Finite Group Databasebeta

← Group #10768909

Character table — Group #10768909

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224444666688888888888888881212161616161616161616161616161624242424242424242424242448
order122222366644664444244444444466881212448121212121212121212242424242244444444888
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111-1-11111-1111-1-1-1-111-1-1-1-11-1-1111-1-111-1-1-1
χ31111111111111111111-1-111111-1-111-1-11111-1-1-111111-1-1-1-1-1-11111-1-111-1-1-1-1-1
χ41111111111111111111-1-11-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-111111-1-11-1-1-1-1-1-1111
χ5111111111111111111-111-111-1-1-1-1-1-1111111-111-111-1-1-1-111-1-1-111-111-1-1-1-111-1
χ6111111111111111111-111-1-1-111-1-1-1-1-1-11111111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11
χ7111111111111111111-1-1-1-111-1-111-1-1-1-111111-1-1-111-1-111-1-111-111-1-1-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1
χ911111111111111-1-1-1-11111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1111-1-1-1-111-1-1-1-1-111-1-1-111-1-1111
χ1111111111111111-1-1-1-11-1-111111-1-111-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111111
χ1211111111111111-1-1-1-11-1-11-1-1-1-1-1-1111111-1-11-1-11-1-1-1-1-1-11111-111-1111111-1-1-1
χ1311111111111111-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-111-111-1-1-1-111-1-11-1-11-1-11111-1-11
χ1411111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1111-1-1-111-1-1-1-1111111-1-1-1-11111-1
χ1511111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-1-1-111-1-111-1-1111-1-111111-1-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ172222222222-2-22222-2-2200-20000002200-2-22-2000-20000000000-2002000000000
χ182222222222-2-22222-2-2-2002000000-2-200-2-22-200020000000000200-2000000000
χ192222222222-2-222-2-222200-20000002200-2-2-22000-20000000000200-2000000000
χ202222222222-2-222-2-222-2002000000-2-200-2-2-2200020000000000-2002000000000
χ21222222-1-1-1-122-1-100002222222222-1-122-1-1002-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000
χ22222222-1-1-1-122-1-100002222-2-2-2-222-1-1-2-2-1-100-2-1-1-11111-1-111110000000000000
χ23222222-1-1-1-122-1-100002-2-222222-2-2-1-1-2-2-1-100-211-1-1-1-1-11111110000000000000
χ24222222-1-1-1-122-1-100002-2-22-2-2-2-2-2-2-1-122-1-100211-1111111-1-1-1-10000000000000
χ25222222-1-1-1-122-1-10000-222-222-2-2-2-21122-1-100-2-1-11-1-11111-1-1110000000000000
χ26222222-1-1-1-122-1-10000-222-2-2-222-2-211-2-2-1-1002-1-1111-1-11111-1-10000000000000
χ27222222-1-1-1-122-1-10000-2-2-2-222-2-22211-2-2-1-1002111-1-111-1-111-1-10000000000000
χ28222222-1-1-1-122-1-10000-2-2-2-2-2-222221122-1-100-211111-1-1-1-1-1-1110000000000000
χ292222-2-222222-2-2-2222200002-2000000002-2-2-200002-20000000002-20000000000
χ302222-2-222222-2-2-222220000-22000000002-2-2-20000-22000000000-220000000000
χ312222-2-222222-2-2-2-2-2-2-200002-2000000002-22200002-2000000000-220000000000
χ322222-2-222222-2-2-2-2-2-2-20000-22000000002-2220000-220000000002-20000000000
χ332222-2-22222-22-2-222-2-20000002-2000000-22-220000002-20000000000002-200000
χ342222-2-22222-22-2-222-2-2000000-22000000-22-22000000-22000000000000-2200000
χ352222-2-22222-22-2-2-2-2220000002-2000000-222-20000002-2000000000000-2200000
χ362222-2-22222-22-2-2-2-222000000-22000000-222-2000000-220000000000002-200000
χ37444444-2-2-2-2-4-4-2-20000400-4000000-2-2002200000200000000000000000000000
χ38444444-2-2-2-2-4-4-2-20000-400400000022002200000-200000000000000000000000
χ394444-4-4-2-2-2-24-422000000004-400000000-22000000-22000000000000000000000
χ404444-4-4-2-2-2-24-42200000000-4400000000-220000002-2000000000000000000000
χ414444-4-4-2-2-2-2-442200000000004-40000002-200000000-220000000000000000000
χ424444-4-4-2-2-2-2-44220000000000-440000002-2000000002-20000000000000000000
χ4344-4-44-444-4-4004-4000000000000000000000000000000000000000000000022−220
χ4444-4-44-444-4-4004-40000000000000000000000000000000000000000000000−22220
χ4544-4-4-4444-4-400-440000000000000000−2i22i200000000000000−2i22i2000000000000000
χ4644-4-4-4444-4-400-4400000000000000002i2−2i2000000000000002i2−2i2000000000000000
χ4744-4-4-44-2-222002-200000000000000−2i32i3−2i22i200000000000000i2−i26−60000000000000
χ4844-4-4-44-2-222002-200000000000000−2i32i32i2−2i200000000000000−i2i2−660000000000000
χ4944-4-4-44-2-222002-2000000000000002i3−2i3−2i22i200000000000000i2−i2−660000000000000
χ5044-4-4-44-2-222002-2000000000000002i3−2i32i2−2i200000000000000−i2i26−60000000000000
χ514-44-4004-44-400004i−4i0002i−2i00000000000000002i−2i0000000000000002-20000000
χ524-44-4004-44-400004i−4i000−2i2i0000000000000000−2i2i000000000000000-220000000
χ534-44-4004-44-40000−4i4i0002i−2i00000000000000002i−2i000000000000000-220000000
χ544-44-4004-44-40000−4i4i000−2i2i0000000000000000−2i2i0000000000000002-20000000
χ554-4-44004-4-440000004-4000000002i−2i00000000000000002i−2i0000000000002i−2i000
χ564-4-44004-4-440000004-400000000−2i2i0000000000000000−2i2i000000000000−2i2i000
χ574-4-44004-4-44000000-44000000002i−2i00000000000000002i−2i000000000000−2i2i000
χ584-4-44004-4-44000000-4400000000−2i2i0000000000000000−2i2i0000000000002i−2i000
χ5988-8-88-8-4-44400-440000000000000000000000000000000000000000000000000
χ608-88-800-44-440000000004i−4i0000000000000000−2i2i000000000000000000000000
χ618-88-800-44-44000000000−4i4i00000000000000002i−2i000000000000000000000000
χ628-8-8800-444-400000000000000004i−4i0000000000000000−2i2i00000000000000000
χ638-8-8800-444-40000000000000000−4i4i00000000000000002i−2i00000000000000000

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