Finite Group Databasebeta

← Group #13151379

Character table — Group #13151379

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order12222236662466336666666124444366666666612124444444444121212126666612121224444412121212121212121212121212126121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11
χ51111111111-1-11111111111-1-11111111-1-111111-1-111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ61111111111-1-11111111111-1-11111111-1-111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-1111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111-1-11
χ81111111111-1-11111111111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-111-1
χ91111-1-111111-1-1-1111111111-111111-1-111-1-1111-1-111-1-1-1-111-1-111111-1-111-1-1-11-11-11-111-1-1-1-111-1-1-1-11111-1-1
χ101111-1-111111-1-1-1111111111-111111-1-111-1-1111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-111-1-11-1-111-1-1-1-111-1-111-1-111
χ111111-1-111111-1-1-1111111111-1-1-1-1-11-1-111-1-1111-1-111-1-111-1-111-1-1-1-11-1-111-1-1-1-11-111-111-1-111-1-11111-1-1-11-11
χ121111-1-111111-1-1-1111111111-1-1-1-1-11-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-11-1-11-11-1-1111111-1-111-1-11-11-1
χ131111-1-11111-11-1-111111111-1111111-1-1-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1111-11-11-1111-1-11111-1-1-1-1-1-1-1-111
χ141111-1-11111-11-1-111111111-1111111-1-1-1-1-1-111111-1-111-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-11111-1-111-1-1-1-111-1-1
χ151111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1-11111-11-1-1111-1-1-1-1-1-11111111-11-1
χ161111-1-11111-11-1-111111111-11-1-1-1-11-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-1-111-1-111-1-11111-11-11
χ17222222222222222-1-122-1-12220000-12222-1-1-1-1-12200000022220000-1-1-1-1-1-1-1-1220000000000-1-1-1-10000-100-1
χ18222222222222222-1-122-1-12220000-12222-1-1-1-1-122000000-2-2-2-20000-1-1-1-1-1-1-1-1-2-20000000000111100001001
χ1922222222222222-122-1-122-1222222-1-1-1-1-122-1-1-1-1-10000220000-1-1-1-12-1-1-1-12-1-10022000000-1-10000-1-1-1-10000
χ2022222222222222-122-1-122-122-2-2-2-2-1-1-1-1-122-1-1-1-1-10000-2-2000011112-1-1-1-12-1-100-2-200000011000011110000
χ212222222222-2-2222-1-122-1-12-2-20000-122-2-2-1-1-1-1-1-2-2000000222200001-1-111111-2-20000000000-1-1-1-100001001
χ222222222222-2-2222-1-122-1-12-2-20000-122-2-2-1-1-1-1-1-2-2000000-2-2-2-200001-1-11111122000000000011110000-100-1
χ232222222222-2-222-122-1-122-1-2-22222-1-1-11122-1-1-1110000220000-1-1-1-1-2-1-111-21100-2-2000000110000-1-1110000
χ242222222222-2-222-122-1-122-1-2-2-2-2-2-2-1-1-11122-1-1-1110000-2-200001111-2-1-111-2110022000000-1-1000011-1-10000
χ252222-2-222222-2-2-22-1-122-1-122-20000-1-2-22211-1-1-1-2-200000022-2-20000-111-1-11112-20000000000-1-1110000-1001
χ262222-2-222222-2-2-22-1-122-1-122-20000-1-2-22211-1-1-1-2-2000000-2-2220000-111-1-1111-22000000000011-1-10000100-1
χ272222-2-222222-2-2-2-122-1-122-12-22222-111-1-1-2-2-1-1-1110000-2-20000-1-1-1-1211-1-1-211002-200000011000011-1-10000
χ282222-2-222222-2-2-2-122-1-122-12-2-2-2-2-2-111-1-1-2-2-1-1-11100002200001111211-1-1-21100-22000000-1-10000-1-1110000
χ292222-2-22222-22-2-22-1-122-1-12-220000-1-2-2-2-211-1-1-12200000022-2-2000011111-1-1-1-220000000000-1-1110000100-1
