Finite Group Databasebeta

← Group #14480587

Character table — Group #14480587

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444444466668888121212121212222244444488888888888812121212161616162424242424242222444444888888888888121212121616161624242424242455551010101010102020202020202020202020203030303040404040606060606060
order12223446662444446612121212224412121212222444510101015202030303010202020202030306060606010102020606060601010102020205101010152020303030102020202020303060606060101020206060606010101020202022226446662444446612121212224412121212222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111-1-11-1-11111111111-1-1-1-11-1-1-1-1111111111111-1-11-1-11111111111-1-1-1-11-1-1-1-1111111111111-1-11-1-11111111111-1-1-1-11-1-1-1-1111111111111-1-11-1-11111111111-1-1-1-11-1-1-1-11
χ411111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-11111-111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-11111-111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-11111-111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-11111-1
χ51111111111-111-1-1-1-1-111-1-1111111-1-1-1-1-111-11111111111-111-1-1-1-1-111-1-1111111-1-1-1-1-111-11111111111-111-1-1-1-1-111-1-1111111-1-1-1-1-111-11111111111-111-1-1-1-1-111-1-1111111-1-1-1-1-111-1
χ61111111111-111-1-1-1-1-111-1-1-1-1-1-111-1-1111-1-111111111111-111-1-1-1-1-111-1-1-1-1-1-111-1-1111-1-111111111111-111-1-1-1-1-111-1-1-1-1-1-111-1-1111-1-111111111111-111-1-1-1-1-111-1-1-1-1-1-111-1-1111-1-11
χ71111111111-1-1-1-111-1-111-1-11111-1-111-111-1-1-11111111111-1-1-1-111-1-111-1-11111-1-111-111-1-1-11111111111-1-1-1-111-1-111-1-11111-1-111-111-1-1-11111111111-1-1-1-111-1-111-1-11111-1-111-111-1-1-1
χ81111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-11111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-11111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-11111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-1111
χ911111-1-111111-1-11-111-1-1-1-111-1-11-11-1-11-11-1111111-1-111111-1-11-111-1-1-1-111-1-11-11-1-11-11-1111111-1-111111-1-11-111-1-1-1-111-1-11-11-1-11-11-1111111-1-111111-1-11-111-1-1-1-111-1-11-11-1-11-11-11
χ1011111-1-111111-1-11-111-1-1-1-1-1-1111-11-11-11-11-111111-1-111111-1-11-111-1-1-1-1-1-1111-11-11-11-11-111111-1-111111-1-11-111-1-1-1-1-1-1111-11-11-11-11-111111-1-111111-1-11-111-1-1-1-1-1-1111-11-11-11-11-1
χ1111111-1-11111-11-1-1111-1-1-1-111-1-1-11-11-1-11-11111111-1-11111-11-1-1111-1-1-1-111-1-1-11-11-1-11-11111111-1-11111-11-1-1111-1-1-1-111-1-1-11-11-1-11-11111111-1-11111-11-1-1111-1-1-1-111-1-1-11-11-1-11-111
χ1211111-1-11111-11-1-1111-1-1-1-1-1-111-11-1111-11-1-111111-1-11111-11-1-1111-1-1-1-1-1-111-11-1111-11-1-111111-1-11111-11-1-1111-1-1-1-1-1-111-11-1111-11-1-111111-1-11111-11-1-1111-1-1-1-1-1-111-11-1111-11-1-1
χ1311111-1-1111-11-11-11-1-1-1-11111-1-11-1-111-111-1-111111-1-1111-11-11-11-1-1-1-11111-1-11-1-111-111-1-111111-1-1111-11-11-11-1-1-1-11111-1-11-1-111-111-1-111111-1-1111-11-11-11-1-1-1-11111-1-11-1-111-111-1-1
χ1411111-1-1111-11-11-11-1-1-1-111-1-1111-1-11-11-1-11111111-1-1111-11-11-11-1-1-1-111-1-1111-1-11-11-1-11111111-1-1111-11-11-11-1-1-1-111-1-1111-1-11-11-1-11111111-1-1111-11-11-11-1-1-1-111-1-1111-1-11-11-1-111
χ1511111-1-1111-1-1111-1-1-1-1-11111-1-1-111-111-1-11-111111-1-1111-1-1111-1-1-1-1-11111-1-1-111-111-1-11-111111-1-1111-1-1111-1-1-1-1-11111-1-1-111-111-1-11-111111-1-1111-1-1111-1-1-1-1-11111-1-1-111-111-1-11-1
