000000100111000000
χ352222-122-1-1-12222222-2-2-1-12-1-1-1-1222211-2-2-2-211-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-2111111112002-2-2000000-100-111000000
χ362222-122-1-1-12222222-2-2-1-12-1-1-1-1222211-2-2-2-211-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-200-2220000001001-1-1000000
χ372222-122-1-1-1222222-22-2-1-12-1-111-2-2-2-2-1-1222211-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111200-22-2000000-1001-11000000
χ382222-122-1-1-1222222-22-2-1-12-1-111-2-2-2-2-1-1222211-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111-2002-22000000100-11-1000000
χ392222-122-1-1-1222222-2-22-1-12-1-111-2-2-2-211-2-2-2-2-1-12222-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1200-2-22000000-10011-1000000
χ402222-122-1-1-1222222-2-22-1-12-1-111-2-2-2-211-2-2-2-2-1-12222-1-1-1-1-1-1222-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-20022-2000000100-1-11000000
χ4144444-2-2444-2-2-2-2-2-2444-2-211144-2-2-2-244-2-2-2-244-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-2111111111111-2-2-2-2-2-2-2-2111111111111-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ4244444-2-2444-2-2-2-2-2-24-4-4-2-211144-2-2-2-2-4-42222-4-42222-2-2-2-2-2-2111111111-2-2-2-2-2-2-2-211111111111122222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ4344444-2-2444-2-2-2-2-2-2-44-4-2-2111-4-4222244-2-2-2-2-4-42222-2-2-2-2-2-211111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ4444444-2-2444-2-2-2-2-2-2-4-44-2-2111-4-42222-4-4222244-2-2-2-2-2-2-2-2-2-211111111122222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ454444-24-2-2-2-2444-2-2-2444-21-211-2-244-2-2-2-244-2-2-2-244-2-2-2-2-2111-2-2-2111111-2-2-2-21111-2-2-2-211111111-2-2-2-21111-2-2-2-211111111-2-2-2-21111-2-2-2-211111111000000000000000000000000
χ464444-24-2-2-2-2444-2-2-24-4-4-21-211-2-244-2-222-4-42222-4-422-2-2-2111-2-2-2111111-2-2-2-21111-2-2-2-2111111112222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ474444-24-2-2-2-2444-2-2-2-44-4-21-21122-4-422-2-244-2-222-4-422-2-2-2111-2-2-21111112222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111112222-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ484444-24-2-2-2-2444-2-2-2-4-44-21-21122-4-42222-4-422-2-244-2-2-2-2-2111-2-2-21111112222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111000000000000000000000000
χ494444-2-24-2-2-2-2-2-24444441-2-211-2-2-2-244-2-2-2-244-2-2-2-244111-2-2-2-2-2-21111111111-2-2-2-2-2-2-2-2111111111111-2-2-2-2-2-2-2-2111111111111-2-2-2-2-2-2-2-211111111000000000000000000000000
χ504444-2-24-2-2-2-2-2-24444-4-41-2-211-2-2-2-2442222-4-42222-4-4111-2-2-2-2-2-21111111111-2-2-2-2-2-2-2-211111111-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1000000000000000000000000
χ514444-2-24-2-2-2-2-2-2444-44-41-2-2112222-4-4-2-2-2-2442222-4-4111-2-2-2-2-2-2111111-1-1-1-122222222-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-211111111-1-1-1-122222222-1-1-1-1-1-1-1-1000000000000000000000000
χ524444-2-24-2-2-2-2-2-2444-4-441-2-2112222-4-42222-4-4-2-2-2-244111-2-2-2-2-2-2111111-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-211111111000000000000000000000000
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χ1404-4-44-2-2-222-222-222-2000111−1−3i32−1+3i3200−2i32i30000002i3−2i3−2i32i30000-1-11-1-11-1-111+3i321+3i32−1−3i321−3i321−3i32−1+3i32i3−i3−i3i33-3-33i3−i3−i3i3−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32-333-3−i3i3i3−i3−i3i3i3−i33+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32i3−i3−i3i3i3−i3−i3i33-3-33−3−i323+i323+i32−3−i32−3+i323−i323−i32−3+i32000000000000000000000000
χ1414-4-44-2-2-222-222-222-2000111−1−3i32−1+3i3200−2i32i3000000−2i32i32i3−2i30000-1-11-1-11-1-111+3i321+3i32−1−3i321−3i321−3i32−1+3i32i3−i3−i3i33-3-33i3−i3−i3i3−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i323-3-33i3−i3−i3i3i3−i3−i3i3−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32−i3i3i3−i3−i3i3i3−i3-333-33+i32−3−i32−3−i323+i323−i32−3+i32−3+i323−i32000000000000000000000000

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