Finite Group Databasebeta

← Group #13036633

Character table — Group #13036633

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size11112244444444444455558888888101010101010101010101616161616161616162020202020202020202020202020202020202020202020203232404040404040404040
order12224444444458810101044444482020202022888888882020202020404040402244444444888888888888882020444488888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1
χ3111111111111111111-1-1-1-11111111-1-1iiii−i−i−i−i111111111-1-1-1-1-1-1ii−i−i-1-1ii−i−iiiii−i−i−i−i11-1-1i−i-1ii−i−i
χ4111111111111111111-1-1-1-11111111-1-1−i−i−i−iiiii111111111-1-1-1-1-1-1−i−iii-1-1−i−iii−i−i−i−iiiii11-1-1−ii-1−i−iii
χ51111111111111-1-11111111-1-1-11111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111-1-11111111-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111
χ71111111111111-1-1111-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i11111-1-1-1-1-1-1-1-1-1-1−i−iii11ii−i−iiiii−i−i−i−i-1-111−ii1−i−iii
χ81111111111111-1-1111-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii11111-1-1-1-1-1-1-1-1-1-1ii−i−i11−i−iii−i−i−i−iiiii-1-111i−i1ii−i−i
χ911111111-1-1-1-111111111111-1-11-1-11111111111111-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-11-11-1
χ1011111111-1-1-1-111111111111-1-11-1-1111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111-11-111-1-11-11
χ1111111111-1-1-1-1111111-1-1-1-11-1-11-1-11-1-1iiii−i−i−i−i11-1-1-111-1-1-1-11111ii−i−i-1-1ii−i−i−i−i−i−iiiii1-1-11−ii1i−i−ii
χ1211111111-1-1-1-1111111-1-1-1-11-1-11-1-11-1-1−i−i−i−iiiii11-1-1-111-1-1-1-11111−i−iii-1-1−i−iiiiiii−i−i−i−i1-1-11i−i1−iii−i
χ1311111111-1-1-1-11-1-11111111-1111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-11-11
χ1411111111-1-1-1-11-1-11111111-1111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-11-11-1-111-11-1
χ1511111111-1-1-1-11-1-1111-1-1-1-1-1111-1-11-1-1iiii−i−i−i−i11-1-1-1-1-111-1-11111−i−iii11ii−i−i−i−i−i−iiiii-111-1i−i-1−iii−i
χ1611111111-1-1-1-11-1-1111-1-1-1-1-1111-1-11-1-1−i−i−i−iiiii11-1-1-1-1-111-1-11111ii−i−i11−i−iiiiiii−i−i−i−i-111-1−ii-1i−i−ii
χ17111111-1-111-1-11111111111-1-1111111111111111-1-11-1-11111-1-11-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1-1
χ18111111-1-111-1-11111111111-1-11111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-11-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111111
χ19111111-1-111-1-1111111-1-1-1-1-1-111111-1-1iiii−i−i−i−i-1-11-1-1111111-111-1ii−i−i-1-1−i−iiiii−i−i−i−iii-1-111i−i-1−i−iii
χ20111111-1-111-1-1111111-1-1-1-1-1-111111-1-1−i−i−i−iiiii-1-11-1-1111111-111-1−i−iii-1-1ii−i−i−i−iiiii−i−i-1-111−ii-1ii−i−i
χ21111111-1-111-1-11-1-1111111111-111111111111111-1-11-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-11111
χ22111111-1-111-1-11-1-1111111111-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-111111-1-11111-1-111-1-111111111-1-1-1-1-1
χ23111111-1-111-1-11-1-1111-1-1-1-111-11111-1-1iiii−i−i−i−i-1-11-1-1-1-1-1-111-111-1−i−iii11−i−iiiii−i−i−i−iii11-1-1−ii1ii−i−i
χ24111111-1-111-1-11-1-1111-1-1-1-111-11111-1-1−i−i−i−iiiii-1-11-1-1-1-1-1-111-111-1ii−i−i11ii−i−i−i−iiiii−i−i11-1-1i−i1−i−iii
χ25111111-1-1-1-1111111111111-11-11-1-111111111111-1-1-11111-1-1-1-1-111-1111111-1-1-1-1-1-111-1-111-11-11-1-1-1-11-11
