Finite Group Databasebeta

← Group #13017046

Character table — Group #13017046

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111111112222444444444444888888888888888810101010101010101010101010101010161616161616161620202020202020202020202020202020404040404040404040404040
order12222222444444445101010101010104444202020202020202020202020222244444444444420202020202020204444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−i−i−iiiii
χ5111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−i−i−iiiii
χ8111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111iiii−i−i−i−i
χ911111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1
χ1011111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii
χ1211111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−i
χ1311111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ1511111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii
χ1711-1-1-111-1ii−i−ii−i1-1111-1-1-1-11i−i1-1iiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i1-1i−ii−i1-1i−i1-1
χ1811-1-1-111-1ii−i−ii−i1-1111-1-1-1-11i−i1-1iiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i11-1-1ii−i−i11-1-1-1-111−i−iii-1-111−i−iii1-1i−i−ii-11−ii-11
χ1911-1-1-111-1ii−i−ii−i1-1111-1-1-1-11i−i1-1iiii−i−i−i−i11-1-1-11-11−i−iii−i−iii-1-111ii−i−i11-1-1ii−i−i-1-111−i−iii11-1-1-11−ii-11i−i1-1−ii
χ2011-1-1-111-1ii−i−ii−i1-1111-1-1-1-11i−i1-1iiii−i−i−i−i11-1-1-11-11−i−iii−i−iii-1-111ii−i−i11-1-1−i−iii11-1-1ii−i−i-1-111-11−ii1-1−ii-11i−i
χ2111-1-1-111-1ii−i−ii−i1-1111-1-1-1-11−ii-11iiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i11-1-1−i−iii-1-11111-1-1ii−i−i11-1-1ii−i−i-11−ii−ii-11−ii-11
χ2211-1-1-111-1ii−i−ii−i1-1111-1-1-1-11−ii-11iiii−i−i−i−i11-1-11-11-1ii−i−iii−i−i11-1-1−i−iii-1-111-1-111−i−iii-1-111−i−iii-11−iii−i1-1i−i1-1
χ2311-1-1-111-1ii−i−ii−i1-1111-1-1-1-11−ii-11iiii−i−i−i−i11-1-1-11-11−i−iii−i−iii-1-111−i−iii-1-111ii−i−i-1-111−i−iii11-1-11-1i−i1-1−ii-11i−i
χ2411-1-1-111-1ii−i−ii−i1-1111-1-1-1-11−ii-11iiii−i−i−i−i11-1-1-11-11−i−iii−i−iii-1-111−i−iii-1-111−i−iii11-1-1ii−i−i-1-1111-1i−i-11i−i1-1−ii
χ2511-1-1-111-1−i−iii−ii1-1111-1-1-1-11i−i-11−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii11-1-1ii−i−i-1-11111-1-1−i−iii11-1-1−i−iii-11i−ii−i-11i−i-11
χ2611-1-1-111-1−i−iii−ii1-1111-1-1-1-11i−i-11−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii11-1-1ii−i−i-1-111-1-111ii−i−i-1-111ii−i−i-11i−i−ii1-1−ii1-1
χ2711-1-1-111-1−i−iii−ii1-1111-1-1-1-11i−i-11−i−i−i−iiiii11-1-1-11-11ii−i−iii−i−i-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii-1-1111-1−ii-11−ii1-1i−i
χ2811-1-1-111-1−i−iii−ii1-1111-1-1-1-11i−i-11−i−i−i−iiiii11-1-1-11-11ii−i−iii−i−i-1-111ii−i−i-1-111−i−iii-1-111ii−i−i11-1-11-1−ii1-1i−i-11−ii
χ2911-1-1-111-1−i−iii−ii1-1111-1-1-1-11−ii1-1−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii11-1-1−i−iii11-1-111-1-1−i−iii11-1-1−i−iii1-1−ii−ii1-1−ii1-1
χ3011-1-1-111-1−i−iii−ii1-1111-1-1-1-11−ii1-1−i−i−i−iiiii11-1-11-11-1−i−iii−i−iii11-1-1−i−iii11-1-1-1-111ii−i−i-1-111ii−i−i1-1−iii−i-11i−i-11
χ3111-1-1-111-1−i−iii−ii1-1111-1-1-1-11−ii1-1−i−i−i−iiiii11-1-1-11-11ii−i−iii−i−i-1-111−i−iii11-1-1ii−i−i11-1-1−i−iii-1-111-11i−i1-1i−i-11−ii
χ3211-1-1-111-1−i−iii−ii1-1111-1-1-1-11−ii1-1−i−i−i−iiiii11-1-1-11-11ii−i−iii−i−i-1-111−i−iii11-1-1−i−iii-1-111ii−i−i11-1-1-11i−i-11−ii1-1i−i
χ33222222222222-2-2-2-222222222000022-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ34222222222222-2-2-2-222222222000022-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ3522222222-2-2-2-222-2-2222222220000-2-222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ3622222222-2-2-2-222-2-2222222220000-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ3722-2-2-222-22i2i−2i−2i−2i2i-22222-2-2-2-2200002i2i−2i−2i−2i−2i2i2i-2-2222-22-2−2i−2i2i2i2i2i−2i−2i-2-222000000000000000000000000000000000000
