Finite Group Databasebeta

← Group #14425754

Character table — Group #14425754

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size112222222224444444444444444444888888888888888888888888881212121216161616161616161616162020202024242424242424242424303030304040404040404848484860608080120120
order1222235561010246661010101010101515303030303030246661010101010101220203030303030303030303030302244122020303060606060606022444410101010202020204444446612122020202024121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1111111111111-1-11111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ8111111111111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1
χ911111111111-1-1111111111111111111-1-111-1-11111-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111-1-111-1-111111-11-11-111-1-1-1-11-11-1
χ1011111111111-1-1111111111111111111-1-111-1-11111-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11-111-111-1-111-1-1-1-1-1-1-11-11-1111-1-111-11-11
χ1111111111111-1-1111111111111111111-1-111-1-11111-1-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1-111-1-111-1-1-1-11-11-11-1-1-111111-1-11
χ1211111111111-1-1111111111111111111-1-111-1-11111-1-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1111111-11-11-11-1-111-1-1-111-1
χ1311111111111-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1111-1-1-1-111111-11-1-1111-1-111-1-11111-111-11-1-1-111-1-1-11-11
χ1411111111111-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1111-1-1-1-11111-11-11-1111-1-111-1-1-1-1-1-11-1-11-11-1-111111-11-1
χ1511111111111-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111111-11-11-1-1-111-1-111-1-1-1-1-111-11-111-1-111-111-1
χ1611111111111-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-11-111-1-1-111-1-11111111-1-11-1111-1-1-1-11-1-11
χ17222222−1+52−1−522−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1+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+52−1−520000000000−1+52−1−52−1+52−1−52000000
χ18222222−1+52−1−522−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000-2-21−521+521−521+521−521+521−521+5200000000001−521+521−521+52000000
χ19222222−1+52−1−522−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-2-2−1+52−1−521−521−521+521+522−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522222-21−521+52−1+52−1−52−1+52−1−521−521−521+521+520000-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000001−521+521−521+52000000
χ20222222−1+52−1−522−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-2-2−1+52−1−521−521−521+521+522−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2-2-21−521+52−1+52−1−52−1+52−1−521−521−521+521+520000221−521+521−521+521−521+521−521+520000000000−1+52−1−52−1+52−1−52000000
χ21222222−1+52−1−522−1+52−1−52-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2221−521+52−1+52−1+52−1−52−1−52-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-2-21−521+521−521+521−521+521−521−521+521+5200002-2−1+52−1−521−521+52−1+52−1−521−521+520000000000−1+52−1−521−521+52000000
χ22222222−1+52−1−522−1+52−1−52-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2221−521+52−1+52−1+52−1−52−1−52-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-22-21−521+521−521+521−521+521−521−521+521+520000-221−521+52−1+52−1−521−521+52−1+52−1−5200000000001−521+52−1+52−1−52000000
χ23222222−1+52−1−522−1+52−1−52-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2-21−521+521−521−521+521+52-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-22−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−520000-22−1+52−1−521−521+52−1+52−1−521−521+5200000000001−521+52−1+52−1−52000000
χ24222222−1+52−1−522−1+52−1−52-2-2222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2-21−521+521−521−521+521+52-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-222−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200002-21−521+52−1+52−1−521−521+52−1+52−1−520000000000−1+52−1−521−521+52000000
χ25222222−1−52−1+522−1−52−1+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+5222222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+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+520000000000−1−52−1+52−1−52−1+52000000
χ26222222−1−52−1+522−1−52−1+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+5222222−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+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+521−5200000000001+521−521+521−52000000
χ27222222−1−52−1+522−1−52−1+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+52-2-22-2-2−1−52−1+521+521+521−521−522−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522222-21+521−52−1−52−1+52−1−52−1+521+521+521−521−520000-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000001+521−521+521−52000000
χ28222222−1−52−1+522−1−52−1+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+52-2-22-2-2−1−52−1+521+521+521−521−522−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-2-2-21+521−52−1−52−1+52−1−52−1+521+521+521−521−520000221+521−521+521−521+521−521+521−520000000000−1−52−1+52−1−52−1+52000000
χ29222222−1−52−1+522−1−52−1+52-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2221+521−52−1−52−1−52−1+52−1+52-21+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+522-22-2-21+521−521+521−521+521−521+521+521−521−5200002-2−1−52−1+521+521−52−1−52−1+521+521−520000000000−1−52−1+521+521−52000000