χ1611111-1-1111-1-1111-1-1-1-1-111-1-111-111-1-1-111-1111111-1-1111-1-1111-1-1-1-1-111-1-111-111-1-1-111-1111111-1-1111-1-1111-1-1-1-1-111-1-111-111-1-1-111-1111111-1-1111-1-1111-1-1-1-1-111-1-111-111-1-1-111-11
χ172222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-10000002222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-10000002222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-10000002222-122-1-1-1222222-1-1-1-1-1-10000-1-1-1-1000000
χ182222-122-1-1-12-2-22-2-2-1-1-1-1-1-1000011110000002222-122-1-1-12-2-22-2-2-1-1-1-1-1-1000011110000002222-122-1-1-12-2-22-2-2-1-1-1-1-1-1000011110000002222-122-1-1-12-2-22-2-2-1-1-1-1-1-100001111000000
χ192222-122-1-1-1-222-2-2-211-1-1110000-1-1110000002222-122-1-1-1-222-2-2-211-1-1110000-1-1110000002222-122-1-1-1-222-2-2-211-1-1110000-1-1110000002222-122-1-1-1-222-2-2-211-1-1110000-1-111000000
χ202222-122-1-1-1-2-2-2-22211-1-111000011-1-10000002222-122-1-1-1-2-2-2-22211-1-111000011-1-10000002222-122-1-1-1-2-2-2-22211-1-111000011-1-10000002222-122-1-1-1-2-2-2-22211-1-111000011-1-1000000
χ212222-1-2-2-1-1-122-2-22-2-1-111110000-11-110000002222-1-2-2-1-1-122-2-22-2-1-111110000-11-110000002222-1-2-2-1-1-122-2-22-2-1-111110000-11-110000002222-1-2-2-1-1-122-2-22-2-1-111110000-11-11000000
χ222222-1-2-2-1-1-12-22-2-22-1-1111100001-11-10000002222-1-2-2-1-1-12-22-2-22-1-1111100001-11-10000002222-1-2-2-1-1-12-22-2-22-1-1111100001-11-10000002222-1-2-2-1-1-12-22-2-22-1-1111100001-11-1000000
χ232222-1-2-2-1-1-1-22-22-221111-1-10000-111-10000002222-1-2-2-1-1-1-22-22-221111-1-10000-111-10000002222-1-2-2-1-1-1-22-22-221111-1-10000-111-10000002222-1-2-2-1-1-1-22-22-221111-1-10000-111-1000000
χ242222-1-2-2-1-1-1-2-2222-21111-1-100001-1-110000002222-1-2-2-1-1-1-2-2222-21111-1-100001-1-110000002222-1-2-2-1-1-1-2-2222-21111-1-100001-1-110000002222-1-2-2-1-1-1-2-2222-21111-1-100001-1-11000000
χ252-2-2222-2-2-22000000002-2002-22-200000000002-2-2222-2-2-22000000002-2002-22-200000000002-2-2222-2-2-22000000002-2002-22-200000000002-2-2222-2-2-22000000002-2002-22-20000000000
χ262-2-2222-2-2-22000000002-200-22-2200000000002-2-2222-2-2-22000000002-200-22-2200000000002-2-2222-2-2-22000000002-200-22-2200000000002-2-2222-2-2-22000000002-200-22-220000000000
χ272-2-222-22-2-2200000000-22002-2-2200000000002-2-222-22-2-2200000000-22002-2-2200000000002-2-222-22-2-2200000000-22002-2-2200000000002-2-222-22-2-2200000000-22002-2-220000000000
χ282-2-222-22-2-2200000000-2200-222-200000000002-2-222-22-2-2200000000-2200-222-200000000002-2-222-22-2-2200000000-2200-222-200000000002-2-222-22-2-2200000000-2200-222-20000000000
χ2944-4-44004-4-40000000000000000000000000044-4-44004-4-40000000000000000000000000044-4-44004-4-40000000000000000000000000044-4-44004-4-400000000000000000000000000
χ3044-4-4-200-222000000−2i32i300000000000000000044-4-4-200-222000000−2i32i300000000000000000044-4-4-200-222000000−2i32i300000000000000000044-4-4-200-222000000−2i32i3000000000000000000
χ3144-4-4-200-2220000002i3−2i300000000000000000044-4-4-200-2220000002i3−2i300000000000000000044-4-4-200-2220000002i3−2i300000000000000000044-4-4-200-2220000002i3−2i3000000000000000000
χ324-44-4400-44-4000000000000000000000000004-44-4400-44-4000000000000000000000000004-44-4400-44-4000000000000000000000000004-44-4400-44-400000000000000000000000000
χ334-44-4-2002-22000000000023−23000000000000004-44-4-2002-22000000000023−23000000000000004-44-4-2002-22000000000023−23000000000000004-44-4-2002-22000000000023−2300000000000000
