Finite Group Databasebeta

← Group #10768911

Character table — Group #10768911

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224444666688888888888888881212161616161616161616161616161624242424242424242424242448
order122222366644664444224444444488121212124466812121212121212242424242444444444888
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1111-1-1-1-111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ31111111111111111111-1111-1-1-1-1-111-1-111111-1-1-1-1111-1-111-1-1-111-1-1-111-1-111-1
χ41111111111111111111-11-1-1-1-1-111-1-1-1-111111-11-1-11-1-111-1-111-111-1-1-1-1-111-1-11
χ5111111111111111111-11-1111-1-111-1-1111111-11-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1
χ6111111111111111111-11-1-1-11-1-1-1-111111111-111-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1111
χ7111111111111111111-1-1-111-111-1-1-1-1-1-11111-1-1111-111-1-1-1-111-1-1-1-11111-1-1-1-11
χ8111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-111-1-1-11111-1-1-1-1-1-111-1-11111-1
χ911111111111111-1-1-1-11111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111-1-1-1-1111-1-1111-1-1-1-11111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ1111111111111111-1-1-1-11-1111-1-1-1-1-111-1-111-1-11-1-1-1-1111-1-111-1-11-1-1111-1-111-1-11
χ1211111111111111-1-1-1-11-11-1-1-1-1-111-1-1-1-111-1-11-11-1-11-1-111-1-1111-1-111111-1-111-1
χ1311111111111111-1-1-1-1-11-1111-1-111-1-11111-1-1-11-1-1-1-11111-1-1-1-1-111-111-1-1-1-1111
χ1411111111111111-1-1-1-1-11-1-1-11-1-1-1-1111111-1-1-111-1-1-1-1-1-1-11111-111-1111111-1-1-1
χ1511111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1-1-1-1111-111-1-1-1-1111111-1-1-1-11111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1-11111-1-11111-1-111-1-1-1-11
χ172222222222-2-22222-2-202000-2000000-2-2-2-22-202000000000000-2002000000000
χ182222222222-2-22222-2-20-2000200000022-2-22-20-2000000000000200-2000000000
χ192222222222-2-222-2-22202000-2000000-2-2-2-2-2202000000000000200-2000000000
χ202222222222-2-222-2-2220-2000200000022-2-2-220-2000000000000-2002000000000
χ21222222-1-1-1-122-1-10000222222222222-1-1-1-100-1-12-1-1-1-1-1-1-1-1-1-1-10000000000000
χ22222222-1-1-1-122-1-10000222-2-2222-2-2-2-2-1-1-1-100-1-1-2-1-1-1111111110000000000000
χ23222222-1-1-1-122-1-100002-2222-2-2-2-2-22211-1-100-11-211-1-1-111-1-1110000000000000
χ24222222-1-1-1-122-1-100002-22-2-2-2-2-222-2-211-1-100-11211-111-1-111-1-10000000000000
χ25222222-1-1-1-122-1-10000-22-2222-2-222-2-2-1-1-1-1001-1-2111-1-1-1-111110000000000000
χ26222222-1-1-1-122-1-10000-22-2-2-22-2-2-2-222-1-1-1-1001-121111111-1-1-1-10000000000000
χ27222222-1-1-1-122-1-10000-2-2-222-222-2-2-2-211-1-100112-1-11-1-11111-1-10000000000000
χ28222222-1-1-1-122-1-10000-2-2-2-2-2-222222211-1-10011-2-1-1111-1-1-1-1110000000000000
χ292222-2-222222-2-2-2222220-2000000000002-2-2-220000-20000000002-20000000000
χ302222-2-222222-2-2-22222-202000000000002-2-2-2-200002000000000-220000000000
χ312222-2-222222-2-2-2-2-2-2-220-2000000000002-22220000-2000000000-220000000000
χ322222-2-222222-2-2-2-2-2-2-2-202000000000002-222-2000020000000002-20000000000
χ332222-2-22222-22-2-222-2-20000002-2000000-22-220002-200000000000002-20000000
χ342222-2-22222-22-2-222-2-2000000-22000000-22-22000-220000000000000-220000000
χ352222-2-22222-22-2-2-2-2220000002-2000000-222-20002-20000000000000-220000000
χ362222-2-22222-22-2-2-2-222000000-22000000-222-2000-2200000000000002-20000000
χ37444444-2-2-2-2-4-4-2-2000004000-40000002222000-20000000000000000000000000
χ38444444-2-2-2-2-4-4-2-200000-40004000000-2-22200020000000000000000000000000
χ394444-4-4-2-2-2-24-422000040-400000000000-2200-200002000000000000000000000
χ404444-4-4-2-2-2-24-4220000-40400000000000-220020000-2000000000000000000000
χ414444-4-4-2-2-2-2-442200000000004-40000002-200000-220000000000000000000000
χ424444-4-4-2-2-2-2-44220000000000-440000002-2000002-20000000000000000000000
χ4344-4-44-44-4-44004-40000000000000022−22000000000000000022−22000000000000000
χ4444-4-44-44-4-44004-400000000000000−22220000000000000000−2222000000000000000
χ4544-4-44-4-222-200-220000000000000022−2223−2300000000000000−226−60000000000000
χ4644-4-44-4-222-200-220000000000000022−22−232300000000000000−22−660000000000000
χ4744-4-44-4-222-200-2200000000000000−222223−23000000000000002−2−660000000000000
χ4844-4-44-4-222-200-2200000000000000−2222−2323000000000000002−26−60000000000000
χ4944-4-4-444-4-4400-440000000000000000000000000000000000000000000000−2i22i20
χ5044-4-4-444-4-4400-4400000000000000000000000000000000000000000000002i2−2i20
χ514-44-40044-4-400004i−4i000002i−2i00000000000000000002i−2i0000000000002-200000
χ524-44-40044-4-400004i−4i00000−2i2i0000000000000000000−2i2i000000000000-2200000
χ534-44-40044-4-40000−4i4i000002i−2i00000000000000000002i−2i000000000000-2200000
χ544-44-40044-4-40000−4i4i00000−2i2i0000000000000000000−2i2i0000000000002-200000
χ554-4-44004-44-40000004-4000000002i−2i00000000000000002i−2i0000000000002i−2i000
χ564-4-44004-44-40000004-400000000−2i2i0000000000000000−2i2i000000000000−2i2i000
χ574-4-44004-44-4000000-44000000002i−2i00000000000000002i−2i000000000000−2i2i000
χ584-4-44004-44-4000000-4400000000−2i2i0000000000000000−2i2i0000000000002i−2i000
χ5988-8-8-88-444-4004-40000000000000000000000000000000000000000000000000
χ608-88-800-4-444000000000004i−4i0000000000000000000−2i2i0000000000000000000
χ618-88-800-4-44400000000000−4i4i00000000000000000002i−2i0000000000000000000
χ628-8-8800-44-4400000000000000004i−4i0000000000000000−2i2i00000000000000000
χ638-8-8800-44-440000000000000000−4i4i00000000000000002i−2i00000000000000000

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