Finite Group Databasebeta

← Group #13030996

Character table — Group #13030996

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444445555888888881010101016161616202020202020202020202020202020202040401111222244444555588888888101010101616161620202020202020202020202020202020204040
order12222244451010104444241010202020204444101020204888888888888888824222222444101010104444241010202020204444101020204888888888888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111111111111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111-1-1-1-111111111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-11111111111111-1-1-1-111111111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-1
χ61111111111111-1-1-1-111111111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-11111111111111-1-1-1-111111111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-1
χ71111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ81111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ91111-1-1-1-11111111111-1-1-111-1-1-1-1-1-111-1-11ii−i−iii−i−iii−i−iii−i−i-111111-1-1-1-11111111111-1-1-111-1-1-1-1-1-111-1-11ii−i−iii−i−iii−i−iii−i−i-11
χ101111-1-1-1-11111111111-1-1-111-1-1-1-1-1-111-1-11−i−iii−i−iii−i−iii−i−iii-111111-1-1-1-11111111111-1-1-111-1-1-1-1-1-111-1-11−i−iii−i−iii−i−iii−i−iii-11
χ111111-1-1-1-1111111111-11-1-111-1-1-1-1-1-1-1-1111ii−i−iii−i−i−i−iii−i−iii1-11111-1-1-1-1111111111-11-1-111-1-1-1-1-1-1-1-1111ii−i−iii−i−i−i−iii−i−iii1-1
χ121111-1-1-1-1111111111-11-1-111-1-1-1-1-1-1-1-1111−i−iii−i−iiiii−i−iii−i−i1-11111-1-1-1-1111111111-11-1-111-1-1-1-1-1-1-1-1111−i−iii−i−iiiii−i−iii−i−i1-1
χ131111-1-1-1-111111-1-1-1-11-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-111111-1-1-1-11-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-1-1-1111-1
χ141111-1-1-1-111111-1-1-1-11-1-1-111-1-1111111-1-1-1-1-11111-1-1-1-11111-1-11-11111-1-1-1-111111-1-1-1-11-1-1-111-1-1111111-1-1-1-1-11111-1-1-1-11111-1-11-1
χ151111-1-1-1-111111-1-1-1-1-11-1-111-1-11111-1-111-111-1-1-1-111-1-11111-1-1-111111-1-1-1-111111-1-1-1-1-11-1-111-1-11111-1-111-111-1-1-1-111-1-11111-1-1-11
χ161111-1-1-1-111111-1-1-1-1-11-1-111-1-11111-1-111-1-1-11111-1-111-1-1-1-111-111111-1-1-1-111111-1-1-1-1-11-1-111-1-11111-1-111-1-1-11111-1-111-1-1-1-111-11
χ17222222-2-2-2222222220022-2-2-2-22-2-220000-2000000000000000000222222-2-2-2222222220022-2-2-2-22-2-220000-2000000000000000000
χ18222222-2-2-22222-2-2-2-20022-2-2-2-2-222-200002000000000000000000222222-2-2-22222-2-2-2-20022-2-2-2-2-222-200002000000000000000000
χ192222-2-222-22222222200-2-2-2-222-222-20000-20000000000000000002222-2-222-22222222200-2-2-2-222-222-20000-2000000000000000000
χ202222-2-222-22222-2-2-2-200-2-2-2-2222-2-22000020000000000000000002222-2-222-22222-2-2-2-200-2-2-2-2222-2-2200002000000000000000000
