Finite Group Databasebeta

← Group #13181153

Character table — Group #13181153

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222444444488888888889916161616161618181818181818181818181818181836363636363636363636363636363636363636363636727272727272
order122234633666612336666661212226666121222224444466121212122224444446666121212121212121212666121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-111-1-1-1-111-11-1-1-1-1-111111-1-1-1-1-1-1-1-1-1111-1-1
χ31111111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-11-111-1-1-111-1-1111-1-1-1-1-1-11-1-1-111
χ41111111111111111111111111111111111-1-11-1-111111111-1-1-1-1-1-111111-1-11-1-1111111-1-1-1-1-1-1
χ5111-11-11111-111-1111-11-111-1-11111-1-1-1-11-111-111111111111-1-1-11-1-11-11-111-111-1-111-1-1-11-1-11-1
χ6111-11-11111-111-1111-11-111-1-11111-1-1-1-11-111-1-1-1-1-111-1-1-1-11-11-1-111-111-111-1-1-111-1-11111-1-1-11
χ7111-11-11111-111-1111-11-111-1-11111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-11-111-11-111-1-1-1-11111-1-111-1-1111-1
χ8111-11-11111-111-1111-11-111-1-11111-1-1-1-11-1-1-1-1-1-111111111-1111-11-11-11-1-1-1-1-1-1-1-111-1-11-111-11
χ911-111-1111-1111-111-11-1111-1-111-1-111-1-1-1111-11111111111-11-1-1-11-1-11-1111-111-1-1-1-111-1-11-1-11
χ1011-111-1111-1111-111-11-1111-1-111-1-111-1-1-1111-1-1-1-1-111-1-1-1-1-111-11-111-1-1111-1-1-11111-1-11-11-11-1
χ1111-111-1111-1111-111-11-1111-1-111-1-111-1-1-11-1-1-111-1-111-1-1-1-11-1-11-1111-1-11-1-1-1111111-1-1-11-11-11
χ1211-111-1111-1111-111-11-1111-1-111-1-111-1-1-11-1-1-1-1-1111111111-1111-1-1-11-11-1-1-1-1-1-1-1-1-11111-111-1
χ1311-1-111111-1-111111-1-1-1-1111111-1-1-1-111-1-11111111111111-1-111-1-11-1-1-1-11111111-1-1-1-11-1-11-1-1
χ1411-1-111111-1-111111-1-1-1-1111111-1-1-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1111-111-1-1111-1-1-1-11111-1-1-1111
χ1511-1-111111-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-111-1-1-1-1111-1-1-1-111-1-1-1-1111-1-11111111-1-1-1
χ1611-1-111111-1-111111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-11111111111-1-1111-1-1-1-1-1-11-1-111-1-1-1-1-111-111
χ17222222222222222222222222-2-2222222-2-200-20000-2-20000000000000-2-200-200000000000000
χ182222-12-122-1-122-1-1-12222-1-12222-1-1-1-1-1-1220020022-1-1-1-1-1-1000000222-1-100-100-1-1-1-1-1-1000000
χ192222-12-122-1-122-1-1-12222-1-12222-1-1-1-1-1-12200200-2-2-1-11111000000-2-2-2-1-100-100111111000000
χ202222-12-122-1-122-1-1-12222-1-122-2-2-1-1-1-1-1-1-2-200-200001133−3−300000000011001003−33−33−3000000
χ212222-12-122-1-122-1-1-12222-1-122-2-2-1-1-1-1-1-1-2-200-2000011−3−3330000000001100100−33−33−33000000
χ22222-22-22222-222-2222-22-222-2-2-2-222-2-2-2-2-220020000-2-20000000000000-2200200000000000000
χ23222-2-1-2-122-11221-1-12-22-2-1-1-2-222-1-111112-200-20022-1-1-1-1-1-1000000-22-2-110010011-1-111000000
χ24222-2-1-2-122-11221-1-12-22-2-1-1-2-222-1-111112-200-200-2-2-1-111110000002-22-1100100-1-111-1-1000000
χ25222-2-1-2-122-11221-1-12-22-2-1-1-2-2-2-2-1-11111-2200200001133−3−30000000001-100-100−333−3−33000000
χ26222-2-1-2-122-11221-1-12-22-2-1-1-2-2-2-2-1-11111-22002000011−3−3330000000001-100-1003−3−333−3000000
χ2722-222-2222-2222-222-22-2222-2-2-2-2-2-222-2-22-20020000-2-200000000000002-200200000000000000
χ2822-22-1-2-1221-1221-1-1-22-22-1-1-2-22211-1-111-2200-20022-1-1-1-1-1-1000000-2-221-1001001111-1-1000000
χ2922-22-1-2-1221-1221-1-1-22-22-1-1-2-22211-1-111-2200-200-2-2-1-1111100000022-21-100100-1-1-1-111000000
χ3022-22-1-2-1221-1221-1-1-22-22-1-1-2-2-2-211-1-1112-200200001133−3−3000000000-1100-100−33−333−3000000
χ3122-22-1-2-1221-1221-1-1-22-22-1-1-2-2-2-211-1-1112-2002000011−3−333000000000-1100-1003−33−3−33000000
χ3222-2-222222-2-222222-2-2-2-22222-2-2-2-2-2-2222200-20000-2-200000000000002200-200000000000000
χ3322-2-2-12-1221122-1-1-1-2-2-2-2-1-122221111-1-1-2-20020022-1-1-1-1-1-10000002-2-21100-100-1-11111000000
χ3422-2-2-12-1221122-1-1-1-2-2-2-2-1-122221111-1-1-2-200200-2-2-1-11111000000-2221100-10011-1-1-1-1000000
