Finite Group Databasebeta

← Group #13149968

Character table — Group #13149968

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size1122222444446666889999991212121212121212181818181818181818181818181818242424242424243636363636363636363636363636364848727272727272
order12346882412242433666122244443612122424242422466888888121212126612121224242224446612242424242424612666121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11-1-111-1-111-11-1-11-1
χ3111111111111111111-1-111-1-1111111111-1-1-1-1-1-111-1-111-1-11111111-11-1-11-11-1-111-1-1-1-1111-1-11-1-1
χ4111111111111111111-1-1-1-11111111111-11-1-1-1-1-1-1-111-1-1111111111-1-11-1-11-11-1-1-1-1-11111-1-11-1-11
χ51111111-1-11111111-1-111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ61111111-1-11111111-1-111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-111-111-1-11-1-111-1-1-1-11-111-11
χ71111111-1-11111111-1-1-1-111-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-111-111-1-111-1-1-1-1-1-1-111-111
χ81111111-1-11111111-1-1-1-1-1-11111111111-11-1-1-1-1-1-1-111-1-111-1-1-1-111111-111-1-11-1-1-1-1-111-1-111-111-1
χ911111-1-11-11-1-111111-11111111111-1-1-1-111111-1-1-1-1-1-1111111-1-11-1-11-1-1-111111-1-1-1-1-1-11-1-11-11-11
χ1011111-1-11-11-1-111111-111-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1-1111-1-1111-1111-1-1-1
χ1111111-1-11-11-1-111111-1-1-111-1-11111-1-1-1-11-1-1-1-111-1-11111-1-111-1-11-1-1-1-1111-11-1-1-1-111111-1-1-1111-1
χ1211111-1-11-11-1-111111-1-1-1-1-1111111-1-1-1-1-11-1-1-11111-1-1-1-11111-1-11-1-1-11-11-11-11-11111-1-11-11-1-1-111
χ1311111-1-1-111-1-11111-111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1111-1-1-1111-1-1111-1-1-1-1-1-1-111-11-11-1
χ1411111-1-1-111-1-11111-1111-1-1-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-1-1-1-1111-1-1111-1-111-11-1-1-1111
χ1511111-1-1-111-1-11111-11-1-111-1-11111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1111-1-111-1-1-111-1-1-1-11111-1111-1-1-11
χ1611111-1-1-111-1-11111-11-1-1-1-1111111-1-1-1-1-11-1-1-11111-1-1-1-111-1-1111-1-11-11-11-1-11-11111-1-1-11-1111-1-1
χ172222222222222-12-122000022-1-12-122-1-10200000002200-1-12-12-1-1-1-10020020-100000-1-1-1-100-100-1
χ182222222222222-12-1220000-2-2-1-12-122-1-10-20000000-2-200112-12-1-1-1-100-200-2010000011-1-1001001
χ19222222222222-12-1222220000-1-1-12-1-122002-1-12200000000-12-12-1-1-120020000-100-1-100-1-10-100-10
χ20222222222222-12-1222-2-20000-1-1-12-1-12200-211-2-200000000-12-12-1-1-1-200-200001001100-1-1010010
χ212222222-2-22222-12-1-2-2000022-1-12-122-1-10200000002200-1-1-21-21-1-1-100-200-20-100000-1-111001001
χ222222222-2-22222-12-1-2-20000-2-2-1-12-122-1-10-20000000-2-20011-21-21-1-1-10020020100000111100-100-1
χ232222222-2-2222-12-12-2-2220000-1-1-12-1-122002-1-122000000001-21-2-1-1-1-200-20000-100-1-10011010010
χ242222222-2-2222-12-12-2-2-2-20000-1-1-12-1-12200-211-2-2000000001-21-2-1-1-1200200001001100110-100-10
χ2522222-2-22-22-2-22-12-12-2000022-1-12-1-2-211020000000-2-200-1-12-1-21-11100-20020-10000011-1100100-1
χ2622222-2-22-22-2-22-12-12-20000-2-2-1-12-1-2-2110-200000002200112-1-21-11100200-20100000-1-1-1100-1001
χ2722222-2-22-22-2-2-12-122-2220000-1-1-1211-2-2002-1-1-2-200000000-121-2-111200-20000-1001100-110-10010
χ2822222-2-22-22-2-2-12-122-2-2-20000-1-1-1211-2-200-2112200000000-121-2-111-20020000100-1-100-110100-10
χ2922222-2-2-222-2-22-12-1-22000022-1-12-1-2-211020000000-2-200-1-1-212-1-11100200-20-100000111-100-1001
χ3022222-2-2-222-2-22-12-1-220000-2-2-1-12-1-2-2110-20000000220011-212-1-11100-20020100000-1-11-100100-1
χ3122222-2-2-222-2-2-12-12-22220000-1-1-1211-2-2002-1-1-2-2000000001-2-12-111-20020000-10011001-10100-10
χ3222222-2-2-222-2-2-12-12-22-2-20000-1-1-1211-2-200-21122000000001-2-12-111200-20000100-1-1001-10-10010
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
