Finite Group Databasebeta

← Group #13151308

Character table — Group #13151308

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11222444466661212121218181818242424242436363636363636363636363672721122244446666121212121818181824242424243636363636363636363636367272
order123462661233663612122412126666124446881212242424241212226462661266666612122412126666124446881212242424241212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-111-1-1-1-1-1-1111111111111111111111111111-1-11-1-111-1-1-1-1-1-1
χ311111111111111111-1-1-1-111111-11-1-11-1-1-111-1-11-111111111111111111-1-1-1-111111-11-1-11-1-1-111-1-11-1
χ411111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-1111111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-11
χ511111-1-1-11111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-11111111-1-1-11111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-111
χ611111-1-1-11111111111111-1-1-1-11-1-1-1111-1-11111-1-111111-1-1-11111111111111-1-1-1-11-1-1-1111-1-11111-1-1
χ711111-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1111-1-1111-111111-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1111-1-1111-1
χ811111-1-1-1111111111-1-1-1-1-1-1-1-111-11-11-11111-1-1-1111111-1-1-1111111111-1-1-1-1-1-1-1-111-11-11-11111-1-1-11
χ92222222222-12-1-1-12-100002-1-1-1-10020020000-1-10-12222222222-12-1-1-12-100002-1-1-1-10020020000-1-10-1
χ102222222222-12-1-1-12-100002-1-1-1-100-200-2000011012222222222-12-1-1-12-100002-1-1-1-100-200-200001101
χ11222222222-12-12-1-1-120000-12-1-1-102002000-1-100-10222222222-12-12-1-1-120000-12-1-1-102002000-1-100-10
χ12222222222-12-12-1-1-120000-12-1-1-10-200-2000110010222222222-12-12-1-1-120000-12-1-1-10-200-2000110010
χ1322222-2-2-222-12-1-1-12-10000-2111-100200-20000110-122222-2-2-222-12-1-1-12-10000-2111-100200-20000110-1
χ1422222-2-2-222-12-1-1-12-10000-2111-100-20020000-1-10122222-2-2-222-12-1-1-12-10000-2111-100-20020000-1-101
χ1522222-2-2-22-12-12-1-1-1200001-211-10200-20001100-1022222-2-2-22-12-12-1-1-1200001-211-10200-20001100-10
χ1622222-2-2-22-12-12-1-1-1200001-211-10-2002000-1-1001022222-2-2-22-12-12-1-1-1200001-211-10-2002000-1-10010
χ17222-22000-2222222-2-22-2-2-20000-200020000000000222-22000-2222222-2-22-2-2-20000-200020000000000
χ18222-22000-2222222-2-2-22220000-2000-20000000000222-22000-2222222-2-2-22220000-2000-20000000000
χ19444444444-2-2-2-211-2-20000-2-211100000000000000444444444-2-2-2-211-2-20000-2-211100000000000000
χ2044444-4-4-44-2-2-2-211-2-2000022-1-110000000000000044444-4-4-44-2-2-2-211-2-2000022-1-1100000000000000
χ21444-44000-44-24-2-2-2-4200000000200000000000000444-44000-44-24-2-2-2-4200000000200000000000000
χ22444-44000-4-24-24-2-22-400000000200000000000000444-44000-4-24-24-2-22-400000000200000000000000
χ23444-44000-4-2-2-2-211220000003-3-100000000000000444-44000-4-2-2-2-211220000003-3-100000000000000
χ24444-44000-4-2-2-2-21122000000-33-100000000000000444-44000-4-2-2-2-21122000000-33-100000000000000
χ254-440-4000044-4-44-400000000000000000000000004-440-4000044-4-44-40000000000000000000000000
χ264-440-400004-2-42-220000000000000000000006−6004-440-400004-2-42-220000000000000000000006−600
χ274-440-400004-2-42-22000000000000000000000−66004-440-400004-2-42-22000000000000000000000−6600
χ284-440-40000-242-4-2200000000000000000006−600004-440-40000-242-4-2200000000000000000006−60000
χ294-440-40000-242-4-220000000000000000000−6600004-440-40000-242-4-220000000000000000000−660000
χ3066-36-36-3-3-30000000022-1-100000200-100-1-100000066-36-36-3-3-30000000022-1-100000200-100-1-1000000
χ3166-36-36-3-3-300000000-2-21100000-2001001100000066-36-36-3-3-300000000-2-21100000-20010011000000
χ3266-36-3-633-30000000022-1-100000-200-1001100000066-36-3-633-30000000022-1-100000-200-10011000000
χ3366-36-3-633-300000000-2-21100000200100-1-100000066-36-3-633-300000000-2-21100000200100-1-1000000
χ3466-3-6-30−3i33i33000000002-21100000000-100−i3i300000066-3-6-30−3i33i33000000002-21100000000-100−i3i3000000
χ3566-3-6-30−3i33i3300000000-22-1-100000000100i3−i300000066-3-6-30−3i33i3300000000-22-1-100000000100i3−i3000000
χ3666-3-6-303i3−3i33000000002-21100000000-100i3−i300000066-3-6-303i3−3i33000000002-21100000000-100i3−i3000000
χ3766-3-6-303i3−3i3300000000-22-1-100000000100−i3i300000066-3-6-303i3−3i3300000000-22-1-100000000100−i3i3000000
χ388-880-80000-4-4442-200000000000000000000000008-880-80000-4-4442-20000000000000000000000000
