Finite Group Databasebeta

← Group #13101711

Character table — Group #13101711

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115
size111122222222222222222244444444444444444444444488888888888888888888888888888888820202020202020202020202020202020202020202020202040404040404040405050100200
order12224455551010101010101010101010105555101010101010101010101010202020202020202021010101010101010101010101010101010101010101010102020202020202020224488884040404040404040404040404040404010101010202020204424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111-1
χ922222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222002200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000−1+52−1+52−1−52−1−5200000000
χ1022222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-2-2001−521−521−521−521+521+521+521+52000000001−521−521+521+5200000000
χ1122222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−5222-2-2-2-2-21−521−521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200-2-2001−521−521−521−521+521+521+521+5200000000−1+52−1+52−1−52−1−5200000000
χ1222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−5222-2-2-2-2-21−521−521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2002200−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000001−521−521+521+5200000000
χ1322222222−1−52−1+522222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222002200−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000−1−52−1−52−1+52−1+5200000000
χ1422222222−1−52−1+522222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-2-2001+521+521+521+521−521−521−521−52000000001+521+521−521−5200000000
χ1522222222−1−52−1+522222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+5222-2-2-2-2-21+521+521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200-2-2001+521+521+521+521−521−521−521−5200000000−1−52−1−52−1+52−1+5200000000
χ1622222222−1−52−1+522222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+5222-2-2-2-2-21+521+521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2002200−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000001+521+521−521−5200000000
χ17222222−1+52−1−5222−1+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+52−1−5222−1+52−1−5222−1+52−1−522−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−520022002200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−1+52−1+52−1−52−1−520000
χ18222222−1+52−1−5222−1+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+52−1−5222−1+52−1−5222−1+52−1−522−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-200-2-2000000001−521−521−521−521+521+521+521+5200001−521−521+521+520000
χ19222222−1+52−1−5222−1+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+52−1−5222−1+52−1−5222−1+52−1−52-21−521−521+521+52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002200-2-2000000001−521−521−521−521+521+521+521+520000−1+52−1+52−1−52−1−520000
χ20222222−1+52−1−5222−1+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+52−1−5222−1+52−1−5222−1+52−1−52-21−521−521+521+52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2002200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+520000
χ21222222−1−52−1+5222−1−52−1−52−1+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+5222−1−52−1+5222−1−52−1+522−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+520022002200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−1−52−1−52−1+52−1+520000
χ22222222−1−52−1+5222−1−52−1−52−1+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+5222−1−52−1+5222−1−52−1+522−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5200-2-200-2-2000000001+521+521+521+521−521−521−521−5200001+521+521−521−520000
χ23222222−1−52−1+5222−1−52−1−52−1+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+5222−1−52−1+5222−1−52−1+52-21+521+521−521−52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002200-2-2000000001+521+521+521+521−521−521−521−520000−1−52−1−52−1+52−1+520000
χ24222222−1−52−1+5222−1−52−1−52−1+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+5222−1−52−1+5222−1−52−1+52-21+521+521−521−52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2002200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−520000
χ252222-2-222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000022-20
χ262222-2-222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000-2-220
χ2722-2-20022222-22-22-22-2-2-2-2-222222-22-22-22-2-2-2-2-20000000000000000000000000000000000000000000002−2i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000002i−2i00
χ2822-2-20022222-22-22-22-2-2-2-2-222222-22-22-22-2-2-2-2-20000000000000000000000000000000000000000000002−2−i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000−2i2i00
χ2922-2-20022222-22-22-22-2-2-2-2-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000000−22i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000−2i2i00
χ3022-2-20022222-22-22-22-2-2-2-2-222222-22-22-22-2-2-2-2-2000000000000000000000000000000000000000000000−22−i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000002i−2i00
χ312-22-22-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222-2-2-2-22200000000000000000000000002-22-22-22-2002-20000000000000000000000002-22-20000
χ322-22-22-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222-2-2-2-22200000000000000000000000002-22-22-22-200-22000000000000000000000000-22-220000
χ332-22-22-2−1+52−1−52221−521−521+521+52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+521−52−1−521+52−1+521−52−1−521+52002-2000000000000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ360000−1+521−52−1−521+520000
χ342-22-22-2−1+52−1−52221−521−521+521+52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−520ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+521−52−1−521+52−1+521−52−1−521+5200-22000000000000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3600001−52−1+521+52−1−520000
χ352-22-22-2−1+52−1−52221−521−521+521+52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+521−52−1−521+52−1+521−52−1−521+52002-2000000000000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ360000−1+521−52−1−521+520000
χ362-22-22-2−1+52−1−52221−521−521+521+52-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52221−521+52-2-2−1+52−1−520−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+521−52−1−521+52−1+521−52−1−521+5200-22000000000000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3600001−52−1+521+52−1−520000
χ372-22-22-2−1−52−1+52221+521+521−521−52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−521+52−1+521−52−1−521+52−1+521−52002-2000000000000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ280000−1−521+52−1+521−520000
χ382-22-22-2−1−52−1+52221+521+521−521−52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+520−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−521+52−1+521−52−1−521+52−1+521−5200-22000000000000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2800001+52−1−521−52−1+520000
χ392-22-22-2−1−52−1+52221+521+521−521−52-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52221+521−52-2-2−1−52−1+520ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−521+52−1+521−52−1−521+52−1+521−52002-2000000000000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ280000−1−521+52−1+521−520000
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χ10988-8-800−2+25−2−25−2−25−2+25−2+252−25−2−252+25−2−252+25−2+252−252+252−252−252+25-23+53−5-2-223+5−3−53−5−3+5-222−3−5−3+5200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-800−2−25−2+25−2+25−2−25−2−252+25−2+252−25−2+252−25−2−252+252−252+252+252−25-23−53+5-2-223−5−3+53+5−3−5-222−3+5−3−5200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-800−2−25−2+25−2−25−2+25−2−252+25−2+252−25−2−252+25−2+252−252+252−252+252−253+5-2-23−53+5−3−5-22-223−5−3+5−3−522−3+500000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800−2+25−2−25−2+25−2−252−25−2+252+25−2−252−25−2+252+25−2−252−252+252−252+253−5-2-23+5−3+53−52-22-2−3−53+5−3+522−3−500000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800−2+25−2−25−2−25−2+252−25−2+252+25−2−252+25−2−252−25−2+252+252−252−252+25-23+53−5-22-2−3−53+5−3+53−52-22−3−5−3+5200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800−2−25−2+25−2+25−2−252+25−2−252−25−2+252−25−2+252+25−2−252−252+252+252−25-23−53+5-22-2−3+53−5−3−53+52-22−3+5−3−5200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8800−2−25−2+25−2−25−2+252+25−2−252−25−2+252+25−2−252−25−2+252+252−252+252−253+5-2-23−5−3−53+52-22-2−3+53−5−3−522−3+500000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.