χ212-22-2002i−2i022-2-22i2i−2i−2i0000002i−2i02-2000000000000002−2i2−i2i2−i22−2002-22-2002i−2i022-2-22i2i−2i−2i0000002i−2i02-2000000000000002−2i2−i2i2−i22−200
χ222-22-2002i−2i022-2-22i2i−2i−2i0000002i−2i02-200000000000000−22−i2i2−i2i2−22002-22-2002i−2i022-2-22i2i−2i−2i0000002i−2i02-200000000000000−22−i2i2−i2i2−2200
χ232-22-2002i−2i022-2-2−2i−2i2i2i0000002i−2i0-2200000000000000i2−i2−222−2−i2i2002-22-2002i−2i022-2-2−2i−2i2i2i0000002i−2i0-2200000000000000i2−i2−222−2−i2i200
χ242-22-2002i−2i022-2-2−2i−2i2i2i0000002i−2i0-2200000000000000−i2i22−2−22i2−i2002-22-2002i−2i022-2-2−2i−2i2i2i0000002i−2i0-2200000000000000−i2i22−2−22i2−i200
χ252-22-200−2i2i022-2-22i2i−2i−2i000000−2i2i0-2200000000000000i2−i22−2−22−i2i2002-22-200−2i2i022-2-22i2i−2i−2i000000−2i2i0-2200000000000000i2−i22−2−22−i2i200
χ262-22-200−2i2i022-2-22i2i−2i−2i000000−2i2i0-2200000000000000−i2i2−222−2i2−i2002-22-200−2i2i022-2-22i2i−2i−2i000000−2i2i0-2200000000000000−i2i2−222−2i2−i200
χ272-22-200−2i2i022-2-2−2i−2i2i2i000000−2i2i02-2000000000000002−2−i2i2−i2i22−2002-22-200−2i2i022-2-2−2i−2i2i2i000000−2i2i02-2000000000000002−2−i2i2−i2i22−200
χ282-22-200−2i2i022-2-2−2i−2i2i2i000000−2i2i02-200000000000000−22i2−i2i2−i2−22002-22-200−2i2i022-2-2−2i−2i2i2i000000−2i2i02-200000000000000−22i2−i2i2−i2−2200
χ292-2-222-20002-22-22-22-2002-20000200-200000i2−i2i2−i2i2−i2i2−i200000000002-2-222-20002-22-22-22-2002-20000200-200000i2−i2i2−i2i2−i2i2−i20000000000
χ302-2-222-20002-22-22-22-2002-20000200-200000−i2i2−i2i2−i2i2−i2i200000000002-2-222-20002-22-22-22-2002-20000200-200000−i2i2−i2i2−i2i2−i2i20000000000
χ312-2-222-20002-22-2-22-22002-20000-2002000002−22−2−22−2200000000002-2-222-20002-22-2-22-22002-20000-2002000002−22−2−22−220000000000
χ322-2-222-20002-22-2-22-22002-20000-200200000−22−222−22−200000000002-2-222-20002-22-2-22-22002-20000-200200000−22−222−22−20000000000
χ332-2-22-220002-22-22-22-200-220000-2002000002−2−222−2−2200000000002-2-22-220002-22-22-22-200-220000-2002000002−2−222−2−220000000000
χ342-2-22-220002-22-22-22-200-220000-200200000−222−2−222−200000000002-2-22-220002-22-22-22-200-220000-200200000−222−2−222−20000000000
χ352-2-22-220002-22-2-22-2200-220000200-200000i2−i2−i2i2−i2i2i2−i200000000002-2-22-220002-22-2-22-2200-220000200-200000i2−i2−i2i2−i2i2i2−i20000000000
χ362-2-22-220002-22-2-22-2200-220000200-200000−i2i2i2−i2i2−i2−i2i200000000002-2-22-220002-22-2-22-2200-220000200-200000−i2i2i2−i2i2−i2−i2i20000000000
χ37444444444-1-1-1-1000044-1-1-1-1-1-10000-1-1-1-10000000000000000000444444444-1-1-1-1000044-1-1-1-1-1-10000-1-1-1-10000000000000000000
χ38444444444-1-1-1-10000-4-4-1-1-1-1-1-1000011110000000000000000000444444444-1-1-1-10000-4-4-1-1-1-1-1-1000011110000000000000000000
χ39444444-4-4-4-1-1-1-1000000-1-1111100005−55−50000000000000000000444444-4-4-4-1-1-1-1000000-1-1111100005−55−50000000000000000000
χ40444444-4-4-4-1-1-1-1000000-1-111110000−55−550000000000000000000444444-4-4-4-1-1-1-1000000-1-111110000−55−550000000000000000000
