Finite Group Databasebeta

← Group #11799795

Character table — Group #11799795

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444161616161616161616161616161616161616363636363636363672727272
order1222223333446666666666668888466666666881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242466666666121212121212121216161616161616164444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222222222222222222-2-2-2-2222222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ102222222222-2-22222222222220000-22222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000022−2−222−2−20000
χ112222222222-2-22222222222220000-22222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000−2−222−2−2220000
χ122222222-1-1-1222-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ132222222-1-1-1222-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000000000
χ142222222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-1-1-1-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000
χ152222222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-1-1-1-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000
χ16222222-12-1-122-12-1-1-12-1-1-12-1-122222-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-1000000000000
χ17222222-12-1-122-12-1-1-12-1-1-12-1-122222-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-211-21111-211-211000000000000
χ18222222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-22-1-122-1-1-1-1-2-2-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000
χ19222222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-22-1-122-1-1-1-1-2-2-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000
χ20222222-1-12-122-1-12-1-1-12-1-1-12-122222-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ21222222-1-12-122-1-12-1-1-12-1-1-12-122222-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2111-2111-2111-2111-2000000000000
χ22222222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-22-1-1-1-122-1-1-2-2-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-2111111111111-2-2-2-2111100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000000000
χ23222222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-22-1-1-1-122-1-1-2-2-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-2111111111111-2-2-2-2111100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30000000000000
χ24222222-1-1-1222-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-12-1-1-1-1-12-12-1000000000000
χ25222222-1-1-1222-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111-21-211111-21-21000000000000
χ26222222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-1-1-1-122-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2111111111111-2-2-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3000000000000
χ27222222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-1-1-1-122-2-2-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2111111111111-2-2-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3000000000000
χ282222-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222000000000000000000000000000000
χ292222-2-22222-2-222222222222200002-2-2-2-2-2-2-2-200-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000000022−2−2−2−2220000
χ302222-2-22222-2-222222222222200002-2-2-2-2-2-2-2-200-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000−2−22222−2−20000
χ312222-2-22-1-1-1222-1-1-12-1-1-12-1-1-12222-2-2-2111111-2-22-1-1-1-2-21111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112-222-1-1-1-1-1-1-2-2111111000000000000
χ322222-2-22-1-1-1222-1-1-12-1-1-12-1-1-12222-2-2-2111111-2-22-1-1-1-2-21111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-1000000000000
χ332222-2-22-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-2-2-2-2111111222-1-1-1-2-21111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i3000000000000
χ342222-2-22-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-2-2-2-2111111222-1-1-1-2-21111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i3000000000000
χ352222-2-2-12-1-122-12-1-1-12-1-1-12-1-12222-211-2-21111-2-2-12-1-111-2-21111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112-2-1-12-1-12-1-111-211-211000000000000
χ362222-2-2-12-1-122-12-1-1-12-1-1-12-1-12222-211-2-21111-2-2-12-1-111-2-21111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2211-211-211-1-12-1-12-1-1000000000000
