Finite Group Databasebeta

← Group #11807569

Character table — Group #11807569

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222244444444444444444444444444446666666666666666666666668888888888888888121212121212121212121212121212121212121212121212121212121818181824242424363636363636
order122222223344446666666666666622344666666666661212121212121212121212124444444444444444121212121212121266666612121212121212121212444444441212121212121212121212121212121212121212444412121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ71111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ101111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ111111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1
χ121111111111-1-1-1-111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111
χ131111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ141111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ151111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ161111111111-1-1-1-111111111111111-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1
χ17111-1-1-1-1111ii−i−i111-1-1-1-111-1-1-1-111-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-11111-1-1-1-11-111-1-1i−iii−i−iii−i−i1-11-1i−ii−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−i1-1i−i1-1i−i1-1
χ18111-1-1-1-1111ii−i−i111-1-1-1-111-1-1-1-111-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii11-1-111-1-11111-1-1-1-11-111-1-1i−iii−i−iii−i−i-11-11−iii−iii−i−iii−i−i−i−iii-1-11111-1-1−i−iii-11−ii-11−ii-11
χ19111-1-1-1-1111ii−i−i111-1-1-1-111-1-1-1-111-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−i−i−iiiii−i−i-1-111-1-111-1-1-1-111111-111-1-1i−iii−i−iii−i−i1-11-1i−i−ii−i−iii−i−iiiii−i−i11-1-1-1-111−i−iii1-1i−i-11−ii-11
χ20111-1-1-1-1111ii−i−i111-1-1-1-111-1-1-1-111-11i−i11-1-1111-1-1-1-1ii−i−iii−i−iii−i−i−i−iii−i−iii-1-111-1-111-1-1-1-111111-111-1-1i−iii−i−iii−i−i-11-11−ii−ii−i−iii−i−iii−i−iii-1-111-1-111ii−i−i-11−ii1-1i−i1-1
χ21111-1-1-1-1111ii−i−i111-1-1-1-111-1-1-1-11-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−iii−i−iii−i−i11-1-1-1-111-1-1-1-11111-11-1-111−iiii−i−i−i−iii1-1-11−ii−iiii−i−i−i−iiiii−i−i11-1-111-1-1−i−iii-11−ii1-1i−i-11
χ22111-1-1-1-1111ii−i−i111-1-1-1-111-1-1-1-11-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-1-1-11111-11-1-111−iiii−i−i−i−iii-111-1i−i−iiii−i−i−i−iii−i−iii-1-11111-1-1ii−i−i1-1i−i-11−ii1-1
χ23111-1-1-1-1111ii−i−i111-1-1-1-111-1-1-1-11-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11111-1-1-1-1-11-1-111−iiii−i−i−i−iii1-1-11−iii−i−i−iiiii−i−iii−i−i11-1-1-1-111ii−i−i-11−ii-11−ii1-1
χ24111-1-1-1-1111ii−i−i111-1-1-1-111-1-1-1-11-111−ii-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iii-1-11111-1-11111-1-1-1-1-11-1-111−iiii−i−i−i−iii-111-1i−ii−i−i−iiiii−i−i−i−iii-1-111-1-111−i−iii1-1i−i1-1i−i-11
χ25111-1-1-1-1111−i−iii111-1-1-1-111-1-1-1-111-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iiiii−i−iii−i−i-1-111-1-111-1-1-1-111111-111-1-1−ii−i−iii−i−iii-11-11i−ii−iii−i−iii−i−iii−i−i-1-111-1-111−i−iii-11i−i1-1−ii1-1
χ26111-1-1-1-1111−i−iii111-1-1-1-111-1-1-1-111-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iiiii−i−i−i−iii-1-111-1-111-1-1-1-111111-111-1-1−ii−i−iii−i−iii1-11-1−iii−iii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i1-1−ii-11i−i-11
χ27111-1-1-1-1111−i−iii111-1-1-1-111-1-1-1-111-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iii−i−iiiii−i−i11-1-111-1-11111-1-1-1-11-111-1-1−ii−i−iii−i−iii-11-11i−i−ii−i−iii−i−iiiii−i−i-1-11111-1-1ii−i−i-11i−i-11i−i-11