χ414444-4-444-4-1-1-1-10000001111-1-100005−5−5500000000000000000004444-4-444-4-1-1-1-10000001111-1-100005−5−550000000000000000000
χ424444-4-444-4-1-1-1-10000001111-1-10000−555−500000000000000000004444-4-444-4-1-1-1-10000001111-1-10000−555−50000000000000000000
χ434444-4-4-4-44-1-1-1-100004-411-1-1110000-1-11100000000000000000004444-4-4-4-44-1-1-1-100004-411-1-1110000-1-1110000000000000000000
χ444444-4-4-4-44-1-1-1-10000-4411-1-111000011-1-100000000000000000004444-4-4-4-44-1-1-1-10000-4411-1-111000011-1-10000000000000000000
χ4544-4-4000004-4-444i−4i−4i4i0000000000000000000000000000000000044-4-4000004-4-444i−4i−4i4i00000000000000000000000000000000000
χ4644-4-4000004-4-44−4i4i4i−4i0000000000000000000000000000000000044-4-4000004-4-44−4i4i4i−4i00000000000000000000000000000000000
χ4788-8-800000-222-20000000025−250000000000000000000000000000088-8-800000-222-20000000025−2500000000000000000000000000000
χ4888-8-800000-222-200000000−25250000000000000000000000000000088-8-800000-222-200000000−252500000000000000000000000000000
χ498-88-8008i−8i0-2-2220000000000−2i2i0000000000000000000000000008-88-8008i−8i0-2-2220000000000−2i2i000000000000000000000000000
χ508-88-800−8i8i0-2-22200000000002i−2i0000000000000000000000000008-88-800−8i8i0-2-22200000000002i−2i000000000000000000000000000
χ518-8-888-8000-22-22000000-2200000000000000000000000000000008-8-888-8000-22-22000000-220000000000000000000000000000000
χ528-8-88-88000-22-220000002-200000000000000000000000000000008-8-88-88000-22-220000002-20000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ541111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ5511111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111
χ5611111111111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-1-111
χ571111111111111-1-1-1-111111111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11−i−i−i−iiiii−i−i−i−iiiii11
χ581111111111111-1-1-1-111111111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11iiii−i−i−i−iiiii−i−i−i−i11
χ591111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111−i−i−i−iiiiiiiii−i−i−i−i-1-1
χ601111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111iiii−i−i−i−i−i−i−i−iiiii-1-1
χ611111-1-1-1-11111111111-1-1-111-1-1-1-1-1-111-1-11ii−i−iii−i−iii−i−iii−i−i-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-1−i−iii−i−iii−i−iii−i−iii1-1
χ621111-1-1-1-11111111111-1-1-111-1-1-1-1-1-111-1-11−i−iii−i−iii−i−iii−i−iii-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-1ii−i−iii−i−iii−i−iii−i−i1-1
χ631111-1-1-1-1111111111-11-1-111-1-1-1-1-1-1-1-1111ii−i−iii−i−i−i−iii−i−iii1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1−i−iii−i−iiiii−i−iii−i−i-11
χ641111-1-1-1-1111111111-11-1-111-1-1-1-1-1-1-1-1111−i−iii−i−iiiii−i−iii−i−i1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1ii−i−iii−i−i−i−iii−i−iii-11
