Finite Group Databasebeta

← Group #13100713

Character table — Group #13100713

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111222222222222222222444444444444444444444444888888888888888888888888888888888202020202020202020202020202020202020202040404040404040404040100100200
order12224455551010101010101010101010105555101010101010101010101010202020202020202042020202020202020202020202020202020202020202020202020202020202020448820202020202020204040404040404040442020202020202020884
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ922222222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000200000−1+52−1+52−1−52−1−52000
χ1022222222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2001−521−521+521+521−521−521+521+5200000000-2000001−521−521+521+52000
χ1122222222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522200−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2000001−521−521+521+52000
χ1222222222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-2001−521−521+521+521−521−521+521+5200000000200000−1+52−1+52−1−52−1−52000
χ1322222222−1−52−1+5222−1−52−1+5222−1−52−1+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+52−1−52−1−52−1+52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+522200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000200000−1−52−1−52−1+52−1+52000
χ1422222222−1−52−1+5222−1−52−1+5222−1−52−1+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+52−1−52−1−52−1+52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2001+521+521−521−521+521+521−521−5200000000-2000001+521+521−521−52000
χ1522222222−1−52−1+5222−1−52−1+5222−1−52−1+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+52−1−52−1−52−1+52−1+522222-2-2-2-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522200−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2000001+521+521−521−52000
χ1622222222−1−52−1+5222−1−52−1+5222−1−52−1+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+52−1−52−1−52−1+52−1+522222-2-2-2-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2001+521+521−521−521+521+521−521−5200000000200000−1−52−1−52−1+52−1+52000
χ17222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+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+52−1−522222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52002200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5202−1+52−1+52−1−52−1−520000000
χ18222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+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+52−1−522222−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5200-2-2000000001−521−521−521−521+521+521+521+520-21−521−521+521+520000000
χ19222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+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+52−1−522222−1+52−1−52−1+52−1−52-21−521−521+521+52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52002200000000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520-21−521−521+521+520000000
χ20222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+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+52−1−522222−1+52−1−52−1+52−1−52-21−521−521+521+52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200-2-2000000001−521−521−521−521+521+521+521+5202−1+52−1+52−1−52−1−520000000
χ21222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+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+522222−1−52−1+52−1−52−1+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+52002200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5202−1−52−1−52−1+52−1+520000000
χ22222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+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+522222−1−52−1+52−1−52−1+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+5200-2-2000000001+521+521+521+521−521−521−521−520-21+521+521−521−520000000
χ23222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+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+522222−1−52−1+52−1−52−1+52-21+521+521−521−52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52002200000000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520-21+521+521−521−520000000
χ24222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+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+522222−1−52−1+52−1−52−1+52-21+521+521−521−52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200-2-2000000001+521+521+521+521−521−521−521−5202−1−52−1−52−1+52−1+520000000
χ252222-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2000000000-2-2-2-2-2-2-2-200000000000000002-2002222-2-2-2-2000000000000000000000
χ262222-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2000000000-2-2-2-2-2-2-2-20000000000000000-2200-2-2-2-22222000000000000000000000
χ272222-2-222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−521−521−521+521+52-2-2-2-200000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521−521−521+521+521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ362-200−1+52−1+52−1−52−1−521−521−521+521+5200000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000
χ282222-2-222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−521−521−521+521+52-2-2-2-200000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521−521−521+521+521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−5200000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000
χ292222-2-222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−521−521−521+521+52-2-2-2-200000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521−521−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ362-200−1+52−1+52−1−52−1−521−521−521+521+5200000000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000
χ302222-2-222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−521−521−521+521+52-2-2-2-200000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521−521−521+521+521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−5200000000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000
χ312222-2-222−1−52−1+5222−1−52−1+5222−1−52−1+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+521+521+521−521−52-2-2-2-200000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ282-200−1−52−1−52−1+52−1+521+521+521−521−5200000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000
χ322222-2-222−1−52−1+5222−1−52−1+5222−1−52−1+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+521+521+521−521−52-2-2-2-200000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521+521+521−521−521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+5200000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000
χ332222-2-222−1−52−1+5222−1−52−1+5222−1−52−1+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+521+521+521−521−52-2-2-2-200000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521+521+521−521−521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ282-200−1−52−1−52−1+52−1+521+521+521−521−5200000000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000
χ342222-2-222−1−52−1+5222−1−52−1+5222−1−52−1+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+521+521+521−521−52-2-2-2-200000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521+521+521−521−521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+5200000000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000
χ352-2-222-22222-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-22-22-2-2-2220000000002-22-22-22-200000000000000000000000000000000000000000000002i−2i0
χ362-2-222-22222-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-22-22-2-2-2220000000002-22-22-22-20000000000000000000000000000000000000000000000−2i2i0
χ372-2-22-222222-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-2-22-2222-2-2000000000-22-22-22-220000000000000000002i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000
χ382-2-22-222222-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-2-22-2222-2-2000000000-22-22-22-22000000000000000000−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000
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χ1108-88-800−2+25−2−25−2−25−2+25−2+25−2−252+252−252−252+252+252−252−252+25−2−25−2+25-23+53−5-2-23+53−5-22−3−5−3+522−3−5−3+5200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800−2−25−2+25−2+25−2−25−2−25−2+252−252+252+252−252−252+252+252−25−2+25−2−25-23−53+5-2-23−53+5-22−3+5−3−522−3+5−3−5200000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800−2−25−2+25−2−25−2+25−2−25−2+252+252−252+252−252+252−252+252−25−2−25−2+253+5-2-23−53+5-2-23−5−3−522−3+5−3−522−3+500000000000000000000000000000000000000000000000000000000000000000000000000

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