Finite Group Databasebeta

← Group #14430038

Character table — Group #14430038

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222222244444444444444888888888888888888812121212121212121212121220202020202020202424242430304040601201111222222222222224444444444444488888888888888888881212121212121212121212122020202020202020242424243030404060120
order122234455666101010101010121215152020202030303030303041212202020206060606060606060606060604488404040404040404044882424242420202020441212442222644101066610101010101012123030202020203030303030304121220202020606060606060606060606060448840404040404040404488242424242020202044121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1
χ611111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11
χ711111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11
χ811111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-111-1-11-111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-111-1-11-1
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+52222−1−52−1−52−1+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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000−1−52−1−52−1+52−1+520000002222222−1−52−1+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+52222−1−52−1−52−1+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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000−1−52−1−52−1+52−1+52000000
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+52222−1−52−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−52000000001+521+521−521−520000002222222−1−52−1+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+52222−1−52−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−52000000001+521+521−521−52000000
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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-21+521+521+521+521−521−521−521−5200000000−1−52−1−52−1+52−1+520000002222222−1−52−1+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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-21+521+521+521+521−521−521−521−5200000000−1−52−1−52−1+52−1+52000000
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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000001+521+521−521−520000002222222−1−52−1+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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000001+521+521−521−52000000
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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000−1+52−1+52−1−52−1−520000002222222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000−1+52−1+52−1−52−1−52000000
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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+52000000001−521−521+521+520000002222222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+52000000001−521−521+521+52000000
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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-21−521−521−521−521+521+521+521+5200000000−1+52−1+52−1−52−1−520000002222222−1+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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-21−521−521−521−521+521+521+521+5200000000−1+52−1+52−1−52−1−52000000
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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000001−521−521+521+520000002222222−1+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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000001−521−521+521+52000000
χ1722222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-2000000000000000000000000000000002200-2022222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-2000000000000000000000000000000002200-20
χ1822222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-200000000000000000000000000000000-2-2002022222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-200000000000000000000000000000000-2-20020
χ192222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-1000000-1-1002222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-1000000-1-100
χ202222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2111100000011002222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-211110000001100
χ212222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-11111111100000000000022-2-21111000000-1-1002222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-11111111100000000000022-2-21111000000-1-100
χ222222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-111111111000000000000-2-222-1-1-1-100000011002222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-111111111000000000000-2-222-1-1-1-10000001100
χ2322-2-222-222-2-2222-2-2-2-22-22222-2-2-2-222-2-200000002-22-2000000000000000000002-20000000000002-20022-2-222-222-2-2222-2-2-2-22-22222-2-2-2-222-2-200000002-22-2000000000000000000002-20000000000002-200
χ2422-2-222-222-2-2222-2-2-2-22-22222-2-2-2-222-2-200000002-22-200000000000000000000-22000000000000-220022-2-222-222-2-2222-2-2-2-22-22222-2-2-2-222-2-200000002-22-200000000000000000000-22000000000000-2200
χ2522-2-22-2222-2-2222-2-2-2-2-2222-2-222-2-222-2-20000000-22-22000000002i−2i0000000000000000002i−2i2i−2i00000022-2-22-2222-2-2222-2-2-2-2-2222-2-222-2-222-2-20000000-22-22000000002i−2i0000000000000000002i−2i2i−2i000000
χ2622-2-22-2222-2-2222-2-2-2-2-2222-2-222-2-222-2-20000000-22-2200000000−2i2i000000000000000000−2i2i−2i2i00000022-2-22-2222-2-2222-2-2-2-2-2222-2-222-2-222-2-20000000-22-2200000000−2i2i000000000000000000−2i2i−2i2i000000
χ2722-2-22-22−1−52−1+52-2-22−1−52−1+521+521−521+521−52-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ941+52−1−521−52−1+52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ942i−2i00−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ11600000000−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400000022-2-22-22−1−52−1+52-2-22−1−52−1+521+521−521+521−52-22−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ941+52−1−521−52−1+52−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ942i−2i00−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ11600000000−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.