Finite Group Databasebeta

← Group #72260132

Character table — Group #72260132

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222444444444444121212121212121212121212181818182222444444444488888888888824242424242424242424242436363636222244444444448888888888882424242424242424242424243636363655551010101010101010101020202020202020202020202060606060606060606060606090909090
order12442334661212121236666612121212121224668812122424242444445102020101515203030606060601530303030306060606060601020303040406060120120120120202020205102020101515203030606060601530303030306060606060601020303040406060120120120120202020202244266466121212126666661212121212122466881212242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i
χ611-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii
χ711-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1i−i11ii−i−i−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1i−i11ii−i−i−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1i−i11ii−i−i−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1i−i11ii−i−i−i−iii
χ811-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1−ii11−i−iiiii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1−ii11−i−iiiii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1−ii11−i−iiiii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1−ii11−i−iiiii−i−i
χ9222222-122-1-1-122-12-1-1-1-12-1-1-1-1-122-1-100-1-100000000222222-122-1-1-122-12-1-1-1-12-1-1-1-1-122-1-100-1-100000000222222-122-1-1-122-12-1-1-1-12-1-1-1-1-122-1-100-1-100000000222222-122-1-1-122-12-1-1-1-12-1-1-1-1-122-1-100-1-100000000
χ10222222-122-1-1-122-12-1-1-1-12-1-1-1-1-1-2-211001100000000222222-122-1-1-122-12-1-1-1-12-1-1-1-1-1-2-211001100000000222222-122-1-1-122-12-1-1-1-12-1-1-1-1-1-2-211001100000000222222-122-1-1-122-12-1-1-1-12-1-1-1-1-1-2-211001100000000
χ1122222-122-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-1000022222-122-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-1000022222-122-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-1000022222-122-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-10000
χ1222222-122-1222-1-1-1-12-1-1-1-12-1-1-1-10000-2-2001111000022222-122-1222-1-1-1-12-1-1-1-12-1-1-1-10000-2-2001111000022222-122-1222-1-1-1-12-1-1-1-12-1-1-1-10000-2-2001111000022222-122-1222-1-1-1-12-1-1-1-12-1-1-1-10000-2-20011110000
χ132222-222-22222222-2-2-2-22-2-2-2-22200000000000000002222-222-22222222-2-2-2-22-2-2-2-22200000000000000002222-222-22222222-2-2-2-22-2-2-2-22200000000000000002222-222-22222222-2-2-2-22-2-2-2-2220000000000000000
χ142222-22-1-22-1-1-122-1-2111-1-2111-1-100−i3i300−i3i3000000002222-22-1-22-1-1-122-1-2111-1-2111-1-100−i3i300−i3i3000000002222-22-1-22-1-1-122-1-2111-1-2111-1-100−i3i300−i3i3000000002222-22-1-22-1-1-122-1-2111-1-2111-1-100−i3i300−i3i300000000
χ152222-22-1-22-1-1-122-1-2111-1-2111-1-100i3−i300i3−i3000000002222-22-1-22-1-1-122-1-2111-1-2111-1-100i3−i300i3−i3000000002222-22-1-22-1-1-122-1-2111-1-2111-1-100i3−i300i3−i3000000002222-22-1-22-1-1-122-1-2111-1-2111-1-100i3−i300i3−i300000000
χ162222-2-12-2-1222-1-1-11-211-11-211-1-100000000−i3i3−i3i300002222-2-12-2-1222-1-1-11-211-11-211-1-100000000−i3i3−i3i300002222-2-12-2-1222-1-1-11-211-11-211-1-100000000−i3i3−i3i300002222-2-12-2-1222-1-1-11-211-11-211-1-100000000−i3i3−i3i30000
χ172222-2-12-2-1222-1-1-11-211-11-211-1-100000000i3−i3i3−i300002222-2-12-2-1222-1-1-11-211-11-211-1-100000000i3−i3i3−i300002222-2-12-2-1222-1-1-11-211-11-211-1-100000000i3−i3i3−i300002222-2-12-2-1222-1-1-11-211-11-211-1-100000000i3−i3i3−i30000
χ1822-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-20000000000000000
χ1922-2-222-1-22-111-2-2-12-1-1-1-1-21111100−i3i300i3−i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100−i3i300i3−i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100−i3i300i3−i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100−i3i300i3−i300000000
χ2022-2-222-1-22-111-2-2-12-1-1-1-1-21111100i3−i300−i3i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100i3−i300−i3i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100i3−i300−i3i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100i3−i300−i3i300000000
χ2122-2-22-12-2-12-2-211-1-12-1-1-11-21111000000003−3−33000022-2-22-12-2-12-2-211-1-12-1-1-11-21111000000003−3−33000022-2-22-12-2-12-2-211-1-12-1-1-11-21111000000003−3−33000022-2-22-12-2-12-2-211-1-12-1-1-11-21111000000003−3−330000
χ2222-2-22-12-2-12-2-211-1-12-1-1-11-2111100000000−333−3000022-2-22-12-2-12-2-211-1-12-1-1-11-2111100000000−333−3000022-2-22-12-2-12-2-211-1-12-1-1-11-2111100000000−333−3000022-2-22-12-2-12-2-211-1-12-1-1-11-2111100000000−333−30000
χ2322-2-2-22-122-111-2-2-1-2111-12-1-1-1112-2-1-100110000000022-2-2-22-122-111-2-2-1-2111-12-1-1-1112-2-1-100110000000022-2-2-22-122-111-2-2-1-2111-12-1-1-1112-2-1-100110000000022-2-2-22-122-111-2-2-1-2111-12-1-1-1112-2-1-1001100000000
χ2422-2-2-22-122-111-2-2-1-2111-12-1-1-111-221100-1-10000000022-2-2-22-122-111-2-2-1-2111-12-1-1-111-221100-1-10000000022-2-2-22-122-111-2-2-1-2111-12-1-1-111-221100-1-10000000022-2-2-22-122-111-2-2-1-2111-12-1-1-111-221100-1-100000000
χ2522-2-2-2-122-12-2-211-11-211-1-12-1-11100002i−2i00−i−iii000022-2-2-2-122-12-2-211-11-211-1-12-1-11100002i−2i00−i−iii000022-2-2-2-122-12-2-211-11-211-1-12-1-11100002i−2i00−i−iii000022-2-2-2-122-12-2-211-11-211-1-12-1-11100002i−2i00−i−iii0000
χ2622-2-2-2-122-12-2-211-11-211-1-12-1-1110000−2i2i00ii−i−i000022-2-2-2-122-12-2-211-11-211-1-12-1-1110000−2i2i00ii−i−i000022-2-2-2-122-12-2-211-11-211-1-12-1-1110000−2i2i00ii−i−i000022-2-2-2-122-12-2-211-11-211-1-12-1-1110000−2i2i00ii−i−i0000
