Finite Group Databasebeta

← Group #11721299

Character table — Group #11721299

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order12222236666633666666666636666666664444121212121212121244441212121212121212
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ51111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ61111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ71111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ81111-1-11111-1-111111-1-1-1-11111-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ92222222222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-100000000000002020000-1-1-1-1
χ102222222222222-122-12222-1-12-1-1-1-1-1-1-1-1-1-10000000000000-20-200001111
χ11222222222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ12222222222222-12-1-12-1-1-1-122-1-122-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ132222-2-22222-2-22-122-1-2-2-2-2-1-12-111-1-1-11111000000000000020-20000-1-111
χ142222-2-22222-2-22-122-1-2-2-2-2-1-12-111-1-1-111110000000000000-202000011-1-1
χ152222-2-22222-2-2-12-1-12111122-1-1-2-2-1-1-1111122-2-2-1-1-1-11111000000000000
χ162222-2-22222-2-2-12-1-12111122-1-1-2-2-1-1-11111-2-2221111-1-1-1-1000000000000
χ1722-2-22-222-2-22-2222-2222-2-2-2-2-222-22-2-222-2-2000000000000000000000000
χ1822-2-22-222-2-22-22-12-2-122-2-211-2-1-11-111-1-111000000000000000000003−33−3
χ1922-2-22-222-2-22-22-12-2-122-2-211-2-1-11-111-1-11100000000000000000000−33−33
χ2022-2-22-222-2-22-2-12-112-1-111-2-21-12-2-111-1-111000033−3−333−3−3000000000000
χ2122-2-22-222-2-22-2-12-112-1-111-2-21-12-2-111-1-1110000−3−333−3−333000000000000
χ2222-2-2-2222-2-2-22222-22-2-222-2-2-22-222-2-2-2-222000000000000000000000000
χ2322-2-2-2222-2-2-222-12-2-1-2-22211-2-11-1-11111-1-1000000000000000000003−3−33
χ2422-2-2-2222-2-2-222-12-2-1-2-22211-2-11-1-11111-1-100000000000000000000−333−3
χ2522-2-2-2222-2-2-22-12-11211-1-1-2-21-1-22-11111-1-1000033−3−3−3−333000000000000
χ2622-2-2-2222-2-2-22-12-11211-1-1-2-21-1-22-11111-1-10000−3−33333−3−3000000000000
χ272-22-2002-22-20022-22-200002-2-2200-22-20000002i−2i00002i−2i2i−2i000000000000
χ282-22-2002-22-20022-22-200002-2-2200-22-2000000−2i2i0000−2i2i−2i2i000000000000
χ292-22-2002-22-200-121-1-2−i3i3−i3i32-21-1001-11−i3i3−i3i3002i−2i3−33−3−ii−ii000000000000
χ302-22-2002-22-200-121-1-2−i3i3−i3i32-21-1001-11−i3i3−i3i300−2i2i−33−33i−ii−i000000000000
χ312-22-2002-22-200-121-1-2i3−i3i3−i32-21-1001-11i3−i3i3−i3002i−2i−33−33−ii−ii000000000000
χ322-22-2002-22-200-121-1-2i3−i3i3−i32-21-1001-11i3−i3i3−i300−2i2i3−33−3i−ii−i000000000000
χ332-2-22002-2-220022-2-2-20000-222200-2-2200002-2002-2-220000000000000000
χ342-2-22002-2-220022-2-2-20000-222200-2-220000-2200-222-20000000000000000
χ352-2-22002-2-2200-1211-2−i3i3i3−i3-22-1-10011-1−i3i3i3−i32-200-111-1−i3i3i3−i3000000000000
χ362-2-22002-2-2200-1211-2−i3i3i3−i3-22-1-10011-1−i3i3i3−i3-22001-1-11i3−i3−i3i3000000000000
χ372-2-22002-2-2200-1211-2i3−i3−i3i3-22-1-10011-1i3−i3−i3i32-200-111-1i3−i3−i3i3000000000000
χ382-2-22002-2-2200-1211-2i3−i3−i3i3-22-1-10011-1i3−i3−i3i3-22001-1-11−i3i3i3−i3000000000000
χ39444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111000000000000000000000000
χ404444-4-44444-4-4-2-2-2-2-22222-2-2-2122111-1-1-1-1000000000000000000000000
χ4144-4-44-444-4-44-4-2-2-22-2-2-2222221-221-1-111-1-1000000000000000000000000
χ4244-4-4-4444-4-4-44-2-2-22-222-2-222212-21-1-1-1-111000000000000000000000000
χ434-44-4004-44-4004-2-4420000-22-4-2002-220000000000000000000000000000
χ444-44-4004-44-400-2-22-22−2i32i3−2i32i3-222100-11-1i3−i3i3−i3000000000000000000000000
χ454-44-4004-44-400-2-22-222i3−2i32i3−2i3-222100-11-1−i3i3−i3i3000000000000000000000000
χ464-4-44004-4-44004-2-4-4200002-24-20022-20000000000000000000000000000
χ474-4-44004-4-4400-2-2222−2i32i32i3−2i32-2-2100-1-11i3−i3−i3i3000000000000000000000000
χ484-4-44004-4-4400-2-22222i3−2i3−2i32i32-2-2100-1-11−i3i3i3−i3000000000000000000000000
χ49666666-3-3-3-3-3-300000000000000000000000000000000002020-1-1-1-10000
χ50666666-3-3-3-3-3-30000000000000000000000000000000000-20-2011110000
χ516666-6-6-3-3-3-333000000000000000000000000000000000020-20-1-1110000
χ526666-6-6-3-3-3-3330000000000000000000000000000000000-202011-1-10000
χ5366-6-66-6-3-333-33000000000000000000000000000000000000003−33−30000
χ5466-6-66-6-3-333-3300000000000000000000000000000000000000−33−330000
χ5566-6-6-66-3-3333-3000000000000000000000000000000000000003−3−330000
χ5666-6-6-66-3-3333-300000000000000000000000000000000000000−333−30000
χ5712-1212-1200-66-66000000000000000000000000000000000000000000000000
χ5812-12-121200-666-6000000000000000000000000000000000000000000000000

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