Finite Group Databasebeta

← Group #13017054

Character table — Group #13017054

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111111112222444444444444888888888888888810101010101010101010101010101010161616161616161620202020202020202020202020202020404040404040404040404040
order12222222444444445101010101010104444202020202020202020202020222244444444444420202020202020208888888888888888444444444444
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
χ911111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1
χ1011111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii
χ1211111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−i
χ1311111111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ1511111111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii
χ1711-11-1-1-11ii−i−ii−i1-111-1-11-11-11-1i−i11-1-1ii−i−iii−i−i1-11-1ii−i−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−ii−i1-11-1i−i1-1i−i
χ1811-11-1-1-11ii−i−ii−i1-111-1-11-11-11-1i−i11-1-1ii−i−iii−i−i1-11-1ii−i−iii−i−i11-1-111-1-1ii−i−i-1-111−i−iii-1-111−i−iiii−i1-1-11−ii-11−ii
χ1911-11-1-1-11ii−i−ii−i1-111-1-11-11-11-1i−i11-1-1ii−i−iii−i−i-11-11−i−iii−i−iii-1-11111-1-1ii−i−iii−i−i-1-111−i−iii11-1-1−ii-11i−i-11−ii1-1
χ2011-11-1-1-11ii−i−ii−i1-111-1-11-11-11-1i−i11-1-1ii−i−iii−i−i-11-11−i−iii−i−iii-1-11111-1-1ii−i−i−i−iii11-1-1ii−i−i-1-111−ii-11−ii1-1i−i-11
χ2111-11-1-1-11ii−i−ii−i1-111-1-11-11-1-11−ii11-1-1ii−i−iii−i−i1-11-1ii−i−iii−i−i11-1-1-1-111−i−iii11-1-1ii−i−i11-1-1ii−i−i−ii-11-11−ii-11−ii
χ2211-11-1-1-11ii−i−ii−i1-111-1-11-11-1-11−ii11-1-1ii−i−iii−i−i1-11-1ii−i−iii−i−i11-1-1-1-111−i−iii-1-111−i−iii-1-111−i−iii−ii-111-1i−i1-1i−i
χ2311-11-1-1-11ii−i−ii−i1-111-1-11-11-1-11−ii11-1-1ii−i−iii−i−i-11-11−i−iii−i−iii-1-111-1-111−i−iiiii−i−i-1-111−i−iii11-1-1i−i1-1−ii1-1i−i-11
χ2411-11-1-1-11ii−i−ii−i1-111-1-11-11-1-11−ii11-1-1ii−i−iii−i−i-11-11−i−iii−i−iii-1-111-1-111−i−iii−i−iii11-1-1ii−i−i-1-111i−i1-1i−i-11−ii1-1
χ2511-11-1-1-11−i−iii−ii1-111-1-11-11-11-1−ii11-1-1−i−iii−i−iii1-11-1−i−iii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii−ii1-11-1−ii1-1−ii
χ2611-11-1-1-11−i−iii−ii1-111-1-11-11-11-1−ii11-1-1−i−iii−i−iii1-11-1−i−iii−i−iii11-1-111-1-1−i−iii-1-111ii−i−i-1-111ii−i−i−ii1-1-11i−i-11i−i
χ2711-11-1-1-11−i−iii−ii1-111-1-11-11-11-1−ii11-1-1−i−iii−i−iii-11-11ii−i−iii−i−i-1-11111-1-1−i−iiiii−i−i11-1-1−i−iii-1-111i−i-11i−i1-1−ii-11
χ2811-11-1-1-11−i−iii−ii1-111-1-11-11-11-1−ii11-1-1−i−iii−i−iii-11-11ii−i−iii−i−i-1-11111-1-1−i−iii−i−iii-1-111ii−i−i11-1-1i−i-11−ii-11i−i1-1
χ2911-11-1-1-11−i−iii−ii1-111-1-11-11-1-11i−i11-1-1−i−iii−i−iii1-11-1−i−iii−i−iii11-1-1-1-111ii−i−i11-1-1−i−iii11-1-1−i−iiii−i-11-11i−i-11i−i
χ3011-11-1-1-11−i−iii−ii1-111-1-11-11-1-11i−i11-1-1−i−iii−i−iii1-11-1−i−iii−i−iii11-1-1-1-111ii−i−i-1-111ii−i−i-1-111ii−i−ii−i-111-1−ii1-1−ii
χ3111-11-1-1-11−i−iii−ii1-111-1-11-11-1-11i−i11-1-1−i−iii−i−iii-11-11ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i11-1-1−i−iii-1-111−ii1-1−ii-11i−i1-1
χ3211-11-1-1-11−i−iii−ii1-111-1-11-11-1-11i−i11-1-1−i−iii−i−iii-11-11ii−i−iii−i−i-1-111-1-111ii−i−i−i−iii-1-111ii−i−i11-1-1−ii1-1i−i1-1−ii-11
χ33222222222222-2-2-2-2222222220000-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ34222222222222-2-2-2-2222222220000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ3522222222-2-2-2-222-2-2222222220000-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ3622222222-2-2-2-222-2-2222222220000-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ37222-22-2-2-22-22-20000222-2-22-2-2000000002-22-2000022-2-22-22-200000000000000002−22−22−22−22−22−22−22−2000000000000
