Finite Group Databasebeta

← Group #14457787

Character table — Group #14457787

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222222224444444444444444888888888888888888888888812121212161616161616161616161616202020202424242424242424242440404040404048484848606060608080120120
order1223445566610101010121215152020202030303030303024412122020202020202020606060606060606060606060224461010123030303060606060888888101010102020202022242424244040404022446688
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111-11111-1-1-1-111-1-11-111-1-111-1-11-111-1-111-1-111111-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111-11111-1-1-1-1-1-1111-111-1-111-1-1-11-1-11111-1-1-1-1-1-1-1111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111-11111-1-1-1-111-1-1-11-1-111-1-1111-111-1-1-1-111-1-1-1-11-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111-11111-1-1-1-1-1-111-11-1-111-1-111-11-1-111-1-1111111-11-1-1
χ911111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1-1111111-1-1-1-111111111-1111-1-1-1-1-1-11-11-1-111-1
χ1011111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1-11111-1-111-1-1111111111-1-1-111-1-1-1-1-11-111-1-11
χ1111111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1111-1-11111-11-11-11-11
χ1211111111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-11111111-11-11-11-1
χ1311111111111111111111111111111-1-1111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-11111-1-1111-11-1-1-1-11
χ1411111111111111111111111111111-1-1111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-111-11-11111-1
χ1511111111111111111111111111111-1-1111-1-1-1-11111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-1111111-1-1-11-11-1-11-1
χ1611111111111111111111111111111-1-1111-1-1-1-11111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-111-1-11-11-111-11
χ17222222−1−52−1+52222−1−52−1+52−1−52−1+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+5222222−1−52−1+522−1−52−1−52−1+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+52000000−1−52−1+52−1−52−1+5200000000
χ18222222−1−52−1+52222−1−52−1+52−1−52−1+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+52-2-2-2-22−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-21+521−521+521−521+521−521+521−520000001+521−521+521−5200000000
χ19222222−1−52−1+52222−1−52−1+52−1−52−1+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+522-22-22−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−5200002-2−1−52−1+521+521−52−1−52−1+521+521−52000000−1−52−1+521+521−5200000000
χ20222222−1−52−1+52222−1−52−1+52−1−52−1+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+52-22-222−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−520000-221+521−52−1−52−1+521+521−52−1−52−1+520000001+521−52−1−52−1+5200000000
χ21222222−1−52−1+52222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522222-21+521−5221+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+520000001+521−521+521−5200000000
χ22222222−1−52−1+52222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-2-2-2-21+521−5221+521+521−521−52−1−52−1−52−1+52−1+520000221+521−521+521−521+521−521+521−52000000−1−52−1+52−1−52−1+5200000000
χ23222222−1−52−1+52222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22221+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+522-22-2-21+521−52-21+521+521−521−521+521+521−521−520000-22−1−52−1+521+521−52−1−52−1+521+521−520000001+521−52−1−52−1+5200000000
χ24222222−1−52−1+52222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22221+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+52-22-22-21+521−52-21+521+521−521−521+521+521−521−5200002-21+521−52−1−52−1+521+521−52−1−52−1+52000000−1−52−1+521+521−5200000000
χ25222222−1+52−1−52222−1+52−1−52−1+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+52−1−52−1−5222222−1+52−1−522−1+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+52−1−52000000−1+52−1−52−1+52−1−5200000000
χ26222222−1+52−1−52222−1+52−1−52−1+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+52−1−52−1−52-2-2-2-22−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-21−521+521−521+521−521+521−521+520000001−521+521−521+5200000000
χ27222222−1+52−1−52222−1+52−1−52−1+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+52−1−52−1−522-22-22−1+52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+5200002-2−1+52−1−521−521+52−1+52−1−521−521+52000000−1+52−1−521−521+5200000000
χ28222222−1+52−1−52222−1+52−1−52−1+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+52−1−52−1−52-22-222−1+52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+520000-221−521+52−1+52−1−521−521+52−1+52−1−520000001−521+52−1+52−1−5200000000
