Finite Group Databasebeta

← Group #11787608

Character table — Group #11787608

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order12222222334466666666666666121212121212121244444444444444442244666612121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ9111-1-1-1-1111i−i11-1-1-1111-1-1-11-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−i1-11-11-1i−i11-1-111-1-1ii−i−iii−i−iii−i−i11-1-1
χ10111-1-1-1-1111i−i11-1-1-1111-1-1-11-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−i1-11-1-11−ii-1-11111-1-1−i−iiiii−i−i−i−iii-1-111
χ11111-1-1-1-1111i−i11-1-1-1111-1-1-11-1-1ii−i−iii−i−i−i−iii-1-111ii−i−i1-11-11-1i−i11-1-1-1-111ii−i−i−i−iii−i−iii-1-111
χ12111-1-1-1-1111i−i11-1-1-1111-1-1-11-1-1ii−i−iii−i−i−i−iii-1-111ii−i−i1-11-1-11−ii-1-111-1-111−i−iii−i−iiiii−i−i11-1-1
χ13111-1-1-1-1111−ii11-1-1-1111-1-1-11-1-1−i−iii−i−iiiii−i−i-1-111−i−iii1-11-11-1−ii11-1-1-1-111−i−iiiii−i−iii−i−i-1-111
χ14111-1-1-1-1111−ii11-1-1-1111-1-1-11-1-1−i−iii−i−iiiii−i−i-1-111−i−iii1-11-1-11i−i-1-111-1-111ii−i−iii−i−i−i−iii11-1-1
χ15111-1-1-1-1111−ii11-1-1-1111-1-1-11-1-1−i−iii−i−iii−i−iii11-1-1−i−iii1-11-11-1−ii11-1-111-1-1−i−iii−i−iii−i−iii11-1-1
χ16111-1-1-1-1111−ii11-1-1-1111-1-1-11-1-1−i−iii−i−iii−i−iii11-1-1−i−iii1-11-1-11i−i-1-11111-1-1ii−i−i−i−iiiii−i−i-1-111
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000
χ19222-2-2-2-22222i−2i22-2-2-2222-2-2-22-2-22i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i-22-220000000000000000000000000000
χ20222-2-2-2-2222−2i2i22-2-2-2222-2-2-22-2-2−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i-22-220000000000000000000000000000
χ2122-22-22-2-222002-22-2-22-2-22-22-2-2200000000000000002i−2i2i−2i0000000000000000000000002−22−2−i2i2−i2i2
χ2222-22-22-2-222002-22-2-22-2-22-22-2-2200000000000000002i−2i2i−2i000000000000000000000000−22−22i2−i2i2−i2
χ2322-22-22-2-222002-22-2-22-2-22-22-2-220000000000000000−2i2i−2i2i0000000000000000000000002−22−2i2−i2i2−i2
χ2422-22-22-2-222002-22-2-22-2-22-22-2-220000000000000000−2i2i−2i2i000000000000000000000000−22−22−i2i2−i2i2
χ2522-2-22-22-222002-2-2222-2-2-22-2-22-200000000000000002-2-22000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ2622-2-22-22-222002-2-2222-2-2-22-2-22-200000000000000002-2-22000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ2722-2-22-22-222002-2-2222-2-2-22-2-22-20000000000000000-222-2000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ2822-2-22-22-222002-2-2222-2-2-22-2-22-20000000000000000-222-2000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ292-2-222-2-222200-2-222-2-22-22-2-222-20000000000002-22-20000-2-222000000002-22-20000000000000000
χ302-2-222-2-222200-2-222-2-22-22-2-222-2000000000000-22-220000-2-22200000000-22-220000000000000000
χ312-2-222-2-222200-2-222-2-22-22-2-222-2000000002i−2i2i−2i0000000022-2-200000000000000002i−2i2i−2i00000000
χ322-2-222-2-222200-2-222-2-22-22-2-222-200000000−2i2i−2i2i0000000022-2-20000000000000000−2i2i−2i2i00000000
χ332-2-2-2-22222200-2-2-2-22-22-2-2222-220000000000002-2-220000-222-2000000002-2-220000000000000000
χ342-2-2-2-22222200-2-2-2-22-22-2-2222-22000000000000-222-20000-222-200000000-222-20000000000000000
χ352-2-2-2-22222200-2-2-2-22-22-2-2222-22000000002-2-22000000002-2-2200000000000000002-2-2200000000
χ362-2-2-2-22222200-2-2-2-22-22-2-2222-2200000000-222-2000000002-2-220000000000000000-222-200000000
χ37444444441-24411111-2-2-2-2-2-21-21-2-2-2-21111222222220000000000000000-1-1-1-10000-1-1-1-100000000
χ38444444441-24411111-2-2-2-2-2-21-21-2-2-2-21111-2-2-2-2-2-2-2-2000000000000000011110000111100000000
χ39444444441-2-4-411111-2-2-2-2-2-21-212222-1-1-1-12222-2-2-2-2000000000000000011110000-1-1-1-100000000
χ40444444441-2-4-411111-2-2-2-2-2-21-212222-1-1-1-1-2-2-2-222220000000000000000-1-1-1-10000111100000000
χ4144444444-2144-2-2-2-2-2111111-21-21111-2-2-2-200000000000000002222-1-1-1-10000-1-1-1-1000000000000
χ4244444444-2144-2-2-2-2-2111111-21-21111-2-2-2-20000000000000000-2-2-2-2111100001111000000000000