χ38222-22-2-2-22-22-20000222-2-22-2-2000000002-22-2000022-2-22-22-20000000000000000−22−22−22−22−22−22−22−22000000000000
χ39222-22-2-2-22-22-20000222-2-22-2-2000000002-22-20000-2-222-22-220000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ40222-22-2-2-22-22-20000222-2-22-2-2000000002-22-20000-2-222-22-220000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ41222-22-2-2-2-22-220000222-2-22-2-200000000-22-22000022-2-2-22-2200000000000000002−22−2−22−222−22−2−22−22000000000000
χ42222-22-2-2-2-22-220000222-2-22-2-200000000-22-22000022-2-2-22-220000000000000000−22−222−22−2−22−222−22−2000000000000
χ43222-22-2-2-2-22-220000222-2-22-2-200000000-22-220000-2-2222-22-20000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000
χ44222-22-2-2-2-22-220000222-2-22-2-200000000-22-220000-2-2222-22-20000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000
χ4522-22-2-2-222i2i−2i−2i−2i2i-2222-2-22-22-20000-2-2222i2i−2i−2i−2i−2i2i2i2-22-22i2i−2i−2i−2i−2i2i2i-2-222000000000000000000000000000000000000
χ4622-22-2-2-222i2i−2i−2i−2i2i-2222-2-22-22-20000-2-2222i2i−2i−2i−2i−2i2i2i-22-22−2i−2i2i2i2i2i−2i−2i22-2-2000000000000000000000000000000000000
χ4722-22-2-2-22−2i−2i2i2i2i−2i-2222-2-22-22-20000-2-222−2i−2i2i2i2i2i−2i−2i2-22-2−2i−2i2i2i2i2i−2i−2i-2-222000000000000000000000000000000000000
χ4822-22-2-2-22−2i−2i2i2i2i−2i-2222-2-22-22-20000-2-222−2i−2i2i2i2i2i−2i−2i-22-222i2i−2i−2i−2i−2i2i2i22-2-2000000000000000000000000000000000000
χ4922-2-2-222-22i−2i−2i2i000022-22-2-2-22000000002i−2i−2i2i00002-2-222i−2i−2i2i00000000000000002−2−22i2−i2−i2i22−2−22i2−i2−i2i2000000000000
χ5022-2-2-222-22i−2i−2i2i000022-22-2-2-22000000002i−2i−2i2i00002-2-222i−2i−2i2i0000000000000000−222−2−i2i2i2−i2−222−2−i2i2i2−i2000000000000
χ5122-2-2-222-22i−2i−2i2i000022-22-2-2-22000000002i−2i−2i2i0000-222-2−2i2i2i−2i0000000000000000i2−i2−i2i2−222−2−i2i2i2−i22−2−22000000000000
χ5222-2-2-222-22i−2i−2i2i000022-22-2-2-22000000002i−2i−2i2i0000-222-2−2i2i2i−2i0000000000000000−i2i2i2−i22−2−22i2−i2−i2i2−222−2000000000000
χ5322-2-2-222-2−2i2i2i−2i000022-22-2-2-2200000000−2i2i2i−2i00002-2-22−2i2i2i−2i00000000000000002−2−22−i2i2i2−i22−2−22−i2i2i2−i2000000000000
χ5422-2-2-222-2−2i2i2i−2i000022-22-2-2-2200000000−2i2i2i−2i00002-2-22−2i2i2i−2i0000000000000000−222−2i2−i2−i2i2−222−2i2−i2−i2i2000000000000
χ5522-2-2-222-2−2i2i2i−2i000022-22-2-2-2200000000−2i2i2i−2i0000-222-22i−2i−2i2i0000000000000000i2−i2−i2i22−2−22−i2i2i2−i2−222−2000000000000
χ5622-2-2-222-2−2i2i2i−2i000022-22-2-2-2200000000−2i2i2i−2i0000-222-22i−2i−2i2i0000000000000000−i2i2i2−i2−222−2i2−i2−i2i22−2−22000000000000
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
χ59444444444444-4-4-4-4-1-1-1-1-1-1-1-100001111-1-1-1-1111100000000000000005−55−55−55−50000000000000000000000000000
χ60444444444444-4-4-4-4-1-1-1-1-1-1-1-100001111-1-1-1-111110000000000000000−55−55−55−550000000000000000000000000000
χ6144444444-4-4-4-444-4-4-1-1-1-1-1-1-1-1000011111111-1-1-1-100000000000000005−55−5−55−550000000000000000000000000000
χ6244444444-4-4-4-444-4-4-1-1-1-1-1-1-1-1000011111111-1-1-1-10000000000000000−55−555−55−50000000000000000000000000000
