Finite Group Databasebeta

← Group #70716

Character table — Group #70716

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222222222244444444444444448888888888882424242424242424
order1222223444466612121212668888121224242424242424248888242424242424242424444488
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1
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
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111
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
χ152222-2-222-22-22222222-2-20000-2-200000000000000000000200-20000
χ162222-2-222-22-22222222-2-20000-2-200000000000000000000-20020000
χ172222-2-22-22-22222-2-2-2-2-2-222-2-2222222-2-2-2-200000000000000000000
χ182222-2-22-22-22222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000
χ192222-2-2-1-22-22-1-1-111111122-2-2-1-1-1-1-1-11111000033−3−333−3−300000000
χ202222-2-2-1-22-22-1-1-111111122-2-2-1-1-1-1-1-111110000−3−333−3−33300000000
χ212222-2-2-1-22-22-1-1-1111111-2-222-1-11111-1-1-1-1000033−3−3−3−33300000000
χ222222-2-2-1-22-22-1-1-1111111-2-222-1-11111-1-1-1-10000−3−33333−3−300000000
χ232-2-222-2222-2-2-2-2222-2-22-20000-22000000002i−2i002i−2i2i−2i000000000000
χ242-2-222-2222-2-2-2-2222-2-22-20000-2200000000−2i2i00−2i2i−2i2i000000000000
χ252-2-222-22-2-222-2-22-2-2222-200002-20000000000000000000000002-200
χ262-2-222-22-2-222-2-22-2-2222-200002-2000000000000000000000000-2200
χ272-2-222-2-122-2-211-1-1-111-1100001-1−i3−i3i3i3−i3−i3i3i32i−2i00−ii−ii3−33−300000000
χ282-2-222-2-122-2-211-1-1-111-1100001-1−i3−i3i3i3−i3−i3i3i3−2i2i00i−ii−i−33−3300000000
χ292-2-222-2-122-2-211-1-1-111-1100001-1i3i3−i3−i3i3i3−i3−i32i−2i00−ii−ii−33−3300000000
χ302-2-222-2-122-2-211-1-1-111-1100001-1i3i3−i3−i3i3i3−i3−i3−2i2i00i−ii−i3−33−300000000
χ312-2-22-2222-2-22-2-2222-2-2-2200002-20000000000000000000002i−2i00000
χ322-2-22-2222-2-22-2-2222-2-2-2200002-2000000000000000000000−2i2i00000
χ332-2-22-222-222-2-2-22-2-222-220000-2200000000002-200002-2-2200000000
χ342-2-22-222-222-2-2-22-2-222-220000-220000000000-220000-222-200000000
χ352-2-22-22-1-222-211-111-1-11-100001-1−i3−i3i3i3i3i3−i3−i3002-2−i3i3i3−i3-111-100000000
χ362-2-22-22-1-222-211-111-1-11-100001-1−i3−i3i3i3i3i3−i3−i300-22i3−i3−i3i31-1-1100000000
χ372-2-22-22-1-222-211-111-1-11-100001-1i3i3−i3−i3−i3−i3i3i3002-2i3−i3−i3i3-111-100000000
χ382-2-22-22-1-222-211-111-1-11-100001-1i3i3−i3−i3−i3−i3i3i300-22−i3i3i3−i31-1-1100000000
χ39444444-2-4-4-4-4-2-2-22222-2-20000220000000000000000000000000000
χ404444-4-4-24-44-4-2-2-2-2-2-2-2220000220000000000000000000000000000
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
χ474-44-40040000-44-4000000−2i22i20000−2i22i22i2−2i2000000000000000000000000
χ484-44-40040000-44-40000002i2−2i200002i2−2i2−2i22i2000000000000000000000000
χ494-44-400-200002-2223−23−232300−2i22i20000i2−i2−i2i2i6−i6−i6i600000000000000000000
χ504-44-400-200002-2223−23−2323002i2−2i20000−i2i2i2−i2−i6i6i6−i600000000000000000000
χ514-44-400-200002-22−232323−2300−2i22i20000i2−i2−i2i2−i6i6i6−i600000000000000000000
χ524-44-400-200002-22−232323−23002i2−2i20000−i2i2i2−i2i6−i6−i6i600000000000000000000
χ534-4-444-4-2-4-44422-222-2-2-220000-220000000000000000000000000000
χ544-4-44-44-24-4-4422-2-2-2222-20000-220000000000000000000000000000

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