Finite Group Databasebeta

← Group #11782517

Character table — Group #11782517

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444666666666666666666666666666666666666666666666666484848484848144144
order12223344444466666688888888121212121212121212121212242424242424242424242424242424243666121212121212121212121212121212121212242424242424242424242424242424242424242424242424888888888888888824242424242424242424242424242424242424242424242424242424242424242466121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11
χ7111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-111-1-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1111-1
χ922222222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000000000000000000000000000000000
χ11222222-2-222-2-222222200000000-2-2-2-22222-2-2-2-200000000000000002222-2-2222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-200000000
χ12222222-2-222-2-222222200000000-2-2-2-22222-2-2-2-200000000000000002222-2-2222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-222220000000000000000-2-2-2-2-2-2-2-22222222200000000
χ13222222-2-2-2-22222222200000000-2-2-2-2-2-2-2-222220000000000000000222222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000000000002222-2-2-2-20000000022222222-2-2-2-2-2-2-2-2000000000000000000000000
χ14222222-2-2-2-22222222200000000-2-2-2-2-2-2-2-222220000000000000000222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000000000000-2-2-2-2222200000000-2-2-2-2-2-2-2-222222222000000000000000000000000
χ1522222-1222222222-1-1-1222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000022-1-1-1-100
χ1622222-1222222222-1-1-1222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000-2-2111100
χ1722222-1222222222-1-1-1-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111110000000000000000000000000000000000000000000000002-2-1-11100
χ1822222-1222222222-1-1-1-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000000000000000000000000000-2211-1-100
χ1922222-122-2-2-2-2222-1-1-12222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000000000000000000000000000−i3i3−i3i300
χ2022222-122-2-2-2-2222-1-1-12222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000000000000000000000000000i3−i3i3−i300
χ2122222-122-2-2-2-2222-1-1-1-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000−i3i3i3−i300
χ2222222-122-2-2-2-2222-1-1-1-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000i3−i3−i3i300
χ232222-12222222-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ242222-12222222-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111111111111100000000
χ252222-12222222-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-21111111122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000
χ262222-12222222-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ272222-1222-2-2-2-2-1-1-12222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000003333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−300000000
χ282222-1222-2-2-2-2-1-1-12222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−3333300000000
χ292222-1222-2-2-2-2-1-1-1222-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000000000003333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−3333300000000
χ302222-1222-2-2-2-2-1-1-1222-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−300000000
χ312222-12-2-222-2-2-1-1-1222000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3-1-1-1-1-2-222-1-1-1-11111-2-2111100003333−3−3−3−300003333−3−3−3−3000000002222-2-2-2-23333−3−3−3−3−3−3−3−33333-1-1-1-1-1-1-1-11111111100000000
χ322222-12-2-222-2-2-1-1-1222000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3-1-1-1-1-2-222-1-1-1-11111-2-2111100003333−3−3−3−300003333−3−3−3−300000000-2-2-2-22222−3−3−3−333333333−3−3−3−311111111-1-1-1-1-1-1-1-100000000
χ332222-12-2-222-2-2-1-1-1222000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333-1-1-1-1-2-222-1-1-1-11111-2-211110000−3−3−3−333330000−3−3−3−33333000000002222-2-2-2-2−3−3−3−333333333−3−3−3−3-1-1-1-1-1-1-1-11111111100000000
χ342222-12-2-222-2-2-1-1-1222000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333-1-1-1-1-2-222-1-1-1-11111-2-211110000−3−3−3−333330000−3−3−3−3333300000000-2-2-2-222223333−3−3−3−3−3−3−3−3333311111111-1-1-1-1-1-1-1-100000000
χ352222-12-2-2-2-222-1-1-12220000000011111111-1-1-1-13333−3−3−3−3−3−3−3−33333-1-1-1-122-2-21111-1-1-1-1-2-2111100003333−3−3−3−30000−3−3−3−333332222-2-2-2-200000000-1-1-1-1-1-1-1-111111111−3−3−3−333333333−3−3−3−300000000
χ362222-12-2-2-2-222-1-1-12220000000011111111-1-1-1-13333−3−3−3−3−3−3−3−33333-1-1-1-122-2-21111-1-1-1-1-2-2111100003333−3−3−3−30000−3−3−3−33333-2-2-2-222220000000011111111-1-1-1-1-1-1-1-13333−3−3−3−3−3−3−3−3333300000000
χ372222-12-2-2-2-222-1-1-12220000000011111111-1-1-1-1−3−3−3−333333333−3−3−3−3-1-1-1-122-2-21111-1-1-1-1-2-211110000−3−3−3−3333300003333−3−3−3−32222-2-2-2-200000000-1-1-1-1-1-1-1-1111111113333−3−3−3−3−3−3−3−3333300000000
χ382222-12-2-2-2-222-1-1-12220000000011111111-1-1-1-1−3−3−3−333333333−3−3−3−3-1-1-1-122-2-21111-1-1-1-1-2-211110000−3−3−3−3333300003333−3−3−3−3-2-2-2-222220000000011111111-1-1-1-1-1-1-1-1−3−3−3−333333333−3−3−3−300000000
χ3922-2-222002-2002-2-2-2-2222−2−222−2−2000022-2-2000022−2−222−2−222−2−222−2−222-2-2002-222-2-2000000000022−2−222−2−222−2−222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000002i2i−2i−2i2i2i−2i−2i00000000
χ4022-2-222002-2002-2-2-2-2222−2−222−2−2000022-2-2000022−2−222−2−222−2−222−2−222-2-2002-222-2-2000000000022−2−222−2−222−2−222−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000−2i−2i2i2i−2i−2i2i2i00000000
χ4122-2-222002-2002-2-2-2-22−2−222−2−222000022-2-20000−2−222−2−222−2−222−2−22222-2-2002-222-2-20000000000−2−222−2−222−2−222−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000−2i−2i2i2i−2i−2i2i2i00000000
χ4222-2-222002-2002-2-2-2-22−2−222−2−222000022-2-20000−2−222−2−222−2−222−2−22222-2-2002-222-2-20000000000−2−222−2−222−2−222−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000002i2i−2i−2i2i2i−2i−2i00000000
χ4322-2-22200-22002-2-2-2-2222−2−2−2−2220000-2-222000022−2−222−2−2−2−222−2−22222-2-200-22-2-222000000000022−2−222−2−222−2−2−2−222−2−222−2−222−i2−i2i2i2i2i2−i2−i22i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22i2i−2i−2i2i2i−2i−2i0000000000000000
χ4422-2-22200-22002-2-2-2-2222−2−2−2−2220000-2-222000022−2−222−2−2−2−222−2−22222-2-200-22-2-222000000000022−2−222−2−222−2−2−2−222−2−222−2−222i2i2−i2−i2−i2−i2i2i2−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−2i−2i2i2i−2i−2i2i2i0000000000000000
χ4522-2-22200-22002-2-2-2-22−2−22222−2−20000-2-2220000−2−222−2−22222−2−222−2−222-2-200-22-2-2220000000000−2−222−2−222−2−22222−2−222−2−222−2−2−i2−i2i2i2i2i2−i2−i2−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−2i−2i2i2i−2i−2i2i2i0000000000000000
χ4622-2-22200-22002-2-2-2-22−2−22222−2−20000-2-2220000−2−222−2−22222−2−222−2−222-2-200-22-2-2220000000000−2−222−2−222−2−22222−2−222−2−222−2−2i2i2−i2−i2−i2−i2i2i22i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22i2i−2i−2i2i2i−2i−2i0000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.