χ4344444444-21-4-4-2-2-2-2-2111111-21-2-1-1-1-12222000000000000000022-2-2-1-1-1-100001111000000000000
χ4444444444-21-4-4-2-2-2-2-2111111-21-2-1-1-1-122220000000000000000-2-22211110000-1-1-1-1000000000000
χ45444-4-4-4-441-24i−4i11-1-1-1-2-2-222212-1−2i−2i2i2iii−i−i2i2i−2i−2i22-2-20000000000000000-1-1110000−i−iii00000000
χ46444-4-4-4-441-24i−4i11-1-1-1-2-2-222212-1−2i−2i2i2iii−i−i−2i−2i2i2i-2-222000000000000000011-1-10000ii−i−i00000000
χ47444-4-4-4-441-2−4i4i11-1-1-1-2-2-222212-12i2i−2i−2i−i−iii2i2i−2i−2i-2-222000000000000000011-1-10000−i−iii00000000
χ48444-4-4-4-441-2−4i4i11-1-1-1-2-2-222212-12i2i−2i−2i−i−iii−2i−2i2i2i22-2-20000000000000000-1-1110000ii−i−i00000000
χ49444-4-4-4-44-214i−4i-2-2222111-1-1-1-2-12ii−i−i−2i−2i2i2i00000000000000002-22i−2i-1-1110000−i−iii000000000000
χ50444-4-4-4-44-214i−4i-2-2222111-1-1-1-2-12ii−i−i−2i−2i2i2i0000000000000000-22−2i2i11-1-10000ii−i−i000000000000
χ51444-4-4-4-44-21−4i4i-2-2222111-1-1-1-2-12−i−iii2i2i−2i−2i00000000000000002-2−2i2i-1-1110000ii−i−i000000000000
χ52444-4-4-4-44-21−4i4i-2-2222111-1-1-1-2-12−i−iii2i2i−2i−2i0000000000000000-222i−2i11-1-10000−i−iii000000000000
χ534-444-4-44-44400-444-44-4-4444-4-4-4-40000000000000000000000000000000000000000000000000000
χ544-444-4-44-4-21002-2-22-2-1-1111-12-123i−3i3i−3i000000000000000000000000−i3i3−i3i300003−33−3000000000000
χ554-444-4-44-4-21002-2-22-2-1-1111-12-123i−3i3i−3i000000000000000000000000i3−i3i3−i30000−33−33000000000000
χ564-444-4-44-4-21002-2-22-2-1-1111-12-12−3i3i−3i3i000000000000000000000000−i3i3−i3i30000−33−33000000000000
χ574-444-4-44-4-21002-2-22-2-1-1111-12-12−3i3i−3i3i000000000000000000000000i3−i3i3−i300003−33−3000000000000
χ584-44-444-4-44400-44-44-4-4-44-4-44-4440000000000000000000000000000000000000000000000000000
χ594-44-444-4-4-21002-22-22-1-11-1-1121-23-3-33000000000000000000000000−i3i3i3−i30000−i3i3i3−i3000000000000
χ604-44-444-4-4-21002-22-22-1-11-1-1121-23-3-33000000000000000000000000i3−i3−i3i30000i3−i3−i3i3000000000000
χ614-44-444-4-4-21002-22-22-1-11-1-1121-2-333-3000000000000000000000000−i3i3i3−i30000i3−i3−i3i3000000000000
χ624-44-444-4-4-21002-22-22-1-11-1-1121-2-333-3000000000000000000000000i3−i3−i3i30000−i3i3i3−i3000000000000
χ634-4-444-4-441-200-1-111-12-22-2221-2-100003i−3i3i−3i2i−2i2i−2i2-22-20000000000000000-11-110000−ii−ii00000000
χ644-4-444-4-441-200-1-111-12-22-2221-2-100003i−3i3i−3i−2i2i−2i2i-22-2200000000000000001-11-10000i−ii−i00000000
χ654-4-444-4-441-200-1-111-12-22-2221-2-10000−3i3i−3i3i2i−2i2i−2i-22-2200000000000000001-11-10000−ii−ii00000000
χ664-4-444-4-441-200-1-111-12-22-2221-2-10000−3i3i−3i3i−2i2i−2i2i2-22-20000000000000000-11-110000i−ii−i00000000
χ674-4-4-4-44441-200-1-1-1-112-222-2-212100003-3-332-2-222-2-220000000000000000-111-10000-111-100000000
χ684-4-4-4-44441-200-1-1-1-112-222-2-212100003-3-33-222-2-222-200000000000000001-1-1100001-1-1100000000
χ694-4-4-4-44441-200-1-1-1-112-222-2-21210000-333-32-2-22-222-200000000000000001-1-110000-111-100000000
χ704-4-4-4-44441-200-1-1-1-112-222-2-21210000-333-3-222-22-2-220000000000000000-111-100001-1-1100000000
χ7188-88-88-8-82-4002-22-2-2-444-44-4-2420000000000000000000000000000000000000000000000000000
χ7288-88-88-8-8-4200-44-4442-2-22-224-2-40000000000000000000000000000000000000000000000000000
χ7388-8-88-88-82-4002-2-222-4444-44-2-4-20000000000000000000000000000000000000000000000000000
χ7488-8-88-88-8-4200-444-4-42-2-2-22-24240000000000000000000000000000000000000000000000000000
χ758-888-8-88-82-400-222-2244-4-4-44-24-20000000000000000000000000000000000000000000000000000
χ768-88-888-8-82-400-22-22-244-444-4-2-420000000000000000000000000000000000000000000000000000
χ778-8-888-8-88-420044-4-44-22-22-2-2-4240000000000000000000000000000000000000000000000000000
χ788-8-8-8-8888-42004444-4-22-2-222-4-2-40000000000000000000000000000000000000000000000000000

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