Finite Group Databasebeta

← Group #13148507

Character table — Group #13148507

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order12223446662412123366666661222223666661212121212124444444444666666612121212122444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111111111-1-11-11-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111-1-11111111111-1-111111-1-11111111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ61111111111-1-11111111111-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-11-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-11-11111111-1-111-1-1-1-1-1-111
χ81111111111-1-11111111111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111-11-111-1-1-1-1-1-111111111-1-1
χ911111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1-1-11-11
χ1011111-1-11111-1-1-1111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11-111-1-111-1-111-1-1-1-1-1-1111-11-1
χ1111111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-1-1-11-111-1-1-111-1-11111-1-111-111-1
χ1211111-1-11111-1-1-1111111111-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-111-1-11-1-1-1-111111111-1-11-1-11
χ1311111-1-1111-11-1-111111111-1111111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-11-1-111-1111-1-1-1-111-1-1-1-11111-1-11-11-1
χ1411111-1-1111-11-1-111111111-1111111-1-1111-1-1-1-111-1-1-1-1-1-111111111-1-1-11-1-111-11-1-111-1-1-1-111-1-111-1-111-11-11
χ1511111-1-1111-11-1-111111111-11-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-11-1-1111-11-1-111111-1-111-1-1-1-1111-1-11
χ1611111-1-1111-11-1-111111111-11-1-1-1-11-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1111-1-111-111-1-11111-1-111-1-1-111-1
χ17222222222222222-1-122-1-12222222-1-1-1-1-1-122-1-1-1-12200000000-1-1-1-12-1-12-1-1-1-1220000-1-10000-1-1-1-100000000
χ18222222222222222-1-122-1-1222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-20000000011112-1-12-1-1-1-1-2-20000110000111100000000
χ1922222222222222-122-1-122-1220000-122-1-1-1-1-1222200002200220000-1-1-1-1-1-1-1-10002020000000000-1-1-1-100-1-1
χ2022222222222222-122-1-122-1220000-122-1-1-1-1-122220000-2-200-2-20000-1-1-1-1-1-1-1-1000-20-2000000000011110011
χ212222222222-2-2222-1-122-1-12-2-22222-111-1-1-122-1-1112200000000-1-1-1-1-211-2-1-111-2-20000110000-1-11100000000
χ222222222222-2-2222-1-122-1-12-2-2-2-2-2-2-111-1-1-122-1-111-2-2000000001111-211-2-1-111220000-1-1000011-1-100000000
χ232222222222-2-222-122-1-122-1-2-20000-1-2-2-1-1-1-1-122-2-2000022002200001111-1-111000-20-20000000000-1-1-1-10011
χ242222222222-2-222-122-1-122-1-2-20000-1-2-2-1-1-1-1-122-2-20000-2-200-2-200001111-1-1110002020000000000111100-1-1
χ2522222-2-22222-2-2-22-1-122-1-122-22222-1-1-1-1-1-1-2-21111-2-200000000-1-1-1-12-1-1-211112-20000-1-10000111100000000
χ2622222-2-22222-2-2-22-1-122-1-122-2-2-2-2-2-1-1-1-1-1-1-2-21111220000000011112-1-1-21111-220000110000-1-1-1-100000000
χ2722222-2-22222-2-2-2-122-1-122-12-20000-122-1-1-111-2-2-2-200002200-2-20000-1-1-111111000-2020000000000-1-111001-1
χ2822222-2-22222-2-2-2-122-1-122-12-20000-122-1-1-111-2-2-2-20000-2-200220000-1-1-11111100020-2000000000011-1-100-11
χ2922222-2-2222-22-2-22-1-122-1-12-222222-111-1-1-1-2-211-1-1-2-200000000-1-1-1-1-211211-1-1-22000011000011-1-100000000
