Finite Group Databasebeta

← Group #10778179

Character table — Group #10778179

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222244444446666888888888888881212121212121212161616161616161616162424242424242432324848
order1222344446664881212121244444488888881224242424222444884412122424242424248888888121244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111111111111-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-11111111111-1-11-1-111-1-1-1-1-1-11111111-1-111-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-1-1-1111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ51111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-111
χ71111111111111111111-1-1-1-1-1-11-1-1111111111-111-111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-11-1-1-1-1-1-111111-111-111-1-111-1-1-1-1-1-1-1-111-1111111-1-1
χ91111111111111-1-11111111111-1-1-111-1-11-1-1-1-1111111-1-11-111-1-111-1-111-1-1-1-1-11-11-1
χ101111111111111-1-11111111111-1-1-1-1-1111-1-1-1-1111111-1-1-1111-1-1-1-111-1-1-1-1-111-11-11
χ111111111111111-1-111111111-1-1-11111-1-11-1-1-1-11-1-11-1-1-1-1-11-1-11111-1-111-111-1-1-11-11
χ121111111111111-1-111111111-1-1-111-1-1111-1-1-1-11-1-11-1-1-1-11-1-1-111-1-111-1-1-111111-11-1
χ131111111111111-1-11111-1-1-1-111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1111111-1-11
χ141111111111111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-11111111-1-1-111-1
χ151111111111111-1-11111-1-1-1-1-1-1-11111-1-11-1-1-1-1-111-11111-11-1-11111-1-1-1-11-1-111-111-1
χ161111111111111-1-11111-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-111111-1-1-111-1-111111-1-1-1-11-1-11
χ17222222-22-2222-2002-2-2222-2-22-20000000-20000222-2-2-200002-200000000000000000
χ18222222-22-2222-2002-2-2222-2-2-220000000-200002-2-2-2220000-2200000000000000000
χ19222222-22-2222-2002-2-22-2-2222-20000000-20000-2-2-222200002-200000000000000000
χ20222222-22-2222-2002-2-22-2-222-220000000-20000-2222-2-20000-2200000000000000000
χ2122222-22-22222-222-222-2222200-2000000-222-2-2-200-20022000000000000-200000000
χ2222222-22-22222-222-222-2-2-2-2-200-2000000-222-2-2200200-2-2000000000000200000000
χ2322222-22-22222-2-2-2-222-22222002000000-2-2-222-200-200-2-2000000000000200000000
χ2422222-22-22222-2-2-2-222-2-2-2-2-2002000000-2-2-22220020022000000000000-200000000
χ2522222-2-2-2-2222200-2-2-2-222-2-20002i−2i000020000-2002000000002i−2i00000002i−2i000000
χ2622222-2-2-2-2222200-2-2-2-222-2-2000−2i2i000020000-200200000000−2i2i0000000−2i2i000000
χ2722222-2-2-2-2222200-2-2-2-2-2-2220002i−2i000020000200-2000000002i−2i0000000−2i2i000000
χ2822222-2-2-2-2222200-2-2-2-2-2-222000−2i2i000020000200-200000000−2i2i00000002i−2i000000
χ292222-12222-1-1-1222-1-1-1-10000222222222-1-1-1-1-10000000022-1-1-1-1-1-1-1-10000000-1-100
χ302222-12222-1-1-1222-1-1-1-1000022222-2-2-2-2-1-1-1-1-100000000-2-2-1-1-1-1111100000001100
χ312222-12222-1-1-1222-1-1-1-10000-2-22-2-22222-1-1-1-1-100000000-2-21111-1-1-1-100000001100
χ322222-12222-1-1-1222-1-1-1-10000-2-22-2-2-2-2-2-2-1-1-1-1-10000000022111111110000000-1-100
