Finite Group Databasebeta

← Group #13148736

Character table — Group #13148736

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111222222444466666666881212121212121212121212121818181818181818242424242424242436363636363636363636363636363636363636363636363672727272
order122222366644663366666612123666666612121212222266666612121212121222224444446666661212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1111-1-1-1-1-1-11111-1-1-1-11-11-1
χ51111111111-1-11111111111-1-111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1
χ61111111111-1-11111111111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1111-1-1-11-1-11111-1-1-1-111111-11-1
χ81111111111-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-111111111-11-11
χ91111-1-111111-1-1-1111111111-11-1-1-1-111111-1-111-1-11111-1-11-111-1-11-11-11-1-11-11-1-111-1-111-1-111-1-1-111-1
χ101111-1-111111-1-1-1111111111-11-1-1-1-111111-1-111-1-11111-1-11-111-1-1-11-111-11-11-1-1-1-1-111-1-11111-1-11-1-11
χ111111-1-111111-1-1-1111111111-11-1-1-1-111111-1-1-1-111-1-1-1-1-1-11-111-1-11-111-11-1-11-11111-1-1-1-111-1-11111-1-1
χ121111-1-111111-1-1-1111111111-11-1-1-1-111111-1-1-1-111-1-1-1-1-1-11-111-1-1-11-1-1-1111-1111-1-11111-1-1-1-111-1-111
χ131111-1-11111-11-1-111111111-111-1-1-1-1111-1-11111-1-11111-1-1-11-1-1111-1-11-1111-1-1-1-111-1-111-1-1-1-1111-1-11
χ141111-1-11111-11-1-111111111-111-1-1-1-1111-1-11111-1-11111-1-1-11-1-111-111-1-11-1-111-1-1-1-111-1-111-1-111-111-1
χ151111-1-11111-11-1-111111111-111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-11-1-1111-1-1-11-11-1111111-1-1-1-11111-1-1-1-111
χ161111-1-11111-11-1-111111111-111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-11-1-111-11111-1-11-1-111-1-11111-1-111-1-111-1-1
χ17222222222222222-12-1-1-12222-122-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1222000200000-1-1-1-1000000000-10-1
χ18222222222222222-12-1-1-12222-122-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-2-2-2000-2000001111000000000101
χ1922222222222222-12-1222-1-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000220000-1-100000000-1-1-1-10000
χ2022222222222222-12-1222-1-122-1-1-122-1-1-1-1-1-1-1-2-2-2-21111-1-122-1-1-1-10000-2-20000110000000011110000
χ212222222222-2-2222-12-1-1-122-2-2-122-1-1-1-1-1-2-2-2-200000000-1-111111122-2000-200000-1-1-1-1000000000101
χ222222222222-2-2222-12-1-1-122-2-2-122-1-1-1-1-1-2-2-2-200000000-1-1111111-2-220002000001111000000000-10-1
χ232222222222-2-222-12-1222-1-1-2-2-1-1-122-1-1-111112222-1-1-1-1-1-1-2-211110000-2-20000-1-10000000011110000
χ242222222222-2-222-12-1222-1-1-2-2-1-1-122-1-1-11111-2-2-2-21111-1-1-2-2111100002200001100000000-1-1-1-10000
χ252222-2-222222-2-2-22-12-1-1-1222-2-1-2-211-1-1-122-2-20000000011-11-1-1112-22000-200000-1-111000000000-101
χ262222-2-222222-2-2-22-12-1-1-1222-2-1-2-211-1-1-122-2-20000000011-11-1-111-22-200020000011-1-100000000010-1
χ272222-2-222222-2-2-2-12-1222-1-12-2-111-2-2-1-1-1-1-11122-2-2-1-1-1-1112-2-1-11100002-200001100000000-1-1110000
χ282222-2-222222-2-2-2-12-1222-1-12-2-111-2-2-1-1-1-1-111-2-2221111112-2-1-1110000-220000-1-10000000011-1-10000
χ292222-2-22222-22-2-22-12-1-1-122-22-1-2-211-1-1-1-2-22200000000111-111-1-12-2-2000200000-1-11100000000010-1
χ302222-2-22222-22-2-22-12-1-1-122-22-1-2-211-1-1-1-2-22200000000111-111-1-1-222000-20000011-1-1000000000-101
χ312222-2-22222-22-2-2-12-1222-1-1-22-111-2-2-1-1-111-1-122-2-2-1-1-1-111-2211-1-10000-220000110000000011-1-10000
χ322222-2-22222-22-2-2-12-1222-1-1-22-111-2-2-1-1-111-1-1-2-222111111-2211-1-100002-20000-1-100000000-1-1110000
χ332-2-222-22-2-22002-2222-2-22-2-20022-22-22-2-200002-22-222-2-22-200000000000000002-20000000000000000
χ342-2-222-22-2-22002-2222-2-22-2-20022-22-22-2-20000-22-22-2-2222-20000000000000000-220000000000000000
χ352-2-222-22-2-22002-2-12-1-2-221100-1-112-2-1113−33−32-22-2-1-111-11003−33−30000000000-11000000003−33−30000
χ362-2-222-22-2-22002-2-12-1-2-221100-1-112-2-1113−33−3-22-2211-1-1-11003−33−300000000001-100000000−33−330000
χ372-2-222-22-2-22002-2-12-1-2-221100-1-112-2-111−33−332-22-2-1-111-1100−33−330000000000-1100000000−33−330000
χ382-2-222-22-2-22002-2-12-1-2-221100-1-112-2-111−33−33-22-2211-1-1-1100−33−3300000000001-1000000003−33−30000