χ344-44-4-2002-220000000000−2323000000000000004-44-4-2002-220000000000−2323000000000000004-44-4-2002-220000000000−2323000000000000004-44-4-2002-220000000000−232300000000000000
χ354-4-44-24-422-200000000-2200000000000000004-4-44-24-422-200000000-2200000000000000004-4-44-24-422-200000000-2200000000000000004-4-44-24-422-200000000-220000000000000000
χ364-4-44-2-4422-2000000002-200000000000000004-4-44-2-4422-2000000002-200000000000000004-4-44-2-4422-2000000002-200000000000000004-4-44-2-4422-2000000002-20000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ3911111111111-1-11-1-11111111111-1-1-1-11-1-1-1-1111111111111-1-11-1-11111111111-1-1-1-11-1-1-1-1111111111111-1-11-1-11111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-11111-1
χ4011111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-11111-111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-11111-111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111111111-1-1-1-11
χ411111111111-111-1-1-1-1-111-1-1111111-1-1-1-1-111-11111111111-111-1-1-1-1-111-1-1111111-1-1-1-1-111-11111111111-111-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-1-111111-1-11
χ421111111111-111-1-1-1-1-111-1-1-1-1-1-111-1-1111-1-111111111111-111-1-1-1-1-111-1-1-1-1-1-111-1-1111-1-111111111111-111-1-1-1-1-111-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11-1-111111-1-1111111-1-111-1-1-111-1
χ431111111111-1-1-1-111-1-111-1-11111-1-111-111-1-1-11111111111-1-1-1-111-1-111-1-11111-1-111-111-1-1-11111111111-1-1-1-111-1-111-1-11111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-11-1-1111
χ441111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-11111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-11111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-111-1-1-1
χ4511111-1-111111-1-11-111-1-1-1-111-1-11-11-1-11-11-1111111-1-111111-1-11-111-1-1-1-111-1-11-11-1-11-11-1111111-1-111111-1-11-111-1-1-1-111-1-11-11-1-11-11-11-1-1-1-1-111-1-1-1-1-111-11-1-11111-1-111-11-111-11-11-1
χ4611111-1-111111-1-11-111-1-1-1-1-1-1111-11-11-11-11-111111-1-111111-1-11-111-1-1-1-1-1-1111-11-11-11-11-111111-1-111111-1-11-111-1-1-1-1-1-1111-11-11-11-11-1-1-1-1-1-111-1-1-1-1-111-11-1-1111111-1-1-11-11-11-11-11
χ4711111-1-11111-11-1-1111-1-1-1-111-1-1-11-11-1-11-11111111-1-11111-11-1-1111-1-1-1-111-1-1-11-11-1-11-11111111-1-11111-11-1-1111-1-1-1-111-1-1-11-11-1-11-111-1-1-1-1-111-1-1-1-11-111-1-1-11111-1-1111-11-111-11-1-1
χ4811111-1-11111-11-1-1111-1-1-1-1-1-111-11-1111-11-1-111111-1-11111-11-1-1111-1-1-1-1-1-111-11-1111-11-1-111111-1-11111-11-1-1111-1-1-1-1-1-111-11-1111-11-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1111111-1-11-11-1-1-11-111
χ4911111-1-1111-11-11-11-1-1-1-11111-1-11-1-111-111-1-111111-1-1111-11-11-11-1-1-1-11111-1-11-1-111-111-1-111111-1-1111-11-11-11-1-1-1-11111-1-11-1-111-111-1-1-1-1-1-1-111-1-1-11-11-11-11111-1-1-1-111-111-1-11-1-111
χ5011111-1-1111-11-11-11-1-1-1-111-1-1111-1-11-11-1-11111111-1-1111-11-11-11-1-1-1-111-1-1111-1-11-11-1-11111111-1-1111-11-11-11-1-1-1-111-1-1111-1-11-11-1-111-1-1-1-1-111-1-1-11-11-11-11111-1-111-1-1-111-11-111-1-1
χ5111111-1-1111-1-1111-1-1-1-1-11111-1-1-111-111-1-11-111111-1-1111-1-1111-1-1-1-1-11111-1-1-111-111-1-11-111111-1-1111-1-1111-1-1-1-1-11111-1-1-111-111-1-11-1-1-1-1-1-111-1-1-111-1-1-111111-1-1-1-1111-1-11-1-111-11
χ5211111-1-1111-1-1111-1-1-1-1-111-1-111-111-1-1-111-1111111-1-1111-1-1111-1-1-1-1-111-1-111-111-1-1-111-1111111-1-1111-1-1111-1-1-1-1-111-1-111-111-1-1-111-11-1-1-1-1-111-1-1-111-1-1-111111-1-111-1-11-1-1111-1-11-1
