Finite Group Databasebeta

← Group #14425680

Character table — Group #14425680

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122222222244444444444444444444488888888888888888888888881212121215151616161616161616161616202020202424242424242424242430303040404040404048484848606060608080120
order122223556101024446661010101010101515303030303030461010121212202020202020303030306060606060606060224444122020303060606060606022444410101010202020204444466121220202020222412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-11
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1
χ51111111111111-1-111111111111111111-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1111111-1-111111111111-1-11111-1-1-1-11-1-11-1-1-1
χ61111111111111-1-111111111111111111-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-111-1111
χ71111111111111-1-111111111111111111-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1111-1
χ81111111111111-1-111111111111111111-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11
χ911111111111-1-11111111111111111111-1-1-1-1-111-1-111111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-11-11-11-111-1-111-1-11111-11-11-111-1-1-111-11-1-1
χ1011111111111-1-11111111111111111111-1-1-1-1-111-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-111-1-111-1-1-1-1-1-11-11-1111-1-11-1-11-111
χ1111111111111-1-11111111111111111111-1-1-1-1-111-1-11111111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-111111-11-11-11-1-111-111-1-11-1
χ1211111111111-1-11111111111111111111-1-1-1-1-111-1-11111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1-111-1-111-1-1-11-11-11-1-1-1111-1-111-11
χ1311111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111111-1-11111-1-11-11-1-1111-1-111-1-1111-111-11-1-1-111-1-1-1-1-111
χ1411111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1111-1-11111-1-1-11-11-1111-1-111-1-1-1-1-11-1-11-11-1-11111111-1-1
χ1511111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111-1-11111-1-1-11-111-1-1-111-1-1111111-1-11-1111-1-1-1-1-1-11-11
χ1611111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1111-1-11111-1-11-11-11-1-1-111-1-111-1-1-1-111-11-111-1-11111-11-1
χ17222222−1−52−1+522−1−52−1+522222222−1−52−1+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+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52000022−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000−1−52−1+52−1−52−1+520000000
χ18222222−1−52−1+522−1−52−1+522222222−1−52−1+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+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2002−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000-2-21+521−521+521−521+521−521+521−520000000001+521−521+521−520000000
χ19222222−1−52−1+522−1−52−1+5222-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52222200-21+521−52−1−52−1+521+521+521−521−52−1−52−1+520000-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000001+521−521+521−520000000
χ20222222−1−52−1+522−1−52−1+5222-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-2-200-21+521−52−1−52−1+521+521+521−521−52−1−52−1+520000221+521−521+521−521+521−521+521−52000000000−1−52−1+52−1−52−1+520000000
χ21222222−1−52−1+522−1−52−1+52-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−52-2221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-22-200-21+521−521+521−521+521+521−521−521+521−5200002-2−1−52−1+521+521−52−1−52−1+521+521−52000000000−1−52−1+521+521−520000000
χ22222222−1−52−1+522−1−52−1+52-2-222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−52-2221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-2200-21+521−521+521−521+521+521−521−521+521−520000-221+521−52−1−52−1+521+521−52−1−52−1+520000000001+521−52−1−52−1+520000000
χ23222222−1−52−1+522−1−52−1+52-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521−52-2-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-22-2002−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521−520000-22−1−52−1+521+521−52−1−52−1+521+521−520000000001+521−52−1−52−1+520000000