χ302222-2-22222-22-2-22-1-122-1-12-220000-1-2-2-2-211-1-1-122000000-2-222000011111-1-1-12-2000000000011-1-10000-1001
χ312222-2-22222-22-2-2-122-1-122-1-222222-11111-2-2-1-1-1-1-10000-2-20000-1-1-1-1-211112-1-100-22000000-1-1000011110000
χ322222-2-22222-22-2-2-122-1-122-1-22-2-2-2-2-11111-2-2-1-1-1-1-100002200001111-211112-1-1002-2000000110000-1-1-1-10000
χ3322-2-22-22-2-22002-222-22-22-2-2002i2i−2i−2i22-2002-2-2-220000002i−2i00002i2i−2i−2i02-20000000000000000000002i−2i000000
χ3422-2-22-22-2-22002-222-22-22-2-200−2i−2i2i2i22-2002-2-2-22000000−2i2i0000−2i−2i2i2i02-2000000000000000000000−2i2i000000
χ3522-2-22-22-2-22002-2-12-2-112-21002i2i−2i−2i-1-11−i3i32-211-1−i3i300002i−2i0000−i−iii0-11−i3i30−i3i300000000003−30000−ii3−30000
χ3622-2-22-22-2-22002-2-12-2-112-21002i2i−2i−2i-1-11i3−i32-211-1i3−i300002i−2i0000−i−iii0-11i3−i30i3−i30000000000−330000−ii−330000
χ3722-2-22-22-2-22002-2-12-2-112-2100−2i−2i2i2i-1-11−i3i32-211-1−i3i30000−2i2i0000ii−i−i0-11−i3i30−i3i30000000000−330000i−i−330000
χ3822-2-22-22-2-22002-2-12-2-112-2100−2i−2i2i2i-1-11i3−i32-211-1i3−i30000−2i2i0000ii−i−i0-11i3−i30i3−i300000000003−30000i−i3−30000
χ3922-2-2-222-2-2200-2222-22-22-2-2002i2i−2i−2i2-2200-22-2-22000000−2i2i00002i2i−2i−2i0-22000000000000000000000−2i2i000000
χ4022-2-2-222-2-2200-2222-22-22-2-200−2i−2i2i2i2-2200-22-2-220000002i−2i0000−2i−2i2i2i0-220000000000000000000002i−2i000000
χ4122-2-2-222-2-2200-22-12-2-112-21002i2i−2i−2i-11-1−i3i3-2211-1i3−i30000−2i2i0000−i−iii01-1−i3i30i3−i30000000000−330000i−i3−30000
χ4222-2-2-222-2-2200-22-12-2-112-21002i2i−2i−2i-11-1i3−i3-2211-1−i3i30000−2i2i0000−i−iii01-1i3−i30−i3i300000000003−30000i−i−330000
χ4322-2-2-222-2-2200-22-12-2-112-2100−2i−2i2i2i-11-1−i3i3-2211-1i3−i300002i−2i0000ii−i−i01-1−i3i30i3−i300000000003−30000−ii−330000
χ4422-2-2-222-2-2200-22-12-2-112-2100−2i−2i2i2i-11-1i3−i3-2211-1−i3i300002i−2i0000ii−i−i01-1i3−i30−i3i30000000000−330000−ii3−30000
χ452-22-20022-2-20000222-2-2-2-22002-22-220000002-2-200002i−2i00002i−2i2-22-200000000000000002i−2i00002i−2i00000000
χ462-22-20022-2-20000222-2-2-2-22002-22-220000002-2-20000−2i2i0000−2i2i2-22-20000000000000000−2i2i0000−2i2i00000000
χ472-22-20022-2-20000222-2-2-2-2200-22-2220000002-2-200002i−2i0000−2i2i-22-2200000000000000002i−2i0000−2i2i00000000
χ482-22-20022-2-20000222-2-2-2-2200-22-2220000002-2-20000−2i2i00002i−2i-22-220000000000000000−2i2i00002i−2i00000000
χ492-2-22002-22-2000022-2-22-22-2002i−2i−2i2i2000000-22-2002i−2i00002-2002i−2i−2i2i000000000000002i−2i00002-20000000000
χ502-2-22002-22-2000022-2-22-22-2002i−2i−2i2i2000000-22-200−2i2i0000-22002i−2i−2i2i00000000000000−2i2i0000-220000000000
χ512-2-22002-22-2000022-2-22-22-200−2i2i2i−2i2000000-22-2002i−2i0000-2200−2i2i2i−2i000000000000002i−2i0000-220000000000
χ522-2-22002-22-2000022-2-22-22-200−2i2i2i−2i2000000-22-200−2i2i00002-200−2i2i2i−2i00000000000000−2i2i00002-20000000000
χ5344444444444444-2-2-2-2-2-2-2-24400001-2-2-2-2-2-2111-2-200000000000000-21111-211000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-400001-2-222-2-21112200000000000000211-1-12-1-1000000000000000000000000
χ554444-4-444444-4-4-4-2-2-2-2-2-2-2-24-40000122-2-2221112200000000000000-2-1-1112-1-1000000000000000000000000
χ564444-4-44444-44-4-4-2-2-2-2-2-2-2-2-4400001222222111-2-2000000000000002-1-1-1-1-211000000000000000000000000
