Finite Group Databasebeta

← Group #14427721

Character table — Group #14427721

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111122222222222222444444444444446666888888888888888888810101010121212121212121220202020242424242430303030404040120111122222222222222444444444444446666888888888888888888810101010121212121212121220202020242424242430303030404040120
order122234455666101010101010121215152020202030303030303088884121220202020606060606060606060606060888840404040404040402424242421010101022444121222222644101066610101010101012123030202020203030303030308888412122020202060606060606060606060606088884040404040404040242424242101010102244412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1
χ611111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-11
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ92222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002−1−52−1−52−1+52−1+52000000002222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002−1−52−1−52−1+52−1+5200000000
χ102222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-21+521+521−521−52000000002222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-21+521+521−521−5200000000
χ112222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521+521+521−521−521−521−520000-21+521+521−521−52000000002222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521+521+521−521−521−521−520000-21+521+521−521−5200000000
χ122222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200001+521+521+521+521−521−521−521−5200002−1−52−1−52−1+52−1+52000000002222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200001+521+521+521+521−521−521−521−5200002−1−52−1−52−1+52−1+5200000000
χ132222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002−1+52−1+52−1−52−1−52000000002222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002−1+52−1+52−1−52−1−5200000000
χ142222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-21−521−521+521+52000000002222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-21−521−521+521+5200000000
χ152222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521−521−521+521+521+521+520000-21−521−521+521+52000000002222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521−521−521+521+521+521+520000-21−521−521+521+5200000000
χ162222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200001−521−521−521−521+521+521+521+5200002−1+52−1+52−1−52−1−52000000002222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200001−521−521−521−521+521+521+521+5200002−1+52−1+52−1−52−1−5200000000
χ1722222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-20000000000000000000000000000022-2-2000022222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-20000000000000000000000000000022-2-20000
χ1822222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-200000000000000000000000000000-2-222000022222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-200000000000000000000000000000-2-2220000
χ192222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-10000000002-1-102222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-10000000002-1-10
χ202222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000001111000000000-21102222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000001111000000000-2110
χ212222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-10000-211-2-2-2-2-1-1-1-111111111222200000000-1-1-1-1000000000-21102222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-10000-211-2-2-2-2-1-1-1-111111111222200000000-1-1-1-1000000000-2110
χ222222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-10000-211-2-2-2-2-1-1-1-111111111-2-2-2-20000000011110000000002-1-102222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-10000-211-2-2-2-2-1-1-1-111111111-2-2-2-20000000011110000000002-1-10
