Finite Group Databasebeta

← Group #13149917

Character table — Group #13149917

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1122222444446666889999991212121212121212181818181818181818181818181818242424242424243636363636363636363636363636364848727272727272
order12346882212242433666622444436121224242424224668888881212121266661224242244446612242424242424666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1
χ3111111111111111111-1-111-1-1111111111-1-1-1-1-1-111-1-111-1-11111111-1-111-1-11-1-1-1-111-1-111-1-111-1-1
χ4111111111111111111-1-1-1-11111111111-11-1-1-1-1-1-1-111-1-1111111111-1-1-1-111-11-1-1-1-1-11111-1-1-1-111
χ51111111-1-11111111-1-111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ61111111-1-11111111-1-111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1-1-11111
χ71111111-1-11111111-1-1-1-111-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1-1-111-1-111
χ81111111-1-11111111-1-1-1-1-1-11111111111-11-1-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-11-1-1-1-1-111-1-11111-1-1
χ911111-1-11-11-1-111111-11111111111-1-1-1-111111-1-1-1-1-1-1111111-1-11-1-11-11-11-1111-1-1-1-1-1-11-11-11-11-1
χ1011111-1-11-11-1-111111-111-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11-1-11-1-11-11-1-11-1-111111-11-1-11-11
χ1111111-1-11-11-1-111111-1-1-111-1-11111-1-1-1-11-1-1-1-111-1-11111-1-111-1-11-1-1-111-1-111-1-111-1-1111-1-111-1-11
χ1211111-1-11-11-1-111111-1-1-1-1-1111111-1-1-1-1-11-1-1-11111-1-1-1-11111-1-11-1-1-11-111-1-11-11111-1-11-1-11-111-1
χ1311111-1-1-111-1-11111-111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1111-1-1-11-11-11111-1-1-1-1-1-1-11-11-11-11
χ1411111-1-1-111-1-11111-1111-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-1-111-11-1-1-11-1-11111-11-111-11-1
χ1511111-1-1-111-1-11111-11-1-111-1-11111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1111-1-11-1-111-11-1-111-1-111-111-1-111-1
χ1611111-1-1-111-1-11111-11-1-1-1-1111111-1-1-1-1-11-1-1-11111-1-1-1-111-1-1111-1-11-11-1-11-11-11111-1-1-111-11-1-11
χ172222222222222-12-122000022-1-12-122-1-10200000002200-1-12-12-1-1-1-10000220-100000-1-1-1-10000-1-1
χ182222222222222-12-1220000-2-2-1-12-122-1-10-20000000-2-200112-12-1-1-1-10000-2-2010000011-1-1000011
χ19222222222222-12-1222002200-1-1-12-1-12220000002200-1-100-12-12-1-1-1002200-10000-1-100-1-100-1-100
χ20222222222222-12-122200-2-200-1-1-12-1-122-2000000-2-2001100-12-12-1-1-100-2-200100001100-1-1001100
χ212222222-2-22222-12-1-2-2000022-1-12-122-1-10200000002200-1-1-21-21-1-1-10000-2-20-100000-1-111000011
χ222222222-2-22222-12-1-2-20000-2-2-1-12-122-1-10-20000000-2-20011-21-21-1-1-1000022010000011110000-1-1
χ232222222-2-2222-12-12-2-2002200-1-1-12-1-12220000002200-1-1001-21-2-1-1-100-2-200-10000-1-10011001100
χ242222222-2-2222-12-12-2-200-2-200-1-1-12-1-122-2000000-2-20011001-21-2-1-1-10022001000011001100-1-100
χ2522222-2-22-22-2-22-12-12-2000022-1-12-1-2-211020000000-2-200-1-12-1-21-11100002-20-10000011-110000-11
χ2622222-2-22-22-2-22-12-12-20000-2-2-1-12-1-2-2110-200000002200112-1-21-1110000-220100000-1-1-1100001-1
χ2722222-2-22-22-2-2-12-122-2002200-1-1-1211-2-22000000-2-200-1-100-121-2-111002-200-100001100-1100-1100
χ2822222-2-22-22-2-2-12-122-200-2-200-1-1-1211-2-2-200000022001100-121-2-11100-220010000-1-100-11001-100
χ2922222-2-2-222-2-22-12-1-22000022-1-12-1-2-211020000000-2-200-1-1-212-1-1110000-220-100000111-100001-1
χ3022222-2-2-222-2-22-12-1-220000-2-2-1-12-1-2-2110-20000000220011-212-1-11100002-20100000-1-11-10000-11
χ3122222-2-2-222-2-2-12-12-22002200-1-1-1211-2-22000000-2-200-1-1001-2-12-11100-2200-1000011001-1001-100
χ3222222-2-2-222-2-2-12-12-2200-2-200-1-1-1211-2-2-2000000220011001-2-12-111002-20010000-1-1001-100-1100
χ33222-220000-20022220022222222-2-20000-2-2-22200000022220000-200000000-2-2-200000000000000
χ34222-220000-20022220022-2-2-2-222-2-2000022-222000000-2-2-2-20000-20000000022-200000000000000
χ35222-220000-200222200-2-222-2-222-2-20000-222-2-200000022-2-20000-200000000-22200000000000000
χ36222-220000-200222200-2-2-2-22222-2-200002-22-2-2000000-2-2220000-2000000002-2200000000000000
χ372-220-22−20002−222-2-2002-22i−2i2i−2i2-2002−22−20002-22−2i2−i2i2−i22i−2i2i−2i000002−20000000002−2i2−i2i2−i200000000