χ651111-1-1-1-111111-1-1-1-11-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-11111-1111-1-111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-11
χ661111-1-1-1-111111-1-1-1-11-1-1-111-1-1111111-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1-1-11111-1111-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-11
χ671111-1-1-1-111111-1-1-1-1-11-1-111-1-11111-1-111-111-1-1-1-111-1-11111-1-1-11-1-1-1-11111-1-1-1-1-111111-111-1-111-1-1-1-111-1-11-1-11111-1-111-1-1-1-1111-1
χ681111-1-1-1-111111-1-1-1-1-11-1-111-1-11111-1-111-1-1-11111-1-111-1-1-1-111-11-1-1-1-11111-1-1-1-1-111111-111-1-111-1-1-1-111-1-1111-1-1-1-111-1-11111-1-11-1
χ69222222-2-2-2222222220022-2-2-2-22-2-220000-2000000000000000000-2-2-2-2-2-2222-2-2-2-2-2-2-2-200-2-22222-222-200002000000000000000000
χ70222222-2-2-22222-2-2-2-20022-2-2-2-2-222-200002000000000000000000-2-2-2-2-2-2222-2-2-2-2222200-2-222222-2-220000-2000000000000000000
χ712222-2-222-22222222200-2-2-2-222-222-20000-2000000000000000000-2-2-2-222-2-22-2-2-2-2-2-2-2-2002222-2-22-2-2200002000000000000000000
χ722222-2-222-22222-2-2-2-200-2-2-2-2222-2-2200002000000000000000000-2-2-2-222-2-22-2-2-2-22222002222-2-2-222-20000-2000000000000000000
χ732-22-2002i−2i022-2-22i2i−2i−2i0000002i−2i02-2000000000000002−2i2−i2i2−i22−200-22-2200−2i2i0-2-222−2i−2i2i2i000000−2i2i0-2200000000000000−22−i2i2−i2i2−2200
χ742-22-2002i−2i022-2-22i2i−2i−2i0000002i−2i02-200000000000000−22−i2i2−i2i2−2200-22-2200−2i2i0-2-222−2i−2i2i2i000000−2i2i0-22000000000000002−2i2−i2i2−i22−200
χ752-22-2002i−2i022-2-2−2i−2i2i2i0000002i−2i0-2200000000000000i2−i2−222−2−i2i200-22-2200−2i2i0-2-2222i2i−2i−2i000000−2i2i02-200000000000000−i2i22−2−22i2−i200
χ762-22-2002i−2i022-2-2−2i−2i2i2i0000002i−2i0-2200000000000000−i2i22−2−22i2−i200-22-2200−2i2i0-2-2222i2i−2i−2i000000−2i2i02-200000000000000i2−i2−222−2−i2i200
χ772-22-200−2i2i022-2-22i2i−2i−2i000000−2i2i0-2200000000000000i2−i22−2−22−i2i200-22-22002i−2i0-2-222−2i−2i2i2i0000002i−2i02-200000000000000−i2i2−222−2i2−i200
χ782-22-200−2i2i022-2-22i2i−2i−2i000000−2i2i0-2200000000000000−i2i2−222−2i2−i200-22-22002i−2i0-2-222−2i−2i2i2i0000002i−2i02-200000000000000i2−i22−2−22−i2i200
χ792-22-200−2i2i022-2-2−2i−2i2i2i000000−2i2i02-2000000000000002−2−i2i2−i2i22−200-22-22002i−2i0-2-2222i2i−2i−2i0000002i−2i0-2200000000000000−22i2−i2i2−i2−2200
χ802-22-200−2i2i022-2-2−2i−2i2i2i000000−2i2i02-200000000000000−22i2−i2i2−i2−2200-22-22002i−2i0-2-2222i2i−2i−2i0000002i−2i0-22000000000000002−2−i2i2−i2i22−200
χ812-2-222-20002-22-22-22-2002-20000200-200000i2−i2i2−i2i2−i2i2−i20000000000-222-2-22000-22-22-22-2200-220000-200200000−i2i2−i2i2−i2i2−i2i20000000000
χ822-2-222-20002-22-22-22-2002-20000200-200000−i2i2−i2i2−i2i2−i2i20000000000-222-2-22000-22-22-22-2200-220000-200200000i2−i2i2−i2i2−i2i2−i20000000000
χ832-2-222-20002-22-2-22-22002-20000-2002000002−22−2−22−220000000000-222-2-22000-22-222-22-200-220000200-200000−22−222−22−20000000000
