Finite Group Databasebeta

← Group #14512772

Character table — Group #14512772

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222222222222222266666666888810101010121212121212121212121212121212121212121212121212121212121212161616161616161616161616161616161616242424242424242430303030606060606060606080808080
order1222445510101010101020202020202020204444888836664444224488202020202020202040404040404040404040404040404040121215153030303030306060606060606060101010102020202022442244888812121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ61111-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111
χ71111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1
χ81111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111
χ911-1-1i−i1111-1-1-1-1iiii−i−i−i−ii−i1-1ii−i−i1-11-11-1i−i1-1i−i1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1-1i−i1-1i−ii−i1-11-1i−i
χ1011-1-1i−i1111-1-1-1-1iiii−i−i−i−ii−i1-1ii−i−i1-11-1-11−ii1-1i−i1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i-11−ii-11−ii−ii-11-11−ii
χ1111-1-1i−i1111-1-1-1-1iiii−i−i−i−ii−i1-1−i−iii1-11-11-1i−i-11−ii-11ii−i−i11-1-1−i−i−i−iiiii-1-1-1-11111i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii1-1i−i-11−ii−ii-111-1i−i
χ1211-1-1i−i1111-1-1-1-1iiii−i−i−i−ii−i1-1−i−iii1-11-1-11−ii-11−ii-11ii−i−i11-1-1−i−i−i−iiiii-1-1-1-11111i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-11−ii1-1i−ii−i1-1-11−ii
χ1311-1-1−ii1111-1-1-1-1−i−i−i−iiiii−ii1-1ii−i−i1-11-11-1−ii-11i−i-11−i−iii11-1-1iiii−i−i−i−i-1-1-1-11111−ii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i1-1−ii-11i−ii−i-111-1−ii
χ1411-1-1−ii1111-1-1-1-1−i−i−i−iiiii−ii1-1ii−i−i1-11-1-11i−i-11i−i-11−i−iii11-1-1iiii−i−i−i−i-1-1-1-11111−ii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-11i−i1-1−ii−ii1-1-11i−i
χ1511-1-1−ii1111-1-1-1-1−i−i−i−iiiii−ii1-1−i−iii1-11-11-1−ii1-1−ii1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1-1−ii1-1−ii−ii1-11-1−ii
χ1611-1-1−ii1111-1-1-1-1−i−i−i−iiiii−ii1-1−i−iii1-11-1-11i−i1-1−ii1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii-11i−i-11i−ii−i-11-11i−i
χ17222222222222222222222222220000-1-1-1-12222000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1
χ18222222222222222222222222220000-1-1-1-1-2-2-2-2000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000001111
χ19222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222220000222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-222220000-2-2-2-2-2-2−1+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+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+52−1−52−1−521−521+521−521+521−521+521−521+520000000000000000
χ21222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222220000222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ22222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-222220000-2-2-2-2-2-2−1−52−1+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+521−521−5222−1−52−1+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+521+521−521+521−521+521−521+521−520000000000000000
χ232222-2-222222222-2-2-2-2-2-2-2-2-2-2220000-1-1-1-122-2-2000000-2-2-2-22222000000000000000011-1-1-1-1-1-1-1-1111111110000000022-2-200000000-1-111
χ242222-2-222222222-2-2-2-2-2-2-2-2-2-2220000-1-1-1-1-2-222000000-2-2-2-22222000000000000000011-1-1-1-1-1-1-1-11111111100000000-2-2220000000011-1-1
χ252222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-222222222220000-2-222-2-21−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-2−1+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+52−1+52−1−52−1+52−1−520000000000000000
χ262222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-222-2-2-2-22222000022-2-2221−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ272222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-222222222220000-2-222-2-21+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+521+521+521−521−521+521+521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ282222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-222-2-2-2-22222000022-2-2221+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ2922-2-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2i−2i2-20000-11-112-22i−2i0000002i2i−2i−2i22-2-20000000000000000−ii-1-1-1-11111−i−i−i−iiiii000000002-22i−2i00000000-11−ii
