Finite Group Databasebeta

← Group #14425276

Character table — Group #14425276

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122222222244444444444444444444488888888888888888888888881212121215151616161616161616161616202020202424242424242424242430303040404040404048484848606060608080120
order12234455610104444610101212151520202020303030303030212121212202020202020202060606060606060606060606022444461010303030306060606022448810101010202020202246688121240404040224424244
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
χ51111111111111-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111111111-1-11111111111111-1-111-1-1-1-111-1-1-1-1-1
χ61111111111111-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ71111111111111-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-111-1
χ81111111111111-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11
χ911111111111-1-11111111111111111111-1-1-111-1-1-1-111111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-11-11-11-111-1-111-1-11111-11-11-111-1-1-1-1111-1-1
χ1011111111111-1-11111111111111111111-1-1-111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-111-1-111-1-1-1-1-1-11-11-1111-1-111-1-1-111
χ1111111111111-1-11111111111111111111-1-1-111-1-1-1-11111111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-111111-11-11-11-1-111-1-111-11-1
χ1211111111111-1-11111111111111111111-1-1-111-1-1-1-11111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1-111-1-111-1-1-11-11-11-1-1-11111-1-11-11
χ1311111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111111111-1-1-1-11-11-1-1111-1-111-1-11111-1-111-1-1-111-1-1-1-1-111
χ1411111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111111-1-1-1-1-11-11-1111-1-111-1-1-1-1-1-111-1-11-1-11111111-1-1
χ1511111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111111-1-1-1-1-11-111-1-1-111-1-111111-111-1-1111-1-1-1-1-1-11-11
χ1611111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-11111111-1-1-1-11-11-11-1-1-111-1-111-1-1-11-1-111-111-1-11111-11-1
χ17222222−1−52−1+522−1−52−1+5222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+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+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+5222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+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+52-2-2-2-2002−1−52−1+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+5222-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52222200-21+521−521+521+521−521−52−1−52−1−52−1+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+5222-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-2-2-200-21+521−521+521+521−521−52−1−52−1−52−1+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+52-2-2222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2221+521+521−521−52−1−52−1−52−1+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+52-2-2222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2221+521+521−521−52−1−52−1−52−1+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+52-2-2-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-22-2002−1−52−1+52−1−52−1−52−1+52−1+521+521+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+52-2-2-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-22-22002−1−52−1+52−1−52−1−52−1+52−1+521+521+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+52−1−5222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52−1−522222002−1+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+52−1−5222222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52−1−52-2-2-2-2002−1+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+52−1−5222-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52222200-21−521+521−521−521+521+52−1+52−1+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+52−1−5222-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2-2-200-21−521+521−521−521+521+52−1+52−1+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+52−1−52-2-2222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+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+52−1−52-2-2222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+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+52−1−52-2-2-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-22-2002−1+52−1−52−1+52−1+52−1−52−1−521−521−521+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+52−1−52-2-2-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22-22002−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200002-21−521+52−1+52−1−521−521+52−1+52−1−52000000000−1+52−1−521−521+520000000