χ3822-2-2-222-22i2i−2i−2i−2i2i-22222-2-2-2-2200002i2i−2i−2i−2i−2i2i2i-2-222-22-222i2i−2i−2i−2i−2i2i2i22-2-2000000000000000000000000000000000000
χ3922-2-2-222-2−2i−2i2i2i2i−2i-22222-2-2-2-220000−2i−2i2i2i2i2i−2i−2i-2-2222-22-22i2i−2i−2i−2i−2i2i2i-2-222000000000000000000000000000000000000
χ4022-2-2-222-2−2i−2i2i2i2i−2i-22222-2-2-2-220000−2i−2i2i2i2i2i−2i−2i-2-222-22-22−2i−2i2i2i2i2i−2i−2i22-2-2000000000000000000000000000000000000
χ412-22-2-2-2222-22-2000022-222-2-2-200002-2002-200000000002i−2i2i−2i00002i−2i2i−2i000000001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000
χ422-22-2-2-2222-22-2000022-222-2-2-200002-2002-200000000002i−2i2i−2i00002i−2i2i−2i00000000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000
χ432-22-2-2-2222-22-2000022-222-2-2-200002-2002-20000000000−2i2i−2i2i0000−2i2i−2i2i000000001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000
χ442-22-2-2-2222-22-2000022-222-2-2-200002-2002-20000000000−2i2i−2i2i0000−2i2i−2i2i00000000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000
χ452-22-2-2-222-22-22000022-222-2-2-20000-2200-2200000000002i−2i2i−2i0000−2i2i−2i2i000000001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i000000000000
χ462-22-2-2-222-22-22000022-222-2-2-20000-2200-2200000000002i−2i2i−2i0000−2i2i−2i2i00000000−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i000000000000
χ472-22-2-2-222-22-22000022-222-2-2-20000-2200-220000000000−2i2i−2i2i00002i−2i2i−2i000000001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i000000000000
χ482-22-2-2-222-22-22000022-222-2-2-20000-2200-220000000000−2i2i−2i2i00002i−2i2i−2i00000000−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i000000000000
χ492-2-222-22-22i−2i−2i2i000022-2-2-222-200002i−2i00−2i2i00000000002-2-220000−2i2i2i−2i000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000
χ502-2-222-22-22i−2i−2i2i000022-2-2-222-200002i−2i00−2i2i00000000002-2-220000−2i2i2i−2i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000
χ512-2-222-22-22i−2i−2i2i000022-2-2-222-200002i−2i00−2i2i0000000000-222-200002i−2i−2i2i000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000
χ522-2-222-22-22i−2i−2i2i000022-2-2-222-200002i−2i00−2i2i0000000000-222-200002i−2i−2i2i00000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000
χ532-2-222-22-2−2i2i2i−2i000022-2-2-222-20000−2i2i002i−2i00000000002-2-2200002i−2i−2i2i000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000
χ542-2-222-22-2−2i2i2i−2i000022-2-2-222-20000−2i2i002i−2i00000000002-2-2200002i−2i−2i2i00000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000
χ552-2-222-22-2−2i2i2i−2i000022-2-2-222-20000−2i2i002i−2i0000000000-222-20000−2i2i2i−2i000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000
χ562-2-222-22-2−2i2i2i−2i000022-2-2-222-20000−2i2i002i−2i0000000000-222-20000−2i2i2i−2i00000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000
χ574444444444444444-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-10000000000000000000000000000
χ584444444444444444-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-10000000000000000111111110000000000000000000000000000
χ59444444444444-4-4-4-4-1-1-1-1-1-1-1-10000-1-111-1-111111100000000000000005−55−55−55−50000000000000000000000000000
χ60444444444444-4-4-4-4-1-1-1-1-1-1-1-10000-1-111-1-11111110000000000000000−55−55−55−550000000000000000000000000000
χ6144444444-4-4-4-444-4-4-1-1-1-1-1-1-1-1000011-1-111-1-1111100000000000000005−55−5−55−550000000000000000000000000000
