Finite Group Databasebeta

← Group #13180610

Character table — Group #13180610

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112444488991212121218181818182424242422488881616181824242424363636363648484848336121212122424272736363636545454545472727272
order122336666222244244446612123663366666666121261212121266121222266666622224424444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-11-11-1-1-1-11-11-1111111111111-11-11-1-1-1-11-11-1111111111111-11-11-1-1-1-11-11-1
χ311111111111-11-111-1-1-1-1-11-1111111111111-11-111-1-1-1-1-11-1111111111111-11-111-1-1-1-1-11-11
χ411111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1
χ511-11111-1-11111-1-1-111-1-111-1-111-11111-1-11111-1-1-111-1-111-1-111-11111-1-11111-1-1-111-1-111-1-1
χ611-11111-1-1111-1-11-1-1-1111-1-1111-11111-1-1111-1-11-1-1-1111-1-1111-11111-1-1111-1-11-1-1-1111-1-11
χ711-11111-1-111-111-1-1-1-111-111-111-11111-1-111-111-1-1-1-111-111-111-11111-1-111-111-1-1-1-111-111-1
χ811-11111-1-111-1-111-111-1-1-1-11111-11111-1-111-1-111-111-1-1-1-11111-11111-1-111-1-111-111-1-1-1-111
χ9222222222-2-20000-200000000222222222-2-20000-200000000222222222-2-20000-200000000
χ1022-22222-2-2-2-2000020000000022-22222-2-2-2-2000020000000022-22222-2-2-2-20000200000000
χ112-2022-2-2002-200000002i−2i00002-2022-2-2002-200000002i−2i00002-2022-2-2002-200000002i−2i0000
χ122-2022-2-2002-20000000−2i2i00002-2022-2-2002-20000000−2i2i00002-2022-2-2002-20000000−2i2i0000
χ132-2022-2-200-22000002-20000002-2022-2-200-22000002-20000002-2022-2-200-22000002-2000000
χ142-2022-2-200-2200000-220000002-2022-2-200-2200000-220000002-2022-2-200-2200000-22000000
χ154441-21-21-2000202000000-10-14441-21-21-2000202000000-10-14441-21-21-2000202000000-10-1
χ164441-21-21-2000-20-20000001014441-21-21-2000-20-20000001014441-21-21-2000-20-2000000101
χ17444-21-21-2100202000000-10-10444-21-21-2100202000000-10-10444-21-21-2100202000000-10-10
χ18444-21-21-2100-20-20000001010444-21-21-2100-20-20000001010444-21-21-2100-20-20000001010
χ1944-41-21-2-1200020-2000000-10144-41-21-2-1200020-2000000-10144-41-21-2-1200020-2000000-101
χ2044-41-21-2-12000-20200000010-144-41-21-2-12000-20200000010-144-41-21-2-12000-20200000010-1
χ2144-4-21-212-10020-2000000-101044-4-21-212-10020-2000000-101044-4-21-212-10020-2000000-1010
χ2244-4-21-212-100-20200000010-1044-4-21-212-100-20200000010-1044-4-21-212-100-20200000010-10
χ238-802-4-24000000000000000008-802-4-24000000000000000008-802-4-2400000000000000000
χ248-80-424-2000000000000000008-80-424-2000000000000000008-80-424-200000000000000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111-11-11-1-1-1-11-11-1111111111111-11-11-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-11-11
χ2711111111111-11-111-1-1-1-1-11-1111111111111-11-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11-11-1-111111-11-1
χ2811111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111
χ2911-11111-1-11111-1-1-111-1-111-1-111-11111-1-11111-1-1-111-1-111-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-111
χ3011-11111-1-1111-1-11-1-1-1111-1-1111-11111-1-1111-1-11-1-1-1111-1-11-1-11-1-1-1-111-1-1-111-1111-1-1-111-1
χ3111-11111-1-111-111-1-1-1-111-111-111-11111-1-111-111-1-1-1-111-111-1-1-11-1-1-1-111-1-11-1-11111-1-11-1-11
χ3211-11111-1-111-1-111-111-1-1-1-11111-11111-1-111-1-111-111-1-1-1-111-1-11-1-1-1-111-1-111-1-11-1-11111-1-1
χ33222222222-2-20000-200000000222222222-2-20000-200000000-2-2-2-2-2-2-2-2-2220000200000000
χ3422-22222-2-2-2-2000020000000022-22222-2-2-2-20000200000000-2-22-2-2-2-222220000-200000000