χ332222-2-2222222-200222-2-222-2-2-2-222222202-2002-22-2000000000000-2-2-2-200002200000002-22-200000000000000-2-2200000000002-200000
χ342222-2-2222222-200222-2-222-2-2-2-222222202-2002-22-2000000000000-2-2-2-20000-2-200000002-22-20000000000000022-20000000000-2200000
χ352222-2-222222-2200222-2-222-2-2-2-22222220-2200-22-22000000000000-2-2-2-20000220000000-22-2200000000000000-2-220000000000-2200000
χ362222-2-222222-2200222-2-222-2-2-2-22222220-2200-22-22000000000000-2-2-2-20000-2-20000000-22-220000000000000022-200000000002-200000
χ37222-12222-1222222-122-1-1-1-12222-1-1-1-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000000-122-1-1-1-1-1-1-1-122220000000000000-1-122-1-100000000-1-10
χ38222-12222-1222222-122-1-1-1-12222-1-1-1-1-1-12-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000000-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000011-2-21100000000110
χ39222-12222-12222-2-2-122-1-1-1-12222-1-1-1-1-1-1-2-1-1112222-2-2-2-211111111-1-1-1-10000001-2-21111-1-1-1-122220000000000000-1-1-2-2-1-100000000110
χ40222-12222-12222-2-2-122-1-1-1-12222-1-1-1-1-1-1-2-1-1112222-2-2-2-211111111-1-1-1-10000001-2-21111-1-1-1-1-2-2-2-2000000000000011221100000000-1-10
χ41222-12222-122-2-222-122-1-1-1-12222-1-1-1-1-1-1-211-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000001-2-2111111112-22-20000000000000-112-2-1100000000-110
χ42222-12222-122-2-222-122-1-1-1-12222-1-1-1-1-1-1-211-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000001-2-211111111-22-2200000000000001-1-221-1000000001-10
χ43222-12222-122-2-2-2-2-122-1-1-1-12222-1-1-1-1-1-121111-2-2-2-2-2-2-2-211111111-1-1-1-1000000-122-1-1-1-111112-22-20000000000000-11-22-11000000001-10
χ44222-12222-122-2-2-2-2-122-1-1-1-12222-1-1-1-1-1-121111-2-2-2-2-2-2-2-211111111-1-1-1-1000000-122-1-1-1-11111-22-2200000000000001-12-21-100000000-110
χ4522-222-2222220000-2-2-22-2222-22-2-2-2-2-2220000000000000000000002-22-2020-222000000000000-20200002200-2-22-2-20-2000200000000000
χ4622-222-2222220000-2-2-22-2222-22-2-2-2-2-2220000000000000000000002-22-2020-2-2-200000000000020-200002200-2-2-22202000-200000000000
χ4722-222-2222220000-2-2-22-2222-22-2-2-2-2-2220000000000000000000002-22-20-2022200000000000020-20000-2-200222-2-202000-200000000000
χ4822-222-2222220000-2-2-22-2222-22-2-2-2-2-2220000000000000000000002-22-20-202-2-2000000000000-2020000-2-20022-2220-2000200000000000
χ4922-22-22222220000-2-2-2-2222-22-22-2-2-2-222000000000000000000000-22-2220-202200000000000-2020002200-2-200-22-2-20002000000000000
χ5022-22-22222220000-2-2-2-2222-22-22-2-2-2-222000000000000000000000-22-2220-20-2-20000000000020-20002200-2-2002-222000-2000000000000
χ5122-22-22222220000-2-2-2-2222-22-22-2-2-2-222000000000000000000000-22-22-2020220000000000020-2000-2-2002200-22-22000-2000000000000
χ5222-22-22222220000-2-2-2-2222-22-22-2-2-2-222000000000000000000000-22-22-2020-2-200000000000-202000-2-20022002-22-20002000000000000
χ534444-4-4−1−5−1+54−1−5−1+54-4004−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+504-400−1−51+5−1+51−50000000000001+51+51−51−50000000000000−1−51+5−1+51−50000000000000000000000000000000000
χ544444-4-4−1−5−1+54−1−5−1+5-44004−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+50-44001+5−1−51−5−1+50000000000001+51+51−51−500000000000001+5−1−51−5−1+50000000000000000000000000000000000
χ554444-4-4−1+5−1−54−1+5−1−54-4004−1+5−1−5-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−504-400−1+51−5−1−51+50000000000001−51−51+51+50000000000000−1+51−5−1−51+50000000000000000000000000000000000
χ564444-4-4−1+5−1−54−1+5−1−5-44004−1+5−1−5-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−50-44001−5−1+51+5−1−50000000000001−51−51+51+500000000000001−5−1+51+5−1−50000000000000000000000000000000000
χ57444-244−1−5−1+5-2−1−5−1+54444-2−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−524-2-2-2-2−1−5−1−5−1+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
χ58444-244−1−5−1+5-2−1−5−1+544-4-4-2−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−52-4-2-222−1−5−1−5−1+5−1+51+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−5200000021+51−5−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.