Finite Group Databasebeta

← Group #10950093

Character table — Group #10950093

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222244444446666668888888888888121212161616161616161616161624242424242424242432324848
order122344624688121222448868888812161616162424248442424242424484848488888816161616121244
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111111111-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-11111111111111-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-11-1-1-1-11111-11111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111-1-111111111111-1-111-1-1-111-1-111-1-111-1-111-1-111-1-1-111-1-111-1-11-11-1
χ101111111-1-111111111111-1-111-1-1-1-1-11111-1-11-11-111-1-1-1-111-111-1-1-1-111-11-11
χ111111111-1-111111111111-1-1-1-111-111-1-111-1-11-11-1-1-11111-1-1-1-1-11111-1-1-11-11
χ121111111-1-111111111111-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-111-1-1-111-1-1111-11-1
χ131111111-1-111111-1-1-1-1-1-1-1-111-1-1-111-1-11111-11-1-111-1-111-1-11-1-111-1-1111-1-11
χ141111111-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-11-111-1-1-1-1111-1-11111-1-1-111-1
χ151111111-1-111111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-11-1-1-11111-1-1111-1-1-1-111-111-1
χ161111111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-11-1-1-1-111-1-111111-1-111-1-11-1-11
χ172222222222-2-2222222-2-22-2000020000-2-222-200-200000000-2000000000000
χ182222222222-2-222-2-2-2-2222-2000020000-2-2-2-2200-2000000002000000000000
χ192222222-2-22-2-2222222-2-2-220000-20000-2-2-2-2-2002000000002000000000000
χ202222222-2-22-2-222-2-2-2-222-220000-20000-2-222200200000000-2000000000000
χ212222-2-222-2200-2-222-2-200200000-2i2−i2i2−i200-2200000000i2−i2i2−i200000i2−i2i2−i20000
χ222222-2-222-2200-2-222-2-200200000-2−i2i2−i2i200-2200000000−i2i2−i2i200000−i2i2−i2i20000
χ232222-2-222-2200-2-2-2-22200200000-2i2−i2i2−i2002-200000000i2−i2i2−i200000−i2i2−i2i20000
χ242222-2-222-2200-2-2-2-22200200000-2−i2i2−i2i2002-200000000−i2i2−i2i200000i2−i2i2−i20000
χ252222-2-22-22200-2-222-2-200-2000002i2−i2−i2i2002-200000000i2−i2−i2i200000i2−i2−i2i20000
χ262222-2-22-22200-2-222-2-200-2000002−i2i2i2−i2002-200000000−i2i2i2−i200000−i2i2i2−i20000
χ272222-2-22-22200-2-2-2-22200-2000002i2−i2−i2i200-2200000000i2−i2−i2i200000−i2i2i2−i20000
χ282222-2-22-22200-2-2-2-22200-2000002−i2i2i2−i200-2200000000−i2i2i2−i200000i2−i2−i2i20000
χ29222-122-122-122-1-1000000-122222-12222-1-100022-1-1-1-1-1-1-1-1-1000000000-1-100
χ30222-122-122-122-1-1000000-122222-1-2-2-2-2-1-1000-2-2-1-1-1-1-111110000000001100
χ31222-122-122-122-1-1000000-12-2-2-2-2-12222-1-1000-2-2-11111-1-1-1-10000000001100
χ32222-122-122-122-1-1000000-12-2-2-2-2-1-2-2-2-2-1-100022-111111111000000000-1-100
χ33222-122-1-2-2-122-1-10000001-222-2-2122-2-2-1-10002-21-1-111-1-111000000000-1100
χ34222-122-1-2-2-122-1-10000001-222-2-21-2-222-1-1000-221-1-11111-1-10000000001-100
χ35222-122-1-2-2-122-1-10000001-2-2-222122-2-2-1-1000-22111-1-1-1-1110000000001-100
χ36222-122-1-2-2-122-1-10000001-2-2-2221-2-222-1-10002-2111-1-111-1-1000000000-1100
χ3722-222-2200-22-22-22-22-22200002i−2i000002-200-2000002i−2i00000002i−2i00000000
χ3822-222-2200-22-22-22-22-2220000−2i2i000002-200-200000−2i2i0000000−2i2i00000000
χ3922-222-2200-22-22-2-22-22-2-200002i−2i000002-2002000002i−2i0000000−2i2i00000000
χ4022-222-2200-22-22-2-22-22-2-20000−2i2i000002-200200000−2i2i00000002i−2i00000000
χ4122-222-2200-2-222-22-22-2-2-2002i−2i0000000-220020002i−2i00000002i−2i0000000000
χ4222-222-2200-2-222-22-22-2-2-200−2i2i0000000-22002000−2i2i0000000−2i2i0000000000
χ4322-222-2200-2-222-2-22-2222002i−2i0000000-2200-20002i−2i0000000−2i2i0000000000
χ4422-222-2200-2-222-2-22-222200−2i2i0000000-2200-2000−2i2i00000002i−2i0000000000
χ45444-244-244-2-4-4-2-2000000-2-40000-2000022000002000000000000000000000
χ46444-244-2-4-4-2-4-4-2-2000000240000200002200000-2000000000000000000000
χ47444-2-4-4-24-4-20022000000-20000022i2−2i22i2−2i2000000000000−i2i2−i2i20000000000000
χ48444-2-4-4-24-4-20022000000-2000002−2i22i2−2i22i2000000000000i2−i2i2−i20000000000000
χ49444-2-4-4-2-44-20022000000200000-22i2−2i2−2i22i2000000000000−i2i2i2−i20000000000000
χ50444-2-4-4-2-44-20022000000200000-2−2i22i22i2−2i2000000000000i2−i2−i2i20000000000000
χ5144-44-44400-400-444-4-44000000000000000000000000000000000000000000
χ5244-44-44400-400-44-444-4000000000000000000000000000000000000000000
χ5344-4-24-4-20024-4-2200000000004i−4i00000-2200000000−2i2i00000000000000000
χ5444-4-24-4-20024-4-220000000000−4i4i00000-22000000002i−2i00000000000000000
χ5544-4-24-4-2002-44-22000000004i−4i00000002-2000000−2i2i0000000000000000000
χ5644-4-24-4-2002-44-2200000000−4i4i00000002-20000002i−2i0000000000000000000
χ5788-8-4-88-4004004-40000000000000000000000000000000000000000000000
χ588-80800-80000000000042−420000000000000000000000000000000000000000
χ598-80800-800000000000−42420000000000000000000000000000000000000000
χ6016-160-800800000000000000000000000000000000000000000000000000000

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