χ3022222-2-2222-22-2-22-1-122-1-12-22-2-2-2-2-111-1-1-1-2-211-1-122000000001111-211211-1-12-20000-1-10000-1-11100000000
χ3122222-2-2222-22-2-2-122-1-122-1-220000-1-2-2-1-1-111-2-22200002200-2-20000111-111-1-100020-20000000000-1-11100-11
χ3222222-2-2222-22-2-2-122-1-122-1-220000-1-2-2-1-1-111-2-2220000-2-200220000111-111-1-1000-202000000000011-1-1001-1
χ3322-2-22002-2-2000022-22-22-2-20022-2-2200-22-2000000002i−2i2i−2i000022-2-200000000000000002i−2i0000002i−2i000000
χ3422-2-22002-2-2000022-22-22-2-20022-2-2200-22-200000000−2i2i−2i2i000022-2-20000000000000000−2i2i000000−2i2i000000
χ3522-2-22002-2-2000022-22-22-2-200-2-222200-22-2000000002i−2i−2i2i0000-2-22200000000000000002i−2i000000−2i2i000000
χ3622-2-22002-2-2000022-22-22-2-200-2-222200-22-200000000−2i2i2i−2i0000-2-2220000000000000000−2i2i0000002i−2i000000
χ372-22-2200-22-2000022-2-22-22-2002-22-2200-2-220000000000002i−2i2i−2i2-22-20000000000000000002i−2i0000002i−2i0000
χ382-22-2200-22-2000022-2-22-22-2002-22-2200-2-22000000000000−2i2i−2i2i2-22-2000000000000000000−2i2i000000−2i2i0000
χ392-22-2200-22-2000022-2-22-22-200-22-22200-2-220000000000002i−2i−2i2i-22-220000000000000000002i−2i000000−2i2i0000
χ402-22-2200-22-2000022-2-22-22-200-22-22200-2-22000000000000−2i2i2i−2i-22-22000000000000000000−2i2i0000002i−2i0000
χ412-2-2222i−2i-2-22002i−2i222-2-2-2-22002-2-222002-2-22i−2i2i−2i002i−2i000000002-2-2200002i−2i000000000000002i−2i0000000000
χ422-2-2222i−2i-2-22002i−2i222-2-2-2-2200-222-22002-2-22i−2i2i−2i00−2i2i00000000-222-200002i−2i00000000000000−2i2i0000000000
χ432-2-2222i−2i-2-22002i−2i2-1-1-2-2112002-2-22-1−i3i3-1112i−2i−ii3−32i−2i00000000-111-10−i3i30−ii3−3000000−i3i30000−ii3−300000000
χ442-2-2222i−2i-2-22002i−2i2-1-1-2-2112002-2-22-1i3−i3-1112i−2i−ii−332i−2i00000000-111-10i3−i30−ii−33000000i3−i30000−ii−3300000000
χ452-2-2222i−2i-2-22002i−2i2-1-1-2-211200-222-2-1−i3i3-1112i−2i−ii3−3−2i2i000000001-1-110−i3i30−ii3−3000000i3−i30000i−i−3300000000
χ462-2-2222i−2i-2-22002i−2i2-1-1-2-211200-222-2-1i3−i3-1112i−2i−ii−33−2i2i000000001-1-110i3−i30−ii−33000000−i3i30000i−i3−300000000
χ472-2-222−2i2i-2-2200−2i2i222-2-2-2-22002-2-222002-2-2−2i2i−2i2i00−2i2i000000002-2-220000−2i2i00000000000000−2i2i0000000000
χ482-2-222−2i2i-2-2200−2i2i222-2-2-2-2200-222-22002-2-2−2i2i−2i2i002i−2i00000000-222-20000−2i2i000000000000002i−2i0000000000
χ492-2-222−2i2i-2-2200−2i2i2-1-1-2-2112002-2-22-1−i3i3-111−2i2ii−i−33−2i2i00000000-111-10−i3i30i−i−33000000−i3i30000i−i−3300000000
χ502-2-222−2i2i-2-2200−2i2i2-1-1-2-2112002-2-22-1i3−i3-111−2i2ii−i3−3−2i2i00000000-111-10i3−i30i−i3−3000000i3−i30000i−i3−300000000
χ512-2-222−2i2i-2-2200−2i2i2-1-1-2-211200-222-2-1−i3i3-111−2i2ii−i−332i−2i000000001-1-110−i3i30i−i−33000000i3−i30000−ii3−300000000
χ522-2-222−2i2i-2-2200−2i2i2-1-1-2-211200-222-2-1i3−i3-111−2i2ii−i3−32i−2i000000001-1-110i3−i30i−i3−3000000−i3i30000−ii−3300000000
χ5344444444444444-2-2-2-2-2-2-2-24400001-2-2111-2-2-2-2-2-200000000000000-211-21111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-40000122111-2-2-2-222000000000000002-1-1211-1-1000000000000000000000000
χ5544444-4-44444-4-4-4-2-2-2-2-2-2-2-24-400001-2-211122222200000000000000-2112-1-1-1-1000000000000000000000000
χ5644444-4-4444-44-4-4-2-2-2-2-2-2-2-2-4400001221112222-2-2000000000000002-1-1-2-1-111000000000000000000000000
