Finite Group Databasebeta

← Group #13087655

Character table — Group #13087655

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
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order123345566101020202020361212121215151515151515153030303030303030606060606060606060606060606060608840404040404040402266662266410106610102020202066121212123030303030303030303030303030303060606060606060606060606060606060884040404040404040226666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111
χ522222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000
χ622222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+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+52-2-21+521+521+521+521−521−521−521−5200000022222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+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+52-2-21+521+521+521+521−521−521−521−52000000
χ722222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000
χ822222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+5200000022222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52000000
χ92222-2222222-2-2-2-222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2222222-2-2-2-222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000
χ102222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200−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−ζ940000002222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200−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−ζ94000000
χ112222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200ζ22−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+ζ940000002222-2−1−52−1+5222−1−52−1+521+521+521−521−5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200ζ22−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+ζ94000000
χ122222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ1180000002222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118000000
χ132222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ1180000002222-2−1+52−1−5222−1+52−1−521−521−521+521+5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118000000
χ14222-12222-1222222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000200-1-1222-12222-1222222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000200-1-1
χ15222-12222-1222222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000-20011222-12222-1222222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000-20011
χ16222-1-2222-122-2-2-2-2-1-1-21112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000000000−i3i3222-1-2222-122-2-2-2-2-1-1-21112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000000000−i3i3
χ17222-1-2222-122-2-2-2-2-1-1-21112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000000000i3−i3222-1-2222-122-2-2-2-2-1-1-21112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000000000i3−i3
χ1822-12222-12222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000020-1-10022-12222-12222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000020-1-100
χ1922-12222-12222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000-20110022-12222-12222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000-201100
χ2022-12-222-1222-2-2-2-2-1-11-211-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000000−i3i30022-12-222-1222-2-2-2-2-1-11-211-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000000−i3i300
χ2122-12-222-1222-2-2-2-2-1-11-211-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000000i3−i30022-12-222-1222-2-2-2-2-1-11-211-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000000i3−i300
χ222-222022-2-2-2-200002-2000022222222-2-2-2-2-2-2-2-200000000000000002−22−22−22−22−20000002-222022-2-2-2-200002-2000022222222-2-2-2-2-2-2-2-200000000000000002−22−22−22−22−2000000
χ232-222022-2-2-2-200002-2000022222222-2-2-2-2-2-2-2-20000000000000000−22−22−22−22−220000002-222022-2-2-2-200002-2000022222222-2-2-2-2-2-2-2-20000000000000000−22−22−22−22−22000000
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χ1364-4-2-20−1+5−1−5221−51+52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1181-100−3i3i1−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ942ζ14+ζ46+ζ86+2ζ94−ζ14−2ζ46−2ζ86−ζ94−2ζ14−ζ46−ζ86−2ζ94ζ14+2ζ46+2ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22−2ζ38−ζ62−2ζ1182ζ22+ζ38+2ζ62+ζ118ζ22+2ζ38+ζ62+2ζ118−2ζ22−ζ38−2ζ62−ζ1180000000000000000-442201−51+5-2-2−1+5−1−5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ118-11003i−3i−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−2ζ14−ζ46−ζ86−2ζ94ζ14+2ζ46+2ζ86+ζ942ζ14+ζ46+ζ86+2ζ94−ζ14−2ζ46−2ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22+2ζ38+ζ62+2ζ118−2ζ22−ζ38−2ζ62−ζ118−ζ22−2ζ38−ζ62−2ζ1182ζ22+ζ38+2ζ62+ζ1180000000000000000
χ1374-4-2-20−1+5−1−5221−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1181-1003i−3i1−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−2ζ14−ζ46−ζ86−2ζ94ζ14+2ζ46+2ζ86+ζ942ζ14+ζ46+ζ86+2ζ94−ζ14−2ζ46−2ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22+2ζ38+ζ62+2ζ118−2ζ22−ζ38−2ζ62−ζ118−ζ22−2ζ38−ζ62−2ζ1182ζ22+ζ38+2ζ62+ζ1180000000000000000-442201−51+5-2-2−1+5−1−52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118-1100−3i3i−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ92−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ942ζ14+ζ46+ζ86+2ζ94−ζ14−2ζ46−2ζ86−ζ94−2ζ14−ζ46−ζ86−2ζ94ζ14+2ζ46+2ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22−2ζ38−ζ62−2ζ1182ζ22+ζ38+2ζ62+ζ118ζ22+2ζ38+ζ62+2ζ118−2ζ22−ζ38−2ζ62−ζ1180000000000000000
χ1384-4-2-20−1+5−1−5221−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1181-100−3i3i1−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ92−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116−1−52−1−52ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ92ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14+2ζ46+2ζ86+ζ94−2ζ14−ζ46−ζ86−2ζ94−ζ14−2ζ46−2ζ86−ζ942ζ14+ζ46+ζ86+2ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−2ζ22−ζ38−2ζ62−ζ118ζ22+2ζ38+ζ62+2ζ1182ζ22+ζ38+2ζ62+ζ118−ζ22−2ζ38−ζ62−2ζ1180000000000000000-442201−51+5-2-2−1+5−1−52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118-11003i−3i−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116−1−52−1−52ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ92−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14−2ζ46−2ζ86−ζ942ζ14+ζ46+ζ86+2ζ94ζ14+2ζ46+2ζ86+ζ94−2ζ14−ζ46−ζ86−2ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ1182ζ22+ζ38+2ζ62+ζ118−ζ22−2ζ38−ζ62−2ζ118−2ζ22−ζ38−2ζ62−ζ118ζ22+2ζ38+ζ62+2ζ1180000000000000000

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