χ26111111-1-1-1-1111111111111-11-11-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-111111111-1-111-1-1-11-1111-11-11-1
χ27111111-1-1-1-111111111-1-1-1-1-11-11-1-11-1-1iiii−i−i−i−i-1-1-11111-1-1111-1-11ii−i−i-1-1−i−iii−i−iiiii−i−i-111-1−ii1−iii−i
χ28111111-1-1-1-111111111-1-1-1-1-11-11-1-11-1-1−i−i−i−iiiii-1-1-11111-1-1111-1-11−i−iii-1-1ii−i−iii−i−i−i−iii-111-1i−i1i−i−ii
χ29111111-1-1-1-1111-1-111111111-111-1-111111111111-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-11111-11-1
χ30111111-1-1-1-1111-1-111111111-111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-11111-1-1111111-1-111-1-11-11-1-1-11-11-11
χ31111111-1-1-1-1111-1-1111-1-1-1-11-111-1-11-1-1iiii−i−i−i−i-1-1-111-1-111111-1-11−i−iii11−i−iii−i−iiiii−i−i1-1-11i−i-1i−i−ii
χ32111111-1-1-1-1111-1-1111-1-1-1-11-111-1-11-1-1−i−i−i−iiiii-1-1-111-1-111111-1-11ii−i−i11ii−i−iii−i−i−i−iii1-1-11−ii-1−iii−i
χ332222-2-2002-2002002222222000-222-2-2-222-2-222-2-200-200000000-200200000000002-2002-20000000000000
χ342222-2-2002-2002002222222000-222-2-2-2-2-222-2-22200-200000000-20020000000000-2200-220000000000000
χ352222-2-2002-200200222-2-2-2-2000-222-2222i2i−2i−2i−2i−2i2i2i00-200000000200-200000000002i−2i00−2i2i0000000000000
χ362222-2-2002-200200222-2-2-2-2000-222-222−2i−2i2i2i2i2i−2i−2i00-200000000200-20000000000−2i2i002i−2i0000000000000
χ372222-2-200-22002002222222000-2-2-2-2-2-222-2-222-2-200200000000200-20000000000-2200-220000000000000
χ382222-2-200-22002002222222000-2-2-2-2-2-2-2-222-2-22200200000000200-200000000002-2002-20000000000000
χ392222-2-200-2200200222-2-2-2-2000-2-2-2-2222i2i−2i−2i−2i−2i2i2i00200000000-20020000000000−2i2i002i−2i0000000000000
χ402222-2-200-2200200222-2-2-2-2000-2-2-2-222−2i−2i2i2i2i2i−2i−2i00200000000-200200000000002i−2i00−2i2i0000000000000
χ4122-2-22-22-200002002-2-222-2-2000200-22-22-22-22-22-22-200000002-200000000002-22-20000000000000000000
χ4222-2-22-22-200002002-2-222-2-2000200-22-2-22-22-22-222-200000002-20000000000-22-220000000000000000000
χ4322-2-22-22-200002002-2-2-2-222000200-2-222i−2i2i−2i−2i2i−2i2i2-20000000-2200000000002i−2i−2i2i0000000000000000000
χ4422-2-22-22-200002002-2-2-2-222000200-2-22−2i2i−2i2i2i−2i2i−2i2-20000000-220000000000−2i2i2i−2i0000000000000000000
χ4522-2-22-2-2200002002-2-222-2-2000200-22-22-22-22-22-2-220000000-220000000000-22-220000000000000000000
χ4622-2-22-2-2200002002-2-222-2-2000200-22-2-22-22-22-22-220000000-2200000000002-22-20000000000000000000
χ4722-2-22-2-2200002002-2-2-2-222000200-2-222i−2i2i−2i−2i2i−2i2i-2200000002-20000000000−2i2i2i−2i0000000000000000000
χ4822-2-22-2-2200002002-2-2-2-222000200-2-22−2i2i−2i2i2i−2i2i−2i-2200000002-200000000002i−2i−2i2i0000000000000000000
χ4922-2-2-2200002i−2i2002-2-222-2-2000-2002-222-2-222-2-220002i−2i00000002i−2i00000000000002i−2i002i−2i00000000000
χ5022-2-2-2200002i−2i2002-2-222-2-2000-2002-22-222-2-222-20002i−2i00000002i−2i0000000000000−2i2i00−2i2i00000000000
χ5122-2-2-2200002i−2i2002-2-2-2-222000-20022-22i−2i−2i2i−2i2i2i−2i0002i−2i0000000−2i2i0000000000000-22002-200000000000
χ5222-2-2-2200002i−2i2002-2-2-2-222000-20022-2−2i2i2i−2i2i−2i−2i2i0002i−2i0000000−2i2i00000000000002-200-2200000000000
χ5322-2-2-220000−2i2i2002-2-222-2-2000-2002-222-2-222-2-22000−2i2i0000000−2i2i0000000000000−2i2i00−2i2i00000000000
