Finite Group Databasebeta

← Group #11790536

Character table — Group #11790536

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order12442223344466666688881212121212121212366666666666881212121212121212121212122424242424242424242424242424242424242424242424242424242424242424888888882424242424242424242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-1-11-1-111-11111-1-11111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-111-11-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1011-1-11-1-111-11111-1-11111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-111-11-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i-11-11ii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ1111-1-11-1-111-11111-1-11111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-111-11-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ1211-1-11-1-111-11111-1-11111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-111-11-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii-11-11−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ1311-1-11-1-111-11111-1-111-1-111-1-1-1-111-1-111-1-1-111-1-1-1-11-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ1411-1-11-1-111-11111-1-111-1-111-1-1-1-111-1-111-1-1-111-1-1-1-11-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ1511-1-11-1-111-11111-1-111-1-111-1-1-1-111-1-111-1-1-111-1-1-1-11-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ1611-1-11-1-111-11111-1-111-1-111-1-1-1-111-1-111-1-1-111-1-1-1-11-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i-111-1−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
χ1722222222-122222-1-12-1222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ1822222222-122222-1-12-1222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ1922222222-122222-1-12-1-2-2-2-222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000022-2-200000000-1-1-1-1111100000000
χ2022222222-122222-1-12-1-2-2-2-222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-22-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-222000000001111-1-1-1-100000000
χ212222222-12222-1-122-122222-1-12222-1-1-12-1-12-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ222222222-12222-1-122-122222-1-12222-1-1-12-1-12-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ232222222-12222-1-122-12-2-2-2-2-1-12222-1-1-12-1-12-1-1-1-1-1-1-1-2-2-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-20000-1-1-1-111110000000000000000
χ242222222-12222-1-122-12-2-2-2-2-1-12222-1-1-12-1-12-1-1-1-1-1-1-1-2-2-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-22200001111-1-1-1-10000000000000000
χ2522222-2-2222-2-222-2-22200002222-2-22222-2-2-222-2-2-2-2200-22-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ2622222-2-2222-2-222-2-22200002222-2-22222-2-2-222-2-2-2-2200-22-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ272222-22-222-2-22-2-222220000-2-22222222-22-2-2-2-222-2-22002-22222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-2
χ282222-22-222-2-22-2-222220000-2-22222222-22-2-2-2-222-2-22002-22222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-22-22
χ292222-2-2222-22-2-2-2-2-2222222-2-222-2-2222-2-222-2-2-2-2222-2-2-2-2-2-222-2-2222222-2-222-2-22222-2-2-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ302222-2-2222-22-2-2-2-2-222-2-2-2-2-2-222-2-2222-2-222-2-2-2-222222-2-2-2-222-2-22222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ312222-2-222-1-22-2-2-2112-12222-2-2-1-11122-11-22-11111-1-1-1-2-2-2111-1-1112-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000000000003−33−33−33−300000000
χ322222-2-222-1-22-2-2-2112-12222-2-2-1-11122-11-22-11111-1-1-1-2-2-2111-1-1112-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-111110000000000000000−33−33−33−3300000000
χ332222-2-222-1-22-2-2-2112-1-2-2-2-2-2-2-1-11122-11-22-11111-1-1-122-2111-1-1112-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000000000003−33−3−33−3300000000
χ342222-2-222-1-22-2-2-2112-1-2-2-2-2-2-2-1-11122-11-22-11111-1-1-122-2111-1-1112-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-10000000000000000−33−333−33−300000000