χ3022-2-22i−2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i2i−2i2-20000-11-11-22−2i2i0000002i2i−2i−2i22-2-20000000000000000−ii-1-1-1-11111−i−i−i−iiiii00000000-22−2i2i000000001-1i−i
χ3122-2-22i−2i−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ142i−2i2-22i2i−2i−2i2-22-200002-22i−2i2-2−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1+52−1−52−1−521−521−521+521+522i−2i−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−521−521+52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000000000
χ3222-2-22i−2i−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ142i−2i2-2−2i−2i2i2i2-22-20000-22−2i2i-22−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ141−521−521+521+52−1+52−1+52−1−52−1−522i−2i−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ141−521+52−1+52−1−52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000000000
χ3322-2-22i−2i−1−52−1+52−1−52−1+521+521−521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ382i−2i2-22i2i−2i−2i2-22-200002-22i−2i2-2−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1−52−1+52−1+521+521+521−521−522i−2i−1−52−1+52−1−52−1+521+521−521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1+521+521−52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000000000000000
χ3422-2-22i−2i−1−52−1+52−1−52−1+521+521−521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ382i−2i2-2−2i−2i2i2i2-22-20000-22−2i2i-22−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ381+521+521−521−52−1−52−1−52−1+52−1+522i−2i−1−52−1+52−1−52−1+521+521−521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ381+521−52−1−52−1+52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000000000000000
χ3522-2-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i2i2-20000-11-112-2−2i2i000000−2i−2i2i2i22-2-20000000000000000i−i-1-1-1-11111iiii−i−i−i−i000000002-2−2i2i00000000-11i−i
χ3622-2-2−2i2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i2i2-20000-11-11-222i−2i000000−2i−2i2i2i22-2-20000000000000000i−i-1-1-1-11111iiii−i−i−i−i00000000-222i−2i000000001-1−ii
χ3722-2-2−2i2i−1+52−1−52−1+52−1−521−521+521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−2i2i2-22i2i−2i−2i2-22-20000-222i−2i-22ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ141−521−521+521+52−1+52−1+52−1−52−1−52−2i2i−1+52−1−52−1+52−1−521−521+521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ141−521+52−1+52−1−52−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ140000000000000000
χ3822-2-2−2i2i−1+52−1−52−1+52−1−521−521+521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−2i2i2-2−2i−2i2i2i2-22-200002-2−2i2i2-2ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1+52−1−52−1−521−521−521+521+52−2i2i−1+52−1−52−1+52−1−521−521+521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1−521−521+52ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ140000000000000000
χ3922-2-2−2i2i−1−52−1+52−1−52−1+521+521−521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−2i2i2-22i2i−2i−2i2-22-20000-222i−2i-22ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ381+521+521−521−52−1−52−1−52−1+52−1+52−2i2i−1−52−1+52−1−52−1+521+521−521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ381+521−52−1−52−1+52−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ380000000000000000
χ4022-2-2−2i2i−1−52−1+52−1−52−1+521+521−521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−2i2i2-2−2i−2i2i2i2-22-200002-2−2i2i2-2ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1−52−1+52−1+521+521+521−521−52−2i2i−1−52−1+52−1−52−1+521+521−521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1+521+521−52ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ380000000000000000
χ413333333333333333333333-1-1-1-1111100003333-1-1-1-111-1-1-1-1-1-1-1-11111111111111111000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111110000
χ423333333333333333333333-1-1-1-111110000-3-3-3-3-1-1-1-111-1-1-1-1-1-1-1-11111111111111111000000000000000000-1-1-1-1-1-1-1-111111111-1-1-1-10000
χ433333333333333333333333-1-1-1-1-1-1-1-1000033331111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000011111111-1-1-1-11111-1-1-1-10000
χ443333333333333333333333-1-1-1-1-1-1-1-10000-3-3-3-31111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000111111111111-1-1-1-111110000
χ453333-3-333333333-3-3-3-3-3-3-3-311-1-11111000033-3-311-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-1-1-11111-1-111-1-10000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.