Finite Group Databasebeta

← Group #80964

Character table — Group #80964

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222223333444444444444466668888888888812121212121212121216162424
order1222344446664444224448888121212122244446612121224242424444448888121244
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-111111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-11111111111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-11-1-1-1-11111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-11111-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-11111111111-1-1
χ9111111-1-11111111111-1-1-111-1-11-1-1111-1-11-111-1-1-111-1-1-111-1-111-1-11-11-1
χ10111111-1-11111111111-1-1-1-1-1111-1-1111-1-1-1111-1-1-1-1-111-111-1-1-1-111-11-11
χ11111111-1-111111111-1-111-111-1-11-1-1111-1-1-11-1-1-11111-1-1-1-1-11111-1-1-11-11
χ12111111-1-111111111-1-111-1-1-1111-1-1111-1-11-1-1-1-111-1-111-1-1-111-1-1111-11-1
χ13111111-1-11111-1-1-1-111-1-1-111-1-11-1-11-1-1111-111-1-1-111-1-11-1-111-1-1111-1-11
χ14111111-1-11111-1-1-1-111-1-1-1-1-1111-1-11-1-111-1111-1-1-1-1-1111-1-11111-1-1-111-1
χ15111111-1-11111-1-1-1-1-1-111-111-1-11-1-11-1-111-11-1-1-11111-1-1111-1-1-1-111-111-1
χ16111111-1-11111-1-1-1-1-1-111-1-1-1111-1-11-1-1111-1-1-1-111-1-111111-1-111-1-11-1-11
χ1722222-222-222222220000-20000-222-2-2-2220000-2000000-2000000000000
χ1822222-222-2222-2-2-2-20000-20000-222-222-2-20000-20000002000000000000
χ1922222-2-2-2-22222222000020000-2-2-2-2-2-2-2-2000020000002000000000000
χ2022222-2-2-2-2222-2-2-2-2000020000-2-2-2-2222200002000000-2000000000000
χ212222-12222-1-1-10000222222222-1-1-1-1000022-1-1-1-1-1-1-1-1-1000000000-1-100
χ222222-12222-1-1-1000022222-2-2-2-2-1-1-1-10000-2-2-1-1-1-1-111110000000001100
χ232222-12222-1-1-10000-2-2-2-222222-1-1-1-10000-2-211-111-1-1-1-10000000001100
χ242222-12222-1-1-10000-2-2-2-22-2-2-2-2-1-1-1-100002211-1111111000000000-1-100
χ252222-12-2-22-1-1-1000022-2-2-222-2-2-111-100002-2-1-1111-1-111000000000-1100
χ262222-12-2-22-1-1-1000022-2-2-2-2-222-111-10000-22-1-111111-1-10000000001-100
χ272222-12-2-22-1-1-10000-2-222-222-2-2-111-10000-22111-1-1-1-1110000000001-100
χ282222-12-2-22-1-1-10000-2-222-2-2-222-111-100002-2111-1-111-1-1000000000-1100
χ2922-2-2202-20-2-222i2i−2i−2i000002−22−202-20002i−2i00000002−22−200000i2−i2i2−i20000
χ3022-2-2202-20-2-222i2i−2i−2i00000−22−2202-20002i−2i0000000−22−2200000−i2i2−i2i20000
χ3122-2-2202-20-2-22−2i−2i2i2i000002−22−202-2000−2i2i00000002−22−200000−i2i2−i2i20000
χ3222-2-2202-20-2-22−2i−2i2i2i00000−22−2202-2000−2i2i0000000−22−2200000i2−i2i2−i20000
χ3322-2-220-220-2-222i2i−2i−2i000002−2−220-22000−2i2i00000002−2−2200000i2−i2−i2i20000
χ3422-2-220-220-2-222i2i−2i−2i00000−222−20-22000−2i2i0000000−222−200000−i2i2i2−i20000
χ3522-2-220-220-2-22−2i−2i2i2i000002−2−220-220002i−2i00000002−2−2200000−i2i2i2−i20000
χ3622-2-220-220-2-22−2i−2i2i2i00000−222−20-220002i−2i0000000−222−200000i2−i2−i2i20000
χ372-22-22200-22-2-22-22-22-20000000200-22-200002-2000000002-20000000000
χ382-22-22200-22-2-22-22-2-220000000200-22-20000-2200000000-220000000000
χ392-22-22200-22-2-2-22-222-20000000200-2-2200002-200000000-220000000000
χ402-22-22200-22-2-2-22-22-220000000200-2-220000-22000000002-20000000000
χ412-22-22-20022-2-22-22-2002i−2i00000-2002-2200000002i−2i00000002i−2i00000000
χ422-22-22-20022-2-22-22-200−2i2i00000-2002-220000000−2i2i0000000−2i2i00000000
χ432-22-22-20022-2-2-22-22002i−2i00000-20022-200000002i−2i0000000−2i2i00000000
χ442-22-22-20022-2-2-22-2200−2i2i00000-20022-20000000−2i2i00000002i−2i00000000
χ454444-2-444-4-2-2-200000000-400002-2-220000000020000000000000000000
χ464444-2-4-4-4-4-2-2-20000000040000222200000000-20000000000000000000
χ4744-4-4-204-4022-200000000022−2222−220-22000000000000−22−220000000000000
χ4844-4-4-204-4022-2000000000−2222−22220-220000000000002−22−20000000000000
χ4944-4-4-20-44022-200000000022−22−222202-2000000000000−222−20000000000000
χ5044-4-4-20-44022-2000000000−222222−2202-20000000000002−2−220000000000000
χ514-44-4-2400-4-22200004-40000000-2002000000-2200000000000000000000
χ524-44-4-2400-4-2220000-440000000-20020000002-200000000000000000000
χ534-44-4-2-4004-2220000004i−4i00000200-2000000000−2i2i00000000000000000
χ544-44-4-2-4004-222000000−4i4i00000200-20000000002i−2i00000000000000000
χ554-4-4440000-44-44i−4i−4i4i00000000000000000000000000000000000000000
χ564-4-4440000-44-4−4i4i4i−4i00000000000000000000000000000000000000000
χ578-8-88-400004-44000000000000000000000000000000000000000000000

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