χ28111-1-1-1-1111−i−iii111-1-1-1-111-1-1-1-111-11−ii11-1-1111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-11111-1-1-1-11-111-1-1−ii−i−iii−i−iii1-11-1−ii−ii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii1-1−ii1-1−ii1-1
χ29111-1-1-1-1111−i−iii111-1-1-1-111-1-1-1-11-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i-1-11111-1-11111-1-1-1-1-11-1-111i−i−i−iiiii−i−i-111-1−ii−iiii−i−i−i−iiiii−i−i-1-111-1-111ii−i−i1-1−ii1-1−ii-11
χ30111-1-1-1-1111−i−iii111-1-1-1-111-1-1-1-11-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11111-1-1-1-1-11-1-111i−i−i−iiiii−i−i1-1-11i−i−iiii−i−i−i−iii−i−iii11-1-1-1-111−i−iii-11i−i-11i−i1-1
χ31111-1-1-1-1111−i−iii111-1-1-1-111-1-1-1-11-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-1-1-11111-11-1-111i−i−i−iiiii−i−i-111-1−iii−i−i−iiiii−i−iii−i−i-1-11111-1-1−i−iii1-1−ii-11i−i1-1
χ32111-1-1-1-1111−i−iii111-1-1-1-111-1-1-1-11-111i−i-1-111111-1-1-1-1−i−iiiii−i−i−i−iii−i−iii−i−iii11-1-1-1-111-1-1-1-11111-11-1-111i−i−i−iiiii−i−i1-1-11i−ii−i−i−iiiii−i−i−i−iii11-1-111-1-1ii−i−i-11i−i1-1−ii-11
χ33222222222-1222222-1-122-1-1-122-1-1222-1222222-1-1-1-1-1-1-122222222-1-1-1-1000022220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222220000000000-1-1-1-1-1-1-1-100000000-1-1-1-1000000
χ34222222222-1222222-1-122-1-1-122-1-1222-1222222-1-1-1-1-1-1-122222222-1-1-1-10000-2-2-2-20000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000000011111111000000001111000000
χ35222222222-1222222-1-122-1-1-122-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-100002222000000000000000011111111-1-1-1-1111122-2-2-2-20000000000-1-1-1-1-1-1-1-1000000001111000000
χ36222222222-1222222-1-122-1-1-122-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-10000-2-2-2-2000000000000000011111111-1-1-1-11111-2-2222200000000001111111100000000-1-1-1-1000000
χ37222222222-1-2-2-2-222-1-122-1-1-122-1-1222-1-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111000022220000000000000000-1-1-1-1-1-11111111111-2-2-2-2220000000000-1-1-1-111110000000011-1-1000000
χ38222222222-1-2-2-2-222-1-122-1-1-122-1-1222-1-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211110000-2-2-2-20000000000000000-1-1-1-1-1-111111111112222-2-200000000001111-1-1-1-100000000-1-111000000
χ39222222222-1-2-2-2-222-1-122-1-1-122-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222221111000022220000000000000000111111-1-11111-1-1-1-1-2-222-2-20000000000-1-1-1-1111100000000-1-111000000
χ40222222222-1-2-2-2-222-1-122-1-1-122-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222211110000-2-2-2-20000000000000000111111-1-11111-1-1-1-122-2-22200000000001111-1-1-1-10000000011-1-1000000
χ4122222222-122222-1-122-1-1222-1-122-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222000022222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-100000022-1-1-1-1-1-1-1-100000000-1-1-1-100000000000000
χ4222222222-122222-1-122-1-1222-1-122-122-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000-2-2-2-2-2-2-2-21111111122-1-1-1-122-1-1-1-1-1-1-1-1000000-2-21111111100000000111100000000000000
χ4322222222-122222-1-122-1-1222-1-122-1-2-2-1-2-21111-1-1-1-1-1-1-1-1-1-1-111112222222200002222-2-2-2-211111111-2-21111-2-2-1-1-1-11111000000-2-2-1-1-1-1111100000000-1-1-1-100000000000000
χ4422222222-122222-1-122-1-1222-1-122-1-2-2-1-2-21111-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-20000-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111-2-2-1-1-1-11111000000221111-1-1-1-100000000111100000000000000
