Finite Group Databasebeta

← Group #14458240

Character table — Group #14458240

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122222222244444444444444444444488888888888888888888888881212161616161616161616161620202424242424242424242424303030304040404040404048484848606060608080120
order1223445561010244461010121215152020202030306060606068101012121220202020202030306060606060606060606024243030404060601201201201202444810102020202020208888446812121220204040248812248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ51111111111111-1-1111111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111-1-111111111-1-1111-11-1111-1-1-1-1-1-1-11-1-11
χ61111111111111-1-1111111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-11-1-11111111111-1-1-11-11-1-1-1-1-1-1-1111-111-1
χ71111111111111-1-1111111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-111-1-1-1-1-1-1-1-111-1-11-11-11111111111-1-1-1-1
χ81111111111111-1-1111111111111111111-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-11-1-1-11111-1-1-11111
χ911111111111-1-11111111111111111111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-111-11-1
χ1011111111111-1-11111111111111111111-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11-11
χ1111111111111-1-11111111111111111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-1-111
χ1211111111111-1-11111111111111111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-11111-1-1-1-1111-1-1
χ1311111111111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1111111-11-11111-1-1-1-1-1-111-111-11-1-111-1-111-111-1-1
χ1411111111111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-11-11111-1-1-1-111-1-11-1-11-11111-1-1-1-11-1-111
χ1511111111111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-11-1-1-1-1111111-1-1-111-11-1-1-1-111-1-11-11-11
χ1611111111111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-11-11-1-1-1-11111-1-1111-1-11-111-1-11111-11-11-1
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+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+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000−1−52−1+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+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+52-2-22−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521−521+521−521+521+521−521−52000000000001+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+522-2−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2−1−52−1+521+521−52−1−52−1+521+521+521−521−52002-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000001+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+522-2−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2−1−52−1+521+521−52−1−52−1+521+521+521−521−5200-2221+521−521+521−521+521+521−521−5200000000000−1−52−1+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+52-2-21+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+5222-21+521−521+521−521+521−521+521+521−521−5200-2-22−1−52−1+52−1−52−1+521+521+521−521−52000000000001+521−52−1−52−1+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+52-2-21+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+52-2-2-21+521−521+521−521+521−521+521+521−521−520022-21+521−521+521−52−1−52−1−52−1+52−1+5200000000000−1−52−1+521+521−520000000
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+52-221+521−52-2-2-21+521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522221+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+5200-22-2−1−52−1+52−1−52−1+521+521+521−521−5200000000000−1−52−1+521+521−520000000
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+52-221+521−52-2-2-21+521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-221+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52002-221+521−521+521−52−1−52−1−52−1+52−1+52000000000001+521−52−1−52−1+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+52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000−1+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+52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52-2-22−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521+521−521+521−521−521+521+52000000000001−521+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+52−1−52−1−522-2−1+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+5222-2−1+52−1−521−521+52−1+52−1−521−521−521+521+52002-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000001−521+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+52−1−52−1−522-2−1+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+52-2-2-2−1+52−1−521−521+52−1+52−1−521−521−521+521+5200-2221−521+521−521+521−521−521+521+5200000000000−1+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+52−1−52−1−52-2-21−521+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+52−1−52−1−52−1−52−1−5222-21−521+521−521+521−521+521−521−521+521+5200-2-22−1+52−1−52−1+52−1−521−521−521+521+52000000000001−521+52−1+52−1−520000000