χ5744-4-44-44-4-44004-44-224-4-22-4000000-24-400-2222-200000000000000000-2200000000000000000000000000000
χ5844-4-44-44-4-44004-4-2-22-22-2220000001-22−2i32i3-22-1-11−2i32i30000000000000001-1i3−i30i3−i3000000000000000000000000
χ5944-4-44-44-4-44004-4-2-22-22-2220000001-222i3−2i3-22-1-112i3−2i30000000000000001-1−i3i30−i3i3000000000000000000000000
χ6044-4-4-444-4-4400-444-224-4-22-4000000-2-44002-222-2000000000000000002-200000000000000000000000000000
χ6144-4-4-444-4-4400-44-2-22-22-22200000012-2−2i32i32-2-1-112i3−2i3000000000000000-11i3−i30−i3i3000000000000000000000000
χ6244-4-4-444-4-4400-44-2-22-22-22200000012-22i3−2i32-2-1-11−2i32i3000000000000000-11−i3i30i3−i3000000000000000000000000
χ634-44-40044-4-400004-2-2-4-4224000000-2000000-22200000000004i−4i00000000000000000000000000−2i2i00000000
χ644-44-40044-4-400004-2-2-4-4224000000-2000000-2220000000000−4i4i000000000000000000000000002i−2i00000000
χ654-44-40044-4-40000-24422-4-4-2004-44-4-2000000-222000000000000-22-2200000000000000000000000000000000
χ664-44-40044-4-40000-24422-4-4-200-44-44-2000000-2220000000000002-22-200000000000000000000000000000000
χ674-4-44004-44-400004-22-442-2-4000000-20000002-22000000004-400000000000000000000000000-220000000000
χ684-4-44004-44-400004-22-442-2-4000000-20000002-2200000000-44000000000000000000000000002-20000000000
χ694-4-44004-44-40000-24-42-2-442004i−4i−4i4i-20000002-22000000000000−2i2i2i−2i00000000000000000000000000000000
χ704-4-44004-44-40000-24-42-2-44200−4i4i4i−4i-20000002-220000000000002i−2i−2i2i00000000000000000000000000000000
χ71666666-3-3-3-366-3-300000000-3-300000000000000002222000000000000000000000022-1-1-1-100000000000-1-10
χ72666666-3-3-3-366-3-300000000-3-30000000000000000-2-2-2-20000000000000000000000-2-2111100000000000110
χ73666666-3-3-3-3-6-6-3-30000000033000000000000000022220000000000000000000000-2-2-1-1-1-100000000000110
χ74666666-3-3-3-3-6-6-3-300000000330000000000000000-2-2-2-2000000000000000000000022111100000000000-1-10
χ756666-6-6-3-3-3-36-63300000000-33000000000000000022-2-200000000000000000000002-2-1-11100000000000-110
χ766666-6-6-3-3-3-36-63300000000-330000000000000000-2-2220000000000000000000000-2211-1-1000000000001-10
χ776666-6-6-3-3-3-3-6633000000003-3000000000000000022-2-20000000000000000000000-22-1-111000000000001-10
χ786666-6-6-3-3-3-3-6633000000003-30000000000000000-2-22200000000000000000000002-211-1-100000000000-110
χ798-88-80088-8-80000-4-4-44444-400000020000002-2-2000000000000000000000000000000000000000000000000
χ808-8-88008-88-80000-4-444-44-440000002000000-22-2000000000000000000000000000000000000000000000000
χ811212-12-1212-12-666-600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-12-1212-666-6006-6000000000000000000000000000000000000000000000000000000000000000000000000
χ8312-1212-1200-6-666000000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000000000
χ8412-1212-1200-6-66600000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000000000000
χ8512-12-121200-66-660000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000000000000000
χ8612-12-121200-66-66000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000000000000000

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