Finite Group Databasebeta

← Group #11779986

Character table — Group #11779986

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222222222222444444444444444444444444444444444444444444444444444444444444488161616161616161616161616161616161636363636727272727272
order122233334444666666666666488881212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444121212121212121212121212121212124444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111
χ51111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11-1-1-111
χ81111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1111-1-1
χ9222222222-22-2222222222222-2000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000002200-200000
χ10222222222-22-2222222222222-2000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000-2-200200000
χ1122222222-22-22222222222222-20000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000220-20000
χ1222222222-22-22222222222222-20000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000-2-2020000
χ1322222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000002-202222-2-2-2-2000000000000000000
χ1422222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-220-2-2-2-22222000000000000000000
χ1522222-1-1-122222-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-10000000000
χ1622222-1-1-122222-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111-2111-2-21111110000000000
χ1722222-1-1-122222-1-1-122-1-1-1-1-1-12-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111122-22-1-1-12-1-1-1-2-21111110000000000
χ1822222-1-1-122222-1-1-122-1-1-1-1-1-12-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-22-2111-211122-1-1-1-1-1-10000000000
χ1922222-1-1-1-2-2-2-22-1-1-122-1-1-1-1-1-120000-2-2111111-2-211111122-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i32-202-1-1-1-211100−i3−i3−i3i3i3i30000000000
χ2022222-1-1-1-2-2-2-22-1-1-122-1-1-1-1-1-120000-2-2111111-2-211111122-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3-220-21112-1-1-100i3i3i3−i3−i3−i30000000000
χ2122222-1-1-1-2-2-2-22-1-1-122-1-1-1-1-1-120000-2-2111111-2-211111122-1-1-1-1-1-100000000i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i32-202-1-1-1-211100i3i3i3−i3−i3−i30000000000
χ2222222-1-1-1-2-2-2-22-1-1-122-1-1-1-1-1-120000-2-2111111-2-211111122-1-1-1-1-1-100000000i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3-220-21112-1-1-100−i3−i3−i3i3i3i30000000000
χ232222-12-1-12222-12-1-1-1-122-1-1-1-122222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-12-1-1-12-1-1-1-12-1-12-1-10000000000
χ242222-12-1-12222-12-1-1-1-122-1-1-1-122222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-21-2111-21111-211-2110000000000
χ252222-12-1-12222-12-1-1-1-122-1-1-1-12-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-21111111122-2-12-1-1-12-1-111-211-2110000000000
χ262222-12-1-12222-12-1-1-1-122-1-1-1-12-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2-2-2-211111111-2-221-2111-211-1-12-1-12-1-10000000000
χ272222-12-1-1-2-2-2-2-12-1-1-1-122-1-1-1-12000011-2-2111111-2-21111-1-122-1-1-1-1−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i32-20-12-1-11-211−i3i30−i3i30−i3i30000000000
χ282222-12-1-1-2-2-2-2-12-1-1-1-122-1-1-1-12000011-2-2111111-2-21111-1-122-1-1-1-1−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i3-2201-211-12-1-1i3−i30i3−i30i3−i30000000000
χ292222-12-1-1-2-2-2-2-12-1-1-1-122-1-1-1-12000011-2-2111111-2-21111-1-122-1-1-1-1i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i32-20-12-1-11-211i3−i30i3−i30i3−i30000000000
χ302222-12-1-1-2-2-2-2-12-1-1-1-122-1-1-1-12000011-2-2111111-2-21111-1-122-1-1-1-1i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-2201-211-12-1-1−i3i30−i3i30−i3i30000000000
χ312222-1-12-12222-1-12-1-1-1-1-122-1-122222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222-1-12-1-1-12-1-1-1-12-1-1-120000000000
χ322222-1-12-12222-1-12-1-1-1-1-122-1-122222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-211-2111-21111-2111-20000000000
χ332222-1-12-12222-1-12-1-1-1-1-122-1-12-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1111111111111-2-2-2-2111111111111-2-2-2-222-2-1-12-1-1-12-1111-2111-20000000000
χ342222-1-12-12222-1-12-1-1-1-1-122-1-12-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1111111111111-2-2-2-2111111111111-2-2-2-2-2-2211-2111-21-1-1-12-1-1-120000000000
χ352222-1-12-1-2-2-2-2-1-12-1-1-1-1-122-1-1200001111-2-2111111-2-211-1-1-1-122-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i300002-20-1-12-111-21−i3i3i30−i3−i3i300000000000
χ362222-1-12-1-2-2-2-2-1-12-1-1-1-1-122-1-1200001111-2-2111111-2-211-1-1-1-122-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000-22011-21-1-12-1i3−i3−i30i3i3−i300000000000
χ372222-1-12-1-2-2-2-2-1-12-1-1-1-1-122-1-1200001111-2-2111111-2-211-1-1-1-122-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i300002-20-1-12-111-21i3−i3−i30i3i3−i300000000000
χ382222-1-12-1-2-2-2-2-1-12-1-1-1-1-122-1-1200001111-2-2111111-2-211-1-1-1-122-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i30000-22011-21-1-12-1−i3i3i30−i3−i3i300000000000
χ392222-1-1-122222-1-1-12-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1222-1-1-12-1-1-12-1-1-1-12-12-10000000000
χ402222-1-1-122222-1-1-12-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-2-2-2111-2111-21111-21-210000000000
χ412222-1-1-122222-1-1-12-1-1-1-1-1-1222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1221111111111111111-2-2-2-21111-2-2-2-2111122-2-1-1-12-1-1-121111-21-210000000000
χ422222-1-1-122222-1-1-12-1-1-1-1-1-1222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1221111111111111111-2-2-2-21111-2-2-2-21111-2-22111-2111-2-1-1-1-12-12-10000000000
χ432222-1-1-12-2-2-2-2-1-1-12-1-1-1-1-1-12220000111111-2-2111111-2-2-1-1-1-1-1-122−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3i3i30000−i3−i3−i3−i32-20-1-1-12111-2−i3i3−i3i30i30−i30000000000
χ442222-1-1-12-2-2-2-2-1-1-12-1-1-1-1-1-12220000111111-2-2111111-2-2-1-1-1-1-1-122−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3i3i30000−i3−i3−i3−i3-220111-2-1-1-12i3−i3i3−i30−i30i30000000000
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χ462222-1-1-12-2-2-2-2-1-1-12-1-1-1-1-1-12220000111111-2-2111111-2-2-1-1-1-1-1-122i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i30000i3i3i3i3-220111-2-1-1-12−i3i3−i3i30i30−i30000000000
χ4722-2-2222220-202222-2-2-2-2-2-2-2-2022−2−22-22-22-22-2000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−200000000000000000002-200002−200
χ4822-2-2222220-202222-2-2-2-2-2-2-2-2022−2−22-22-22-22-2000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−20000000000000000000-220000−2200
χ4922-2-2222220-202222-2-2-2-2-2-2-2-20−2−2222-22-22-22-20000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−22200000000000000000002-20000−2200
χ5022-2-2222220-202222-2-2-2-2-2-2-2-20−2−2222-22-22-22-20000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000000-2200002−200
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χ6844-4-4-24-2-240-40-24-2-222-4-4222202222−22−22-224-4-22-220000000000000000−2−222−2−2222222−22−22−2−222−2−2222222−22−22−2−222−2−22200000000000000000000000000000
χ6944-4-4-24-2-240-40-24-2-222-4-422220−22−222222-224-4-22-22000000000000000022−2−222−2−2−22−22222222−2−222−2−2−22−22222222−2−222−2−200000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.