χ392-2-22-222-2-2200-22222-2-22-2-2002-22-222-2-200002-2-2222-2-2-220000000000000000-220000000000000000
χ402-2-22-222-2-2200-22222-2-22-2-2002-22-222-2-20000-222-2-2-222-2200000000000000002-20000000000000000
χ412-2-22-222-2-2200-22-12-1-2-221100-11-1-22-1113−3−332-2-22-1-1111-1003−3−3300000000001-1000000003−3−330000
χ422-2-22-222-2-2200-22-12-1-2-221100-11-1-22-1113−3−33-222-211-1-11-1003−3−330000000000-1100000000−333−30000
χ432-2-22-222-2-2200-22-12-1-2-221100-11-1-22-111−333−32-2-22-1-1111-100−333−300000000001-100000000−333−30000
χ442-2-22-222-2-2200-22-12-1-2-221100-11-1-22-111−333−3-222-211-1-11-100−333−30000000000-11000000003−3−330000
χ4544444444444444-2-2-2-2-2-2-2-2441-2-2-2-2111-2-2-2-20000000011-2-211110000000000000000000000000000
χ464444444444-4-444-2-2-2-2-2-2-2-2-4-41-2-2-2-21112222000000001122-1-1-1-10000000000000000000000000000
χ474444-4-444444-4-4-4-2-2-2-2-2-2-2-24-412222111-2-22200000000-1-1-2211-1-10000000000000000000000000000
χ484444-4-44444-44-4-4-2-2-2-2-2-2-2-2-441222211122-2-200000000-1-12-2-1-1110000000000000000000000000000
χ4944-4-40044-4-4000044-44-4-44-40040000-44-4000000000000000000000000000000000000000000000000
χ5044-4-40044-4-400004-2-4-2224-400-200002-2200000000000000000000000000000000−2i32i300000000000000
χ5144-4-40044-4-400004-2-4-2224-400-200002-22000000000000000000000000000000002i3−2i300000000000000
χ5244-4-40044-4-40000-2424-4-4-2200-200002-2200000000−2i32i3−2i32i3000000000000000000000000000000000000
χ5344-4-40044-4-40000-2424-4-4-2200-200002-22000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ544-44-4004-44-4000044-4-44-4-440040000-4-44000000000000000000000000000000000000000000000000
χ554-44-4004-44-400004-2-42-22-4400-2000022-20000000000000000000000000000000000−2i32i3000000000000
χ564-44-4004-44-400004-2-42-22-4400-2000022-200000000000000000000000000000000002i3−2i3000000000000
χ574-44-4004-44-40000-242-44-42-200-2000022-200000000−2i32i32i3−2i3000000000000000000000000000000000000
χ584-44-4004-44-40000-242-44-42-200-2000022-2000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ594-4-444-44-4-44004-44-2422-2-4-400-24-4-22-222000000000000-220000000000000000000000000000000000
χ604-4-444-44-4-44004-4-2-2-222-222001-22-221-1-123−2323−23000000001-100−33−330000000000000000000000000000
χ614-4-444-44-4-44004-4-2-2-222-222001-22-221-1-1−2323−2323000000001-1003−33−30000000000000000000000000000
χ624-4-44-444-4-4400-444-2422-2-4-400-2-442-2-2220000000000002-20000000000000000000000000000000000
χ634-4-44-444-4-4400-44-2-2-222-2220012-22-21-1-123−23−232300000000-1100−333−30000000000000000000000000000
χ644-4-44-444-4-4400-44-2-2-222-2220012-22-21-1-1−232323−2300000000-11003−3−330000000000000000000000000000
χ65666666-3-3-3-366-3-300000000-3-300000000000000000000000000000002000222000000-1-1-1-10000-10-10
χ66666666-3-3-3-366-3-300000000-3-30000000000000000000000000000000-2000-2-2-2000000111100001010
χ67666666-3-3-3-3-6-6-3-3000000003300000000000000000000000000000002000-2-2200000011110000-10-10
χ68666666-3-3-3-3-6-6-3-300000000330000000000000000000000000000000-200022-2000000-1-1-1-100001010
χ696666-6-6-3-3-3-36-63300000000-3300000000000000000000000000000002000-22-200000011-1-10000-1010
χ706666-6-6-3-3-3-36-63300000000-330000000000000000000000000000000-20002-22000000-1-111000010-10
χ716666-6-6-3-3-3-3-6633000000003-3000000000000000000000000000000020002-2-2000000-1-1110000-1010
χ726666-6-6-3-3-3-3-6633000000003-30000000000000000000000000000000-2000-22200000011-1-1000010-10
χ7388-8-80088-8-80000-4-44-444-440020000-22-2000000000000000000000000000000000000000000000000
χ748-88-8008-88-80000-4-444-444-40020000-2-22000000000000000000000000000000000000000000000000
χ751212-12-1200-6-666000000000000000000000000000000000000000000000000000000000023−230000000000
χ761212-12-1200-6-6660000000000000000000000000000000000000000000000000000000000−23230000000000
χ7712-1212-1200-66-6600000000000000000000000000000000000000000000000000000000000023−2300000000
χ7812-1212-1200-66-66000000000000000000000000000000000000000000000000000000000000−232300000000
χ7912-12-121212-12-666-600-66000000000000000000000000000000000000000000000000000000000000000000
χ8012-12-1212-1212-666-6006-6000000000000000000000000000000000000000000000000000000000000000000

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