Finite Group Databasebeta

← Group #13149480

Character table — Group #13149480

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size1111222222444466666666881212121212121212121212121818181818181818181818181818242424242424242436363636363636363636363636363636363636363672727272
order12223446664412123366666612123666121212121212121222444444441212121212121212121212122224444666612121212121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111-1-1111111-1-1111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-11111111111-1-1111111-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1
χ61111111111-1-11111111111-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1-111
χ71111111111-1-11111111111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-11-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ81111111111-1-11111111111-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ911111-1-11111-1-1-1111111111-11111-1-111-1-1-1-1111111-1-11111111-1-1-111-1-11-1-1-1-11-1-1-11111-1-1-1-111-1-11-11-1
χ1011111-1-11111-1-1-1111111111-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-11-111-1-111111-1-1-1-111-1-1111-1-11
χ1111111-1-11111-1-1-1111111111-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-1-111-11-1111-1-1-1-111-1-111-1-1-11-11
χ1211111-1-11111-1-1-1111111111-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-11-1111-1-1-1-1-1111111-1-111-111-1
χ1311111-1-1111-11-1-111111111-111111-1-1-1-111-1-11111-1-111111111-11-1-1-1-111-11-1-1-1-11-1-11111-1-1-1-1-1-111-11-11
χ1411111-1-1111-11-1-111111111-111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111-1111-11-11111-1-1-1-11111-1-1-111-1
χ1511111-1-1111-11-1-111111111-111111-1-1-1-111-1-1-1-111-1-111-1-11111-11-1-1-1-1111-11-111-111-1-1-1-111-1-1-1-1111-11-1
χ1611111-1-1111-11-1-111111111-111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1111-1-111-11-1-1-1-111111111-1-11-1-11
χ17222222222222222-1-1-12-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1220020000-1-100-1-1000000-1-100
χ18222222222222222-1-1-12-12222-1-1-1-1-1-1222222-2-2000000000000-1-1-1-1-1-1-1-1-2-200-200001100110000001100
χ1922222222222222-1222-12-1-122-1-1-1-122-1-1-1-1-1-10022222200-1-1-1-122-1-1-1-1-1-1000200000000000-1-1-1-1-1-10000
χ2022222222222222-1222-12-1-122-1-1-1-122-1-1-1-1-1-100-2-2-2-2-2-200111122-1-1-1-1-1-1000-2000000000001111110000
χ212222222222-2-2222-1-1-12-122-2-2-1-1-1-1-1-1-2-2-2-2222200000000000011-1-11111-2-20020000-1-100-1-10000001100
χ222222222222-2-2222-1-1-12-122-2-2-1-1-1-1-1-1-2-2-2-222-2-200000000000011-1-111112200-20000110011000000-1-100
χ232222222222-2-222-1222-12-1-1-2-2-1-1-1-1221111-1-10022-2-2-2-200-1-1-1-1-2-2-1-11111000200000000000-1-111110000
χ242222222222-2-222-1222-12-1-1-2-2-1-1-1-1221111-1-100-2-22222001111-2-2-1-11111000-20000000000011-1-1-1-10000
χ2522222-2-22222-2-2-22-1-1-12-1222-2-1-1-1-11122-2-2-2-222000000000000-1111-1-1112-200-20000-1-10011000000-1100
χ2622222-2-22222-2-2-22-1-1-12-1222-2-1-1-1-11122-2-2-2-2-2-2000000000000-1111-1-111-2200200001100-1-10000001-100
χ2722222-2-22222-2-2-2-1222-12-1-12-2-1-1-1-1-2-2-1-11111002222-2-200-1-1-1-12-211-1-111000-20000000000011-1-1110000
χ2822222-2-22222-2-2-2-1222-12-1-12-2-1-1-1-1-2-2-1-1111100-2-2-2-2220011112-211-1-111000200000000000-1-111-1-10000
χ2922222-2-2222-22-2-22-1-1-12-122-22-1-1-1-111-2-222-2-2220000000000001-11111-1-1-2200-20000-1-100110000001-100
χ3022222-2-2222-22-2-22-1-1-12-122-22-1-1-1-111-2-222-2-2-2-20000000000001-11111-1-12-200200001100-1-1000000-1100
χ3122222-2-2222-22-2-2-1222-12-1-1-22-1-1-1-1-2-211-1-1110022-2-22200-1-1-1-1-221111-1-1000-2000000000001111-1-10000
χ3222222-2-2222-22-2-2-1222-12-1-1-22-1-1-1-1-2-211-1-11100-2-222-2-2001111-221111-1-1000200000000000-1-1-1-1110000
χ332-22-2200-22-2000022-22-2-22-2002-2-22000000002-22i−2i00002i−2i2i2i−2i−2i000000000000000002-22i−2i000000000000
χ342-22-2200-22-2000022-22-2-22-2002-2-22000000002-2−2i2i0000−2i2i−2i−2i2i2i000000000000000002-2−2i2i000000000000
χ352-22-2200-22-2000022-22-2-22-2002-2-2200000000-222i−2i0000−2i2i2i2i−2i−2i00000000000000000-22−2i2i000000000000
χ362-22-2200-22-2000022-22-2-22-2002-2-2200000000-22−2i2i00002i−2i−2i−2i2i2i00000000000000000-222i−2i000000000000
χ372-2-2222-2-2-22002-222-2-2-22-22002-22-22-200002-200002-22-2000000002-20000000000000000000002-22-20000
χ382-2-2222-2-2-22002-222-2-2-22-22002-22-22-200002-20000-22-22000000002-2000000000000000000000-22-220000
χ392-2-2222-2-2-22002-2-12-2-2121-100-11-112-23−33−3-1100002-22-2003−33−300-113−33−30000000000000003−3-11-110000
