Finite Group Databasebeta

← Group #10604848

Character table — Group #10604848

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122222244445555888888881010101010101010101010101010101010101010101016161616404040404040
order12224488885101010222244202040404040444444444488888888888820202020444444
χ11111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111111111-1iiii−i−i−i−i-1-1-1-1-1iiii−i−i−i−i1111-1-1ii−i−i
χ611111111111111-1-1-1-111111111-1−i−i−i−iiiii-1-1-1-1-1−i−i−i−iiiii1111-1-1−i−iii
χ711111111111111-1-1-1-1-1-1111111-1iiii−i−i−i−i-1-1-1-1-1iiii−i−i−i−i-1-1-1-111−i−iii
χ811111111111111-1-1-1-1-1-1111111-1−i−i−i−iiiii-1-1-1-1-1−i−i−i−iiiii-1-1-1-111ii−i−i
χ9111111-1-1-1-1111111111-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111-1-1-1-1111111111-111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-11-1-11-11
χ11111111-1-1-1-111111111-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ12111111-1-1-1-111111111-1111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-111111111-1-111-111-11-1
χ13111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1iiii−i−i−i−i-11111−i−i−i−iiiii11-1-1-11i−i−ii
χ14111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1−i−i−i−iiiii-11111iiii−i−i−i−i11-1-1-11−iii−i
χ15111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1iiii−i−i−i−i-11111−i−i−i−iiiii-1-1111-1−iii−i
χ16111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1−i−i−i−iiiii-11111iiii−i−i−i−i-1-1111-1i−i−ii
χ172222-2-200002222222200-2-20000-222-2-222-2-2-20000000000000000000000
χ182222-2-200002222222200-2-20000-2-2-222-2-222-20000000000000000000000
χ192222-2-200002222-2-2-2-200-2-2000022i2i−2i−2i−2i−2i2i2i20000000000000000000000
χ202222-2-200002222-2-2-2-200-2-200002−2i−2i2i2i2i2i−2i−2i20000000000000000000000
χ2122-2-20022−2−222-2-222-2-2000022−2−20002-2002-2022−2−222−2−222−2−20000000000
χ2222-2-20022−2−222-2-222-2-2000022−2−2000-2200-22022−2−2−2−222−2−2220000000000
χ2322-2-20022−2−222-2-2-2-222000022−2−20002i−2i00−2i2i0−2−222i2i2−i2−i2−i2−i2i2i20000000000
χ2422-2-20022−2−222-2-2-2-222000022−2−2000−2i2i002i−2i0−2−222−i2−i2i2i2i2i2−i2−i20000000000
χ2522-2-200−2−22222-2-222-2-20000−2−2220002-2002-20−2−222−2−222−2−2220000000000
χ2622-2-200−2−22222-2-222-2-20000−2−222000-2200-220−2−22222−2−222−2−20000000000
χ2722-2-200−2−22222-2-2-2-2220000−2−2220002i−2i00−2i2i022−2−2−i2−i2i2i2i2i2−i2−i20000000000
χ2822-2-200−2−22222-2-2-2-2220000−2−222000−2i2i002i−2i022−2−2i2i2−i2−i2−i2−i2i2i20000000000
χ292-22-2002−22−22-22-22-22-200002−22−202-2002-20002−22−22−22−22−22−20000000000
χ302-22-2002−22−22-22-22-22-200002−22−20-2200-220002−22−2−22−22−22−220000000000
χ312-22-2002−22−22-22-2-22-2200002−22−202i−2i00−2i2i000−22−22i2−i2i2−i2−i2i2−i2i20000000000
χ322-22-2002−22−22-22-2-22-2200002−22−20−2i2i002i−2i000−22−22−i2i2−i2i2i2−i2i2−i20000000000
χ332-22-200−22−222-22-22-22-20000−22−2202-2002-2000−22−22−22−22−22−220000000000
χ342-22-200−22−222-22-22-22-20000−22−220-2200-22000−22−222−22−22−22−20000000000
χ352-22-200−22−222-22-2-22-220000−22−2202i−2i00−2i2i0002−22−2−i2i2−i2i2i2−i2i2−i20000000000
χ362-22-200−22−222-22-2-22-220000−22−220−2i2i002i−2i0002−22−2i2−i2i2−i2−i2i2−i2i20000000000
χ372-2-222-200002-2-222-2-22002-20000-200000000200002-2-222-2-220000000000
χ382-2-222-200002-2-222-2-22002-20000-20000000020000-222-2-222-20000000000
χ392-2-222-200002-2-22-222-2002-20000200000000-200002i−2i−2i2i−2i2i2i−2i0000000000
χ402-2-222-200002-2-22-222-2002-20000200000000-20000−2i2i2i−2i2i−2i−2i2i0000000000
χ412-2-22-222-2-222-2-222-2-2200-222-2-22200000000-22-2-22000000000000000000
χ422-2-22-222-2-222-2-22-222-200-222-2-22-2000000002-222-2000000000000000000
χ432-2-22-22-222-22-2-222-2-2200-22-222-2200000000-2-222-2000000000000000000
χ442-2-22-22-222-22-2-22-222-200-22-222-2-20000000022-2-22000000000000000000
χ454444444444-1-1-1-1000044-1-1-1-1-1-10000000000000000000000-1-1-1-1000000
χ464444444444-1-1-1-10000-4-4-1-1-1-1-1-100000000000000000000001111000000
χ47444444-4-4-4-4-1-1-1-100004-4-1-111110000000000000000000000-1-111000000
χ48444444-4-4-4-4-1-1-1-10000-44-1-11111000000000000000000000011-1-1000000
χ494-4-44-444-4-44-111-10000001-1-111-100000000000000000000005−55−5000000
χ504-4-44-444-4-44-111-10000001-1-111-10000000000000000000000−55−55000000
χ514-4-44-44-444-4-111-10000001-11-1-1100000000000000000000005−5−55000000
χ524-4-44-44-444-4-111-10000001-11-1-110000000000000000000000−555−5000000
χ538888-8-80000-2-2-2-200000022000000000000000000000000000000000000
χ5488-8-8004242−42−42-2-22200000000−2−22200000000000000000000000000000000
χ5588-8-800−42−424242-2-2220000000022−2−200000000000000000000000000000000
χ568-88-80042−4242−42-22-2200000000−22−2200000000000000000000000000000000
χ578-88-800−4242−4242-22-22000000002−22−200000000000000000000000000000000
χ588-8-888-80000-222-2000000-22000000000000000000000000000000000000

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