χ3522-2-2-12-1221122-1-1-1-2-2-2-2-1-122-2-21111-1-12200-200001133−3−3000000000-1-1001003−3−33−33000000
χ3622-2-2-12-1221122-1-1-1-2-2-2-2-1-122-2-21111-1-12200-2000011−3−333000000000-1-100100−333−33−3000000
χ372-20020-22200-2-20220000-2-2002-2000000002-202i−2i2i−2i2-22i−2i2i−2i000000000002-202i−2i000000000000
χ382-20020-22200-2-20220000-2-2002-2000000002-20−2i2i−2i2i2-2−2i2i−2i2i000000000002-20−2i2i000000000000
χ392-20020-22200-2-20220000-2-2002-200000000-2202i−2i−2i2i2-2−2i2i−2i2i00000000000-2202i−2i000000000000
χ402-20020-22200-2-20220000-2-2002-200000000-220−2i2i2i−2i2-22i−2i2i−2i00000000000-220−2i2i000000000000
χ4144444441-244-2141-211-2-21-2-21001-21-21-200000220000000000202200000000-1-1000000-1000-1-1
χ4244444441-244-2141-211-2-21-2-21001-21-21-200000-2-20000000000-20-2-20000000011000000100011
χ434444444-21441-24-21-2-211-211-200-21-21-2100220000000000022020000000-1-10000000000-1-1-100
χ444444444-21441-24-21-2-211-211-200-21-21-2100-2-200000000000-2-20-2000000011000000000011100
χ45444-44-441-24-4-21-41-21-1-221-22-1001-2-12-1200000220000000000-202-200000000-1-10000001000-11
χ46444-44-441-24-4-21-41-21-1-221-22-1001-2-12-1200000-2-2000000000020-220000000011000000-10001-1
χ47444-44-44-214-41-2-4-21-221-1-21-1200-212-12-10022000000000002-20-20000000-1-10000000000-11100
χ48444-44-44-214-41-2-4-21-221-1-21-1200-212-12-100-2-200000000000-220200000001100000000001-1-100
χ4944-444-441-2-44-21-41-2-112-21-22-100-121-2-1200000220000000000-20-2200000000-1-100000010001-1
χ5044-444-441-2-44-21-41-2-112-21-22-100-121-2-1200000-2-20000000000202-20000000011000000-1000-11
χ5144-444-44-21-441-2-4-212-2-11-21-12002-1-212-1002200000000000-220-20000000-1-100000000001-1100
χ5244-444-44-21-441-2-4-212-2-11-21-12002-1-212-100-2-2000000000002-2020000000110000000000-11-100
χ5344-4-44441-2-4-4-2141-2-1-1221-2-2100-12-121-20000022000000000020-2-200000000-1-1000000-100011
χ5444-4-44441-2-4-4-2141-2-1-1221-2-2100-12-121-200000-2-20000000000-202200000000110000001000-1-1
χ5544-4-4444-21-4-41-24-2122-1-1-211-2002-12-1-21002200000000000-2-2020000000-1-1000000000011-100
χ5644-4-4444-21-4-41-24-2122-1-1-211-2002-12-1-2100-2-200000000000220-20000000110000000000-1-1100
χ574-40040-44400-4-40440000-4-400-44000000000000000-4400000000000000000000000000000000
χ584-400-2024400-4-40-2-2000022004-400000000000004i−4i-22−2i2i−2i2i0000000000000000000000000000
χ594-400-2024400-4-40-2-2000022004-40000000000000−4i4i-222i−2i2i−2i0000000000000000000000000000
χ604-400-2024400-4-40-2-200002200-440000000000000002-2−2i32i32i3−2i30000000000000000000000000000
χ614-400-2024400-4-40-2-200002200-440000000000000002-22i3−2i3−2i32i30000000000000000000000000000
χ628888-48-42-4-4-4-42-4-1222-4-4-12-4200-12-12-120000000000000000000000000000000000000000000
χ638888-48-4-42-4-42-4-42-1-4-4222-12-4002-12-12-10000000000000000000000000000000000000000000
χ64888-8-4-8-42-4-44-424-122-2-44-124-200-121-21-20000000000000000000000000000000000000000000
χ65888-8-4-8-4-42-442-442-1-442-22-1-24002-1-21-210000000000000000000000000000000000000000000
χ6688-88-4-8-42-44-4-424-12-224-4-124-2001-2-121-20000000000000000000000000000000000000000000
χ6788-88-4-8-4-424-42-442-14-4-222-1-2400-212-1-210000000000000000000000000000000000000000000
χ6888-8-8-48-42-444-42-4-12-2-244-12-42001-21-2-120000000000000000000000000000000000000000000
χ6988-8-8-48-4-42442-4-42-144-2-22-12-400-21-212-10000000000000000000000000000000000000000000
χ708-80080-82-4004-202-40000-240000000000000004i−4i0000000000000000000000−2i2i000000000000
χ718-80080-82-4004-202-40000-24000000000000000−4i4i00000000000000000000002i−2i000000000000
χ728-80080-8-4200-240-4200004-20000000000004-40000000000000000000000-22000000000000000
χ738-80080-8-4200-240-4200004-2000000000000-4400000000000000000000002-2000000000000000
χ7416-1600-8084-8008-40-2400002-400000000000000000000000000000000000000000000000000000
χ7516-1600-808-8400-4804-20000-4200000000000000000000000000000000000000000000000000000

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