χ352-2022-2-2002-200000002i−2i00002-2022-2-2002-200000002i−2i0000-220-2-22200-220000000−2i2i0000
χ362-2022-2-2002-20000000−2i2i00002-2022-2-2002-20000000−2i2i0000-220-2-22200-2200000002i−2i0000
χ372-2022-2-200-22000002-20000002-2022-2-200-22000002-2000000-220-2-222002-200000-22000000
χ382-2022-2-200-2200000-220000002-2022-2-200-2200000-22000000-220-2-222002-2000002-2000000
χ394441-21-21-2000202000000-10-14441-21-21-2000202000000-10-1-4-4-4-12-12-12000-20-2000000101
χ404441-21-21-2000-20-20000001014441-21-21-2000-20-2000000101-4-4-4-12-12-12000202000000-10-1
χ41444-21-21-2100202000000-10-10444-21-21-2100202000000-10-10-4-4-42-12-12-100-20-20000001010
χ42444-21-21-2100-20-20000001010444-21-21-2100-20-20000001010-4-4-42-12-12-100202000000-10-10
χ4344-41-21-2-1200020-2000000-10144-41-21-2-1200020-2000000-101-4-44-12-121-2000-20200000010-1
χ4444-41-21-2-12000-20200000010-144-41-21-2-12000-20200000010-1-4-44-12-121-200020-2000000-101
χ4544-4-21-212-10020-2000000-101044-4-21-212-10020-2000000-1010-4-442-12-1-2100-20200000010-10
χ4644-4-21-212-100-20200000010-1044-4-21-212-100-20200000010-10-4-442-12-1-210020-2000000-1010
χ478-802-4-24000000000000000008-802-4-2400000000000000000-880-242-400000000000000000
χ488-80-424-2000000000000000008-80-424-200000000000000000-8804-2-4200000000000000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ50222222222222-22-22-2-2-2-22-22-2-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-11-11000000000000000000000000
χ5122222222222-22-222-2-2-2-2-22-22-1-1-1-1-1-1-1-1-1-1-11-11-1-111111-11-1000000000000000000000000
χ5222222222222-2-2-2-222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111000000000000000000000000
χ5322-22222-2-22222-2-2-222-2-222-2-2-1-11-1-1-1-111-1-1-1-1111-1-111-1-111000000000000000000000000
χ5422-22222-2-2222-2-22-2-2-2222-2-22-1-11-1-1-1-111-1-1-111-1111-1-1-111-1000000000000000000000000
χ5522-22222-2-222-222-2-2-2-222-222-2-1-11-1-1-1-111-1-11-1-11111-1-11-1-11000000000000000000000000
χ5622-22222-2-222-2-222-222-2-2-2-222-1-11-1-1-1-111-1-111-1-11-1-11111-1-1000000000000000000000000
χ57444444444-4-40000-400000000-2-2-2-2-2-2-2-2-2220000200000000000000000000000000000000
χ5844-44444-4-4-4-40000400000000-2-22-2-2-2-222220000-200000000000000000000000000000000
χ594-4044-4-4004-400000004i−4i0000-220-2-22200-220000000−2i2i0000000000000000000000000000
χ604-4044-4-4004-40000000−4i4i0000-220-2-22200-2200000002i−2i0000000000000000000000000000
χ614-4044-4-400-44000004-4000000-220-2-222002-200000-22000000000000000000000000000000
χ624-4044-4-400-4400000-44000000-220-2-222002-2000002-2000000000000000000000000000000
χ638882-42-42-4000404000000-20-2-4-4-4-12-12-12000-20-2000000101000000000000000000000000
χ648882-42-42-4000-40-4000000202-4-4-4-12-12-12000202000000-10-1000000000000000000000000
χ65888-42-42-4200404000000-20-20-4-4-42-12-12-100-20-20000001010000000000000000000000000
χ66888-42-42-4200-40-40000002020-4-4-42-12-12-100202000000-10-10000000000000000000000000
χ6788-82-42-4-2400040-4000000-202-4-44-12-121-2000-20200000010-1000000000000000000000000
χ6888-82-42-4-24000-40400000020-2-4-44-12-121-200020-2000000-101000000000000000000000000
χ6988-8-42-424-20040-4000000-2020-4-442-12-1-2100-20200000010-10000000000000000000000000
χ7088-8-42-424-200-40400000020-20-4-442-12-1-210020-2000000-1010000000000000000000000000
χ7116-1604-8-4800000000000000000-880-242-400000000000000000000000000000000000000000
χ7216-160-848-400000000000000000-8804-2-4200000000000000000000000000000000000000000

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