χ382-220-22−20002−222-2-2002-2−2i2i−2i2i2-2002−22−20002-22−2−i2i2−i2i2−2i2i−2i2i000002−20000000002−2−i2i2−i2i200000000
χ392-220-22−20002−222-2-200-222i−2i−2i2i2-2002−22−2000-22−22i2−i2−i2i22i−2i−2i2i000002−2000000000−22i2−i2−i2i200000000
χ402-220-22−20002−222-2-200-22−2i2i2i−2i2-2002−22−2000-22−22−i2i2i2−i2−2i2i2i−2i000002−2000000000−22−i2i2i2−i200000000
χ412-220-2−22000−2222-2-2002-22i−2i2i−2i2-200−22−220002-2−22−i2i2−i2i22i−2i2i−2i00000−22000000000−22−i2i2−i2i200000000
χ422-220-2−22000−2222-2-2002-2−2i2i−2i2i2-200−22−220002-2−22i2−i2i2−i2−2i2i−2i2i00000−22000000000−22i2−i2i2−i200000000
χ432-220-2−22000−2222-2-200-222i−2i−2i2i2-200−22−22000-222−2−i2i2i2−i22i−2i−2i2i00000−220000000002−2−i2i2i2−i200000000
χ442-220-2−22000−2222-2-200-22−2i2i2i−2i2-200−22−22000-222−2i2−i2−i2i2−2i2i2i−2i00000−220000000002−2i2−i2−i2i200000000
χ45444444444444-2-2-2-24400000011-2-2-2-2-2-2000000000000000-2-2-2-211100000000000000011000000
χ464444444-4-4444-2-2-2-2-4-400000011-2-2-2-2-2-20000000000000002222111000000000000000-1-1000000
χ4744444-4-44-44-4-4-2-2-2-24-400000011-2-22222000000000000000-2-2221-1-10000000000000001-1000000
χ4844444-4-4-444-4-4-2-2-2-2-4400000011-2-2222200000000000000022-2-21-1-1000000000000000-11000000
χ49444-440000-4004-24-200000044-2-2-4200000-400000000000-2-2000020000000002000000000000000
χ50444-440000-4004-24-2000000-4-4-2-2-42000004000000000002200002000000000-2000000000000000
χ51444-440000-400-24-2400004400-2-22-40000-40000000000-2-200000020000000020000000000000000
χ52444-440000-400-24-240000-4-400-2-22-400004000000000022000000200000000-20000000000000000
χ534-440-422−2200022−224-2-420000004i−4i-220022−22−220000000002i2−2i200−2i2i00000−220000000000000−i2i200000000
χ544-440-422−2200022−224-2-42000000−4i4i-220022−22−22000000000−2i22i2002i−2i00000−220000000000000i2−i200000000
χ554-440-422−2200022−22-242-400004i−4i00-2200−2222−2200000002i2−2i200−2i2i0000000−2200000000000−i2i20000000000
χ564-440-422−2200022−22-242-40000−4i4i00-2200−2222−220000000−2i22i2002i−2i0000000−2200000000000i2−i20000000000
χ574-440-4−2222000−22224-2-420000004i−4i-2200−22222−2000000000−2i22i200−2i2i000002−20000000000000i2−i200000000
χ584-440-4−2222000−22224-2-42000000−4i4i-2200−22222−20000000002i2−2i2002i−2i000002−20000000000000−i2i200000000
χ594-440-4−2222000−2222-242-400004i−4i00-22002−2−22220000000−2i22i200−2i2i00000002−200000000000i2−i20000000000
χ604-440-4−2222000−2222-242-40000−4i4i00-22002−2−222200000002i2−2i2002i−2i00000002−200000000000−i2i20000000000
χ6166-36-36666-3-3-30000-3-322000000000000002-1-12200000000000000022000000-1-1-1000000-1-10000
χ6266-36-36666-3-3-30000-3-3-2-200000000000000-211-2-2000000000000000-2-2000000111000000110000
χ6366-36-366-6-6-3-3-300003322000000000000002-1-122000000000000000-2-2000000-1-1-1000000110000
χ6466-36-366-6-6-3-3-3000033-2-200000000000000-211-2-200000000000000022000000111000000-1-10000
χ6566-36-3-6-66-6-3330000-3322000000000000002-1-1-2-20000000000000002-2000000-111000000-110000
χ6666-36-3-6-66-6-3330000-33-2-200000000000000-21122000000000000000-220000001-1-10000001-10000
χ6766-36-3-6-6-66-33300003-322000000000000002-1-1-2-2000000000000000-22000000-1110000001-10000
χ6866-36-3-6-6-66-33300003-3-2-200000000000000-211220000000000000002-20000001-1-1000000-110000
χ69888-880000-800-4-4-4-400000000224400000000000000000000000-20000000000000000000000000
χ708-880-842−4200042−42-4-444000000002-200−2222−2222000000000000000000002−200000000000000000000000
χ718-880-8−4242000−4242-4-444000000002-20022−2222−2200000000000000000000−2200000000000000000000000
χ721212-6-12-600006000000004400000000000000-4-2-20000000000000000000000000200000000000000
χ731212-6-12-60000600000000-4-4000000000000004220000000000000000000000000-200000000000000
χ7412-12-60662−62000−32320000004-4000000000000000-2222−22000000000000000000000000−22000000000000
χ7512-12-60662−62000−3232000000-440000000000000002-2−22220000000000000000000000002−2000000000000
χ7612-12-606−626200032−320000004-4000000000000000-22−22220000000000000000000000002−2000000000000
χ7712-12-606−626200032−32000000-440000000000000002-222−22000000000000000000000000−22000000000000

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