χ372-220-2i2−i2000i2−i222-2-2002-22i−2i2i−2i2-200i2−i2i2−i20002-2i2−i22−22−22i−2i2i−2i00000i2−i20000000002−2i2−i22−200000000
χ382-220-2i2−i2000i2−i222-2-2002-2−2i2i−2i2i2-200i2−i2i2−i20002-2i2−i2−22−22−2i2i−2i2i00000i2−i2000000000−22i2−i2−2200000000
χ392-220-2i2−i2000i2−i222-2-200-222i−2i−2i2i2-200i2−i2i2−i2000-22−i2i22−2−222i−2i−2i2i00000i2−i20000000002−2−i2i2−2200000000
χ402-220-2i2−i2000i2−i222-2-200-22−2i2i2i−2i2-200i2−i2i2−i2000-22−i2i2−222−2−2i2i2i−2i00000i2−i2000000000−22−i2i22−200000000
χ412-220-2−i2i2000−i2i222-2-2002-22i−2i2i−2i2-200−i2i2−i2i20002-2−i2i2−22−222i−2i2i−2i00000−i2i2000000000−22−i2i2−2200000000
χ422-220-2−i2i2000−i2i222-2-2002-2−2i2i−2i2i2-200−i2i2−i2i20002-2−i2i22−22−2−2i2i−2i2i00000−i2i20000000002−2−i2i22−200000000
χ432-220-2−i2i2000−i2i222-2-200-222i−2i−2i2i2-200−i2i2−i2i2000-22i2−i2−222−22i−2i−2i2i00000−i2i2000000000−22i2−i22−200000000
χ442-220-2−i2i2000−i2i222-2-200-22−2i2i2i−2i2-200−i2i2−i2i2000-22i2−i22−2−22−2i2i2i−2i00000−i2i20000000002−2i2−i2−2200000000
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
χ51444-440000-400-24-2400440000-2-22-4000000-4-2-20000000000000020000000000200000000000000
χ52444-440000-400-24-2400-4-40000-2-22-40000004220000000000000020000000000-200000000000000
χ534-440-42i2−2i20002i2−2i24-2-420000004i−4i-22002i2−2i2−i2i200000000022−2200−2i2i00000−i2i20000000000000−2200000000
χ544-440-42i2−2i20002i2−2i24-2-42000000−4i4i-22002i2−2i2−i2i2000000000−2222002i−2i00000−i2i200000000000002−200000000
χ554-440-42i2−2i20002i2−2i2-242-4004-40000-2200−i2i22i2−2i2000-222i2−2i20000000000000−i2i200000000000−i2i20000000000
χ564-440-42i2−2i20002i2−2i2-242-400-440000-2200−i2i22i2−2i20002-2−2i22i20000000000000−i2i200000000000i2−i20000000000
χ574-440-4−2i22i2000−2i22i24-2-420000004i−4i-2200−2i22i2i2−i2000000000−222200−2i2i00000i2−i200000000000002−200000000
χ584-440-4−2i22i2000−2i22i24-2-42000000−4i4i-2200−2i22i2i2−i200000000022−22002i−2i00000i2−i20000000000000−2200000000
χ594-440-4−2i22i2000−2i22i2-242-4004-40000-2200i2−i2−2i22i2000-22−2i22i20000000000000i2−i200000000000i2−i20000000000
χ604-440-4−2i22i2000−2i22i2-242-400-440000-2200i2−i2−2i22i20002-22i2−2i20000000000000i2−i200000000000−i2i20000000000
χ6166-36-36666-3-3-30000-3-30022000000000020000002200-1-1000000000020020-100-1-1000000-100-100
χ6266-36-36666-3-3-30000-3-300-2-20000000000-2000000-2-200110000000000-200-2010011000000100100
χ6366-36-366-6-6-3-3-30000330022000000000020000002200-1-10000000000-200-20-100-1-1000000100100
χ6466-36-366-6-6-3-3-300003300-2-20000000000-2000000-2-2001100000000002002010011000000-100-100
χ6566-36-3-6-66-6-3330000-33002200000000002000000-2-200-1-10000000000-20020-10011000000100-100
χ6666-36-3-6-66-6-3330000-3300-2-20000000000-20000002200110000000000200-20100-1-1000000-100100
χ6766-36-3-6-6-66-33300003-3002200000000002000000-2-200-1-10000000000200-20-10011000000-100100
χ6866-36-3-6-6-66-33300003-300-2-20000000000-20000002200110000000000-20020100-1-1000000100-100
χ69888-880000-800-4-4-4-400000000224400000000000000000000000-20000000000000000000000000
χ708-880-84i2−4i20004i2−4i2-4-444000000002-200−2i22i2−2i22i200000000000000000000i2−i200000000000000000000000
χ718-880-8−4i24i2000−4i24i2-4-444000000002-2002i2−2i22i2−2i200000000000000000000−i2i200000000000000000000000
χ721212-6-12-6000060000000000440000000000-40000000000-2-200000000000000020000000000000000
χ731212-6-12-6000060000000000-4-400000000004000000000022000000000000000-20000000000000000
χ7412-12-6066i2−6i2000−3i23i2000000004i−4i0000000000000000022−2200−2i2i000000000000000000−22000000000000
χ7512-12-6066i2−6i2000−3i23i200000000−4i4i00000000000000000−2222002i−2i0000000000000000002−2000000000000
χ7612-12-606−6i26i20003i2−3i2000000004i−4i00000000000000000−222200−2i2i0000000000000000002−2000000000000
χ7712-12-606−6i26i20003i2−3i200000000−4i4i0000000000000000022−22002i−2i000000000000000000−22000000000000

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