χ842-2-222-20002-22-2-22-22002-20000-200200000−22−222−22−20000000000-222-2-22000-22-222-22-200-220000200-2000002−22−2−22−220000000000
χ852-2-22-220002-22-22-22-200-220000-2002000002−2−222−2−220000000000-222-22-2000-22-22-22-22002-20000200-200000−222−2−222−20000000000
χ862-2-22-220002-22-22-22-200-220000-200200000−222−2−222−20000000000-222-22-2000-22-22-22-22002-20000200-2000002−2−222−2−220000000000
χ872-2-22-220002-22-2-22-2200-220000200-200000i2−i2−i2i2−i2i2i2−i20000000000-222-22-2000-22-222-22-2002-20000-200200000−i2i2i2−i2i2−i2−i2i20000000000
χ882-2-22-220002-22-2-22-2200-220000200-200000−i2i2i2−i2i2−i2−i2i20000000000-222-22-2000-22-222-22-2002-20000-200200000i2−i2−i2i2−i2i2i2−i20000000000
χ89444444444-1-1-1-1000044-1-1-1-1-1-10000-1-1-1-10000000000000000000-4-4-4-4-4-4-4-4-411110000-4-4111111000011110000000000000000000
χ90444444444-1-1-1-10000-4-4-1-1-1-1-1-1000011110000000000000000000-4-4-4-4-4-4-4-4-411110000441111110000-1-1-1-10000000000000000000
χ91444444-4-4-4-1-1-1-1000000-1-1111100005−55−50000000000000000000-4-4-4-4-4-4444111100000011-1-1-1-10000−55−550000000000000000000
χ92444444-4-4-4-1-1-1-1000000-1-111110000−55−550000000000000000000-4-4-4-4-4-4444111100000011-1-1-1-100005−55−50000000000000000000
χ934444-4-444-4-1-1-1-10000001111-1-100005−5−550000000000000000000-4-4-4-444-4-441111000000-1-1-1-1110000−555−50000000000000000000
χ944444-4-444-4-1-1-1-10000001111-1-10000−555−50000000000000000000-4-4-4-444-4-441111000000-1-1-1-11100005−5−550000000000000000000
χ954444-4-4-4-44-1-1-1-100004-411-1-1110000-1-1110000000000000000000-4-4-4-44444-411110000-44-1-111-1-1000011-1-10000000000000000000
χ964444-4-4-4-44-1-1-1-10000-4411-1-111000011-1-10000000000000000000-4-4-4-44444-4111100004-4-1-111-1-10000-1-1110000000000000000000
χ9744-4-4000004-4-444i−4i−4i4i00000000000000000000000000000000000-4-44400000-444-4−4i4i4i−4i00000000000000000000000000000000000
χ9844-4-4000004-4-44−4i4i4i−4i00000000000000000000000000000000000-4-44400000-444-44i−4i−4i4i00000000000000000000000000000000000
χ9988-8-800000-222-20000000025−2500000000000000000000000000000-8-888000002-2-2200000000−252500000000000000000000000000000
χ10088-8-800000-222-200000000−252500000000000000000000000000000-8-888000002-2-220000000025−2500000000000000000000000000000
χ1018-88-8008i−8i0-2-2220000000000−2i2i000000000000000000000000000-88-8800−8i8i022-2-200000000002i−2i000000000000000000000000000
χ1028-88-800−8i8i0-2-22200000000002i−2i000000000000000000000000000-88-88008i−8i022-2-20000000000−2i2i000000000000000000000000000
χ1038-8-888-8000-22-22000000-220000000000000000000000000000000-888-8-880002-22-20000002-20000000000000000000000000000000
χ1048-8-88-88000-22-220000002-20000000000000000000000000000000-888-88-80002-22-2000000-220000000000000000000000000000000

Here i is the imaginary unit (i² = −1).