Finite Group Databasebeta

← Group #14417852

Character table — Group #14417852

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222244444444444444444444445555888888888888888888888810101010101010101010151515151515151516161616161616161616161620202020202020202020303030303030303030303030404040406060606060606060
order1244234688881212224456101215152020242424243030606060602244661012122030304040404060601201201201201201201201202466888812128888888810102020303030306060606022446122424242444444444888866121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-1-1-1−i−i−i−iiiii
χ511111111111111-1-1-1-11111111111111111111111-1-11-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-11111111111111111111111-1-11-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−iii−i−i1111−i−i−i−iiiii
χ811111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−iii1111iiii−i−i−i−i
χ911111111-1-1-1-1111-11-111111111-1-1-1-111111111111-111-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111-11-111-1-111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1
χ1011111111-1-1-1-1111-11-111111111-1-1-1-111111111111-111-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-111-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111
χ1111111111-1-1-1-1111-11-111111111-1-1-1-1111111-1-1-1-11-111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i1-11-111-1-111-1-1-11-11-1-11111−i−i−i−iiiiiii−i−i-11-11ii−i−i−i−iii
χ1211111111-1-1-1-1111-11-111111111-1-1-1-1111111-1-1-1-11-111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii1-11-111-1-111-1-1-11-11-1-11111iiii−i−i−i−i−i−iii-11-11−i−iiiii−i−i
χ1311111111-1-1-1-111-11-1111111111-1-1-1-11111111111-111-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-11-11-1-111-1-111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111
χ1411111111-1-1-1-111-11-1111111111-1-1-1-11111111111-111-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-1111-1-1-1-111111111-1-1-1-1-11-1111-1-111-1-1
χ1511111111-1-1-1-111-11-1111111111-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i-11-11-1-111-1-1111-11-1-1-11111−i−i−i−iiiiiii−i−i1-11-1−i−iiiii−i−i
χ1611111111-1-1-1-111-11-1111111111-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii-11-11-1-111-1-1111-11-1-1-11111iiii−i−i−i−i−i−iii1-11-1ii−i−i−i−iii
χ1711-1-1-111111-1-1-1-111-1-11-11111-1-111-1-111-1-1-1-111-1-111-1-1-11-1-111-1-1111111-1-1-1-1-111111-1-1-1-1ii−i−iii−i−i11-1-11111-1-1-1-111-1-1-1111-1-1ii−i−iii−i−ii−ii−i11-1-1i−ii−ii−ii−i
χ1811-1-1-111111-1-1-1-111-1-11-11111-1-111-1-111-1-1-1-111-1-111-1-1-11-1-111-1-1111111-1-1-1-1-111111-1-1-1-1−i−iii−i−iii11-1-11111-1-1-1-111-1-1-1111-1-1−i−iii−i−iii−ii−ii11-1-1−ii−ii−ii−ii
χ1911-1-1-111111-1-1-1-111-1-11-11111-1-111-1-111-1-1-1-1-1-11111-1-1-11-1-111-1-1111111-1-1-1-11-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-1111-1-11-1-1111-11-1-11-11
χ2011-1-1-111111-1-1-1-111-1-11-11111-1-111-1-111-1-1-1-1-1-11111-1-1-11-1-111-1-1111111-1-1-1-11-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1111-1-1-111-1-11111-1-1-111-1-1-111-11-111-11-1
χ2111-1-1-111111-1-1-1-1-1-1111-11111-1-111-1-111-1-1-1-111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1-111111-1-1-1-1ii−i−iii−i−i-1-111-1-1-1-11111-1-111-1111-1-1ii−i−iii−i−ii−ii−i-1-111−ii−ii−ii−ii
