Finite Group Databasebeta

← Group #14458254

Character table — Group #14458254

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size112222222224444444444444444444888888888888888888888888881212121216161616161616161616162020202024242424242424242424303030304040404040404848484860608080120120
order122344556101044610101212151520202020303030303030441212121220202020202020206060606060606060606060602244122020606060606060606022448810101010202020208888668812124040404088242444
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
χ5111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111-1-111-1-111111-11-11-111-1-1111-1-1-1
χ6111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11-111-111-1-111-1-1-1-1-1-1-11-11-1111-1-1-1-1-1111
χ7111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1-111-1-111-1-1-1-11-11-11-1-1-111-1-11-111
χ8111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1111111-11-11-11-1-11111-11-1-1
χ911111111111-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1111111-1-1-1-11111-1111-1-111-1-111-1-111-1-111-1-1111-1-1-11-1
χ1011111111111-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-111-1-1-1-111-1111-11
χ1111111111111-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1111111-1-1-1-111111-1-1-111-1-111-1-11111-1-11111-1-1-11-1-1-11
χ1211111111111-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1111111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-111-1-111-1-11-1111-1
χ1311111111111-1-111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111111-11-1-1-11111111111-1-11-1-111-1-1-1-1-11-1-11-11
χ1411111111111-1-111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-11-11-1-111111111-1-111-111-1-11-1-1-1-1-111-11-1
χ1511111111111-1-111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111-11-111-1-1-1-1-1-1-1-1-1-1111-1-111-11111-11-111-1
χ1611111111111-1-111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111-11-1111-1-1-1-1-1-1-1-111-1-1-111-1-1111111-11-1-11
χ17222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+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+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+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+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2221+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+522-22-2-21+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
χ20222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2221+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+52-22-22-21+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
χ21222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-22-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000-22−1−52−1+521+521−52−1−52−1+521+521−5200000000001+521−52−1−52−1+52000000
χ22222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-22-22-2−1−52−1+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+520000000000−1−52−1+521+521−52000000
χ23222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52222221+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+5200000000001+521−521+521−52000000
χ24222222−1−52−1+522−1−52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-2-2-221+521−521+521+521−521−52−1−52−1−52−1+52−1+520000221+521−521+521−521+521−521+521−520000000000−1−52−1+52−1−52−1+52000000
χ25222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1+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+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1+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+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2221−521−521+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+52−1−52−1−522-22-2-21−521+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
χ28222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2221−521−521+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+52−1−52−1−52-22-22-21−521+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
χ29222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-22-2-2−1+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+5200000000001−521+52−1+52−1−52000000
χ30222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22-22-2−1+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+52−1−520000000000−1+52−1−521−521+52000000
χ31222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52222221−521+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+52−1−5200000000001−521+521−521+52000000
χ32222222−1+52−1−522−1+52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2-2-221−521+521−521−521+521+52−1+52−1+52−1−52−1−520000221−521+521−521+521−521+521−521+520000000000−1+52−1−52−1+52−1−52000000
χ33222-12222-12222-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000-122-1-1-1-1-1-1-1-1222200000000000000-1-122-1-1000000-1-100
χ34222-12222-12222-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000-122-1-1-1-1-1-1-1-1-2-2-2-20000000000000011-2-2110000001100
χ35222-12222-12222-122-1-1-1-12222-1-1-1-1-1-1-2-211-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-100001-2-2111111112-22-200000000000000-112-2-11000000-1100
χ36222-12222-12222-122-1-1-1-12222-1-1-1-1-1-1-2-211-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-100001-2-211111111-22-22000000000000001-1-221-10000001-100
χ37222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-12-2-1-111-2-2-2-2-2-2-2-211111111-1-1-1-10000122-1-1-1-11111222200000000000000-1-1-2-2-1-10000001100
χ38222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-12-2-1-111-2-2-2-2-2-2-2-211111111-1-1-1-10000122-1-1-1-11111-2-2-2-200000000000000112211000000-1-100
χ39222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-1-2211112222-2-2-2-211111111-1-1-1-10000-1-2-21111-1-1-1-12-22-200000000000000-11-22-110000001-100
χ40222-12222-122-2-2-122-1-1-1-12222-1-1-1-1-1-1-2211112222-2-2-2-211111111-1-1-1-10000-1-2-21111-1-1-1-1-22-22000000000000001-12-21-1000000-1100
χ4122-222-22222200-2-2-22-2222-22-2-2-2-2-22200000000000000000000002-22-2020-200000000000020-200002200-2-2002202000-200000-20000
χ4222-222-22222200-2-2-22-2222-22-2-2-2-2-22200000000000000000000002-22-2020-2000000000000-20200002200-2-200-2-20-200020000020000
χ4322-222-22222200-2-2-22-2222-22-2-2-2-2-22200000000000000000000002-22-20-20200000000000020-20000-2-2002200-2-202000-20000020000
χ4422-222-22222200-2-2-22-2222-22-2-2-2-2-22200000000000000000000002-22-20-202000000000000-2020000-2-2002200220-2000200000-20000
χ4522-22-222222200-2-2-2-2222-22-22-2-2-2-2220000000000000000000000-22-2220-200000000000020-20002200-2-20022002000-200000-200000
χ4622-22-222222200-2-2-2-2222-22-22-2-2-2-2220000000000000000000000-22-2220-2000000000000-2020002200-2-200-2-200-2000200000200000
χ4722-22-222222200-2-2-2-2222-22-22-2-2-2-2220000000000000000000000-22-22-20200000000000020-2000-2-2002200-2-2002000-200000200000
χ4822-22-222222200-2-2-2-2222-22-22-2-2-2-2220000000000000000000000-22-22-202000000000000-202000-2-20022002200-2000200000-200000
χ494444-4-44444400444-4-444-4-4-4-44444440000000000000000000000-4-4-4-40000000000000000000000000000000000000000000000000
χ504444-4-4−1−5−1+54−1−5−1+5004−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+5000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1160000000000001+51+51−51−500000000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1160000000000000000000000000000000000
χ514444-4-4−1−5−1+54−1−5−1+5004−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+50000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1160000000000001+51+51−51−5000000000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1160000000000000000000000000000000000
χ524444-4-4−1+5−1−54−1+5−1−5004−1+5−1−5-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−50000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ920000000000001−51−51+51+5000000000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ920000000000000000000000000000000000
χ534444-4-4−1+5−1−54−1+5−1−5004−1+5−1−5-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−5000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ920000000000001−51−51+51+500000000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ920000000000000000000000000000000000
χ54444-244−1−5−1+5-2−1−5−1+544-2−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−5244-2-2-2-2−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−520000-2−1−5−1+51+521+521−521−521+521+521−521−520000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.