Finite Group Databasebeta

← Group #72252263

Character table — Group #72252263

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222224444444444444444444444444444448888888888888888888899991212121212121212121212121212121216161616161616161616161616161616181818181818181818182424242424242424242424242424242424242424242424243636484848484848484872727272
order12222222222222336666662236666666666666666666666666664444666666666666666622222222222244444444121212121212121212121212121212122222222222444444446666666612121212121212122212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ71111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111
χ91111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-1-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i
χ101111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i111111-1-1-1-1−i−iii−i−iii-1-1-1-1-1-1-1-111111111-1-1−i−iii−i−iiiii−i−i
χ111111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111ii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111ii−i−i−i−iii−i−iii
χ121111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-111111111-1-1-1-111−i−iiiii−i−i−i−iii
χ131111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-1-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii
χ141111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii111111-1-1-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-111111111-1-1ii−i−iii−i−i−i−iii
χ151111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111−i−iiiii−i−i1111-1-1-1-1-1-1-1-1111111−i−iiiii−i−iii−i−i
χ161111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-111111111-1-1-1-111ii−i−i−i−iiiii−i−i
χ17111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111111-11-11-11-111-1-111-1-111-1-111-1-1-1-11-11-11-11-11-11-1
χ18111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-11-11-11-11-1-111-1-111-1-111-1-111-1-1-11-11-11-111-11-1
χ19111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-11-1-11-1111-1-1-1-11111-1-1-1-111111-11-1-11-11-11-11
χ20111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-111-11-1-1-11111-1-1-1-11111-1-111-11-111-11-1-11-11
χ21111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1111111111111111-11-11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-11-11-11-1111-1-111-1-111-1-111-1-1-1-1-11-11-11-11-11-11
χ22111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1111111111111111-11-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111111-11-11-11-1-1-111-1-111-1-111-1-111-1-11-11-11-11-1-11-11
χ23111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1111111111111111-11-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-11-111-11-111-1-1-1-11111-1-1-1-11111-11-111-11-11-11-1
χ24111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1111111111111111-11-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-11-1-11-11-1-11111-1-1-1-11111-1-1111-11-1-11-111-11-1
χ25111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii111111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-1i−i−iii−i−ii11-1-111-1-1-1-111-1-11111i−i−iii−i−iii−i−ii
χ26111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii111111-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-1−iii−i−iii−i-1-111-1-11111-1-111-1-111−iii−i−iii−ii−i−ii
χ27111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111111111i−i−ii−iii−i11-1-1-1-111-1-11111-1-1-1-1i−i−ii−iii−i−iii−i
χ28111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111111111−iii−ii−i−ii-1-11111-1-111-1-1-1-111-1-1−iii−ii−i−ii−iii−i
χ29111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1−iii−i111111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-1-1-1−iii−i−iii−i11-1-111-1-1-1-111-1-11111−iii−i−iii−i−iii−i
χ30111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1−iii−i111111-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-1-1-1i−i−iii−i−ii-1-111-1-11111-1-111-1-111i−i−iii−i−ii−iii−i
χ31111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1−iii−i111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111111111−iii−ii−i−ii11-1-1-1-111-1-11111-1-1-1-1−iii−ii−i−iii−i−ii
χ32111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1−iii−i111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111111111i−i−ii−iii−i-1-11111-1-111-1-1-1-111-1-1i−i−ii−iii−ii−i−ii
χ33222222222222222-122-1-12-122-122-1-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222000022222-1-1-12-1-1-12-1-1-12-1-1-10000000000000022220000-1-1-1-10000-1-1-1-1000000-1-1-1-10000
χ34222222222222222-122-1-12-122-122-1-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-100000000000000-2-2-2-2000011110000111100000011110000
χ35222222222222222-122-1-12-122-122-1-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200002222-2111-2111-2111-211100000000000000-2-2-2-20000-1-1-1-10000-1-1-1-100000011110000
χ36222222222222222-122-1-12-122-122-1-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2-2-2-2111-2111-2111-21110000000000000022220000111100001111000000-1-1-1-10000
χ3722222222222222-12-1-122-1222-1-1-122-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222000022220000-12-1-1-12-1-1-12-1-1-12-1-1000000000022220000-1-1-1-10000-1-1-1-1000000-1-1-1-100000000
χ3822222222222222-12-1-122-1222-1-1-122-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-20000-12-1-1-12-1-1-12-1-1-12-1-10000000000-2-2-2-20000111100001111000000111100000000
