Finite Group Databasebeta

← Group #14478364

Character table — Group #14478364

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size112222222222222222222222222444444444444444444444444444444444444444444444441212121212121212121212121212121212121212404040404040120120112222222222222222222222222444444444444444444444444444444444444444444444441212121212121212121212121212121212121212404040404040120120
order12234455666881010202020204040404040404040810101212151520202424242430303030303040404040606060606060606012012012012012012012012012012012012012012012012016161616808080808080808080808080808080802266662422264410106668810102020202040404040404040408101012123030202024242424303030303030404040406060606060606060120120120120120120120120120120120120120120120120161616168080808080808080808080808080808022666624
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χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-11-1111-1-111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-11-111-11-1111-1-111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1
χ611-11-1111-1-111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1111-11-1111-1-111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11
χ711-11-1111-1-111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-1111-11-1111-1-111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-1-11
χ811-11-1111-1-111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1111-111-11-1111-1-111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1111-1
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χ13222222−1−52−1+52222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+5222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ9400000000222222−1−52−1+52222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+5222−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ9400000000
χ14222222−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−5222−1+52−1−52−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000222222−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−5222−1+52−1−52−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000
χ15222222−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−5222−1+52−1−52−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000222222−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−5222−1+52−1−52−1+52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000
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χ2024-40-200−1+5−1−52i3−2i3222−221−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ29−2ζ31−2ζ71+2ζ109−2ζ29+2ζ31+2ζ71−2ζ1092ζ61−2ζ79+2ζ101−2ζ119−2ζ61+2ζ79−2ζ101+2ζ119−2ζ23+2ζ37+2ζ77−2ζ1032ζ23−2ζ37−2ζ77+2ζ103−2ζ7+2ζ13−2ζ47+2ζ532ζ7−2ζ13+2ζ47−2ζ53000001−521+5200−22i6−i6−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−1+52−1−520000ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ29+ζ31+ζ71−ζ109ζ29−ζ31−ζ71+ζ109−ζ61+ζ79−ζ101+ζ119ζ61−ζ79+ζ101−ζ119ζ23−ζ37−ζ77+ζ103−ζ23+ζ37+ζ77−ζ103ζ7−ζ13+ζ47−ζ53−ζ7+ζ13−ζ47+ζ53ζ29+ζ31−ζ71−ζ109−ζ29−ζ31+ζ71+ζ109−ζ61+ζ79+ζ101−ζ119ζ61−ζ79−ζ101+ζ119−ζ23−ζ37+ζ77+ζ103ζ23+ζ37−ζ77−ζ103ζ7−ζ13−ζ47+ζ53−ζ7+ζ13+ζ47−ζ530000000000000000000000000000-4402001−51+5−2i32i3-2−2222−1+5−1−52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ29+2ζ31+2ζ71−2ζ1092ζ29−2ζ31−2ζ71+2ζ109−2ζ61+2ζ79−2ζ101+2ζ1192ζ61−2ζ79+2ζ101−2ζ1192ζ23−2ζ37