χ5744-4-44004-4-400004-224-4-22-40044-4-4-2002-220000000000000000-2-22200000000000000000000000000000000
χ5844-4-44004-4-400004-224-4-22-400-4-444-2002-22000000000000000022-2-200000000000000000000000000000000
χ5944-4-44004-4-40000-24-4-224-42000000-2002-2200000000004i−4i00000000000000000000000000000000−2i2i000000
χ6044-4-44004-4-40000-24-4-224-42000000-2002-220000000000−4i4i000000000000000000000000000000002i−2i000000
χ614-44-4400-44-400004-22-442-2-4004-44-4-20022-20000000000000000-22-2200000000000000000000000000000000
χ624-44-4400-44-400004-22-442-2-400-44-44-20022-200000000000000002-22-200000000000000000000000000000000
χ634-44-4400-44-40000-24-42-2-442000000-20022-2000000000000004i−4i000000000000000000000000000000−2i2i0000
χ644-44-4400-44-40000-24-42-2-442000000-20022-200000000000000−4i4i0000000000000000000000000000002i−2i0000
χ654-4-4444i−4i-4-44004i−4i-24422-4-4-2000000-200-222−2i2i4i−4i00000000000000000000−2i2i00000000000000000000000000
χ664-4-4444i−4i-4-44004i−4i-2-2-22222-20000001−2i32i31-1-1−2i2i−2i2i23−23000000000000000i3−i30i−i−33000000000000000000000000
χ674-4-4444i−4i-4-44004i−4i-2-2-22222-200000012i3−2i31-1-1−2i2i−2i2i−2323000000000000000−i3i30i−i3−3000000000000000000000000
χ684-4-444−4i4i-4-4400−4i4i-24422-4-4-2000000-200-2222i−2i−4i4i000000000000000000002i−2i00000000000000000000000000
χ694-4-444−4i4i-4-4400−4i4i-2-2-22222-20000001−2i32i31-1-12i−2i2i−2i−2323000000000000000i3−i30−ii3−3000000000000000000000000
χ704-4-444−4i4i-4-4400−4i4i-2-2-22222-200000012i3−2i31-1-12i−2i2i−2i23−23000000000000000−i3i30−ii−33000000000000000000000000
χ716666-366-3-3-366-3-300000000-3-30000000000000000002200220000000000000000202000-1-1-1-100000000-1-100
χ726666-366-3-3-366-3-300000000-3-3000000000000000000-2-200-2-20000000000000000-20-20001111000000001100
χ736666-366-3-3-3-6-6-3-300000000330000000000000000002200220000000000000000-20-2000-1-1-1-1000000001100
χ746666-366-3-3-3-6-6-3-30000000033000000000000000000-2-200-2-20000000000000000202000111100000000-1-100
χ756666-3-6-6-3-3-36-63300000000-330000000000000000002200-2-20000000000000000-202000-1-111000000001-100
χ766666-3-6-6-3-3-36-63300000000-33000000000000000000-2-20022000000000000000020-200011-1-100000000-1100
χ776666-3-6-6-3-3-3-6633000000003-30000000000000000002200-2-2000000000000000020-2000-1-11100000000-1100
χ786666-3-6-6-3-3-3-6633000000003-3000000000000000000-2-200220000000000000000-20200011-1-1000000001-100
χ7988-8-88008-8-80000-4-44-44-444000000200-22-20000000000000000000000000000000000000000000000000000
χ808-88-8800-88-80000-4-444-44-44000000200-2-220000000000000000000000000000000000000000000000000000
χ811212-12-12-600-666000000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000000000
χ821212-12-12-600-66600000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000000000000
χ8312-1212-12-6006-660000000000000000000000000000000000004i−4i000000000000000000000000−2i2i000000000000
χ8412-1212-12-6006-66000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i000000000000
χ8512-12-1212-612i−12i66-600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-6−12i12i66-6006i−6i000000000000000000000000000000000000000000000000000000000000000000000000

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