χ3922222222222222-12-1-122-1222-1-1-122-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200001-2111-2111-2111-2110000000000-2-2-2-20000-1-1-1-10000-1-1-1-1000000111100000000
χ4022222222222222-12-1-122-1222-1-1-122-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200001-2111-2111-2111-211000000000022220000111100001111000000-1-1-1-100000000
χ412222222222-2-2-2-22-122-1-12-1-2-2-122-1-12222-1-1-1-1-1-1-1-2-2111111-2-2112i2i−2i−2i-2-211-1-1-1-1-1-11111110000000022220000-2-2-2-22i−i−i−i2i−i−i−i−2iiii−2iiii000000000000002i2i−2i−2i0000-1-1-1-100001111000000−i−iii0000
χ422222222222-2-2-2-22-122-1-12-1-2-2-122-1-12222-1-1-1-1-1-1-1-2-2111111-2-2112i2i−2i−2i-2-211-1-1-1-1-1-111111100000000-2-2-2-2000022222i−i−i−i2i−i−i−i−2iiii−2iiii00000000000000−2i−2i2i2i000011110000-1-1-1-1000000ii−i−i0000
χ432222222222-2-2-2-22-122-1-12-1-2-2-122-1-12222-1-1-1-1-1-1-1-2-2111111-2-211−2i−2i2i2i-2-211-1-1-1-1-1-11111110000000022220000-2-2-2-2−2iiii−2iiii2i−i−i−i2i−i−i−i00000000000000−2i−2i2i2i0000-1-1-1-100001111000000ii−i−i0000
χ442222222222-2-2-2-22-122-1-12-1-2-2-122-1-12222-1-1-1-1-1-1-1-2-2111111-2-211−2i−2i2i2i-2-211-1-1-1-1-1-111111100000000-2-2-2-200002222−2iiii−2iiii2i−i−i−i2i−i−i−i000000000000002i2i−2i−2i000011110000-1-1-1-1000000−i−iii0000
χ452222222222-2-2-2-2-12-1-122-12-2-2-1-1-122-1-1-1-12222-1-1-111-2-2111111-2-22i2i−2i−2i11-2-2-1-1-1-1-1-1111111000022220000-2-2-2-20000−i2i−i−i−i2i−i−ii−2iiii−2iii00000000002i2i−2i−2i0000-1-1-1-100001111000000−i−iii00000000
χ462222222222-2-2-2-2-12-1-122-12-2-2-1-1-122-1-1-1-12222-1-1-111-2-2111111-2-22i2i−2i−2i11-2-2-1-1-1-1-1-11111110000-2-2-2-2000022220000−i2i−i−i−i2i−i−ii−2iiii−2iii0000000000−2i−2i2i2i000011110000-1-1-1-1000000ii−i−i00000000
χ472222222222-2-2-2-2-12-1-122-12-2-2-1-1-122-1-1-1-12222-1-1-111-2-2111111-2-2−2i−2i2i2i11-2-2-1-1-1-1-1-1111111000022220000-2-2-2-20000i−2iiii−2iii−i2i−i−i−i2i−i−i0000000000−2i−2i2i2i0000-1-1-1-100001111000000ii−i−i00000000
χ482222222222-2-2-2-2-12-1-122-12-2-2-1-1-122-1-1-1-12222-1-1-111-2-2111111-2-2−2i−2i2i2i11-2-2-1-1-1-1-1-11111110000-2-2-2-2000022220000i−2iiii−2iii−i2i−i−i−i2i−i−i00000000002i2i−2i−2i000011110000-1-1-1-1000000−i−iii00000000
χ49222222-2-2-2-222222-122-1-12-1-2-2-122-1-1-2-2-2-21111-1-1-122-1-1-1-1-1-122-1-12-22-2-2-211-1-11111-1-111110000000022-2-2000022-2-22-1-1-1-21112-1-1-1-2111000000000000002-22-20000-1-1110000-1-111000000-11-110000
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χ13788-8-800008-800008-48-8-44-8400-40000008-800-444-44000000000000000000000000-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-800008-80000-48-448-84-800-4000000-44008-84-44000000000000000000000000-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-800008-80000-4-4-44-4444002000000-4400-44-22-200006-66-600000000000000002-2006-600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-800008-80000-4-4-44-4444002000000-4400-44-22-20000-66-6600000000000000002-200-6600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14188-8-80000-8800008-48-8-44-8400-4000000-88004-44-440000000000000000000000004-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14288-8-80000-880000-48-448-84-800-40000004-400-884-440000000000000000000000004-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14388-8-80000-880000-4-4-44-44440020000004-4004-4-22-200006-66-60000000000000000-2200-6600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14488-8-80000-880000-4-4-44-44440020000004-4004-4-22-20000-66-660000000000000000-22006-600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-88-8008-80000008-4-884-4-8400-400008-800-440044-40000000000000000000000-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-88-8008-8000000-484-4-884-800-40000-44008-80044-40000000000000000000000-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-88-8008-8000000-4-44-44-4440020000-4400-4400-2-2200006-6-66000000000000002-20000006-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-88-8008-8000000-4-44-44-4440020000-4400-4400-2-220000-666-6000000000000002-2000000-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-88-800-880000008-4-884-4-8400-40000-88004-40044-400000000000000000000004-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-88-800-88000000-484-4-884-800-400004-400-880044-400000000000000000000004-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1518-88-800-88000000-4-44-44-44400200004-4004-400-2-2200006-6-6600000000000000-22000000-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-88-800-88000000-4-44-44-44400200004-4004-400-2-220000-666-600000000000000-220000006-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1538-8-888-800008-88-8-4-44444-4-4002-44-44000000002-2-2-44-4422-2-2-44-44000000002-200002-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1548-8-888-80000-88-88-4-44444-4-4002-44-44000000002-2-24-44-4-2-2224-44-4000000002-20000-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-88-8800008-8-88-4-44444-4-40024-44-4000000002-2-24-44-4-2-222-44-4400000000-2200002-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-88-880000-888-8-4-44444-4-40024-44-4000000002-2-2-44-4422-2-24-44-400000000-220000-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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