Finite Group Databasebeta

← Group #13026580

Character table — Group #13026580

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11222444444445588888888888101010161616161616161616161616202020204040404040404040404040404080808080
order1224424588102020448888810101020202022440404040404040404040404024888888816161616161616168888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1
χ41111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−ii−ii−i
χ61111111111111-1-111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−ii−ii
χ71111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111iiii−i−i−i−i−ii−ii
χ81111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111−i−i−i−iiiiii−ii−i
χ911111-1-111111111-111-1-11-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1-111-1-111-1-111-1-1
χ1011111-1-111111111-111-1-11-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1-1-1-111-1-111-1-111
χ1111111-1-111111111-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-11111-1-111-1-1-1-111
χ1211111-1-111111111-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-111-1-111-1-11111-1-1
χ1311111-1-1111111-1-1-111-1-11-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-11-1-111ii−i−i−i−iiii−i−ii
χ1411111-1-1111111-1-1-111-1-11-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-11-1-111−i−iiiii−i−i−iii−i
χ1511111-1-1111111-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1111111-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ1611111-1-1111111-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1111111-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222-2-222222-2000022222222200000000-2-2-2-222-2-2-20000000000000000
χ1822222222-2-2222-2-2-20000222222-2-2-200000000-2-2-2-2-2-22220000000000000000
χ1922222-2-22-2-222222200002-2-2-2-2222200000000-2-222-2-2-2-220000000000000000
χ2022222-2-22-2-2222-2-2200002-2-2-2-22-2-2-200000000-2-2222222-20000000000000000
χ21222-2-22-22002-2-22200000222-2-2-2-2-22000000000000-220000000i2−i2i2−i2i2−i2i2−i20000
χ22222-2-22-22002-2-22200000222-2-2-2-2-22000000000000-220000000−i2i2−i2i2−i2i2−i2i20000
χ23222-2-22-22002-2-2-2-200000222-2-2-222-20000000000002-200000002−22−2−22−220000
χ24222-2-22-22002-2-2-2-200000222-2-2-222-20000000000002-20000000−22−222−22−20000
χ25222-2-2-222002-2-222000002-2-222-2-2-220000000000002-20000000i2−i2−i2i2i2−i2−i2i20000
χ26222-2-2-222002-2-222000002-2-222-2-2-220000000000002-20000000−i2i2i2−i2−i2i2i2−i20000
χ27222-2-2-222002-2-2-2-2000002-2-222-222-2000000000000-2200000002−2−22−222−20000
χ28222-2-2-222002-2-2-2-2000002-2-222-222-2000000000000-220000000−222−22−2−220000
χ2922-22-20022-22-2-2220002i−2i-2000022-2-200002i2i−2i−2i2-200002-20002i−2i000000000000
χ3022-22-20022-22-2-222000−2i2i-2000022-2-20000−2i−2i2i2i2-200002-2000−2i2i000000000000
χ3122-22-20022-22-2-2-2-20002i−2i-200002-22200002i2i−2i−2i2-20000-22000−2i2i000000000000
χ3222-22-20022-22-2-2-2-2000−2i2i-200002-2220000−2i−2i2i2i2-20000-220002i−2i000000000000
χ3322-22-2002-222-2-22202i−2i00-2000022-2-22i2i−2i−2i0000-220000-2202i−2i00000000000000
χ3422-22-2002-222-2-2220−2i2i00-2000022-2-2−2i−2i2i2i0000-220000-220−2i2i00000000000000
χ3522-22-2002-222-2-2-2-202i−2i00-200002-2222i2i−2i−2i0000-2200002-20−2i2i00000000000000
χ3622-22-2002-222-2-2-2-20−2i2i00-200002-222−2i−2i2i2i0000-2200002-202i−2i00000000000000
χ374444444-144-1-1-10044444-1-1-1-1-1-1000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ384444444-144-1-1-1004-4-4-4-4-1-1-1-1-1-100011111111-1-1-1-1000000000000000000000
χ394444444-1-4-4-1-1-100-40000-1-1-1-1-1-10005−55−55−55−51111000000000000000000000
χ404444444-1-4-4-1-1-100-40000-1-1-1-1-1-1000−55−55−55−551111000000000000000000000
χ4144444-4-4-144-1-1-100-444-4-4-11111-1000-1-1-1-11111-1-111000000000000000000000
χ4244444-4-4-144-1-1-100-4-4-444-11111-10001111-1-1-1-1-1-111000000000000000000000
χ4344444-4-4-1-4-4-1-1-10040000-11111-10005−55−5−55−5511-1-1000000000000000000000
χ4444444-4-4-1-4-4-1-1-10040000-11111-1000−55−555−55−511-1-1000000000000000000000
χ4544-44-400-14-4-111000004i−4i15−55−5-1000i5−i5−i5i5−i−iii-115−5000000000000000000000
χ4644-44-400-14-4-111000004i−4i1−55−55-1000−i5i5i5−i5−i−iii-11−55000000000000000000000
χ4744-44-400-14-4-11100000−4i4i15−55−5-1000−i5i5i5−i5ii−i−i-115−5000000000000000000000
χ4844-44-400-14-4-11100000−4i4i1−55−55-1000i5−i5−i5i5ii−i−i-11−55000000000000000000000
χ4944-44-400-1-44-1110004i−4i0015−55−5-1000−i−iiii5−i5−i5i51-1−55000000000000000000000
χ5044-44-400-1-44-1110004i−4i001−55−55-1000−i−iii−i5i5i5−i51-15−5000000000000000000000
χ5144-44-400-1-44-111000−4i4i0015−55−5-1000ii−i−i−i5i5i5−i51-1−55000000000000000000000
χ5244-44-400-1-44-111000−4i4i001−55−55-1000ii−i−ii5−i5−i5i51-15−5000000000000000000000
χ5344-4-44004004444400000-40000-4-44-4000000000000000000000000000000000
χ5444-4-4400400444-4-400000-40000-44-44000000000000000000000000000000000
χ55888-8-88-8-200-2220000000-2-2-2222000000000000000000000000000000000000
χ56888-8-8-88-200-2220000000-222-2-22000000000000000000000000000000000000
χ5788-8-8800-200-2-2-20000000225−25−25252000000000000000000000000000000000000
χ5888-8-8800-200-2-2-200000002−252525−252000000000000000000000000000000000000
χ598-800000800-8008i−8i00000000000000000000000000000000000000000000000
χ608-800000800-800−8i8i00000000000000000000000000000000000000000000000
χ6116-1600000-40044i5−4i50000000000000000000000000000000000000000000000000
χ6216-1600000-4004−4i54i50000000000000000000000000000000000000000000000000

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