χ272-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000001+i−1−i1−i−1+i2-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000001+i−1−i1−i−1+i2-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000001+i−1−i1−i−1+i2-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000001+i−1−i1−i−1+i
χ282-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−1−i1+i−1+i1−i2-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−1−i1+i−1+i1−i2-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−1−i1+i−1+i1−i2-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−1−i1+i−1+i1−i
χ292-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i0000000000001−i−1+i1+i−1−i2-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i0000000000001−i−1+i1+i−1−i2-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i0000000000001−i−1+i1+i−1−i2-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i0000000000001−i−1+i1+i−1−i
χ302-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i000000000000−1+i1−i−1−i1+i2-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i000000000000−1+i1−i−1−i1+i2-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i000000000000−1+i1−i−1−i1+i2-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i000000000000−1+i1−i−1−i1+i
χ3144444-2-24-2-2-2-2-2-21-2-2111-2-21111000000000000000044444-2-24-2-2-2-2-2-21-2-2111-2-21111000000000000000044444-2-24-2-2-2-2-2-21-2-2111-2-21111000000000000000044444-2-24-2-2-2-2-2-21-2-2111-2-211110000000000000000
χ324444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-11100000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-11100000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-11100000000000000004444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-1110000000000000000
χ3344-4-44-2-2-4-2-222221-2-211122-1-1-1-1000000000000000044-4-44-2-2-4-2-222221-2-211122-1-1-1-1000000000000000044-4-44-2-2-4-2-222221-2-211122-1-1-1-1000000000000000044-4-44-2-2-4-2-222221-2-211122-1-1-1-10000000000000000
χ3444-4-4-4-2-24-2-22222122-1-11-2-211-1-1000000000000000044-4-4-4-2-24-2-22222122-1-11-2-211-1-1000000000000000044-4-4-4-2-24-2-22222122-1-11-2-211-1-1000000000000000044-4-4-4-2-24-2-22222122-1-11-2-211-1-10000000000000000
χ354-44i−4i04-20-42−2i2i4i−4i-2000020000−2i2i00000000000000004-44i−4i04-20-42−2i2i4i−4i-2000020000−2i2i00000000000000004-44i−4i04-20-42−2i2i4i−4i-2000020000−2i2i00000000000000004-44i−4i04-20-42−2i2i4i−4i-2000020000−2i2i0000000000000000
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χ374-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i00000000000000004-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i00000000000000004-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i00000000000000004-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i0000000000000000
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χ394-4−4i4i04-20-422i−2i−4i4i-20000200002i−2i00000000000000004-4−4i4i04-20-422i−2i−4i4i-20000200002i−2i00000000000000004-4−4i4i04-20-422i−2i−4i4i-20000200002i−2i00000000000000004-4−4i4i04-20-422i−2i−4i4i-20000200002i−2i0000000000000000
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χ414-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii0000000000000000
χ424-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii00000000000000004-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii0000000000000000
χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ4511111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ4611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4711-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i-1-1111-1-1-1-1-11111-11111-1-1-1-1-111-11-1-1−ii11−i−iii−i−iii
χ4811-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii-1-1111-1-1-1-1-11111-11111-1-1-1-1-111-11-1-1i−i11ii−i−iii−i−i
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χ1658-8−8i8i08-40-844i−4i−8i8i-40000400004i−4i0000000000000000−2−252+254ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ590−2−251+502+25−1−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ591+50000−1−50000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000−2+252−254ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ470−2+251−502−25−1+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ471−50000−1+50000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000
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χ1678-8−8i8i0-4-40444i−4i4i−4i2006-6-200−6i6i−2i2i0000000000000000−2−252+254ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ5901+51+50−1−5−1−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1−5200−3−3523+3521+52003ζ11+3ζ19+3ζ31+3ζ59−3ζ11−3ζ19−3ζ31−3ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000000000000000−2+252−254ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ4701−51−50−1+5−1+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1+5200−3+3523−3521−52003ζ7+3ζ23+3ζ43+3ζ47−3ζ7−3ζ23−3ζ43−3ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000000000000000000000000000000000000000000000000000
χ1688-8−8i8i0-4-40444i−4i4i−4i200-66-2006i−6i−2i2i0000000000000000−2−252+254ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ5901+51+50−1−5−1−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−1−52003+352−3−3521+5200−3ζ11−3ζ19−3ζ31−3ζ593ζ11+3ζ19+3ζ31+3ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000000000000000−2+252−254ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ4701−51−50−1+5−1+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−1+52003−352−3+3521−5200−3ζ7−3ζ23−3ζ43−3ζ473ζ7+3ζ23+3ζ43+3ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000000000000000000000000000000000000000000000000000

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