χ372222-2-2-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-2-211-2-2111122-12-1-111-2-21111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i3000000000000
χ382222-2-2-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-2-211-2-2111122-12-1-111-2-21111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i3000000000000
χ392222-2-2-1-12-122-1-12-1-1-12-1-1-12-12222-21111-2-211-2-2-1-12-11111-2-211-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211112-2-1-1-12-1-1-12111-2111-2000000000000
χ402222-2-2-1-12-122-1-12-1-1-12-1-1-12-12222-21111-2-211-2-2-1-12-11111-2-211-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111-22111-2111-2-1-1-12-1-1-12000000000000
χ412222-2-2-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-2-21111-2-21122-1-12-11111-2-211-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i30000000000000
χ422222-2-2-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-2-21111-2-21122-1-12-11111-2-211-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i30000000000000
χ432222-2-2-1-1-1222-1-1-12-1-1-12-1-1-122222-2111111-2-2-2-2-1-1-12111111-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-22-2-1-1-1-12-12-11111-21-21000000000000
χ442222-2-2-1-1-1222-1-1-12-1-1-12-1-1-122222-2111111-2-2-2-2-1-1-12111111-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2-221111-21-21-1-1-1-12-12-1000000000000
χ452222-2-2-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2-2111111-2-222-1-1-12111111-2-2-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i3000000000000
χ462222-2-2-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2-2111111-2-222-1-1-12111111-2-2-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i3000000000000
χ4722-2-2002222-22-2-2-2-22222-2-2-2-222-2-200000000000-2-2-2-200000000222222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000002i−2i
χ4822-2-2002222-22-2-2-2-22222-2-2-2-222-2-200000000000-2-2-2-200000000222222-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000−2i2i
χ4922-2-2002222-22-2-2-2-22222-2-2-2-2-2-22200000000000-2-2-2-2000000002222-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000002i−2i00
χ5022-2-2002222-22-2-2-2-22222-2-2-2-2-2-22200000000000-2-2-2-2000000002222-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000−2i2i00
χ512-22-22-2222200-2-2-2-2-2-2-2-222222−22−202-22-22-22-22−200000000000000002−22−22−22−22−22−22−22−222−2−222−2−222−2−222−2−2000000000000000000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000
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χ532-22-22-2222200-2-2-2-2-2-2-2-22222−22−2202-22-22-22-2−220000000000000000−22−22−22−22−22−22−22−22−2−222−2−222−2−222−2−222000000000000000000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000
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χ844-44-44-44-2-2-200-4222-42224-2-2-222−2222−2204-4-22-22-2222−22000000000000000022−2222−22−22−22−22−22−22−222222−22−22−2−222−2−222−2−222000000000000000000000000000000
χ854-44-44-44-2-2-200-4222-42224-2-2-2−2222−222204-4-22-22-22−22220000000000000000−2222−22222−22−22−22−22−22−2−22−22222222−2−222−2−222−2−2000000000000000000000000000000
χ864-44-44-4-24-2-2002-4222-422-24-2-222−2222−220-224-4-22-2222−220000000000000000−22−2222−2222−22−22−22−22−22−2−2222222−22−22−2−222−2−222000000000000000000000000000000
χ874-44-44-4-24-2-2002-4222-422-24-2-2−2222−22220-224-4-22-22−222200000000000000002−22−2−2222−22222−22−22−22−222−2−2−22−22222222−2−222−2−2000000000000000000000000000000
χ884-44-44-4-2-24-20022-4222-42-2-24-222−2222−220-22-224-4-2222−220000000000000000−22−22−22−2222−2222−22−22−22−2−222−2−2222222−22−22−2−222000000000000000000000000000000
χ894-44-44-4-2-24-20022-4222-42-2-24-2−2222−22220-22-224-4-22−222200000000000000002−22−22−22−2−2222−22222−22−222−2−222−2−2−22−22222222−2−2000000000000000000000000000000
χ904-44-44-4-2-2-2400222-4222-4-2-2-2422−2222−220-22-22-224-422−220000000000000000−22−22−22−22−22−2222−2222−22−2−222−2−222−2−2222222−22−22000000000000000000000000000000
χ914-44-44-4-2-2-2400222-4222-4-2-2-24−2222−22220-22-22-224-4−222200000000000000002−22−22−22−22−22−2−2222−222222−2−222−2−222−2−2−22−222222000000000000000000000000000000
χ924-44-4-444-2-2-200-4222-42224-2-2-222−2222−220-442-22-22-2−2222000000000000000022−2222−22−22−22−22−22−22−22−22−22222222−2−222−2−222−2−2000000000000000000000000000000