χ30222222−1−52−1+522−1−52−1+52-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2221+521−52−1−52−1−52−1+52−1+52-21+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+52-22-22-21+521−521+521−521+521−521+521+521−521−520000-221+521−52−1−52−1+521+521−52−1−52−1+5200000000001+521−52−1−52−1+52000000
χ31222222−1−52−1+522−1−52−1+52-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-21+521−521+521+521−521−52-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-22-22−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+520000-22−1−52−1+521+521−52−1−52−1+521+521−5200000000001+521−52−1−52−1+52000000
χ32222222−1−52−1+522−1−52−1+52-2-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-21+521−521+521+521−521−52-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-222−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+5200002-21+521−52−1−52−1+521+521−52−1−52−1+520000000000−1−52−1+521+521−52000000
χ3322222-122-12222-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-10000-122-1-1-1-1-1-1-1-122220000000000000022-1-1-1-1000000-1-100
χ3422222-122-12222-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-10000-122-1-1-1-1-1-1-1-1-2-2-2-200000000000000-2-211110000001100
χ3522222-122-12222-1-1-1222222-1-1-1-1-1-1-1-1-2-2-11122-2-2-2-2-122-1-1-1-11111111100001-2-2-1-1-1-11111222200000000000000-2-2-1-1-1-10000001100
χ3622222-122-12222-1-1-1222222-1-1-1-1-1-1-1-1-2-2-11122-2-2-2-2-122-1-1-1-11111111100001-2-2-1-1-1-11111-2-2-2-200000000000000221111000000-1-100
χ3722222-122-122-2-2-1-1-1222222-1-1-1-1-1-1-1-12-21-1-1-2-222221-2-2-1-1-1-1-1-1-1-1-1-1-1-100001-2-2111111112-22-2000000000000002-2-11-11000000-1100
χ3822222-122-122-2-2-1-1-1222222-1-1-1-1-1-1-1-12-21-1-1-2-222221-2-2-1-1-1-1-1-1-1-1-1-1-1-100001-2-211111111-22-2200000000000000-221-11-10000001-100
χ3922222-122-122-2-2-1-1-1222222-1-1-1-1-1-1-1-1-22111-2-2-2-2-2-21-2-2-1-1-1-1111111110000-1221111-1-1-1-12-22-200000000000000-22-11-110000001-100
χ4022222-122-122-2-2-1-1-1222222-1-1-1-1-1-1-1-1-22111-2-2-2-2-2-21-2-2-1-1-1-1111111110000-1221111-1-1-1-1-22-22000000000000002-21-11-1000000-1100
χ41222-2-222222200-22-2-2-22-22-2222-2-22-2-2000000000000002-22-200000000020-200000000000020-200002200-2-222-2-200020-20000000000
χ42222-2-222222200-22-2-2-22-22-2222-2-22-2-2000000000000002-22-200000000020-2000000000000-20200002200-2-2-2-222000-2020000000000
χ43222-2-222222200-22-2-2-22-22-2222-2-22-2-2000000000000002-22-2000000000-20200000000000020-20000-2-20022-2-22200020-20000000000
χ44222-2-222222200-22-2-2-22-22-2222-2-22-2-2000000000000002-22-2000000000-202000000000000-2020000-2-2002222-2-2000-2020000000000
χ4522-22-222222200-2-22-2-2-22-22222-2-22-2-200000000000000-22-220000000020-200000000000020-20002200-2-2002-22-20020-200000000000
χ4622-22-222222200-2-22-2-2-22-22222-2-22-2-200000000000000-22-220000000020-2000000000000-2020002200-2-200-22-2200-20200000000000
χ4722-22-222222200-2-22-2-2-22-22222-2-22-2-200000000000000-22-2200000000-20200000000000020-2000-2-2002200-22-220020-200000000000
χ4822-22-222222200-2-22-2-2-22-22222-2-22-2-200000000000000-22-2200000000-202000000000000-202000-2-20022002-22-200-20200000000000
χ4922-2-222222222-22-2-222-2-2-2-22222222200200220000-2-2-2-2-2-2-200000000000000022-2-20000000000000000002-2-220000000000-220000
χ5022-2-222222222-22-2-222-2-2-2-22222222200200220000-2-2-2-2-2-2-200000000000000022-2-2000000000000000000-222-200000000002-20000
χ5122-2-22222222-222-2-222-2-2-2-22222222200-200-2-20000222-2-2-2-2000000000000000-2-2220000000000000000002-2-2200000000002-20000
χ5222-2-22222222-222-2-222-2-2-2-22222222200-200-2-20000222-2-2-2-2000000000000000-2-222000000000000000000-222-20000000000-220000
χ5344444-2−1+5−1−5-2−1+5−1−544-2-2-2−1+5−1−5−1+5−1+5−1−5−1−51−521+521−521−521−521+521+521+5244-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5-2−1+5−1−51−521−521+521+521−521−521−521−521+521+521+521+520000-2−1+5−1−51−521+521−521+521−521−521+521+520000000000000000000000000000000000
χ5444444-2−1+5−1−5-2−1+5−1−544-2-2-2−1+5−1−5−1+5−1+5−1−5−1−51−521+521−521−521−521+521+521+52-4-4-222−1+5−1−51−51−51+51+5-2−1+5−1−51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000021−51+51−521+521−521+52−1+52−1+52−1−52−1−520000000000000000000000000000000000
χ5544444-2−1+5−1−5-2−1+5−1−5-4-4-2-2-2−1+5−1−5−1+5−1+5−1−5−1−51−521+521−521−521−521+521+521+524-42-2-21−51+5−1+5−1+5−1−5−1−521−51+51−521−521+521+521−521−521−521−521+521+521+521+52000021−51+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+5−1−5-4-4-2-2-2−1+5−1−5−1+5−1+5−1−5−1−51−521+521−521−521−521+521+521+52-442221−51+51−51−51+51+521−51+51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2−1+5−1−5−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000
χ5744444-2−1−5−1+5-2−1−5−1+544-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521+521−521−521−5244-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5-2−1−5−1+51+521+521−521−521+521+521+521+521−521−521−521−520000-2−1−5−1+51+521−521+521−521+521+521−521−520000000000000000000000000000000000
χ5844444-2−1−5−1+5-2−1−5−1+544-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521+521+521−521−521−52-4-4-222−1−5−1+51+51+51−51−5-2−1−5−1+51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000021+51−51+521−521+521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.