χ352222-2-22-12-22-211-2-2-1222221122-2-2-1-1-1-21-121111-1-1-1-2-21-211-1-111-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-1111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ362222-2-22-12-22-211-2-2-1222221122-2-2-1-1-1-21-121111-1-1-1-2-21-211-1-111-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-1111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ372222-2-22-12-22-211-2-2-12-2-2-2-21122-2-2-1-1-1-21-121111-1-1-1221-211-1-111-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ382222-2-22-12-22-211-2-2-12-2-2-2-21122-2-2-1-1-1-21-121111-1-1-1221-211-1-111-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ3922-2-222222-2-2-22222220000-2-2-2-2-2-2-2-222222222222200-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002-2-220000
χ4022-2-222222-2-2-22222220000-2-2-2-2-2-2-2-222222222222200-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-222-20000
χ4122-2-22-2-22-1-22222112-122-2-2-2-211-1-1-2-2-1-1-2-21-1-11111-12-221-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100002-22-200000000-1-111-1-11100000000
χ4222-2-22-2-22-1-22222112-122-2-2-2-211-1-1-2-2-1-1-2-21-1-11111-12-221-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-22-220000000011-1-111-1-100000000
χ4322-2-22-2-22-1-22222112-1-2-222-2-211-1-1-2-2-1-1-2-21-1-11111-1-2221-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100002-2-2200000000-1-11111-1-100000000
χ4422-2-22-2-22-1-22222112-1-2-222-2-211-1-1-2-2-1-1-2-21-1-11111-1-2221-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-222-20000000011-1-1-1-11100000000
χ4522-2-22-2-2-12-222-1-1-2-2-1222-2-211-2-22211-1211-2-1-11111-12-2-1-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i−2i2i−2i0000−i−iii−i−iii0000000000000000
χ4622-2-22-2-2-12-222-1-1-2-2-1222-2-211-2-22211-1211-2-1-11111-12-2-1-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i2i−2i2i0000ii−i−iii−i−i0000000000000000
χ4722-2-22-2-2-12-222-1-1-2-2-12-2-22211-2-22211-1211-2-1-11111-1-22-1-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12i−2i−2i2i0000−i−iiiii−i−i0000000000000000
χ4822-2-22-2-2-12-222-1-1-2-2-12-2-22211-2-22211-1211-2-1-11111-1-22-1-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1−2i2i2i−2i0000ii−i−i−i−iii0000000000000000
χ4922-2-2-22-22222-2-2-2222222-2-222-2-2-2-2-2-22-22-2-2-2-222-2-22-22-22-2-2-2-222222222-2-222-2-22222-2-2-2-2-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ5022-2-2-22-22222-2-2-22222-2-22222-2-2-2-2-2-22-22-2-2-2-222-2-222-2-22-2-2-2-2222222-2-222-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ5122-2-2-22-22-122-2-2-2-1-12-122-2-2221111-2-2-112-2111-1-111-1-22-2-11111-1-12-1-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-100000000000000003−3−333−3−3300000000
χ5222-2-2-22-22-122-2-2-2-1-12-122-2-2221111-2-2-112-2111-1-111-1-22-2-11111-1-12-1-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-10000000000000000−333−3−333−300000000
χ5322-2-2-22-22-122-2-2-2-1-12-1-2-222221111-2-2-112-2111-1-111-12-2-2-11111-1-12-1-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-1111100000000000000003−3−33−333−300000000
χ5422-2-2-22-22-122-2-2-2-1-12-1-2-222221111-2-2-112-2111-1-111-12-2-2-11111-1-12-1-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-111110000000000000000−333−33−3−3300000000
χ5522-2-2-22-2-1222-21122-1222-2-2-1-1-2-2-2-211-1-2-11-211-1-111-1-22121111-1-1-12-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-1000000003−3−333−3−330000000000000000
χ5622-2-2-22-2-1222-21122-1222-2-2-1-1-2-2-2-211-1-2-11-211-1-111-1-22121111-1-1-12-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-100000000−333−3−333−30000000000000000
χ5722-2-2-22-2-1222-21122-12-2-222-1-1-2-2-2-211-1-2-11-211-1-111-12-2121111-1-1-12-1-111-1-1-2-2221111-1-1-1-1-1-11122-2-2-1-1-1-11111000000003−3−33−333−30000000000000000
χ5822-2-2-22-2-1222-21122-12-2-222-1-1-2-2-2-211-1-2-11-211-1-111-12-2121111-1-1-12-1-111-1-1-2-2221111-1-1-1-1-1-11122-2-2-1-1-1-1111100000000−333−33−3−330000000000000000
χ5922-2-2-2-22222-22-2-2-2-222000022-2-222-2-22-2-222-2-2-2-2222002222-2-222-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ6022-2-2-2-22222-22-2-2-2-222000022-2-222-2-22-2-222-2-2-2-2222002222-2-222-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.