χ6344444444-4-4-4-4-4-444-1-1-1-1-1-1-1-144-4-4-1-1-1-1111111110000000000000000-1-1-1-111110000000000000000000000000000
χ6444444444-4-4-4-4-4-444-1-1-1-1-1-1-1-1-4-444-1-1-1-11111111100000000000000001111-1-1-1-10000000000000000000000000000
χ6544-44-4-4-444i4i−4i−4i4i−4i4-4-1-111-11-114-44i−4i-1-111−i−iii−i−iii0000000000000000-1-111−i−iii0000000000000000000000000000
χ6644-44-4-4-444i4i−4i−4i4i−4i4-4-1-111-11-11-44−4i4i-1-111−i−iii−i−iii000000000000000011-1-1ii−i−i0000000000000000000000000000
χ6744-44-4-4-444i4i−4i−4i−4i4i-44-1-111-11-11000011-1-1−i−iiiii−i−i00000000000000005−5−55i5−i5−i5i50000000000000000000000000000
χ6844-44-4-4-444i4i−4i−4i−4i4i-44-1-111-11-11000011-1-1−i−iiiii−i−i0000000000000000−555−5−i5i5i5−i50000000000000000000000000000
χ6944-44-4-4-44−4i−4i4i4i4i−4i-44-1-111-11-11000011-1-1ii−i−i−i−iii00000000000000005−5−55−i5i5i5−i50000000000000000000000000000
χ7044-44-4-4-44−4i−4i4i4i4i−4i-44-1-111-11-11000011-1-1ii−i−i−i−iii0000000000000000−555−5i5−i5−i5i50000000000000000000000000000
χ7144-44-4-4-44−4i−4i4i4i−4i4i4-4-1-111-11-114-4−4i4i-1-111ii−i−iii−i−i0000000000000000-1-111ii−i−i0000000000000000000000000000
χ7244-44-4-4-44−4i−4i4i4i−4i4i4-4-1-111-11-11-444i−4i-1-111ii−i−iii−i−i000000000000000011-1-1−i−iii0000000000000000000000000000
χ734-444-44-4-4000000004-44-4-4-44400000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000
χ744-444-44-4-4000000004-44-4-4-4440000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000
χ754-44-4-4-444000000004-4444-4-4-40000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ764-44-4-4-444000000004-4444-4-4-4000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ774-4-444-44-4000000004-4-44-444-400000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ784-4-444-44-4000000004-4-44-444-40000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ794-4-4-444-44000000004-4-4-444-440000000000000000000000004-4-440000000000000000000000000000000000000000
χ804-4-4-444-44000000004-4-4-444-44000000000000000000000000-444-40000000000000000000000000000000000000000
χ81888-88-8-8-88-88-80000-2-2-222-22200000000-22-2200000000000000000000000000000000000000000000000000000000
χ82888-88-8-8-8-88-880000-2-2-222-222000000002-22-200000000000000000000000000000000000000000000000000000000
χ8388-8-8-888-88i−8i−8i8i0000-2-22-2222-200000000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ8488-8-8-888-8−8i8i8i−8i0000-2-22-2222-2000000002i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ858-888-88-8-800000000-22-2222-2-200000000000025−2525−250000000000000000000000000000000000000000000000000000
χ868-888-88-8-800000000-22-2222-2-2000000000000−2525−25250000000000000000000000000000000000000000000000000000
χ878-88-8-8-88800000000-22-2-2-2222000025−2525−25000000000000000000000000000000000000000000000000000000000000
χ888-88-8-8-88800000000-22-2-2-22220000−2525−2525000000000000000000000000000000000000000000000000000000000000
χ898-8-888-88-800000000-222-22-2-220000000000002i5−2i5−2i52i50000000000000000000000000000000000000000000000000000
χ908-8-888-88-800000000-222-22-2-22000000000000−2i52i52i5−2i50000000000000000000000000000000000000000000000000000
χ918-8-8-888-8800000000-2222-2-22-2000025−25−2525000000000000000000000000000000000000000000000000000000000000
χ928-8-8-888-8800000000-2222-2-22-20000−252525−25000000000000000000000000000000000000000000000000000000000000

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