χ934-44-4-444-2-2-200-4222-42224-2-2-2−2222−22220-442-22-22-222−220000000000000000−2222−22222−22−22−22−22−22−22222−22−22−2−222−2−222−2−222000000000000000000000000000000
χ944-44-4-44-24-2-2002-4222-422-24-2-222−2222−2202-2-442-22-2−22220000000000000000−22−2222−2222−22−22−22−22−2222−2−2−22−22222222−2−222−2−2000000000000000000000000000000
χ954-44-4-44-24-2-2002-4222-422-24-2-2−2222−222202-2-442-22-222−2200000000000000002−22−2−2222−22222−22−22−22−2−2−2222222−22−22−2−222−2−222000000000000000000000000000000
χ964-44-4-44-2-24-20022-4222-42-2-24-222−2222−2202-22-2-442-2−22220000000000000000−22−22−22−2222−2222−22−22−2222−2−222−2−2−22−22222222−2−2000000000000000000000000000000
χ974-44-4-44-2-24-20022-4222-42-2-24-2−2222−222202-22-2-442-222−2200000000000000002−22−22−22−2−2222−22222−22−2−2−222−2−2222222−22−22−2−222000000000000000000000000000000
χ984-44-4-44-2-2-2400222-4222-4-2-2-2422−2222−2202-22-22-2-44−22220000000000000000−22−22−22−22−22−2222−2222−2222−2−222−2−222−2−2−22−222222000000000000000000000000000000
χ994-44-4-44-2-2-2400222-4222-4-2-2-24−2222−222202-22-22-2-4422−2200000000000000002−22−22−22−22−22−2−2222−2222−2−222−2−222−2−2222222−22−22000000000000000000000000000000
χ1004-4-44004444004444-4-4-4-4-4-4-4-422−22−222200000000000000000000000000022−22−222222−22−222222−22−222222−22−22220000000000000000000000000000000000000000000000
χ1014-4-44004444004444-4-4-4-4-4-4-4-4−222222−22000000000000000000000000000−222222−22−222222−22−222222−22−222222−220000000000000000000000000000000000000000000000
χ1024-4-44004-2-2-2004-2-2-2-4222-422222−22−22220000000000000000023−2323−2323−23000022−22−2222−222−2−222−2−222−200006−6−666−6−666−6−66000000000000000000000000000000
χ1034-4-44004-2-2-2004-2-2-2-4222-422222−22−222200000000000000000−2323−2323−2323000022−22−2222−222−2−222−2−222−20000−666−6−666−6−666−6000000000000000000000000000000
χ1044-4-44004-2-2-2004-2-2-2-4222-4222−222222−220000000000000000023−2323−2323−230000−222222−222−2−222−2−222−2−220000−666−6−666−6−666−6000000000000000000000000000000
χ1054-4-44004-2-2-2004-2-2-2-4222-4222−222222−2200000000000000000−2323−2323−23230000−222222−222−2−222−2−222−2−2200006−6−666−6−666−6−66000000000000000000000000000000
χ1064-4-4400-24-2-200-24-2-22-4222-42222−22−222200000000000000023−230023−23−23230000−222−222−22−2222−222−2−222−26−6−6600006−6−66−666−6000000000000000000000000000000
χ1074-4-4400-24-2-200-24-2-22-4222-42222−22−2222000000000000000−232300−232323−230000−222−222−22−2222−222−2−222−2−666−60000−666−66−6−66000000000000000000000000000000
χ1084-4-4400-24-2-200-24-2-22-4222-422−222222−2200000000000000023−230023−23−232300002−2−22−222222−222−2−222−2−22−666−60000−666−66−6−66000000000000000000000000000000
χ1094-4-4400-24-2-200-24-2-22-4222-422−222222−22000000000000000−232300−232323−2300002−2−22−222222−222−2−222−2−226−6−6600006−6−66−666−6000000000000000000000000000000
χ1104-4-4400-2-24-200-2-24-222-4222-4222−22−222200000000000000023−23−23230023−230000−222−2−222−222−22−2222−222−26−6−66−666−600006−6−66000000000000000000000000000000
χ1114-4-4400-2-24-200-2-24-222-4222-4222−22−2222000000000000000−232323−2300−23230000−222−2−222−222−22−2222−222−2−666−66−6−660000−666−6000000000000000000000000000000
χ1124-4-4400-2-24-200-2-24-222-4222-42−222222−2200000000000000023−23−23230023−2300002−2−222−2−22−222222−222−2−22−666−66−6−660000−666−6000000000000000000000000000000
χ1134-4-4400-2-24-200-2-24-222-4222-42−222222−22000000000000000−232323−2300−232300002−2−222−2−22−222222−222−2−226−6−66−666−600006−6−66000000000000000000000000000000
χ1144-4-4400-2-2-2400-2-2-24222-4222-422−22−222200000000000000023−2323−23−2323000000−222−2−222−2−222−222−22−22226−6−666−6−66−666−60000000000000000000000000000000000
χ1154-4-4400-2-2-2400-2-2-24222-4222-422−22−2222000000000000000−2323−232323−23000000−222−2−222−2−222−222−22−2222−666−6−666−66−6−660000000000000000000000000000000000
χ1164-4-4400-2-2-2400-2-2-24222-4222-4−222222−2200000000000000023−2323−23−23230000002−2−222−2−222−2−22−222222−22−666−6−666−66−6−660000000000000000000000000000000000
χ1174-4-4400-2-2-2400-2-2-24222-4222-4−222222−22000000000000000−2323−232323−230000002−2−222−2−222−2−22−222222−226−6−666−6−66−666−60000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.