χ2211-1-1-111111-1-1-1-1-1-1111-11111-1-111-1-111-1-1-1-111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1-111111-1-1-1-1−i−iii−i−iii-1-111-1-1-1-11111-1-111-1111-1-1−i−iii−i−iii−ii−ii-1-111i−ii−ii−ii−i
χ2311-1-1-111111-1-1-1-1-1-1111-11111-1-111-1-111-1-1-1-1-1-111-1-1-1111-1-111-1-1111111-1-1-1-11-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-11-1-1-11111-1-1-1-1111-1-1111-1-1-11-111-11-1
χ2411-1-1-111111-1-1-1-1-1-1111-11111-1-111-1-111-1-1-1-1-1-111-1-1-1111-1-111-1-1111111-1-1-1-11-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111111-1-11-1-1-111-1-11111-1-1-111-111-1-11-11-1-11-11
χ2511-1-1-1111-1-111-1-11-1-111-11111-1-1-1-11111-1-1-1-111-1-11-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-111-1-1ii−i−iii−i−i1-1-1111-1-1-1-1111-1-11-11-1-111−i−iii−i−iiii−ii−i1-1-11i−i−iii−i−ii
χ2611-1-1-1111-1-111-1-11-1-111-11111-1-1-1-11111-1-1-1-111-1-11-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-111-1-1−i−iii−i−iii1-1-1111-1-1-1-1111-1-11-11-1-111ii−i−iii−i−i−ii−ii1-1-11−iii−i−iii−i
χ2711-1-1-1111-1-111-1-11-1-111-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-111111-1-1-111-1-11111-1-1-1-1111-1-1111-1-1-1-111-111-11-111-1-1-1-11111-1-11-1-11-111-11-1-11-111-1
χ2811-1-1-1111-1-111-1-11-1-111-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-11111-1-11-1-1111-1-1-1-111-111-11-111-1-111-1-1-1-111-111-1-111-1-111-11-1-11
χ2911-1-1-1111-1-111-1-1-111-11-11111-1-1-1-11111-1-1-1-111-1-1-11-11-11-1-1-1-11111-1-1-1-11111-1111-1-111-1-1ii−i−iii−i−i-111-1-1-11111-1-1-111-1-11-1-111−i−iii−i−iiii−ii−i-111-1−iii−i−iii−i
χ3011-1-1-1111-1-111-1-1-111-11-11111-1-1-1-11111-1-1-1-111-1-1-11-11-11-1-1-1-11111-1-1-1-11111-1111-1-111-1-1−i−iii−i−iii-111-1-1-11111-1-1-111-1-11-1-111ii−i−iii−i−i−ii−ii-111-1i−i−iii−i−ii
χ3111-1-1-1111-1-111-1-1-111-11-11111-1-1-1-11111-1-1-1-1-1-111-11-11-11-1-1-1-11111-1-1-1-111111-1-1-111-1-11111-1-1-1-111-111-1-1-11111-1-11-1-111-111-1-1-1-11111-1-11-1-111-1-11-111-11-1-11
χ3211-1-1-1111-1-111-1-1-111-11-11111-1-1-1-11111-1-1-1-1-1-111-11-11-11-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-11111-1-1-111-1-1-11111-1-11-1-111-111-1-111-1-1-1-111-111-11-1-111-1-11-111-1
χ3322222-12-12222-1-122222-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1000000002222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000000000000-1-1-1-100000000
χ3422222-12-12222-1-122222-12-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-211000000002222-1-1-1-1-1-1-1-1-2-2-2-2111111000000000000111100000000
χ3522222-12-12222-1-1-2-2-2-22-12-1-1-122-1-1-1-1-1-1-1-1-1-12222112112-1-12222-1-1-1-1-1-1-1-1-1-122-1-12222-1-100000000-2-2-2-211111111-2-2-2-2-1-1-1-1-1-1000000000000111100000000
χ3622222-12-12222-1-1-2-2-2-22-12-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2112112-1-12222-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-21100000000-2-2-2-2111111112222111111000000000000-1-1-1-100000000
χ3722222-12-1-2-2-2-2-1-12-22-22-12-1-1-1221111-1-1-1-1-1-12222-112-112-1-1-2-2-2-2-1-11111111122-1-1-2-2-2-2-1-1000000002-22-2-1-111-1-1112-22-2-1-11111000000000000-11-1100000000
χ3822222-12-1-2-2-2-2-1-12-22-22-12-1-1-1221111-1-1-1-1-1-1-2-2-2-2-112-112-1-1-2-2-2-2-1-111111111-2-211222211000000002-22-2-1-111-1-111-22-2211-1-1-1-10000000000001-11-100000000