χ2322-2-2200222-2-222-2-2-2-20022000022-2-2-2-2−i2−i2i2i2000000000000000000022−2−2−i2−i2i2i2−i2−i2i2i222−2−200000002i−2i000022-2-2200222-2-222-2-2-2-20022000022-2-2-2-2−i2−i2i2i2000000000000000000022−2−2−i2−i2i2i2−i2−i2i2i222−2−200000002i−2i0000
χ2422-2-2200222-2-222-2-2-2-20022000022-2-2-2-2−i2−i2i2i20000000000000000000−2−222−i2−i2i2i2−i2−i2i2i2−2−2220000000−2i2i000022-2-2200222-2-222-2-2-2-20022000022-2-2-2-2−i2−i2i2i20000000000000000000−2−222−i2−i2i2i2−i2−i2i2i2−2−2220000000−2i2i0000
χ2522-2-2200222-2-222-2-2-2-20022000022-2-2-2-2i2i2−i2−i2000000000000000000022−2−2i2i2−i2−i2i2i2−i2−i222−2−20000000−2i2i000022-2-2200222-2-222-2-2-2-20022000022-2-2-2-2i2i2−i2−i2000000000000000000022−2−2i2i2−i2−i2i2i2−i2−i222−2−20000000−2i2i0000
χ2622-2-2200222-2-222-2-2-2-20022000022-2-2-2-2i2i2−i2−i20000000000000000000−2−222i2i2−i2−i2i2i2−i2−i2−2−22200000002i−2i000022-2-2200222-2-222-2-2-2-20022000022-2-2-2-2i2i2−i2−i20000000000000000000−2−222i2i2−i2−i2i2i2−i2−i2−2−22200000002i−2i0000
χ272-22-220022-2-22-2-2-2-22200220000-2-2-2-2222−22−200000000000000000002−22−22−22−22−22−22−22−2000002-20000002-22-220022-2-22-2-2-2-22200220000-2-2-2-2222−22−200000000000000000002−22−22−22−22−22−22−22−2000002-2000000
χ282-22-220022-2-22-2-2-2-22200220000-2-2-2-2222−22−20000000000000000000−22−222−22−22−22−2−22−2200000-220000002-22-220022-2-22-2-2-2-22200220000-2-2-2-2222−22−20000000000000000000−22−222−22−22−22−2−22−2200000-22000000
χ292-22-220022-2-22-2-2-2-22200220000-2-2-2-222−22−2200000000000000000002−22−2−22−22−22−222−22−200000-220000002-22-220022-2-22-2-2-2-22200220000-2-2-2-222−22−2200000000000000000002−22−2−22−22−22−222−22−200000-22000000
χ302-22-220022-2-22-2-2-2-22200220000-2-2-2-222−22−220000000000000000000−22−22−22−22−22−22−22−22000002-20000002-22-220022-2-22-2-2-2-22200220000-2-2-2-222−22−220000000000000000000−22−22−22−22−22−22−22−22000002-2000000
χ312-2-2222-222-22-2-2-222-2-22-22222-2-2-2-222-2-22i−2i−2i2i00000002-22-20000000000002i−2i−2i2i2i−2i−2i2i000000000000000002-2-2222-222-22-2-2-222-2-22-22222-2-2-2-222-2-22i−2i−2i2i00000002-22-20000000000002i−2i−2i2i2i−2i−2i2i00000000000000000
χ322-2-2222-222-22-2-2-222-2-22-22222-2-2-2-222-2-2−2i2i2i−2i00000002-22-2000000000000−2i2i2i−2i−2i2i2i−2i000000000000000002-2-2222-222-22-2-2-222-2-22-22222-2-2-2-222-2-2−2i2i2i−2i00000002-22-2000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000
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χ1644-4-44-2-44−1+5−1−52-221−51+5−1+5−1−51−51+52-21−521+521−51+5−1+5−1−5−1+52−1−521−521+52−1+52−1−5200000−23230000−1+521−52−1−521+52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800000000000000000000000000000-444-424-41−51+5-22-2−1+5−1−51−51+5−1+5−1−5-22−1+52−1−52−1+5−1−51−51+51−521+52−1+52−1−521−521+520000023−2300001−52−1+521+52−1−52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800000000000000000000000000000
χ16588-8-8-400−2−25−2+25-444−2−25−2+252+252−252+252−25001+51−500001+51−5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000-8-8884002+252−254-4-42+252−25−2−25−2+25−2−25−2+2500−1−5−1+50000−1−5−1+51+51−51+51−50000000000000000000000000000000000000000000000000000
χ16688-8-8-400−2+25−2−25-444−2+25−2−252−252+252−252+25001−51+500001−51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000-8-8884002−252+254-4-42−252+25−2+25−2−25−2+25−2−2500−1+5−1−50000−1+5−1−51−51+51−51+50000000000000000000000000000000000000000000000000000
χ1678-88-8-400−2−25−2+2544-42+252−252+252−25−2−25−2+25001+51−50000−1−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000000-88-884002+252−25-4-44−2−25−2+25−2−25−2+252+252−2500−1−5−1+500001+51−51+51−5−1−5−1+50000000000000000000000000000000000000000000000000000
χ1688-88-8-400−2+25−2−2544-42−252+252−252+25−2+25−2−25001−51+50000−1+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000000-88-884002−252+25-4-44−2+25−2−25−2+25−2−252−252+2500−1+5−1−500001−51+51−51+5−1+5−1−50000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.