χ3912-12-6060000000000000023−23000000000000000000012-12-6060000000000000023−230000000000000000000
χ4012-12-60600000000000000−2323000000000000000000012-12-60600000000000000−23230000000000000000000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ42111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111
χ4311111111111111111-1-1-1-111111-11-1-11-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-111-1111-1-111-11
χ4411111111111111111-1-1-1-111111-1-11-1-11-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-11111-1-11-1
χ4511111-1-1-11111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-111111111-1-1
χ4611111-1-1-11111111111111-1-1-1-11-1-1-1111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-111-1-1-1-111
χ4711111-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1111-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-111-1-1-11
χ4811111-1-1-1111111111-1-1-1-1-1-1-1-111-11-11-11111-1-1-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-111111111-1-11-11-11-1-1-1-1111-1
χ492222222222-12-1-1-12-100002-1-1-1-10020020000-1-10-1-2-2-2-2-2-2-2-2-2-21-2111-210000-2111100-200-200001101
χ502222222222-12-1-1-12-100002-1-1-1-100-200-200001101-2-2-2-2-2-2-2-2-2-21-2111-210000-211110020020000-1-10-1
χ51222222222-12-12-1-1-120000-12-1-1-102002000-1-100-10-2-2-2-2-2-2-2-2-21-21-2111-200001-21110-200-2000110010
χ52222222222-12-12-1-1-120000-12-1-1-10-200-2000110010-2-2-2-2-2-2-2-2-21-21-2111-200001-211102002000-1-100-10
χ5322222-2-2-222-12-1-1-12-10000-2111-100200-20000110-1-2-2-2-2-2222-2-21-2111-2100002-1-1-1100-20020000-1-101
χ5422222-2-2-222-12-1-1-12-10000-2111-100-20020000-1-101-2-2-2-2-2222-2-21-2111-2100002-1-1-1100200-20000110-1
χ5522222-2-2-22-12-12-1-1-1200001-211-10200-20001100-10-2-2-2-2-2222-21-21-2111-20000-12-1-110-2002000-1-10010
χ5622222-2-2-22-12-12-1-1-1200001-211-10-2002000-1-10010-2-2-2-2-2222-21-21-2111-20000-12-1-110200-20001100-10
χ57222-22000-2222222-2-22-2-2-20000-200020000000000-2-2-22-20002-2-2-2-2-2-222-222200002000-20000000000
χ58222-22000-2222222-2-2-22220000-2000-20000000000-2-2-22-20002-2-2-2-2-2-2222-2-2-20000200020000000000
χ59444444444-2-2-2-211-2-20000-2-211100000000000000-4-4-4-4-4-4-4-4-42222-1-122000022-1-1-100000000000000
χ6044444-4-4-44-2-2-2-211-2-2000022-1-1100000000000000-4-4-4-4-4444-42222-1-1220000-2-211-100000000000000
χ61444-44000-44-24-2-2-2-4200000000200000000000000-4-4-44-40004-42-42224-200000000-200000000000000
χ62444-44000-4-24-24-2-22-400000000200000000000000-4-4-44-400042-42-422-2400000000-200000000000000
χ63444-44000-4-2-2-2-211220000003-3-100000000000000-4-4-44-400042222-1-1-2-2000000-33100000000000000
χ64444-44000-4-2-2-2-21122000000-33-100000000000000-4-4-44-400042222-1-1-2-20000003-3100000000000000
χ654-440-4000044-4-44-40000000000000000000000000-44-4040000-4-444-440000000000000000000000000
χ664-440-400004-2-42-220000000000000000000006−600-44-4040000-424-22-2000000000000000000000−6600
χ674-440-400004-2-42-22000000000000000000000−6600-44-4040000-424-22-20000000000000000000006−600
χ684-440-40000-242-4-2200000000000000000006−60000-44-40400002-4-242-20000000000000000000−660000
χ694-440-40000-242-4-220000000000000000000−660000-44-40400002-4-242-200000000000000000006−60000
χ7066-36-36-3-3-30000000022-1-100000200-100-1-1000000-6-63-63-633300000000-2-21100000-20010011000000
χ7166-36-36-3-3-300000000-2-21100000-20010011000000-6-63-63-63330000000022-1-100000200-100-1-1000000
χ7266-36-3-633-30000000022-1-100000-200-10011000000-6-63-636-3-3300000000-2-21100000200100-1-1000000
χ7366-36-3-633-300000000-2-21100000200100-1-1000000-6-63-636-3-330000000022-1-100000-200-10011000000
χ7466-3-6-30−3i33i33000000002-21100000000-100−i3i3000000-6-636303i3−3i3-300000000-22-1-100000000100i3−i3000000
χ7566-3-6-30−3i33i3300000000-22-1-100000000100i3−i3000000-6-636303i3−3i3-3000000002-21100000000-100−i3i3000000
χ7666-3-6-303i3−3i33000000002-21100000000-100i3−i3000000-6-63630−3i33i3-300000000-22-1-100000000100−i3i3000000
χ7766-3-6-303i3−3i3300000000-22-1-100000000100−i3i3000000-6-63630−3i33i3-3000000002-21100000000-100i3−i3000000
χ788-880-80000-4-4442-20000000000000000000000000-88-808000044-4-4-220000000000000000000000000
χ7912-12-6060000000000000023−230000000000000000000-121260-600000000000000−23230000000000000000000
χ8012-12-60600000000000000−23230000000000000000000-121260-60000000000000023−230000000000000000000

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