Finite Group Databasebeta

← Group #72271691

Character table — Group #72271691

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85
size11112222444446666666612121212121212121212121224242424242424242424242432323232323232324848484848484848646464646464646464646464969696969696969696969696
order1222444422444222244442444444444442244444444443666121212124444888866661212121212121212228888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111-1-1-1-111111111111111-1-1-1-11111-11-111-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1
χ411111111-1-1-1-111111111111111-1-1-1-11111-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111
χ51111-1-11111-1-1-11-1-111111-1-1-1-1-111-1-1111-1-1111-1111-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11-11-111-1-11-11-1
χ61111-1-11111-1-1-11-1-111111-1-1-1-1-111-1-1111-1-1111-1111-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-11-1-111-11-11
χ71111-1-111-1-111-11-1-111111-1-1-1-1-1-1-111111-111-11-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-111-1-1-1111-1-11
χ81111-1-111-1-111-11-1-111111-1-1-1-1-1-1-111111-111-11-1-1-1-11111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111111-1-1111-1-1-111-1
χ9222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1022222222-2-2-2-222222222222222-2-2-2-22222-22-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000001111-1-1-1-11111000000000000
χ11222222-2-20000-2-222-22222-2-222-20000-22-2-20-202200000022222222000000000000-2-2-2-20000000000000000
χ12222222-2-20000-2-222-22222-2-222-20000-22-2-20-2022000000-1-1-1-1-1-1-1-100000000−i3−i3i3i31111−i3−i3i3i3000000000000
χ13222222-2-20000-2-222-22222-2-222-20000-22-2-20-2022000000-1-1-1-1-1-1-1-100000000i3i3−i3−i31111i3i3−i3−i3000000000000
χ142222-2-22222-2-2-22-2-222222-2-2-2-2-222-2-2222-2-2222-2222-2-2-2-1-1-1-1111100000000-1-1-1-1-1-1111111000000000000
χ152222-2-222-2-222-22-2-222222-2-2-2-2-2-2-222222-222-22-2-2-2-2222-1-1-1-11111000000001111-1-111-1-1-1-1000000000000
χ162222-2-2-2-200002-2-2-2-2222222-2-220000-22-220-202-20000002222-2-2-2-2000000000000-2-2220000000000000000
χ172222-2-2-2-200002-2-2-2-2222222-2-220000-22-220-202-2000000-1-1-1-1111100000000−i3−i3i3i311-1-1i3i3−i3−i3000000000000
χ182222-2-2-2-200002-2-2-2-2222222-2-220000-22-220-202-2000000-1-1-1-1111100000000i3i3−i3−i311-1-1−i3−i3i3i3000000000000
χ1933333333333333-1-13-13-13-133-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1-100000000000011111-11-1-1-1-1-1
χ2033333333333333-1-13-13-13-133-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-11111000000000000-1-1-1-1-11-111111
χ213333333333333-133-13-13-1-1-1-1-13-1-1-1-1-1-13-13-13-1-1-1-1-1-1-1-10000000011111111000000000000-1-1-1-11-11-1-1-111
χ223333333333333-133-13-13-1-1-1-1-13-1-1-1-1-1-13-13-13-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000001111-11-1111-1-1
χ233333333333333-1-1-1-1-1-1-1-13-1-13-1-1-1-1-133-1-1-1-1-1-1-13-1-13-1-1000000001111-1-1-1-1000000000000-1-1-1-1111111-1-1
χ243333333333333-1-1-1-1-1-1-1-13-1-13-1-1-1-1-133-1-1-1-1-1-1-13-1-13-1-100000000-1-1-1-111110000000000001111-1-1-1-1-1-111
χ2533333333-3-3-3-333-1-13-13-13-133-1-1-3-3-3-3-1-1-1-11-11-1-1111111000000001111-1-1-1-1000000000000-1-111-11-11-1-111
χ2633333333-3-3-3-333-1-13-13-13-133-1-1-3-3-3-3-1-1-1-11-11-1-111111100000000-1-1-1-1111100000000000011-1-11-11-111-1-1
