Finite Group Databasebeta

← Group #11714890

Character table — Group #11714890

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11222334466666668812121212121212121616162424242432321122233446666666881212121212121212161616242424243232
order1248822224444488362224888812242444446622488222244444886622248888122424444466
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-111
χ31111111-1-1111111111-1-1111111111-1-1-1-1-1-11111111-1-1111111111-1-1111111111-1-1-1-1-1-1
χ41111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1
χ5111-1-1111-111111-1-1111-111-1-1-1-11-1-11-11-11-1111-1-1111-111111-1-1111-111-1-1-1-11-1-11-11-11-1
χ6111-1-1111-1-1-1-1-11-1-1111-1-1-111111-1-1-11-111-1111-1-1111-1-1-1-1-11-1-1111-1-1-111111-1-1-11-111-1
χ7111-1-111-1111111-1-111-1111-1-1-1-11-1-1-11-11-11111-1-111-1111111-1-111-1111-1-1-1-11-1-1-11-11-11
χ8111-1-111-11-1-1-1-11-1-111-11-1-111111-1-11-11-1-11111-1-111-11-1-1-1-11-1-111-11-1-111111-1-11-11-1-11
χ92222222220000222-1-122000000-1-1-10000-1-12222222220000222-1-122000000-1-1-10000-1-1
χ102222222-2-20000222-1-1-2-2000000-1-1-10000112222222-2-20000222-1-1-2-2000000-1-1-1000011
χ11222-2-2222-200002-2-2-1-12-2000000-1110000-11222-2-2222-200002-2-2-1-12-2000000-1110000-11
χ12222-2-222-2200002-2-2-1-1-22000000-11100001-1222-2-222-2200002-2-2-1-1-22000000-11100001-1
χ1322-20022002222-2002200-2-20000-20000000022-20022002222-2002200-2-20000-200000000
χ1422-2002200-2-2-2-2-2002200220000-20000000022-2002200-2-2-2-2-2002200220000-200000000
χ152-202−22-2002i−2i2i−2i02−22-20000i2−i2i2−i202−20000002-202−22-2002i−2i2i−2i02−22-20000i2−i2i2−i202−2000000
χ162-202−22-200−2i2i−2i2i02−22-20000−i2i2−i2i202−20000002-202−22-200−2i2i−2i2i02−22-20000−i2i2−i2i202−2000000
χ172-20−222-2002i−2i2i−2i0−222-20000−i2i2−i2i20−220000002-20−222-2002i−2i2i−2i0−222-20000−i2i2−i2i20−22000000
χ182-20−222-200−2i2i−2i2i0−222-20000i2−i2i2−i20−220000002-20−222-200−2i2i−2i2i0−222-20000i2−i2i2−i20−22000000
χ1933333-1-13311-1-1-1-1-100-1-11-111-1-100011-1-10033333-1-13311-1-1-1-1-100-1-11-111-1-100011-1-100
χ2033333-1-133-1-111-1-1-100-1-1-11-1-111000-1-1110033333-1-133-1-111-1-1-100-1-1-11-1-111000-1-11100
χ2133333-1-1-3-311-1-1-1-1-100111-111-1-1000-1-1110033333-1-1-3-311-1-1-1-1-100111-111-1-1000-1-11100
χ2233333-1-1-3-3-1-111-1-1-10011-11-1-11100011-1-10033333-1-1-3-3-1-111-1-1-10011-11-1-11100011-1-100
χ23333-3-3-1-13-311-1-1-11100-111-1-1-1110001-1-1100333-3-3-1-13-311-1-1-11100-111-1-1-1110001-1-1100
χ24333-3-3-1-13-3-1-111-11100-11-1111-1-1000-111-100333-3-3-1-13-3-1-111-11100-11-1111-1-1000-111-100
χ25333-3-3-1-1-3311-1-1-111001-11-1-1-111000-111-100333-3-3-1-1-3311-1-1-111001-11-1-1-111000-111-100
χ26333-3-3-1-1-33-1-111-111001-1-1111-1-10001-1-1100333-3-3-1-1-33-1-111-111001-1-1111-1-10001-1-1100
χ2744-40044000000-400-2-20000000020000000044-40044000000-400-2-200000000200000000
χ284-4022−224-4000000022−22-22000000000−220000004-4022−224-4000000022−22-22000000000−22000000
χ294-40−22224-40000000−2222-220000000002−20000004-40−22224-40000000−2222-220000000002−2000000
χ3066-600-2-20022-2-22000000-22000000000000066-600-2-20022-2-22000000-220000000000000
χ3166-600-2-200-2-22220000002-2000000000000066-600-2-200-2-22220000002-20000000000000
χ326-6032−32-22002i−2i−2i2i0−22000000i2−i2−i2i20000000006-6032−32-22002i−2i−2i2i0−22000000i2−i2−i2i2000000000
χ336-6032−32-2200−2i2i2i−2i0−22000000−i2i2i2−i20000000006-6032−32-2200−2i2i2i−2i0−22000000−i2i2i2−i2000000000
χ346-60−3232-22002i−2i−2i2i02−2000000−i2i2i2−i20000000006-60−3232-22002i−2i−2i2i02−2000000−i2i2i2−i2000000000