χ402-2-2222-2-2-22002-2-12-2-2121-100-11-112-23−33−3-110000-22-2200−33−3300-113−33−3000000000000000−331-11-10000
χ412-2-2222-2-2-22002-2-12-2-2121-100-11-112-2−33−33-1100002-22-200−33−3300-11−33−33000000000000000−33-11-110000
χ422-2-2222-2-2-22002-2-12-2-2121-100-11-112-2−33−33-110000-22-22003−33−300-11−33−330000000000000003−31-11-10000
χ432-2-222-22-2-2200-2222-2-2-22-22002-22-2-220000-2200002-2-2200000000-220000000000000000000002-2-220000
χ442-2-222-22-2-2200-2222-2-2-22-22002-22-2-220000-220000-222-200000000-22000000000000000000000-222-20000
χ452-2-222-22-2-2200-22-12-2-2121-100-11-11-223−3−331-100002-2-22003−33−3001-13−3−33000000000000000−33-111-10000
χ462-2-222-22-2-2200-22-12-2-2121-100-11-11-223−3−331-10000-222-200−33−33001-13−3−330000000000000003−31-1-110000
χ472-2-222-22-2-2200-22-12-2-2121-100-11-11-22−333−31-100002-2-2200−33−33001-1−333−30000000000000003−3-111-10000
χ482-2-222-22-2-2200-22-12-2-2121-100-11-11-22−333−31-10000-222-2003−33−3001-1−333−3000000000000000−331-1-110000
χ4944444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-200000000000000-2-21111110000000000000000000000000
χ504444444444-4-444-2-2-2-2-2-2-2-2-4-41111-2-22222-2-2000000000000002211-1-1-1-10000000000000000000000000
χ5144444-4-44444-4-4-4-2-2-2-2-2-2-2-24-4111122-2-2222200000000000000-22-1-111-1-10000000000000000000000000
χ5244444-4-4444-44-4-4-2-2-2-2-2-2-2-2-4411112222-2-222000000000000002-2-1-1-1-1110000000000000000000000000
χ5344-4-44004-4-40000444-44-4-4-40044-4-40000000000000000000000000000000000000000000000000000000
χ5444-4-44004-4-400004-2-2242-4-400-2-222000000000000000000000000000000000000000000023−230000000000
χ5544-4-44004-4-400004-2-2242-4-400-2-2220000000000000000000000000000000000000000000−23230000000000
χ5644-4-44004-4-40000-244-4-2-42200-2-222000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ5744-4-44004-4-40000-244-4-2-42200-2-2220000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ584-44-4400-44-400004-22-2-424-400-222-2000000004-400000000000000000000000000000-2200000000000000
χ594-44-4400-44-400004-22-2-424-400-222-200000000-44000000000000000000000000000002-200000000000000
χ604-44-4400-44-40000-24-442-4-2200-222-200000000004i−4i000000−2i−2i2i2i000000000000000000000000000000000
χ614-44-4400-44-40000-24-442-4-2200-222-20000000000−4i4i0000002i2i−2i−2i000000000000000000000000000000000
χ624-4-4444-4-4-44004-44-222-4-2-4400-22-22-2200004-40000000000000000-2200000000000000000000000000000
χ634-4-4444-4-4-44004-4-2-2222-22-2001-11-1-2223−2323−23-2200000000000000001-1−33−330000000000000000000000000
χ644-4-4444-4-4-44004-4-2-2222-22-2001-11-1-22−2323−2323-2200000000000000001-13−33−30000000000000000000000000
χ654-4-444-44-4-4400-444-222-4-2-4400-22-222-20000-4400000000000000002-200000000000000000000000000000
χ664-4-444-44-4-4400-44-2-2222-22-2001-11-12-223−23−23232-20000000000000000-11−333−30000000000000000000000000
χ674-4-444-44-4-4400-44-2-2222-22-2001-11-12-2−232323−232-20000000000000000-113−3−330000000000000000000000000
χ686666-366-3-3-366-3-300000000-3-300000000000000000000220000000000000020022-1-100-1-10000000000-1-1
χ696666-366-3-3-366-3-300000000-3-300000000000000000000-2-200000000000000-200-2-2110011000000000011
χ706666-366-3-3-3-6-6-3-30000000033000000000000000000002200000000000000200-2-2-1-100-1-1000000000011
χ716666-366-3-3-3-6-6-3-3000000003300000000000000000000-2-200000000000000-200221100110000000000-1-1
χ726666-3-6-6-3-3-36-63300000000-33000000000000000000002200000000000000-2002-21100-1-10000000000-11
χ736666-3-6-6-3-3-36-63300000000-3300000000000000000000-2-200000000000000200-22-1-1001100000000001-1
χ746666-3-6-6-3-3-3-6633000000003-3000000000000000000002200000000000000-200-221100-1-100000000001-1
χ756666-3-6-6-3-3-3-6633000000003-300000000000000000000-2-2000000000000002002-2-1-100110000000000-11
χ7688-8-88008-8-80000-4-4-44-44440022-2-20000000000000000000000000000000000000000000000000000000
χ778-88-8800-88-80000-4-44-444-44002-2-220000000000000000000000000000000000000000000000000000000
χ781212-12-12-600-6660000000000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ791212-12-12-600-66600000000000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ8012-1212-12-6006-6600000000000000000000000000000000004i−4i00000000000000000000000−2i2i000000000000
χ8112-1212-12-6006-660000000000000000000000000000000000−4i4i000000000000000000000002i−2i000000000000
χ8212-12-1212-612-1266-600-66000000000000000000000000000000000000000000000000000000000000000000000
χ8312-12-1212-6-121266-6006-6000000000000000000000000000000000000000000000000000000000000000000000

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