χ2733333333-3-3-3-33-133-13-13-1-1-1-1-131111-1-13-1-3-1-3-1-1111111000000001111111100000000000011-1-1-11-11-1-1-1-1
χ2833333333-3-3-3-33-133-13-13-1-1-1-1-131111-1-13-1-3-1-3-1-111111100000000-1-1-1-1-1-1-1-1000000000000-1-1111-11-11111
χ2933333333-3-3-3-33-1-1-1-1-1-1-1-13-1-13-1111133-1-11-11-1-1-311-311000000001111-1-1-1-100000000000011-1-1-1-1-1-11111
χ3033333333-3-3-3-33-1-1-1-1-1-1-1-13-1-13-1111133-1-11-11-1-1-311-31100000000-1-1-1-11111000000000000-1-1111111-1-1-1-1
χ313333-3-33333-3-3-33113-13-131-3-31133-3-3-1-1-111-1-1-11-1-1-11110000000011-1-1-1-1110000000000001-11-11-1-11-11-11
χ323333-3-33333-3-3-33113-13-131-3-31133-3-3-1-1-111-1-1-11-1-1-111100000000-1-11111-1-1000000000000-11-11-111-11-11-1
χ333333-3-33333-3-3-3-111-1-1-1-1-1-311-31-1-11133-111-1-1-113-1-1-3110000000011-1-1-1-111000000000000-11-1111-1-11-1-11
χ343333-3-33333-3-3-3-111-1-1-1-1-1-311-31-1-11133-111-1-1-113-1-1-31100000000-1-11111-1-10000000000001-11-1-1-111-111-1
χ353333-3-33333-3-3-3-1-3-3-13-13-11111-3-1-111-1-131-3-13-11-1-1-11110000000011-1-111-1-1000000000000-11-111-1-11-111-1
χ363333-3-33333-3-3-3-1-3-3-13-13-11111-3-1-111-1-131-3-13-11-1-1-111100000000-1-111-1-1110000000000001-11-1-111-11-1-11
χ373333-3-333-3-333-33113-13-131-3-311-3-333-1-1-11-1-11-11111-1-1-10000000011-1-1-1-111000000000000-111-1-111-1-111-1
χ383333-3-333-3-333-33113-13-131-3-311-3-333-1-1-11-1-11-11111-1-1-100000000-1-11111-1-10000000000001-1-111-1-111-1-11
χ393333-3-333-3-333-3-111-1-1-1-1-1-311-3111-1-133-11-1-11-11-3113-1-10000000011-1-1-1-1110000000000001-1-11-1-1111-11-1
χ403333-3-333-3-333-3-111-1-1-1-1-1-311-3111-1-133-11-1-11-11-3113-1-100000000-1-11111-1-1000000000000-111-111-1-1-11-11
χ413333-3-333-3-333-3-1-3-3-13-13-11111-311-1-1-1-1313-1-3-11111-1-1-10000000011-1-111-1-10000000000001-1-11-111-1-11-11
χ423333-3-333-3-333-3-1-3-3-13-13-11111-311-1-1-1-1313-1-3-11111-1-1-100000000-1-111-1-111000000000000-111-11-1-111-11-1
χ4344-4-44-4000000004-40-4040000000000000000000000000-222-222-2-22i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ4444-4-44-4000000004-40-4040000000000000000000000000-222-222-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ4544-4-4-4400000000-440-4040000000000000000000000000-222-2-2-2222i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ4644-4-4-4400000000-440-4040000000000000000000000000-222-2-2-222−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ474-44-4004-4004i−4i0400-40-40400000004i−4i00000000000000011-1-13−33−300000000−i3i3−i3i31-13−3i−ii−i000000000000
χ484-44-4004-4004i−4i0400-40-40400000004i−4i00000000000000011-1-1−33−3300000000i3−i3i3−i31-1−33i−ii−i000000000000
χ494-44-4004-4004i−4i0400-40-40400000004i−4i000000000000000-2-2220000000000000000-2200−2i2i−2i2i000000000000
χ504-44-4004-400−4i4i0400-40-4040000000−4i4i00000000000000011-1-13−33−300000000i3−i3i3−i31-13−3−ii−ii000000000000
χ514-44-4004-400−4i4i0400-40-4040000000−4i4i00000000000000011-1-1−33−3300000000−i3i3−i3i31-1−33−ii−ii000000000000
χ524-44-4004-400−4i4i0400-40-4040000000−4i4i000000000000000-2-2220000000000000000-22002i−2i2i−2i000000000000
χ534-44-400-444-4000-40040-404000004-40000000000000000011-1-13−33−3000000001-1-11-11−333−3−33000000000000
χ544-44-400-444-4000-40040-404000004-40000000000000000011-1-1−33−33000000001-1-11-113−3−333−3000000000000
