Finite Group Databasebeta

← Group #13149412

Character table — Group #13149412

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111222222444466666666881212121212121212121212121818181818181818242424242424242436363636363636363636363636363636363636363636363672727272
order1222344666441212336666661212366612121212121212122244666612121212121212124444444444121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1
χ51111111111-1-11111111111-1-111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ61111111111-1-11111111111-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-11-1-1111111111-1-1-1-111-1-1-1-1
χ71111111111-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-1-111111-1-1-1-11111-1-1-1-111
χ81111111111-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111111-1-1-1-1-1-1-11111111111-1-1
χ911111-1-11111-1-1-1111111111-11111-1-1-1-111-1-111-1-111111-1-1-111-1-11-11-11-1-11-11-1-111-1-1-1-111-1-1111-11-1
χ1011111-1-11111-1-1-1111111111-11111-1-1-1-111-1-111-1-111111-1-1-111-1-1-11-111-11-11-111-1-1-1-11111-1-1-1-1-11-11
χ1111111-1-11111-1-1-1111111111-11111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-1-11-111-11-1-11-111-1-111-1-1-1-11111-111-1
χ1211111-1-11111-1-1-1111111111-11111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-111-1-1-11-1-1-1111-11-1-1111111-1-111-1-11-1-11
χ1311111-1-1111-11-1-111111111-111111-1-1-1-1-1-11111-1-11111-11-1-1-1-1111-1-11-1111-1-111-1-1-1-111-1-111-1-11-11-1
χ1411111-1-1111-11-1-111111111-111111-1-1-1-1-1-11111-1-11111-11-1-1-1-111-111-1-11-1-111-1-111-1-1-1-1-1-11111-11-11
χ1511111-1-1111-11-1-111111111-111111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-1111-1-1-11-11-111-1-111111111-1-1-1-1-111-1
χ1611111-1-1111-11-1-111111111-111111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-1-1-111-11111-1-11-1-111-1-111-1-111-1-1111-1-11
χ17222222222222222-1-12-12-1222-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-100002200000000-1-100-1-1-1-1000000
χ18222222222222222-1-12-12-1222-1-1-1-122-1-1-1-1-1-1-2-2-2-2111122-1-1-1-1-1-10000-2-20000000011001111000000
χ1922222222222222-122-12-12-122-1-1-1-1-1-122222200000000-1-1-1-1-1-1-1-12220002000000000-1-10000-1-100-1-1
χ2022222222222222-122-12-12-122-1-1-1-1-1-122222200000000-1-1-1-1-1-1-1-1-2-2-2000-2000000000110000110011
χ212222222222-2-2222-1-12-12-12-2-2-1-1-1-122-1-111112222-1-1-1-1-2-2-1-111110000-2-200000000-1-1001111000000
χ222222222222-2-2222-1-12-12-12-2-2-1-1-1-122-1-11111-2-2-2-21111-2-2-1-11111000022000000001100-1-1-1-1000000
χ232222222222-2-222-122-12-12-1-2-2-1-1-1-1-1-122-2-2-2-20000000011-1-1111122-2000-20000000001100001100-1-1
χ242222222222-2-222-122-12-12-1-2-2-1-1-1-1-1-122-2-2-2-20000000011-1-11111-2-220002000000000-1-10000-1-10011
χ2522222-2-22222-2-2-22-1-12-12-122-2-1-1-1-1-2-211-1-11122-2-2-1-1-1-12-211-1-11100002-2000000001100-1-111000000
χ2622222-2-22222-2-2-22-1-12-12-122-2-1-1-1-1-2-211-1-111-2-22211112-211-1-1110000-2200000000-1-10011-1-1000000
χ2722222-2-22222-2-2-2-122-12-12-12-2-1-1-1-111-2-222-2-200000000-1111-1-1112-22000-2000000000110000-1-100-11
χ2822222-2-22222-2-2-2-122-12-12-12-2-1-1-1-111-2-222-2-200000000-1111-1-111-22-20002000000000-1-1000011001-1
χ2922222-2-2222-22-2-22-1-12-12-12-22-1-1-1-1-2-21111-1-122-2-2-1-1-1-1-221111-1-10000-2200000000110011-1-1000000
χ3022222-2-2222-22-2-22-1-12-12-12-22-1-1-1-1-2-21111-1-1-2-2221111-221111-1-100002-200000000-1-100-1-111000000
χ3122222-2-2222-22-2-2-122-12-12-1-22-1-1-1-111-2-2-2-222000000001-11111-1-12-2-20002000000000-1-100001100-11
χ3222222-2-2222-22-2-2-122-12-12-1-22-1-1-1-111-2-2-2-222000000001-11111-1-1-222000-2000000000110000-1-1001-1
χ3322-2-222-22-2-2002-222-222-2-2-2002-22-22-22-200002-22-222-2-2002-20000000000000000002-2000000000000
χ3422-2-222-22-2-2002-222-222-2-2-2002-22-22-22-20000-22-22-2-222002-2000000000000000000-22000000000000
χ3522-2-222-22-2-2002-22-112-1-21-200-11-112-2-113−33−32-22-2-1-11100-113−33−300000000000000-11003−33−3000000
χ3622-2-222-22-2-2002-22-112-1-21-200-11-112-2-113−33−3-22-2211-1-100-113−33−3000000000000001-100−33−33000000
χ3722-2-222-22-2-2002-22-112-1-21-200-11-112-2-11−33−332-22-2-1-11100-11−33−3300000000000000-1100−33−33000000
χ3822-2-222-22-2-2002-22-112-1-21-200-11-112-2-11−33−33-22-2211-1-100-11−33−33000000000000001-1003−33−3000000