χ3922222-12-1-2-2-2-2-1-1-22-222-12-1-1-1221111-1-1-1-1-1-122221-121-12-1-1-2-2-2-2-1-11111111122-1-1-2-2-2-2-1-100000000-22-2211-1-111-1-1-22-22-1-111110000000000001-11-100000000
χ4022222-12-1-2-2-2-2-1-1-22-222-12-1-1-1221111-1-1-1-1-1-1-2-2-2-21-121-12-1-1-2-2-2-2-1-111111111-2-21122221100000000-22-2211-1-111-1-12-22-211-1-1-1-1000000000000-11-1100000000
χ412222-22-2200002200002-22-222220000222222222200-200-2-2-20000-2-200000000-2-222000022222222220000000000000000-2-2000000000000-2-2-2-2000000000000
χ422222-22-2200002200002-22-222220000222222222200-200-2-2-20000-2-200000000-2-222000022-2-2-2-2-2-2-2-20000000000000000-2-20000000000002222000000000000
χ432222-22-2200002200002-22-222220000222222-2-2-2-200-200-2-2-20000-2-20000000022-2-20000-2-22i2i2i2i−2i−2i−2i−2i000000000000000022000000000000−2i−2i2i2i000000000000
χ442222-22-2200002200002-22-222220000222222-2-2-2-200-200-2-2-20000-2-20000000022-2-20000-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000220000000000002i2i−2i−2i000000000000
χ4522-2-222-220000-2-20000222-222-2-2000022-2-2-2-222-2-200200-2220000-2-2000000002-2220000-2-22i2i−2i−2i2i2i−2i−2i00000000000000002-2000000000000−2i2i−2i2i000000000000
χ4622-2-222-220000-2-20000222-222-2-2000022-2-2-2-222-2-200200-2220000-2-2000000002-2220000-2-2−2i−2i2i2i−2i−2i2i2i00000000000000002-20000000000002i−2i2i−2i000000000000
χ4722-2-222-220000-2-20000222-222-2-2000022-2-2-2-2-2-22200200-2220000-2-200000000-22-2-200002222-2-2-2-2220000000000000000-22000000000000-222-2000000000000
χ4822-2-222-220000-2-20000222-222-2-2000022-2-2-2-2-2-22200200-2220000-2-200000000-22-2-2000022-2-22222-2-20000000000000000-220000000000002-2-22000000000000
χ4922-2-2-2-12-122-2-21122-2-2212-1-1-1-2-2-1-111-1-1111122-2-2-1-1-21121122-2-2-1-1-1-1-1-11111-22-1-122-2-2110000000022-2-2-1-1-1-1111122-2-21-1-1-111000000000000-1-11100000000
χ5022-2-2-2-12-122-2-21122-2-2212-1-1-1-2-2-1-111-1-11111-2-222-1-1-21121122-2-2-1-1-1-1-1-111112-211-2-222-1-10000000022-2-2-1-1-1-11111-2-222-1111-1-100000000000011-1-100000000
χ5122-2-2-2-12-122-2-211-2-222212-1-1-1-2-2-1-111-1-1111122-2-211-2-1-121122-2-2-1-1-1-1-1-11111-22-1-122-2-21100000000-2-2221111-1-1-1-1-2-2221-1-1-11100000000000011-1-100000000
χ5222-2-2-2-12-122-2-211-2-222212-1-1-1-2-2-1-111-1-11111-2-22211-2-1-121122-2-2-1-1-1-1-1-111112-211-2-222-1-100000000-2-2221111-1-1-1-122-2-2-1111-1-1000000000000-1-11100000000
χ5322-2-2-2-12-1-2-222112-2-22212-1-1-1-2-211-1-1-1-1111122-2-2-11-21-1211-2-222-1-11111-1-1-1-1-22-1-1-2-22211000000002-2-22-1-11111-1-12-2-221-111-1-1000000000000-111-100000000
χ5422-2-2-2-12-1-2-222112-2-22212-1-1-1-2-211-1-1-1-11111-2-222-11-21-1211-2-222-1-11111-1-1-1-12-21122-2-2-1-1000000002-2-22-1-11111-1-1-222-2-11-1-1110000000000001-1-1100000000
χ5522-2-2-2-12-1-2-22211-222-2212-1-1-1-2-211-1-1-1-1111122-2-21-1-2-11211-2-222-1-11111-1-1-1-1-22-1-1-2-2221100000000-222-211-1-1-1-111-222-21-111-1-10000000000001-1-1100000000
χ5622-2-2-2-12-1-2-22211-222-2212-1-1-1-2-211-1-1-1-11111-2-2221-1-2-11211-2-222-1-11111-1-1-1-12-21122-2-2-1-100000000-222-211-1-1-1-1112-2-22-11-1-111000000000000-111-100000000
χ572-22i−2i020-22−2−i2i22i−2i000020-20222i−2i2−2−i2i2-2-22i2i−2i−2i2-22i−2i000000002−2−i2i20022−2−2−i2−i2i2i2002-22−2−i2i22i−2i2ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000000000000000002−2−i2i21+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.