χ554-44-400-444-4000-40040-404000004-400000000000000000-2-222000000000000-222-22-2000000000000000000
χ564-44-400-44-44000-40040-40400000-440000000000000000011-1-13−33−300000000-111-1-11−33−333−3000000000000
χ574-44-400-44-44000-40040-40400000-440000000000000000011-1-1−33−3300000000-111-1-113−33−3−33000000000000
χ584-44-400-44-44000-40040-40400000-4400000000000000000-2-2220000000000002-2-222-2000000000000000000
χ596666666666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-22-222-222-2220000000000000000000000000000000000000000
χ6066666666-6-6-6-66-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-22222222-2-22-2-20000000000000000000000000000000000000000
χ61666666-6-60000-626626-26-222-2-2-600002-2-62020-2-20000000000000000000000000000000000000000000000
χ62666666-6-60000-62-2-22-2-2-2-222-2-2200002-22-20-202204-404-40000000000000000000000000000000000000000
χ63666666-6-60000-62-2-22-2-2-2-222-2-2200002-22-20-20220-440-440000000000000000000000000000000000000000
χ64666666-6-60000-62-2-22-2-2-2-2-62-2620000-6622020-2-20000000000000000000000000000000000000000000000
χ65666666-6-60000-6-6-2-2-6-26-262-66-2200002-222020-2-20000000000000000000000000000000000000000000000
χ666666-6-66666-6-6-6-222-2-2-2-2-222222-2-222-2-2-2-222-22-2-2222-2-20000000000000000000000000000000000000000
χ676666-6-666-6-666-6-222-2-2-2-2-22222222-2-2-2-2-2-2-2222-22-2-2-2220000000000000000000000000000000000000000
χ686666-6-6-6-6000062222-2-2-2-26-22-6-20000-662-2020-220000000000000000000000000000000000000000000000
χ696666-6-6-6-6000062222-2-2-2-2-2-222-200002-2220-202-204-40-440000000000000000000000000000000000000000
χ706666-6-6-6-6000062222-2-2-2-2-2-222-200002-2220-202-20-4404-40000000000000000000000000000000000000000
χ716666-6-6-6-6000062-6-626-26-2-2-222600002-2-6-2020-220000000000000000000000000000000000000000000000
χ726666-6-6-6-600006-622-6-26-26-26-62-200002-22-2020-220000000000000000000000000000000000000000000000
χ7388-8-88-8000000008-80-80800000000000000000000000002-2-22-2-22200000000000000000000000000000000
χ7488-8-8-8800000000-880-80800000000000000000000000002-2-2222-2-200000000000000000000000000000000
χ751212-12-1212-1200000000-44040-40000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ761212-12-1212-1200000000-44040-4000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ771212-12-12-1212000000004-4040-40000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ781212-12-12-1212000000004-4040-4000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ7912-1212-120012-120012i−12i0-4004040-40000000−4i4i0000000000000000000000000000000000000000000000000000000
χ8012-1212-120012-1200−12i12i0-4004040-400000004i−4i0000000000000000000000000000000000000000000000000000000
χ8112-1212-1200-121212-12000400-4040-400000-44000000000000000000000000000000000000000000000000000000000
χ8212-1212-1200-1212-1212000400-4040-4000004-4000000000000000000000000000000000000000000000000000000000
χ8316-16-1616000000000000000000000000000000000000000004-44-4000000000000000000000000000000000000
χ8416-16-161600000000000000000000000000000000000000000-22-2223−23−232300000000000000000000000000000000
χ8516-16-161600000000000000000000000000000000000000000-22-22−232323−2300000000000000000000000000000000

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