χ6244444444-4-4-4-444-4-4-1-1-1-1-1-1-1-1000011-1-111-1-111110000000000000000−55−555−55−50000000000000000000000000000
χ6344444444-4-4-4-4-4-444-1-1-1-1-1-1-1-144-4-411111111-1-1-1-10000000000000000-1-1-1-111110000000000000000000000000000
χ6444444444-4-4-4-4-4-444-1-1-1-1-1-1-1-1-4-44411111111-1-1-1-100000000000000001111-1-1-1-10000000000000000000000000000
χ65444-44-4-4-4000000004-444-44-4-400000000000000004-4-44000000000000000000000000000000000000000000000000
χ66444-44-4-4-4000000004-444-44-4-40000000000000000-444-4000000000000000000000000000000000000000000000000
χ6744-44-4-4-44000000004-44-44-44-4000000000000000044-4-4000000000000000000000000000000000000000000000000
χ6844-44-4-4-44000000004-44-44-44-40000000000000000-4-444000000000000000000000000000000000000000000000000
χ6944-4-4-444-44i4i−4i−4i4i−4i4-4-1-1-11111-14i−4i4-4−i−i−i−iiiii-1-1110000000000000000−i−iii-1-1110000000000000000000000000000
χ7044-4-4-444-44i4i−4i−4i4i−4i4-4-1-1-11111-1−4i4i-44−i−i−i−iiiii-1-1110000000000000000ii−i−i11-1-10000000000000000000000000000
χ7144-4-4-444-44i4i−4i−4i−4i4i-44-1-1-11111-10000−i−iiiii−i−i11-1-10000000000000000i5−i5−i5i55−5−550000000000000000000000000000
χ7244-4-4-444-44i4i−4i−4i−4i4i-44-1-1-11111-10000−i−iiiii−i−i11-1-10000000000000000−i5i5i5−i5−555−50000000000000000000000000000
χ7344-4-4-444-4−4i−4i4i4i4i−4i-44-1-1-11111-10000ii−i−i−i−iii11-1-10000000000000000i5−i5−i5i5−555−50000000000000000000000000000
χ7444-4-4-444-4−4i−4i4i4i4i−4i-44-1-1-11111-10000ii−i−i−i−iii11-1-10000000000000000−i5i5i5−i55−5−550000000000000000000000000000
χ7544-4-4-444-4−4i−4i4i4i−4i4i4-4-1-1-11111-14i−4i-44iiii−i−i−i−i-1-1110000000000000000−i−iii11-1-10000000000000000000000000000
χ7644-4-4-444-4−4i−4i4i4i−4i4i4-4-1-1-11111-1−4i4i4-4iiii−i−i−i−i-1-1110000000000000000ii−i−i-1-1110000000000000000000000000000
χ774-444-44-4-4000000004-4-44-4-4440000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ784-444-44-4-4000000004-4-44-4-444000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ794-4-4-444-44000000004-4-4-444-440000000000000000000000004-4-440000000000000000000000000000000000000000
χ804-4-4-444-44000000004-4-4-444-44000000000000000000000000-444-40000000000000000000000000000000000000000
χ81888-88-8-8-800000000-22-2-22-22200000025−250025−2500000000000000000000000000000000000000000000000000000000
χ82888-88-8-8-800000000-22-2-22-222000000−252500−252500000000000000000000000000000000000000000000000000000000
χ8388-88-8-8-8800000000-22-22-22-220000002i5−2i500−2i52i500000000000000000000000000000000000000000000000000000000
χ8488-88-8-8-8800000000-22-22-22-22000000−2i52i5002i5−2i500000000000000000000000000000000000000000000000000000000
χ858-888-88-8-800000000-222-222-2-200000000000025−2525−250000000000000000000000000000000000000000000000000000
χ868-888-88-8-800000000-222-222-2-2000000000000−2525−25250000000000000000000000000000000000000000000000000000
χ878-88-8-8-8888-88-80000-2-22-2-22220000-2200-220000000000000000000000000000000000000000000000000000000000
χ888-88-8-8-888-88-880000-2-22-2-222200002-2002-20000000000000000000000000000000000000000000000000000000000
χ898-8-888-88-88i−8i−8i8i0000-2-2222-2-220000−2i2i002i−2i0000000000000000000000000000000000000000000000000000000000
χ908-8-888-88-8−8i8i8i−8i0000-2-2222-2-2200002i−2i00−2i2i0000000000000000000000000000000000000000000000000000000000
χ918-8-8-888-8800000000-2222-2-22-200000000000025−25−25250000000000000000000000000000000000000000000000000000
χ928-8-8-888-8800000000-2222-2-22-2000000000000−252525−250000000000000000000000000000000000000000000000000000

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