χ356-60−3232-2200−2i2i2i−2i02−2000000i2−i2−i2i20000000006-60−3232-2200−2i2i2i−2i02−2000000i2−i2−i2i2000000000
χ3611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ37111111111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-11111-1-1
χ381111111-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ391111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-111
χ40111-1-1111-111111-1-1111-111-1-1-1-11-1-11-11-11-1-1-1-111-1-1-11-1-1-1-1-111-1-1-11-1-11111-111-11-11-11
χ41111-1-1111-1-1-1-1-11-1-1111-1-1-111111-1-1-11-111-1-1-1-111-1-1-111111-111-1-1-1111-1-1-1-1-1111-11-1-11
χ42111-1-111-1111111-1-111-1111-1-1-1-11-1-1-11-11-11-1-1-111-1-11-1-1-1-1-1-111-1-11-1-1-11111-1111-11-11-1
χ43111-1-111-11-1-1-1-11-1-111-11-1-111111-1-11-11-1-11-1-1-111-1-11-11111-111-1-11-111-1-1-1-1-111-11-111-1
χ442222222220000222-1-122000000-1-1-10000-1-1-2-2-2-2-2-2-2-2-20000-2-2-211-2-2000000111000011
χ452222222-2-20000222-1-1-2-2000000-1-1-1000011-2-2-2-2-2-2-2220000-2-2-211220000001110000-1-1
χ46222-2-2222-200002-2-2-1-12-2000000-1110000-11-2-2-222-2-2-220000-22211-220000001-1-100001-1
χ47222-2-222-2200002-2-2-1-1-22000000-11100001-1-2-2-222-2-22-20000-222112-20000001-1-10000-11
χ4822-20022002222-2002200-2-20000-200000000-2-2200-2-200-2-2-2-2200-2-200220000200000000
χ4922-2002200-2-2-2-2-2002200220000-200000000-2-2200-2-2002222200-2-200-2-20000200000000
χ502-202−22-2002i−2i2i−2i02−22-20000i2−i2i2−i202−2000000-220−22-2200−2i2i−2i2i0−22-220000−i2i2−i2i20−22000000
χ512-202−22-200−2i2i−2i2i02−22-20000−i2i2−i2i202−2000000-220−22-22002i−2i2i−2i0−22-220000i2−i2i2−i20−22000000
χ522-20−222-2002i−2i2i−2i0−222-20000−i2i2−i2i20−22000000-2202−2-2200−2i2i−2i2i02−2-220000i2−i2i2−i202−2000000
χ532-20−222-200−2i2i−2i2i0−222-20000i2−i2i2−i20−22000000-2202−2-22002i−2i2i−2i02−2-220000−i2i2−i2i202−2000000
χ5433333-1-13311-1-1-1-1-100-1-11-111-1-100011-1-100-3-3-3-3-311-3-3-1-1111110011-11-1-111000-1-11100
χ5533333-1-133-1-111-1-1-100-1-1-11-1-111000-1-11100-3-3-3-3-311-3-311-1-111100111-111-1-100011-1-100
χ5633333-1-1-3-311-1-1-1-1-100111-111-1-1000-1-11100-3-3-3-3-31133-1-11111100-1-1-11-1-11100011-1-100
χ5733333-1-1-3-3-1-111-1-1-10011-11-1-11100011-1-100-3-3-3-3-3113311-1-111100-1-11-111-1-1000-1-11100
χ58333-3-3-1-13-311-1-1-11100-111-1-1-1110001-1-1100-3-3-33311-33-1-1111-1-1001-1-1111-1-1000-111-100
χ59333-3-3-1-13-3-1-111-11100-11-1111-1-1000-111-100-3-3-33311-3311-1-11-1-1001-11-1-1-1110001-1-1100
χ60333-3-3-1-1-3311-1-1-111001-11-1-1-111000-111-100-3-3-333113-3-1-1111-1-100-11-1111-1-10001-1-1100
χ61333-3-3-1-1-33-1-111-111001-1-1111-1-10001-1-1100-3-3-333113-311-1-11-1-100-111-1-1-111000-111-100
χ6244-40044000000-400-2-200000000200000000-4-4400-4-40000004002200000000-200000000
χ634-4022−224-4000000022−22-22000000000−22000000-440−2222-440000000−22222-20000000002−2000000
χ644-40−22224-40000000−2222-220000000002−2000000-44022−22-44000000022−222-2000000000−22000000
χ6566-600-2-20022-2-22000000-220000000000000-6-66002200-2-222-20000002-20000000000000
χ6666-600-2-200-2-22220000002-20000000000000-6-6600220022-2-2-2000000-220000000000000
χ676-6032−32-22002i−2i−2i2i0−22000000i2−i2−i2i2000000000-660−32322-200−2i2i2i−2i02−2000000−i2i2i2−i2000000000
χ686-6032−32-2200−2i2i2i−2i0−22000000−i2i2i2−i2000000000-660−32322-2002i−2i−2i2i02−2000000i2−i2−i2i2000000000
χ696-60−3232-22002i−2i−2i2i02−2000000−i2i2i2−i2000000000-66032−322-200−2i2i2i−2i0−22000000i2−i2−i2i2000000000
χ706-60−3232-2200−2i2i2i−2i02−2000000i2−i2−i2i2000000000-66032−322-2002i−2i−2i2i0−22000000−i2i2i2−i2000000000

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