χ24222222−1−52−1+522−1−52−1+52-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-21+521−52-2-2-21+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-22002−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521−5200002-21+521−52−1−52−1+521+521−52−1−52−1+52000000000−1−52−1+521+521−520000000
χ25222222−1+52−1−522−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52000022−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000−1+52−1−52−1+52−1−520000000
χ26222222−1+52−1−522−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2002−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000-2-21−521+521−521+521−521+521−521+520000000001−521+521−521+520000000
χ27222222−1+52−1−522−1+52−1−5222-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52222200-21−521+52−1+52−1−521−521−521+521+52−1+52−1−520000-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000001−521+521−521+520000000
χ28222222−1+52−1−522−1+52−1−5222-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2-200-21−521+52−1+52−1−521−521−521+521+52−1+52−1−520000221−521+521−521+521−521+521−521+52000000000−1+52−1−52−1+52−1−520000000
χ29222222−1+52−1−522−1+52−1−52-2-222222−1+52−1−52−1+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+52-2221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-200-21−521+521−521+521−521−521+521+521−521+5200002-2−1+52−1−521−521+52−1+52−1−521−521+52000000000−1+52−1−521−521+520000000
χ30222222−1+52−1−522−1+52−1−52-2-222222−1+52−1−52−1+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+52-2221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-2200-21−521+521−521+521−521−521+521+521−521+520000-221−521+52−1+52−1−521−521+52−1+52−1−520000000001−521+52−1+52−1−520000000
χ31222222−1+52−1−522−1+52−1−52-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521+52-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-2002−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+520000-22−1+52−1−521−521+52−1+52−1−521−521+520000000001−521+52−1+52−1−520000000
χ32222222−1+52−1−522−1+52−1−52-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-21−521+52-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-22002−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+5200002-21−521+52−1+52−1−521−521+52−1+52−1−52000000000−1+52−1−521−521+520000000
χ3322222-122-1222222-1-1-1222222-1-1-1-1-1-1-1-12-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000-122-1-1-1-1-1-1-1-12222000000000000022-1-1-1-100000000-1-10
χ3422222-122-1222222-1-1-1222222-1-1-1-1-1-1-1-12-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000-122-1-1-1-1-1-1-1-1-2-2-2-20000000000000-2-2111100000000110
χ3522222-122-12222-2-2-1-1-1222222-1-1-1-1-1-1-1-1-2-122-11122-2-2-2-2-1-1-1-1111111110000001-2-2-1-11111-1-122220000000000000-2-2-1-1-1-100000000110
χ3622222-122-12222-2-2-1-1-1222222-1-1-1-1-1-1-1-1-2-122-11122-2-2-2-2-1-1-1-1111111110000001-2-2-1-11111-1-1-2-2-2-2000000000000022111100000000-1-10
χ3722222-122-122-2-222-1-1-1222222-1-1-1-1-1-1-1-1-21-2-21-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000001-2-2111111112-22-200000000000002-2-11-1100000000-110
χ3822222-122-122-2-222-1-1-1222222-1-1-1-1-1-1-1-1-21-2-21-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000001-2-211111111-22-220000000000000-221-11-1000000001-10
χ3922222-122-122-2-2-2-2-1-1-1222222-1-1-1-1-1-1-1-121-2-2111-2-2-2-2-2-2-1-1-1-111111111000000-12211-1-1-1-1112-22-20000000000000-22-11-11000000001-10
χ4022222-122-122-2-2-2-2-1-1-1222222-1-1-1-1-1-1-1-121-2-2111-2-2-2-2-2-2-1-1-1-111111111000000-12211-1-1-1-111-22-2200000000000002-21-11-100000000-110
χ41222-2-22222220000-22-2-2-22-22-222-2-2-2-22200000000000002-22-200000000020-222000000000000-20200002200-2-22-2-2000-20200000000000
χ42222-2-22222220000-22-2-2-22-22-222-2-2-2-22200000000000002-22-200000000020-2-2-200000000000020-200002200-2-2-22200020-200000000000
χ43222-2-22222220000-22-2-2-22-22-222-2-2-2-22200000000000002-22-2000000000-2022200000000000020-20000-2-200222-2-200020-200000000000