−2ζ77+2ζ103−2ζ23+2ζ37+2ζ77−2ζ1032ζ7−2ζ13+2ζ47−2ζ53−2ζ7+2ζ13−2ζ47+2ζ5300000−1+52−1−52002−2−i6i6ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ921−521+520000−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ29−ζ31−ζ71+ζ109−ζ29+ζ31+ζ71−ζ109ζ61−ζ79+ζ101−ζ119−ζ61+ζ79−ζ101+ζ119−ζ23+ζ37+ζ77−ζ103ζ23−ζ37−ζ77+ζ103−ζ7+ζ13−ζ47+ζ53ζ7−ζ13+ζ47−ζ53−ζ29−ζ31+ζ71+ζ109ζ29+ζ31−ζ71−ζ109ζ61−ζ79−ζ101+ζ119−ζ61+ζ79+ζ101−ζ119ζ23+ζ37−ζ77−ζ103−ζ23−ζ37+ζ77+ζ103−ζ7+ζ13+ζ47−ζ53ζ7−ζ13−ζ47+ζ530000000000000000000000000000
χ2034-40-200−1+5−1−52i3−2i32−22221−51+52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ61+2ζ79−2ζ101+2ζ1192ζ61−2ζ79+2ζ101−2ζ119−2ζ29+2ζ31+2ζ71−2ζ1092ζ29−2ζ31−2ζ71+2ζ1092ζ7−2ζ13+2ζ47−2ζ53−2ζ7+2ζ13−2ζ47+2ζ532ζ23−2ζ37−2ζ77+2ζ103−2ζ23+2ζ37+2ζ77−2ζ103000001−521+52002−2−i6i6−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−1+52−1−520000−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ61−ζ79+ζ101−ζ119−ζ61+ζ79−ζ101+ζ119ζ29−ζ31−ζ71+ζ109−ζ29+ζ31+ζ71−ζ109−ζ7+ζ13−ζ47+ζ53ζ7−ζ13+ζ47−ζ53−ζ23+ζ37+ζ77−ζ103ζ23−ζ37−ζ77+ζ103ζ61−ζ79−ζ101+ζ119−ζ61+ζ79+ζ101−ζ119−ζ29−ζ31+ζ71+ζ109ζ29+ζ31−ζ71−ζ109−ζ7+ζ13+ζ47−ζ53ζ7−ζ13−ζ47+ζ53ζ23+ζ37−ζ77−ζ103−ζ23−ζ37+ζ77+ζ1030000000000000000000000000000-4402001−51+5−2i32i3-222−22−1+5−1−5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ61−2ζ79+2ζ101−2ζ119−2ζ61+2ζ79−2ζ101+2ζ1192ζ29−2ζ31−2ζ71+2ζ109−2ζ29+2ζ31+2ζ71−2ζ109−2ζ7+2ζ13−2ζ47+2ζ532ζ7−2ζ13+2ζ47−2ζ53−2ζ23+2ζ37+2ζ77−2ζ1032ζ23−2ζ37−2ζ77+2ζ10300000−1+52−1−5200−22i6−i6ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ921−521+520000ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ61+ζ79−ζ101+ζ119ζ61−ζ79+ζ101−ζ119−ζ29+ζ31+ζ71−ζ109ζ29−ζ31−ζ71+ζ109ζ7−ζ13+ζ47−ζ53−ζ7+ζ13−ζ47+ζ53ζ23−ζ37−ζ77+ζ103−ζ23+ζ37+ζ77−ζ103−ζ61+ζ79+ζ101−ζ119ζ61−ζ79−ζ101+ζ119ζ29+ζ31−ζ71−ζ109−ζ29−ζ31+ζ71+ζ109ζ7−ζ13−ζ47+ζ53−ζ7+ζ13+ζ47−ζ53−ζ23−ζ37+ζ77+ζ103ζ23+ζ37−ζ77−ζ1030000000000000000000000000000
χ2044-40-200−1+5−1−52i3−2i32−22221−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118−2ζ29+2ζ31+2ζ71−2ζ1092ζ29−2ζ31−2ζ71+2ζ109−2ζ61+2ζ79−2ζ101+2ζ1192ζ61−2ζ79+2ζ101−2ζ1192ζ23−2ζ37−2ζ77+2ζ103−2ζ23+2ζ37+2ζ77−2ζ1032ζ7−2ζ13+2ζ47−2ζ53−2ζ7+2ζ13−2ζ47+2ζ53000001−521+52002−2−i6i6−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−1+52−1−520000ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ29−ζ31−ζ71+ζ109−ζ29+ζ31+ζ71−ζ109ζ61−ζ79+ζ101−ζ119−ζ61+ζ79−ζ101+ζ119−ζ23+ζ37+ζ77−ζ103ζ23−ζ37−ζ77+ζ103−ζ7+ζ13−ζ47+ζ53ζ7−ζ13+ζ47−ζ53−ζ29−ζ31+ζ71+ζ109ζ29+ζ31−ζ71−ζ109ζ61−ζ79−ζ101+ζ119−ζ61+ζ79+ζ101−ζ119ζ23+ζ37−ζ77−ζ103−ζ23−ζ37+ζ77+ζ103−ζ7+ζ13+ζ47−ζ53ζ7−ζ13−ζ47+ζ530000000000000000000000000000-4402001−51+5−2i32i3-222−22−1+5−1−52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182ζ29−2ζ31−2ζ71+2ζ109−2ζ29+2ζ31+2ζ71−2ζ1092ζ61−2ζ79+2ζ101−2ζ119−2ζ61+2ζ79−2ζ101+2ζ119−2ζ23+2ζ37+2ζ77−2ζ1032ζ23−2ζ37−2ζ77+2ζ103−2ζ7+2ζ13−2ζ47+2ζ532ζ7−2ζ13+2ζ47−2ζ5300000−1+52−1−5200−22i6−i6ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ921−521+520000−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ29+ζ31+ζ71−ζ109ζ29−ζ31−ζ71+ζ109−ζ61+ζ79−ζ101+ζ119ζ61−ζ79+ζ101−ζ119ζ23−ζ37−ζ77+ζ103−ζ23+ζ37+ζ77−ζ103ζ7−ζ13+ζ47−ζ53−ζ7+ζ13−ζ47+ζ53ζ29+ζ31−ζ71−ζ109−ζ29−ζ31+ζ71+ζ109−ζ61+ζ79+ζ101−ζ119ζ61−ζ79−ζ101+ζ119−ζ23−ζ37+ζ77+ζ103ζ23+ζ37−ζ77−ζ103ζ7−ζ13−ζ47+ζ53−ζ7+ζ13+ζ47−ζ530000000000000000000000000000

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