Finite Group Databasebeta

← Group #11788075

Character table — Group #11788075

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444466666666666666666666666666666666666666666666666624242424242424242424242472727272
order1222222233444466666666666666888888881212121212121212242424242424242424242424242424243666666612121212121212121212121224242424242424242424242424242424242424242424242422224444666666668888888812121212121212122424242424242424242424242424242422446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ911-1-11-11-11111-1-111-1-1-1-111-1-1-111-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111-1-1-1-1111-11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i11-1-1ii−i−i1-1i−i
χ1011-1-11-11-11111-1-111-1-1-1-111-1-1-111-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111-1-1-1-1111-11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-111−i−iii-11−ii
χ1111-1-11-11-11111-1-111-1-1-1-111-1-1-111-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111-1-1-1-1111-11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1-1i−i11-1-1ii−i−i-11−ii
χ1211-1-11-11-11111-1-111-1-1-1-111-1-1-111-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111-1-1-1-1111-11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-11−ii-1-111−i−iii1-1i−i
χ1311-1-11-11-11111-1-111-1-1-1-111-1-1-111-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111-1-1-1-1111-11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-111-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii11-1-1−i−iii1-1−ii
χ1411-1-11-11-11111-1-111-1-1-1-111-1-1-111-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111-1-1-1-1111-11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-111-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-111ii−i−i-11i−i
χ1511-1-11-11-11111-1-111-1-1-1-111-1-1-111-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111-1-1-1-1111-11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111-1-111-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1-1−ii11-1-1−i−iii-11i−i
χ1611-1-11-11-11111-1-111-1-1-1-111-1-1-111-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111-1-1-1-1111-11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111-1-111-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-11i−i-1-111ii−i−i1-1−ii
χ172222222222-2-2-2-22222222222222200000000-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-2-2-22222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ182222222222-2-2-2-22222222222222200000000-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-22222-2-2-2-2-2-2-2-2000000002222222200000000000000000000000000000000
χ19222222222-12222222222-1-1-1-1-1-12-122222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ20222222222-12222222222-1-1-1-1-1-12-122222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000-2-2-2-2111111110000
χ21222222222-12222222222-1-1-1-1-1-12-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000000000000000000000000000000000000000000022-2-2-1-1-1-111110000
χ22222222222-12222222222-1-1-1-1-1-12-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000000000000000000000000000-2-2221111-1-1-1-10000
χ2322222222-122222-1-1-1-1-1-1222222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2422222222-122222-1-1-1-1-1-1222222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111111111111111111110000000000000000
χ2522222222-122222-1-1-1-1-1-1222222-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-2-2-2-211111111-2-2-2-21111111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ2622222222-122222-1-1-1-1-1-1222222-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-2111111112222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2722222222-12-2-2-2-2-1-1-1-1-1-1222222-1200000000111111113333−3−3−3−33333−3−3−3−3-1-1-1-1-1-1-1-1-2-2-2111111-21100003333−3−3−3−300003333−3−3−3−32222-2-2-2-2-1-1-1-1-1-1-1-100000000111111113333−3−3−3−33333−3−3−3−30000000000000000
χ2822222222-12-2-2-2-2-1-1-1-1-1-1222222-1200000000111111113333−3−3−3−33333−3−3−3−3-1-1-1-1-1-1-1-1-2-2-2111111-21100003333−3−3−3−300003333−3−3−3−3-2-2-2-222221111111100000000-1-1-1-1-1-1-1-1−3−3−3−33333−3−3−3−333330000000000000000
χ2922222222-12-2-2-2-2-1-1-1-1-1-1222222-120000000011111111−3−3−3−33333−3−3−3−33333-1-1-1-1-1-1-1-1-2-2-2111111-2110000−3−3−3−333330000−3−3−3−333332222-2-2-2-2-1-1-1-1-1-1-1-10000000011111111−3−3−3−33333−3−3−3−333330000000000000000
χ3022222222-12-2-2-2-2-1-1-1-1-1-1222222-120000000011111111−3−3−3−33333−3−3−3−33333-1-1-1-1-1-1-1-1-2-2-2111111-2110000−3−3−3−333330000−3−3−3−33333-2-2-2-222221111111100000000-1-1-1-1-1-1-1-13333−3−3−3−33333−3−3−3−30000000000000000
χ31222-2-22-2-22200002-222-2-22-22-2-2-2-2222−2−222−2−20000000022−2−222−2−222−2−222−2−222-222-2-2-200000000000022−2−222−2−222−2−222−2−222−2−222−2−200002i−2i2i−2i00000000−i2−i2i2i2−i2−i2i2i22i2i−2i−2i2i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ32222-2-22-2-22200002-222-2-22-22-2-2-2-2222−2−222−2−20000000022−2−222−2−222−2−222−2−222-222-2-2-200000000000022−2−222−2−222−2−222−2−222−2−222−2−20000−2i2i−2i2i00000000i2i2−i2−i2i2i2−i2−i2−2i−2i2i2i−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ33222-2-22-2-22200002-222-2-22-22-2-2-2-22−2−222−2−22200000000−2−222−2−222−2−222−2−22222-222-2-2-2000000000000−2−222−2−222−2−222−2−222−2−222−2−22200002i−2i2i−2i00000000i2i2−i2−i2i2i2−i2−i22i2i−2i−2i2i2i−2i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ34222-2-22-2-22200002-222-2-22-22-2-2-2-22−2−222−2−22200000000−2−222−2−222−2−222−2−22222-222-2-2-2000000000000−2−222−2−222−2−222−2−222−2−222−2−2220000−2i2i−2i2i00000000−i2−i2i2i2−i2−i2i2i2−2i−2i2i2i−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ35222-2-22-2-2-120000-11-1-1112-22-2-2-21222−2−222−2−233−3−33−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-1-11-1-111100033−3−33−303−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i3−i2−i2i2i2−i2−i2i2i2−i−iii−i−iiiζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ36222-2-22-2-2-120000-11-1-1112-22-2-2-21222−2−222−2−233−3−33−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-1-11-1-111100033−3−33−303−322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3i2i2−i2−i2i2i2−i2−i2ii−i−iii−i−i−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ37222-2-22-2-2-120000-11-1-1112-22-2-2-21222−2−222−2−2−3−333−33−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-1-11-1-1111000−3−333−330−3322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700002i−2i2i−2ii3i3−i3−i3i3i3−i3−i3−i2−i2i2i2−i2−i2i2i2−i−iii−i−iiiζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ38222-2-22-2-2-120000-11-1-1112-22-2-2-21222−2−222−2−2−3−333−33−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-1-11-1-1111000−3−333−330−3322−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3i2i2−i2−i2i2i2−i2−i2ii−i−iii−i−i−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ39222-2-22-2-2-120000-11-1-1112-22-2-2-212−2−222−2−22233−3−33−33−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-1-11-1-111100033−3−33−303−3−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i3i2i2−i2−i2i2i2−i2−i2−i−iii−i−iii−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.