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χ562222-122-1-1-1-2-2-2-22211-1-111000011-1-10000002222-122-1-1-1-2-2-2-22211-1-111000011-1-10000002222-122-1-1-1-2-2-2-22211-1-111000011-1-1000000-2-2-2-21-2-21112222-2-2-1-111-1-10000-1-111000000
χ572222-1-2-2-1-1-122-2-22-2-1-111110000-11-110000002222-1-2-2-1-1-122-2-22-2-1-111110000-11-110000002222-1-2-2-1-1-122-2-22-2-1-111110000-11-11000000-2-2-2-2122111-2-222-2211-1-1-1-100001-11-1000000
χ582222-1-2-2-1-1-12-22-2-22-1-1111100001-11-10000002222-1-2-2-1-1-12-22-2-22-1-1111100001-11-10000002222-1-2-2-1-1-12-22-2-22-1-1111100001-11-1000000-2-2-2-2122111-22-222-211-1-1-1-10000-11-11000000
χ592222-1-2-2-1-1-1-22-22-221111-1-10000-111-10000002222-1-2-2-1-1-1-22-22-221111-1-10000-111-10000002222-1-2-2-1-1-1-22-22-221111-1-10000-111-1000000-2-2-2-21221112-22-22-2-1-1-1-11100001-1-11000000
χ602222-1-2-2-1-1-1-2-2222-21111-1-100001-1-110000002222-1-2-2-1-1-1-2-2222-21111-1-100001-1-110000002222-1-2-2-1-1-1-2-2222-21111-1-100001-1-11000000-2-2-2-212211122-2-2-22-1-1-1-1110000-111-1000000
χ612-2-2222-2-2-22000000002-2002-22-200000000002-2-2222-2-2-22000000002-2002-22-200000000002-2-2222-2-2-22000000002-2002-22-20000000000-222-2-2-2222-200000000-2200-22-220000000000
χ622-2-2222-2-2-22000000002-200-22-2200000000002-2-2222-2-2-22000000002-200-22-2200000000002-2-2222-2-2-22000000002-200-22-220000000000-222-2-2-2222-200000000-22002-22-20000000000
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χ13788-8-88008-8-800000000000000000000000000−2−25−2−252+252+25−2−2500−2−252+252+2500000000000000000000000000−2+25−2+252−252−25−2+2500−2+252−252−2500000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-400-444000000−4i34i3000000000000000000−2−25−2−252+252+251+5001+5−1−5−1−50000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46000000000000000000−2+25−2+252−252−251−5001−5−1+5−1+50000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58000000000000000000000000000000000000000000000000000000
χ13988-8-8-400-4440000004i3−4i3000000000000000000−2−25−2−252+252+251+5001+5−1−5−1−5000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46000000000000000000−2+25−2+252−252−251−5001−5−1+5−1+5000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58000000000000000000000000000000000000000000000000000000
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χ1418-88-8-4004-44000000000043−4300000000000000−2−252+25−2−252+251+500−1−51+5−1−50000000000−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ5900000000000000−2+252−25−2+252−251−500−1+51−5−1+500000000002ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ4700000000000000000000000000000000000000000000000000
χ1428-88-8-4004-440000000000−434300000000000000−2−252+25−2−252+251+500−1−51+5−1−500000000002ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ5900000000000000−2+252−25−2+252−251−500−1+51−5−1+50000000000−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ4700000000000000000000000000000000000000000000000000
χ1438-8-88-48-844-400000000-440000000000000000−2−252+252+25−2−251+5−2−252+25−1−5−1−51+5000000001+5−1−50000000000000000−2+252−252−25−2+251−5−2+252−25−1+5−1+51−5000000001−5−1+50000000000000000000000000000000000000000000000000000
χ1448-8-88-4-8844-4000000004-40000000000000000−2−252+252+25−2−251+52+25−2−25−1−5−1−51+500000000−1−51+50000000000000000−2+252−252−25−2+251−52−25−2+25−1+5−1+51−500000000−1+51−50000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.