Finite Group Databasebeta

← Group #79673

Character table — Group #79673

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1122222661122222662244444121222444441212224444412124488888242444888882424
order1234612122222646121222441241212124488248242424888824824242488226461212224412412121244
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ3111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1
χ4111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11
χ522-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100
χ622-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100
χ72-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-20000
χ82-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300
χ92-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−3300
χ10111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ12111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11-1-1-11-111-11
χ13111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1-1-1-11-1111-1
χ1422-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-211100-2-21-211100
χ1522-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-100-2-2121-1-100
χ162-220-200002-220-200002-220-200002-220-200002-220-20000-22-2020000-22-2020000
χ172-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300-2210-1−3300-2210-1−3300
χ182-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−3300-2210-13−300-2210-13−300
χ19111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ201111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111
χ21111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11-1-1-11-111-11111-11-1-11-1-1-1-11-111-11
χ22111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1-1-1-11-1111-1111-11-1-1-11-1-1-11-1111-1
χ2322-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-211100-2-21-21110022-12-1-1-100-2-21-211100
χ2422-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-100-2-2121-1-10022-1-2-11100-2-2121-1-100
χ252-220-200002-220-200002-220-20000-22-2020000-22-20200002-220-20000-22-2020000
χ262-2-1013−3002-2-1013−3002-2-1013−300-2210-1−3300-2210-1−33002-2-1013−300-2210-1−3300
χ272-2-101−33002-2-101−33002-2-101−3300-2210-13−300-2210-13−3002-2-101−3300-2210-13−300
χ28111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ291111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1
χ30111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11111-11-1-11-1
χ31111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1111-11-1-1-11
χ3222-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-211100-2-21-211100-2-21-21110022-12-1-1-100
χ3322-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-100-2-2121-1-100-2-2121-1-10022-1-2-11100
χ342-220-200002-220-200002-220-20000-22-2020000-22-2020000-22-20200002-220-20000
χ352-2-1013−3002-2-1013−3002-2-1013−300-2210-1−3300-2210-1−3300-2210-1−33002-2-1013−300
χ362-2-101−33002-2-101−33002-2-101−3300-2210-13−300-2210-13−300-2210-13−3002-2-101−3300
χ37222222222222222222-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ382222222-2-22222222-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000
χ39222-22-2-22-2222-22-2-22-2-2-2-22-222-22000000000000000000000000000000000000
χ40222-22-2-2-22222-22-2-2-22-2-2-22-2222-2000000000000000000000000000000000000
χ4144-24-2-2-20044-24-2-2-200-4-42-422200000000000000000000000000000000000000
χ4244-2-4-2220044-2-4-22200-4-4242-2-200000000000000000000000000000000000000
χ434-440-400004-440-40000-44-4040000000000000000000000000000000000000000
χ444-4-20223−23004-4-20223−2300-4420-2−232300000000000000000000000000000000000000
χ454-4-202−2323004-4-202−232300-4420-223−2300000000000000000000000000000000000000
χ46222222222-2-2-2-2-2-2-2-2-2000000000i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2000000000000000000
χ472222222-2-2-2-2-2-2-2-2-222000000000i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2000000000000000000
χ48222-22-2-22-2-2-2-22-222-22000000000i2i2i2−i2i2−i2−i2i2−i2−i2−i2−i2i2−i2i2i2−i2i2000000000000000000
χ49222-22-2-2-22-2-2-22-2222-2000000000i2i2i2−i2i2−i2−i2−i2i2−i2−i2−i2i2−i2i2i2i2−i2000000000000000000
χ5044-24-2-2-200-4-42-4222000000000002i22i2−i22i2−i2−i2−i200−2i2−2i2i2−2i2i2i2i200000000000000000000
χ5144-2-4-22200-4-4242-2-2000000000002i22i2−i2−2i2−i2i2i200−2i2−2i2i22i2i2−i2−i200000000000000000000
χ524-440-40000-44-40400000000000002i2−2i22i20−2i20000−2i22i2−2i202i20000000000000000000000
χ534-4-20223−2300-4420-2−2323000000000002i2−2i2−i20i2i6−i600−2i22i2i20−i2−i6i600000000000000000000
χ544-4-202−232300-4420-223−23000000000002i2−2i2−i20i2−i6i600−2i22i2i20−i2i6−i600000000000000000000
χ55222222222-2-2-2-2-2-2-2-2-2000000000−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2000000000000000000
χ562222222-2-2-2-2-2-2-2-2-222000000000−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2−i2−i2000000000000000000
χ57222-22-2-22-2-2-2-22-222-22000000000−i2−i2−i2i2−i2i2i2−i2i2i2i2i2−i2i2−i2−i2i2−i2000000000000000000
χ58222-22-2-2-22-2-2-22-2222-2000000000−i2−i2−i2i2−i2i2i2i2−i2i2i2i2−i2i2−i2−i2−i2i2000000000000000000
χ5944-24-2-2-200-4-42-422200000000000−2i2−2i2i2−2i2i2i2i2002i22i2−i22i2−i2−i2−i200000000000000000000
χ6044-2-4-22200-4-4242-2-200000000000−2i2−2i2i22i2i2−i2−i2002i22i2−i2−2i2−i2i2i200000000000000000000
χ614-440-40000-44-4040000000000000−2i22i2−2i202i200002i2−2i22i20−2i20000000000000000000000
χ624-4-20223−2300-4420-2−232300000000000−2i22i2i20−i2−i6i6002i2−2i2−i20i2i6−i600000000000000000000
χ634-4-202−232300-4420-223−2300000000000−2i22i2i20−i2i6−i6002i2−2i2−i20i2−i6i600000000000000000000

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