χ3922-2-22-222-2-200-2222-222-2-2-2002-22-2-22-2200002-2-2222-2-200-22000000000000000000-22000000000000
χ4022-2-22-222-2-200-2222-222-2-2-2002-22-2-22-220000-222-2-2-22200-220000000000000000002-2000000000000
χ4122-2-22-222-2-200-222-112-1-21-200-11-11-221-13−3−332-2-22-1-111001-13−3−33000000000000001-1003−3−33000000
χ4222-2-22-222-2-200-222-112-1-21-200-11-11-221-13−3−33-222-211-1-1001-13−3−3300000000000000-1100−333−3000000
χ4322-2-22-222-2-200-222-112-1-21-200-11-11-221-1−333−32-2-22-1-111001-1−333−3000000000000001-100−333−3000000
χ4422-2-22-222-2-200-222-112-1-21-200-11-11-221-1−333−3-222-211-1-1001-1−333−300000000000000-11003−3−33000000
χ4544444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2-2-2-2-200000000-2-21111110000000000000000000000000000
χ464444444444-4-444-2-2-2-2-2-2-2-2-4-41111-2-2-2-22222000000002211-1-1-1-10000000000000000000000000000
χ4744444-4-44444-4-4-4-2-2-2-2-2-2-2-24-411112222-2-22200000000-22-1-111-1-10000000000000000000000000000
χ4844444-4-4444-44-4-4-2-2-2-2-2-2-2-2-441111222222-2-2000000002-2-1-1-1-1110000000000000000000000000000
χ4944-4-444-44-4-4004-4-24-4-242-4200-22-22-224-400000000000000-2200000000000000000000000000000000
χ5044-4-444-44-4-4004-4-2-22-2-2222001-11-1-22-2223−2323−2300000000001-1−33−330000000000000000000000000000
χ5144-4-444-44-4-4004-4-2-22-2-2222001-11-1-22-22−2323−232300000000001-13−33−30000000000000000000000000000
χ5244-4-44-444-4-400-44-24-4-242-4200-22-222-2-44000000000000002-200000000000000000000000000000000
χ5344-4-44-444-4-400-44-2-22-2-2222001-11-12-22-223−23−23230000000000-11−333−30000000000000000000000000000
χ5444-4-44-444-4-400-44-2-22-2-2222001-11-12-22-2−232323−230000000000-113−3−330000000000000000000000000000
χ554-44-4400-44-40000444-4-4-4-440044-4-40000000000000000000000000000000000000000000000000000
χ564-44-4400-44-400004-2-2-42-42400-2-222000000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ574-44-4400-44-400004-2-2-42-42400-2-2220000000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ584-44-4400-44-40000-2442-42-4-200-2-222000000000000000000000000000000000000000023−230000000000
χ594-44-4400-44-40000-2442-42-4-200-2-2220000000000000000000000000000000000000000−23230000000000
χ604-4-44400-4-44000044-4-4-444-4004-4-440000000000000000000000000000000000000000000000000000
χ614-4-44400-4-4400004-22-424-2-400-222-2000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ624-4-44400-4-4400004-22-424-2-400-222-20000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ634-4-44400-4-440000-24-42-4-24200-222-2000000000000000000000000000000000000000000000023−230000
χ644-4-44400-4-440000-24-42-4-24200-222-20000000000000000000000000000000000000000000000−23230000
χ656666-366-3-3-366-3-300000000-3-300000000000000000000000000000002000222-1-1-1-10000000000-1-100
χ666666-366-3-3-366-3-300000000-3-30000000000000000000000000000000-2000-2-2-2111100000000001100
χ676666-366-3-3-3-6-6-3-3000000003300000000000000000000000000000002000-2-22-1-1-1-100000000001100
χ686666-366-3-3-3-6-6-3-300000000330000000000000000000000000000000-200022-211110000000000-1-100
χ696666-3-6-6-3-3-36-63300000000-3300000000000000000000000000000002000-22-2-1-11100000000001-100
χ706666-3-6-6-3-3-36-63300000000-330000000000000000000000000000000-20002-2211-1-10000000000-1100
χ716666-3-6-6-3-3-3-6633000000003-3000000000000000000000000000000020002-2-2-1-1110000000000-1100
χ726666-3-6-6-3-3-3-6633000000003-30000000000000000000000000000000-2000-22211-1-100000000001-100
χ738-88-8800-88-80000-4-4-44444-40022-2-20000000000000000000000000000000000000000000000000000
χ748-8-88800-8-880000-4-4444-4-44002-2-220000000000000000000000000000000000000000000000000000
χ751212-12-12-612-12-66600-66000000000000000000000000000000000000000000000000000000000000000000
χ761212-12-12-6-1212-666006-6000000000000000000000000000000000000000000000000000000000000000000
χ7712-1212-12-6006-660000000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ7812-1212-12-6006-6600000000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ7912-12-1212-60066-6000000000000000000000000000000000000000000000000000000−2i32i300000000000000
χ8012-12-1212-60066-60000000000000000000000000000000000000000000000000000002i3−2i300000000000000

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