χ4522222222-12-2-2-2-2-1-122-1-1222-1-122-122-1-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222220000-2-2-2-2-2-2-2-21111111122-1-1-1-1-2-21111111100000022-1-1-1-1-1-1-1-100000000111100000000000000
χ4622222222-12-2-2-2-2-1-122-1-1222-1-122-122-1-2-2-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2000022222222-1-1-1-1-1-1-1-122-1-1-1-1-2-211111111000000-2-21111111100000000-1-1-1-100000000000000
χ4722222222-12-2-2-2-2-1-122-1-1222-1-122-1-2-2-1221111-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-222220000-2-2-2-22222-1-1-1-1-1-1-1-1-2-21111221111-1-1-1-1000000-2-2-1-1-1-1111100000000111100000000000000
χ4822222222-12-2-2-2-2-1-122-1-1222-1-122-1-2-2-1221111-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-2-2-2-2-200002222-2-2-2-211111111-2-21111221111-1-1-1-1000000221111-1-1-1-100000000-1-1-1-100000000000000
χ49222-2-2-2-222-12i2i−2i−2i22-11-2-21-1-1-2-21122-2-12i−2i22-2-2-1-1-111112i2i−2i−2i2i2i−2i−2i−i−iii00002i2i−2i−2i0000000000000000-11-1-111−ii−i−iii−i−iii2-22-22i−2i0000000000−i−iii-1-11100000000-11−ii000000
χ50222-2-2-2-222-12i2i−2i−2i22-11-2-21-1-1-2-21122-2-12i−2i22-2-2-1-1-111112i2i−2i−2i2i2i−2i−2i−i−iii0000−2i−2i2i2i0000000000000000-11-1-111−ii−i−iii−i−iii-22-22−2i2i0000000000ii−i−i11-1-1000000001-1i−i000000
χ51222-2-2-2-222-12i2i−2i−2i22-11-2-21-1-1-2-2112-22-1−2i2i-2-222-1-1-111112i2i−2i−2i−2i−2i2i2i−i−iii00002i2i−2i−2i00000000000000001-111-1-1i−i−i−iiiii−i−i2-2-22−2i2i0000000000−i−iii-1-111000000001-1i−i000000
χ52222-2-2-2-222-12i2i−2i−2i22-11-2-21-1-1-2-2112-22-1−2i2i-2-222-1-1-111112i2i−2i−2i−2i−2i2i2i−i−iii0000−2i−2i2i2i00000000000000001-111-1-1i−i−i−iiiii−i−i-222-22i−2i0000000000ii−i−i11-1-100000000-11−ii000000
χ53222-2-2-2-222-1−2i−2i2i2i22-11-2-21-1-1-2-21122-2-1−2i2i22-2-2-1-1-11111−2i−2i2i2i−2i−2i2i2iii−i−i00002i2i−2i−2i0000000000000000-11-1-111i−iii−i−iii−i−i-22-222i−2i0000000000−i−iii11-1-1000000001-1−ii000000
χ54222-2-2-2-222-1−2i−2i2i2i22-11-2-21-1-1-2-21122-2-1−2i2i22-2-2-1-1-11111−2i−2i2i2i−2i−2i2i2iii−i−i0000−2i−2i2i2i0000000000000000-11-1-111i−iii−i−iii−i−i2-22-2−2i2i0000000000ii−i−i-1-11100000000-11i−i000000
χ55222-2-2-2-222-1−2i−2i2i2i22-11-2-21-1-1-2-2112-22-12i−2i-2-222-1-1-11111−2i−2i2i2i2i2i−2i−2iii−i−i00002i2i−2i−2i00000000000000001-111-1-1−iiii−i−i−i−iii-222-2−2i2i0000000000−i−iii11-1-100000000-11i−i000000
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χ1314-4-4-444-444-20000-4-4-22-44-2224-4-22400-200000022-2-222-200000000000000000000000000000000000000000000000000000000000000000000000023−23−2323000000000000000000
χ1324-4-4-444-444-20000-4-4-22-44-2224-4-22400-200000022-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000−232323−23000000000000000000
χ1334-4-4-444-44-240000224-42-24-4-4-224-4-200-200000022-2-222-20000000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1344-4-4-444-44-240000224-42-24-4-4-224-4-200-200000022-2-222-200000000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ13588-888-8-8-8-4-40000-4444-444-44-44-4-440020000002-2-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-888-8-4-40000-444-44-4-4-444-44440020000002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-8-888-4-4000044-4-4-444444-44-4-4002000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8-888-88-4-4000044-444-4-444-44-44-4002000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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