Finite Group Databasebeta

← Group #11721321

Character table — Group #11721321

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order1222223666663366666666663666666666222266666666244466121212121212
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-1
χ61111-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111
χ71111-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ81111-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ92222222222222-12-1-1-1-1-1-1-122-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ102222222222222-12-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ11222222222222-12-12222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1
χ12222222222222-12-12222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200001111
χ132222-2-22222-2-22-12-1-1-1111122-1-2-2-1-1-1111122-2-2-1-1-1-11111000000000000
χ142222-2-22222-2-22-12-1-1-1111122-1-2-2-1-1-11111-2-2221111-1-1-1-1000000000000
χ152222-2-22222-2-2-12-1222-2-2-2-2-1-1-111-1-1-11111000000000000002-20000-1-111
χ162222-2-22222-2-2-12-1222-2-2-2-2-1-1-111-1-1-1111100000000000000-22000011-1-1
χ1722-2-20022-2-20022-22-2-200002-22002-2-20000002-2000022-2-2000000000000
χ1822-2-20022-2-20022-22-2-200002-22002-2-2000000-220000-2-222000000000000
χ1922-2-20022-2-2002-1-2-111−i3−i3i3i32-2-100-111−i3−i3i3i3002-2−i3−i3i3i3-1-111000000000000
χ2022-2-20022-2-2002-1-2-111−i3−i3i3i32-2-100-111−i3−i3i3i300-22i3i3−i3−i311-1-1000000000000
χ2122-2-20022-2-2002-1-2-111i3i3−i3−i32-2-100-111i3i3−i3−i3002-2i3i3−i3−i3-1-111000000000000
χ2222-2-20022-2-2002-1-2-111i3i3−i3−i32-2-100-111i3i3−i3−i300-22−i3−i3i3i311-1-1000000000000
χ232-22-2002-22-20022-2-22-20000-22200-22-200002-2002-22-20000000000000000
χ242-22-2002-22-20022-2-22-20000-22200-22-20000-2200-22-220000000000000000
χ252-22-2002-22-2002-1-21-11−i3i3−i3i3-22-1001-11−i3i3−i3i32-200-11-11−i3i3−i3i3000000000000
χ262-22-2002-22-2002-1-21-11−i3i3−i3i3-22-1001-11−i3i3−i3i3-22001-11-1i3−i3i3−i3000000000000
χ272-22-2002-22-2002-1-21-11i3−i3i3−i3-22-1001-11i3−i3i3−i32-200-11-11i3−i3i3−i3000000000000
χ282-22-2002-22-2002-1-21-11i3−i3i3−i3-22-1001-11i3−i3i3−i3-22001-11-1−i3i3−i3i3000000000000
χ292-2-222-22-2-222-2222-2-222-2-22-2-222-2-2-222-2-22000000000000000000000000
χ302-2-222-22-2-222-22-1211-1-111-1-2-2-12-211-1-111-10000−i3i3i3−i3−i3i3i3−i3000000000000
χ312-2-222-22-2-222-22-1211-1-111-1-2-2-12-211-1-111-10000i3−i3−i3i3i3−i3−i3i3000000000000
χ322-2-222-22-2-222-2-12-1-2-222-2-2211-1-1111-1-111-1000000000000000000003−33−3
χ332-2-222-22-2-222-2-12-1-2-222-2-2211-1-1111-1-111-100000000000000000000−33−33
χ342-2-22-222-2-22-22222-2-22-222-2-2-22-22-2-22-222-2000000000000000000000000
χ352-2-22-222-2-22-222-1211-11-1-11-2-2-1-2211-11-1-110000−i3i3i3−i3i3−i3−i3i3000000000000
χ362-2-22-222-2-22-222-1211-11-1-11-2-2-1-2211-11-1-110000i3−i3−i3i3−i3i3i3−i3000000000000
χ372-2-22-222-2-22-22-12-1-2-22-222-211-11-111-11-1-11000000000000000000003−3−33
χ382-2-22-222-2-22-22-12-1-2-22-222-211-11-111-11-1-1100000000000000000000−333−3
χ39444444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111000000000000000000000000
χ404444-4-44444-4-4-2-2-2-2-2-22222-2-2122111-1-1-1-1000000000000000000000000
χ4144-4-40044-4-400-2424-4-40000-22-200-2220000000000000000000000000000
χ4244-4-40044-4-400-2-22-222−2i3−2i32i32i3-221001-1-1i3i3−i3−i3000000000000000000000000
χ4344-4-40044-4-400-2-22-2222i32i3−2i3−2i3-221001-1-1−i3−i3i3i3000000000000000000000000
χ444-44-4004-44-400-242-44-400002-2-2002-220000000000000000000000000000
χ454-44-4004-44-400-2-222-22−2i32i3−2i32i32-2100-11-1i3−i3i3−i3000000000000000000000000
χ464-44-4004-44-400-2-222-222i3−2i32i3−2i32-2100-11-1−i3i3−i3i3000000000000000000000000
χ474-4-444-44-4-444-4-2-2-222-2-222-2221-22-1-111-1-11000000000000000000000000
χ484-4-44-444-4-44-44-2-2-222-22-2-222212-2-1-11-111-1000000000000000000000000
χ49666666-3-3-3-3-3-300000000000000000000000000000000002200-1-1-1-10000
χ50666666-3-3-3-3-3-30000000000000000000000000000000000-2-20011110000
χ516666-6-6-3-3-3-33300000000000000000000000000000000002-200-1-1110000
χ526666-6-6-3-3-3-3330000000000000000000000000000000000-220011-1-10000
χ536-6-666-6-333-3-3300000000000000000000000000000000000000−i3i3−i3i30000
χ546-6-666-6-333-3-3300000000000000000000000000000000000000i3−i3i3−i30000
χ556-6-66-66-333-33-300000000000000000000000000000000000000−i3i3i3−i30000
χ566-6-66-66-333-33-300000000000000000000000000000000000000i3−i3−i3i30000
χ571212-12-1200-6-666000000000000000000000000000000000000000000000000
χ5812-1212-1200-66-66000000000000000000000000000000000000000000000000

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