χ44222-2-22222220000-22-2-2-22-22-222-2-2-2-22200000000000002-22-2000000000-202-2-2000000000000-2020000-2-20022-222000-20200000000000
χ4522-22-22222220000-2-22-2-2-22-2222-2-2-2-2220000000000000-22-220000000020-202200000000000-2020002200-2-200-22-200-202000000000000
χ4622-22-22222220000-2-22-2-2-22-2222-2-2-2-2220000000000000-22-220000000020-20-2-20000000000020-20002200-2-2002-220020-2000000000000
χ4722-22-22222220000-2-22-2-2-22-2222-2-2-2-2220000000000000-22-2200000000-2020220000000000020-2000-2-2002200-22-20020-2000000000000
χ4822-22-22222220000-2-22-2-2-22-2222-2-2-2-2220000000000000-22-2200000000-2020-2-200000000000-202000-2-20022002-2200-202000000000000
χ4922-2-222222222-2002-2-222-2-2-2-2222222220222-200-2-20000-2-2-2-200000000000022000220000-2-200000000000000-2-220000000000-2002000
χ5022-2-222222222-2002-2-222-2-2-2-2222222220222-200-2-20000-2-2-2-2000000000000-2-2000220000-2-20000000000000022-20000000000200-2000
χ5122-2-22222222-22002-2-222-2-2-2-2222222220-2-2-2200220000-2-2-2-200000000000022000-2-200002200000000000000-2-220000000000200-2000
χ5222-2-22222222-22002-2-222-2-2-2-2222222220-2-2-2200220000-2-2-2-2000000000000-2-2000-2-20000220000000000000022-20000000000-2002000
χ5344444-2−1−5−1+5-2−1−5−1+54444-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−524-2−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−52000000-2−1−5−1+51+521−521+521+521−521−521+521−520000000000000000000000000000000000
χ5444444-2−1−5−1+5-2−1−5−1+544-4-4-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−52-4-2−1−5−1+5-222−1−5−1+51+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000021+51−51+521−52−1−52−1−52−1+52−1+521+521−520000000000000000000000000000000000
χ5544444-2−1−5−1+5-2−1−5−1+5-4-444-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−52-421+51−52-2-21+51−5−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−5200000021+51−5−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000000000000000000000000000000000
χ5644444-2−1−5−1+5-2−1−5−1+5-4-4-4-4-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521−521−521+521−52421+51−52221+51−51+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2−1−5−1+5−1−52−1+521+521+521−521−52−1−52−1+520000000000000000000000000000000000
χ5744444-2−1+5−1−5-2−1+5−1−54444-2-2-2−1+5−1−5−1+5−1+5−1−5−1−51−521+521−521−521+521+521−521+524-2−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−51−521−521+521+521−521−521−521−521+521+521+521+52000000-2−1+5−1−51−521+521−521−521+521+521−521+520000000000000000000000000000000000
χ5844444-2−1+5−1−5-2−1+5−1−544-4-4-2-2-2−1+5−1−5−1+5−1+5−1−5−1−51−521+521−521−521+521+521−521+52-4-2−1+5−1−5-222−1+5−1−51−51−51+51+51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000021−51+51−521+52−1+52−1+52−1−52−1−521−521+520000000000000000000000000000000000
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χ8344-4-44-2−1+5−1−5-2−1+5−1−54-400-222−1+5−1−51−51−51+51+51−521+521−521−521+521+521−521+520-2−1+5−1−52001−51+50000−1+52−1+52−1−52−1−52−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ460000000001−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−1+52−1−520000000000000000000000000000000000
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χ1058-8000-4−2+25−2−2542−252+25004i−4i0000000001−51+5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−500000−2i2i00−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900002ζ43+2ζ47−2ζ43−2ζ472ζ7+2ζ23−2ζ7−2ζ232ζ31+2ζ59−2ζ31−2ζ592ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000000000000
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χ1088-8000-4−2+25−2−2542−252+2500−4i4i0000000001−51+52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−5000002i−2i002ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−2ζ7−2ζ232ζ7+2ζ23−2ζ43−2ζ472ζ43+2ζ47−2ζ11−2ζ192ζ11+2ζ19−2ζ31−2ζ592ζ31+2ζ59000000000000000000000000000000000000000000000000000

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