Finite Group Databasebeta

← Group #68921

Character table — Group #68921

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222222222244444444444444448888888888882424242424242424
order1222223444466612121212668888121224242424242424248888242424242424242424444488
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111
χ92222222-2-2-2-2222-2-2-2-2220000-2-2000000000000000000000000002i−2i
χ102222222-2-2-2-2222-2-2-2-2220000-2-200000000000000000000000000−2i2i
χ11222222-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ12222222-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000
χ13222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111122-2-2-1-1-1-1111100000000
χ14222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111-2-2221111-1-1-1-100000000
χ152222-2-2222-2-22222222-2-20000-2-2000000000000000000002-2000000
χ162222-2-2222-2-22222222-2-20000-2-200000000000000000000-22000000
χ172222-2-22-2-222222-2-2-2-2-2-222-2-2222222-2-2-2-200000000000000000000
χ182222-2-22-2-222222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000
χ192222-2-2-1-2-222-1-1-111111122-2-2-1-1-1-1-1-11111000033−3−333−3−300000000
χ202222-2-2-1-2-222-1-1-111111122-2-2-1-1-1-1-1-111110000−3−333−3−33300000000
χ212222-2-2-1-2-222-1-1-1111111-2-222-1-11111-1-1-1-1000033−3−3−3−33300000000
χ222222-2-2-1-2-222-1-1-1111111-2-222-1-11111-1-1-1-10000−3−33333−3−300000000
χ232-22-22-222-22-2-2-2222-2-22-20000-220000000000000000000000002i−2i00
χ242-22-22-222-22-2-2-2222-2-22-20000-22000000000000000000000000−2i2i00
χ252-22-22-22-22-22-2-22-2-2222-200002-2000000002i−2i002i−2i2i−2i000000000000
χ262-22-22-22-22-22-2-22-2-2222-200002-200000000−2i2i00−2i2i−2i2i000000000000
χ272-22-22-2-1-22-2211-111-1-1-110000-1133−3−333−3−32i−2i00−ii−ii−i3i3−i3i300000000
χ282-22-22-2-1-22-2211-111-1-1-110000-1133−3−333−3−3−2i2i00i−ii−ii3−i3i3−i300000000
χ292-22-22-2-1-22-2211-111-1-1-110000-11−3−333−3−3332i−2i00−ii−iii3−i3i3−i300000000
χ302-22-22-2-1-22-2211-111-1-1-110000-11−3−333−3−333−2i2i00i−ii−i−i3i3−i3i300000000
χ312-22-2-2222-2-22-2-2222-2-2-2200002-200000000002i−2i00002i−2i−2i2i00000000
χ322-22-2-2222-2-22-2-2222-2-2-2200002-20000000000−2i2i0000−2i2i2i−2i00000000
χ332-22-2-222-222-2-2-22-2-222-220000-2200000000000000000000002i−2i0000
χ342-22-2-222-222-2-2-22-2-222-220000-220000000000000000000000−2i2i0000
χ352-22-2-22-12-2-2211-1-1-1111-10000-1133−3−3−3−333002i−2ii3−i3−i3i3−iii−i00000000
χ362-22-2-22-12-2-2211-1-1-1111-10000-1133−3−3−3−33300−2i2i−i3i3i3−i3i−i−ii00000000
χ372-22-2-22-12-2-2211-1-1-1111-10000-11−3−33333−3−3002i−2i−i3i3i3−i3−iii−i00000000
χ382-22-2-22-12-2-2211-1-1-1111-10000-11−3−33333−3−300−2i2ii3−i3−i3i3i−i−ii00000000
χ39444444-2-4-4-4-4-2-2-22222-2-20000220000000000000000000000000000
χ404444-4-4-244-4-4-2-2-2-2-2-2-2220000220000000000000000000000000000
χ4144-4-400400004-4-40000000022−2200000022−2222−2200000000000000000000
χ4244-4-400400004-4-400000000−2222000000−2222−222200000000000000000000
χ4344-4-400-20000-22223−2323−23000022−22006−66−6−22−2200000000000000000000
χ4444-4-400-20000-22223−2323−230000−222200−66−662−22−200000000000000000000
χ4544-4-400-20000-222−2323−2323000022−2200−66−66−22−2200000000000000000000
χ4644-4-400-20000-222−2323−23230000−2222006−66−62−22−200000000000000000000
χ474-44-44-4-24-44-422-2-2-222-2200002-20000000000000000000000000000
χ484-44-4-44-2-444-422-222-2-22-200002-20000000000000000000000000000
χ494-4-440040000-44-400000022−22000022−22−2222000000000000000000000000
χ504-4-440040000-44-4000000−22220000−222222−22000000000000000000000000
χ514-4-4400-200002-2223−23−23230022−220000−222−26−6−6600000000000000000000
χ524-4-4400-200002-2223−23−232300−222200002−2−22−666−600000000000000000000
χ534-4-4400-200002-22−232323−230022−220000−222−2−666−600000000000000000000
χ544-4-4400-200002-22−232323−2300−222200002−2−226−6−6600000000000000000000

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