χ332222-12222-1-1-12-2-2-1-1-1-1000022-2-2-222-2-2-11111000000002-2-1-111-1-1110000000-1100
χ342222-12222-1-1-12-2-2-1-1-1-1000022-2-2-2-2-222-1111100000000-22-1-11111-1-100000001-100
χ352222-12222-1-1-12-2-2-1-1-1-10000-2-2-22222-2-2-1111100000000-2211-1-1-1-11100000001-100
χ362222-12222-1-1-12-2-2-1-1-1-10000-2-2-222-2-222-11111000000002-211-1-111-1-10000000-1100
χ372-2-2220-2022-2-202-202-202i−2i2i−2i000002−22−202-2000000002i−2i0000002−22−2−i2i2000−i2i20000
χ382-2-2220-2022-2-202-202-202i−2i2i−2i00000−22−2202-2000000002i−2i000000−22−22i2−i2000i2−i20000
χ392-2-2220-2022-2-202-202-20−2i2i−2i2i000002−22−202-200000000−2i2i0000002−22−2i2−i2000i2−i20000
χ402-2-2220-2022-2-202-202-20−2i2i−2i2i00000−22−2202-200000000−2i2i000000−22−22−i2i2000−i2i20000
χ412-2-2220-2022-2-20-2202-202i−2i2i−2i000002−2−220-2200000000−2i2i0000002−2−22−i2i2000i2−i20000
χ422-2-2220-2022-2-20-2202-202i−2i2i−2i00000−222−20-2200000000−2i2i000000−222−2i2−i2000−i2i20000
χ432-2-2220-2022-2-20-2202-20−2i2i−2i2i000002−2−220-22000000002i−2i0000002−2−22i2−i2000−i2i20000
χ442-2-2220-2022-2-20-2202-20−2i2i−2i2i00000−222−20-22000000002i−2i000000−222−2−i2i2000i2−i20000
χ454444-24-44-4-2-2-2-400-222-200004-40000000200000000000000-2200000000000000000
χ464444-24-44-4-2-2-2-400-222-20000-4400000002000000000000002-200000000000000000
χ474444-2-44-44-2-2-2-4442-2-22000000-40000002-2-22200000000000000000000000000000
χ484444-2-44-44-2-2-2-4-4-42-2-220000004000000222-2-200000000000000000000000000000
χ494444-2-4-4-4-4-2-2-2400222200000004i−4i0000-20000000000000000−2i2i000000000000000
χ504444-2-4-4-4-4-2-2-240022220000000−4i4i0000-200000000000000002i−2i000000000000000
χ5144-4-4440-40-44-4000400-400000000000000000004-400000000000000000000000000
χ5244-4-4440-40-44-4000400-40000000000000000000-4400000000000000000000000000
χ5344-4-44-4040-44-4000-400400000000000000000000004i−4i00000000000000000000000
χ5444-4-44-4040-44-4000-40040000000000000000000000−4i4i00000000000000000000000
χ554-4-444040-44-4-40000-4404i−4i−4i4i0000000000000000000000000000000000000000000
χ564-4-444040-44-4-40000-440−4i4i4i−4i0000000000000000000000000000000000000000000
χ574-4-44-20-404-22204-40-22000000000022−2222−220-220000000000000000−22−2200000000000
χ584-4-44-20-404-22204-40-220000000000−2222−22220-2200000000000000002−22−200000000000
χ594-4-44-20-404-2220-440-22000000000022−22−222202-20000000000000000−222−200000000000
χ604-4-44-20-404-2220-440-220000000000−222222−2202-200000000000000002−2−2200000000000
χ6188-8-8-480-804-44000-400400000000000000000000000000000000000000000000000
χ6288-8-8-4-80804-44000400-400000000000000000000000000000000000000000000000
χ638-88-880000-8-88000000000000000000000000000000000000000000000000000000
χ648-88-8-4000044-40000000000000000000000026−2600000000000000000000000000000
χ658-88-8-4000044-400000000000000000000000−262600000000000000000000000000000
χ668-8-88-4080-8-44400004-4000000000000000000000000000000000000000000000000

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