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+52−1−52−1−52-2-21−521+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+52−1−52−1−52−1−52−1−52-2-2-21−521+521−521+521−521+521−521−521+521+520022-21−521+521−521+52−1+52−1+52−1−52−1−5200000000000−1+52−1−521−521+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+52−1−52−1−52-221−521+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+522221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−5200-22-2−1+52−1−52−1+52−1−521−521−521+521+5200000000000−1+52−1−521−521+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+52−1−52−1−52-221−521+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+52-2-221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52002-221−521+521−521+52−1+52−1+52−1−52−1−52000000000001−521+52−1+52−1−520000000
χ33222-12222-1222222-122-1-1-1-12222-1-1-1-1-1-1-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-1-1-122-1-1-1-1-1-12200000000000000022-12-1-1-100000000-1-10
χ34222-12222-1222222-122-1-1-1-12222-1-1-1-1-1-1-1222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-1-1-122-1-1-1-1-1-1-2-2000000000000000-2-21-211100000000110
χ35222-12222-12222-2-2-122-1-1-1-12222-1-1-1-1-1-1-1-222-11122-2-2-2-2-1-1-1-111111111001-1-1-2-2-1-11111220000000000000002-2-1-2-1-1-100000000110
χ36222-12222-12222-2-2-122-1-1-1-12222-1-1-1-1-1-1-1-222-11122-2-2-2-2-1-1-1-111111111001-1-1-2-2-1-11111-2-2000000000000000-221211100000000-1-10
χ37222-12222-122-2-222-122-1-1-1-12222-1-1-1-1-1-11-2-2-21-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-100111-2-211111122000000000000000-2-2-12-111000000001-10
χ38222-12222-122-2-222-122-1-1-1-12222-1-1-1-1-1-11-2-2-21-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-100111-2-2111111-2-2000000000000000221-21-1-100000000-110
χ39222-12222-122-2-2-2-2-122-1-1-1-12222-1-1-1-1-1-112-2-2111-2-2-2-2-2-2-1-1-1-11111111100-1112211-1-1-1-122000000000000000-22-1-2-11100000000-110
χ40222-12222-122-2-2-2-2-122-1-1-1-12222-1-1-1-1-1-112-2-2111-2-2-2-2-2-2-1-1-1-11111111100-1112211-1-1-1-1-2-20000000000000002-2121-1-1000000001-10
χ4122-222-2222222-200-2-2-2-2222-2-22222-2-2-2-22022-200-2-20000-2-222000000000002200-2-2000000000000000002200000000000002-2-20000
χ4222-222-2222222-200-2-2-2-2222-2-22222-2-2-2-22022-200-2-20000-2-222000000000002200-2-200000000000000000-2-20000000000000-2220000
χ4322-222-222222-2200-2-2-2-2222-2-22222-2-2-2-2-20-2-2200220000-2-22200000000000-2-2002200000000000000000220000000000000-22-20000
χ4422-222-222222-2200-2-2-2-2222-2-22222-2-2-2-2-20-2-2200220000-2-22200000000000-2-2002200000000000000000-2-200000000000002-220000
χ4522-22-22222220000-2-2-22-22222-2-22222220000000000000-2-2-2-2000000002-2000000000002-200022-2-2000000220020-2000000000-2000
χ4622-22-22222220000-2-2-22-22222-2-22222220000000000000-2-2-2-2000000002-200000000000-2200022-2-2000000-2-200-2020000000002000
χ4722-22-22222220000-2-2-22-22222-2-22222220000000000000-2-2-2-200000000-22000000000002-2000-2-222000000-2-20020-20000000002000
χ4822-22-22222220000-2-2-22-22222-2-22222220000000000000-2-2-2-200000000-2200000000000-22000-2-2220000002200-202000000000-2000
χ494444-4-4444440000444-4-444-4-4-4-444-4-4-4-4000000000000044-4-400000000000000000000000000000000000000000000000000000000
χ504444-4-4−1−5−1+54−1−5−1+500004−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1+51+51+51−51−50000000000000−1−5−1+51+51−5000000000000000000000000000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1160000000000000000000000
χ514444-4-4−1−5−1+54−1−5−1+500004−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1+51+51+51−51−50000000000000−1−5−1+51+51−50000000000000000000000000000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1160000000000000000000000
χ524444-4-4−1+5−1−54−1+5−1−500004−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1−51−51−51+51+50000000000000−1+5−1−51−51+50000000000000000000000000000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ920000000000000000000000
χ534444-4-4−1+5−1−54−1+5−1−500004−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1−51−51−51+51+50000000000000−1+5−1−51−51+5000000000000000000000000000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ920000000000000000000000
χ54444-244−1−5−1+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+521−521−52-24−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−5200-21+521−52−1−5−1+51+521−521+521+521−521−5200000000000000000000000000000000000
χ55444-244−1−5−1+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+521−521−52-2-4−1−5−1+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+520021+521−521+51−51+521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.