χ29222222−1+52−1−52222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522222-21−521+5221−521−521+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+52−1−520000001−521+521−521+5200000000
χ30222222−1+52−1−52222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2-2-2-21−521+5221−521−521+521+52−1+52−1+52−1−52−1−520000221−521+521−521+521−521+521−521+52000000−1+52−1−52−1+52−1−5200000000
χ31222222−1+52−1−52222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22221−521−521+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+52−1−52−1−522-22-2-21−521+52-21−521−521+521+521−521−521+521+520000-22−1+52−1−521−521+52−1+52−1−521−521+520000001−521+52−1+52−1−5200000000
χ32222222−1+52−1−52222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22221−521−521+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+52−1−52−1−52-22-22-21−521+52-21−521−521+521+521−521−521+521+5200002-21−521+52−1+52−1−521−521+52−1+52−1−52000000−1+52−1−521−521+5200000000
χ33222-12222-1-1-12222-1-1-1-12222-1-1-1-1-1-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000-122-1-1-1-1-1-1-1-1-12222000000000022-1-1-1-100000000-1-100
χ34222-12222-1-1-12222-1-1-1-12222-1-1-1-1-1-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000-122-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-21111000000001100
χ35222-12222-1-1-12222-1-1-1-12222-1-1-1-1-1-12-2-211-2-2-2-2-2-2-2-211111111-1-1-1-10000-1221-1-1-1-1111122-2-200000000002-2-1-11100000000-1100
χ36222-12222-1-1-12222-1-1-1-12222-1-1-1-1-1-12-2-211-2-2-2-2-2-2-2-211111111-1-1-1-10000-1221-1-1-1-11111-2-2220000000000-2211-1-1000000001-100
χ37222-12222-1-1-12222-1-1-1-12222-1-1-1-1-1-1-22-2112222-2-2-2-211111111-1-1-1-100001-2-2-11111-1-1-1-122-2-20000000000-22-1-111000000001-100
χ38222-12222-1-1-12222-1-1-1-12222-1-1-1-1-1-1-22-2112222-2-2-2-211111111-1-1-1-100001-2-2-11111-1-1-1-1-2-22200000000002-211-1-100000000-1100
χ39222-12222-1-1-12222-1-1-1-12222-1-1-1-1-1-1-2-22-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-100001-2-211111111122220000000000-2-2-1-1-1-1000000001100
χ40222-12222-1-1-12222-1-1-1-12222-1-1-1-1-1-1-2-22-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-100001-2-2111111111-2-2-2-2000000000022111100000000-1-100
χ4122-222-222-2-2222-2-22-2222-22-2-2-2-2-2220000000000000000000002-22-2020-2000000000000002-200002200-2-200002-20000020-20000
χ4222-222-222-2-2222-2-22-2222-22-2-2-2-2-2220000000000000000000002-22-2020-200000000000000-2200002200-2-20000-2200000-2020000
χ4322-222-222-2-2222-2-22-2222-22-2-2-2-2-2220000000000000000000002-22-20-202000000000000002-20000-2-2002200002-200000-2020000
χ4422-222-222-2-2222-2-22-2222-22-2-2-2-2-2220000000000000000000002-22-20-20200000000000000-220000-2-200220000-220000020-20000
χ4522-22-2222-2-2222-2-2-2222-22-22-2-2-2-222000000000000000000000-22-2220-200000000000002-200002200-2-200002-200000020-200000
χ4622-22-2222-2-2222-2-2-2222-22-22-2-2-2-222000000000000000000000-22-2220-20000000000000-2200002200-2-20000-22000000-20200000
χ4722-22-2222-2-2222-2-2-2222-22-22-2-2-2-222000000000000000000000-22-22-20200000000000002-20000-2-2002200002-2000000-20200000
χ4822-22-2222-2-2222-2-2-2222-22-22-2-2-2-222000000000000000000000-22-22-2020000000000000-220000-2-200220000-2200000020-200000
χ494444-4-4444444444-4-444-4-4-4-4444444000000000000000000000-4-4-4-4000000000000000000000000000000000000000000000000
χ504444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+500000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000001+51+51−51−5000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000000000000000
χ514444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+5000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000001+51+51−51−50000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000000000000000
χ524444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−5000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000001−51−51+51+50000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000000000000000
χ534444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−500000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000001−51−51+51+5000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000000000000000
χ54444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−52444-2-2−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−520000-2−1−5−1+5-21+521+521−521−521+521+521−521−5200000000000000000000000000000000
χ55444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−524-4-4221+51+51−51−51+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−520000-2−1−5−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.