χ5422-2-2-220000−2i2i2002-2-222-2-2000-2002-22-222-2-222-2000−2i2i0000000−2i2i00000000000002i−2i002i−2i00000000000
χ5522-2-2-220000−2i2i2002-2-2-2-222000-20022-22i−2i−2i2i−2i2i2i−2i000−2i2i00000002i−2i00000000000002-200-2200000000000
χ5622-2-2-220000−2i2i2002-2-2-2-222000-20022-2−2i2i2i−2i2i−2i−2i2i000−2i2i00000002i−2i0000000000000-22002-200000000000
χ57444444444444-144-1-1-10000444-1-1-1-10000000000-1-1-1-1-1-1-1-1-1000000000000000000000000-1-1000000000
χ58444444444444-1-4-4-1-1-10000-4-4-4-1-1-1-10000000000-1-1-1-1-1111100000000000000000000000011000000000
χ5944444444-4-4-4-4-144-1-1-100004-4-4-111-10000000000-1-1111-1-111000000000000000000000000-11000000000
χ6044444444-4-4-4-4-1-4-4-1-1-10000-444-111-10000000000-1-111111-1-10000000000000000000000001-1000000000
χ61444444-4-444-4-4-144-1-1-10000-4-44-1-1-1-1000000000011-111-1-1-1-100000000000000000000000011000000000
χ62444444-4-444-4-4-1-4-4-1-1-1000044-4-1-1-1-1000000000011-1111111000000000000000000000000-1-1000000000
χ63444444-4-4-4-444-144-1-1-10000-44-4-111-10000000000111-1-1-1-1110000000000000000000000001-1000000000
χ64444444-4-4-4-444-1-4-4-1-1-100004-44-111-10000000000111-1-111-1-1000000000000000000000000-11000000000
χ654-44-40000000042i2−2i2-4-444i−4i4i−4i00000000000000000000002i2−2i200000000000022−2200000000000000000000000
χ664-44-40000000042i2−2i2-4-44−4i4i−4i4i00000000000000000000002i2−2i2000000000000−222200000000000000000000000
χ674-44-4000000004−2i22i2-4-444i−4i4i−4i0000000000000000000000−2i22i2000000000000−222200000000000000000000000
χ684-44-4000000004−2i22i2-4-44−4i4i−4i4i0000000000000000000000−2i22i200000000000022−2200000000000000000000000
χ694-4-4400000000400-44-44i−4i−4i4i000000000000000000000000000000002−2i−2+2i2+2i−2−2i0000000000000000000000000
χ704-4-4400000000400-44-44i−4i−4i4i00000000000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000000
χ714-4-4400000000400-44-4−4i4i4i−4i000000000000000000000000000000002+2i−2−2i2−2i−2+2i0000000000000000000000000
χ724-4-4400000000400-44-4−4i4i4i−4i00000000000000000000000000000000−2−2i2+2i−2+2i2−2i0000000000000000000000000
χ738888-8-8008-800-200-2-2-200000002-2-22000000000000200000000000000000000000000000000000000000
χ748888-8-800-8800-200-2-2-200000002222000000000000-200000000000000000000000000000000000000000
χ7588-8-88-88-80000-200-2220000000-20020000000000-22000000000000000000000000000000000000000000
χ7688-8-88-8-880000-200-2220000000-200200000000002-2000000000000000000000000000000000000000000
χ7788-8-8-8800008i−8i-200-2220000000200-20000000000000−2i2i000000000000000000000000000000000000000
χ7888-8-8-880000−8i8i-200-2220000000200-200000000000002i−2i000000000000000000000000000000000000000
χ798-88-800000000-24i2−4i222-20000000025−250000000000000000−i2i2i10−i1000000000000000000000000000000000000
χ808-88-800000000-24i2−4i222-200000000−25250000000000000000−i2i2−i10i1000000000000000000000000000000000000
χ818-88-800000000-2−4i24i222-20000000025−250000000000000000i2−i2−i10i1000000000000000000000000000000000000
χ828-88-800000000-2−4i24i222-200000000−25250000000000000000i2−i2i10−i1000000000000000000000000000000000000
χ8316-16-161600000000-4004-4400000000000000000000000000000000000000000000000000000000000000000

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