Finite Group Databasebeta

← Group #10909581

Character table — Group #10909581

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222222444444448888888881212161616161616161616161616161616162424242424242424242424242448
order1222223444466666881212121224888242424248844688121212121224242424242422222444448884
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111111-1-111-11-1-1-1-111-1-1-1-11-1-1-1-11-1-111111-1
χ41111111111111111111111111-1-11111-1-1-1-111-11-1-1-1-111-1-1-1-1-11111-111-1-1-1-1-11
χ51111111111111111111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-11111-111-1-1-111111-1-1-1
χ61111111111111111111111-1-11111111-1-1-1-1-1-11-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1111
χ71111111111111111111111-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111-1-11
χ81111111111111111111111-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-1-111-1
χ91111111111111111-1-1111111-111-1-1-1-1111-11-1-1111-1-1-1-111-1-111-1-1-111-1-1-11-1-11
χ101111111111111111-1-1111111-111-1-1-1-1-1-11-11-1-1111-1-1-1-111-1-1-1-1111-1-1111-111-1
χ111111111111111111-1-1111111-1-1-1-1-1-1-111-111-111-1-111-1-1-1-1111-11111-11-1-11-1-1-1
χ121111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-111-11-1-1-1-11-111-1111
χ131111111111111111-1-11111-1-1-111-1-1-1-111-11-11-1-1-1-1111111-1-1-11-111-11-1-1-1111-1
χ141111111111111111-1-11111-1-1-111-1-1-1-1-1-1-11-11-1-1-1-1111111-1-11-11-1-11-1111-1-1-11
χ151111111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-111-1-111-1-111-1-11-1-1-1-11-1-11111
χ161111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-111-1-11111-11111-111-1-1-1-1
χ17222222-12222-1-1-1-1-122-1-1-1-122222-1-1-1-10022-122-1-1-1-1-1-1-1-1-1-1-100000000000000
χ18222222-12222-1-1-1-1-122-1-1-1-1222-2-2-1-1-1-100-2-2-12-2-11111-1-1111100000000000000
χ19222222-12222-1-1-1-1-122-1-1-1-1-2-2222-1-1-1-100-2-21-221111111-1-1-1-100000000000000
χ20222222-12222-1-1-1-1-122-1-1-1-1-2-22-2-2-1-1-1-100221-2-21-1-1-1-111111100000000000000
χ21222222-12222-1-1-1-1-1-2-2-1-1-1-122-2221111002-2-1-2-2-1-1-11111-1-11100000000000000
χ22222222-12222-1-1-1-1-1-2-2-1-1-1-122-2-2-2111100-22-1-22-111-1-11111-1-100000000000000
χ23222222-12222-1-1-1-1-1-2-2-1-1-1-1-2-2-222111100-2212-2111-1-1-1-1-1-11100000000000000
χ24222222-12222-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2-21111002-21221-1-111-1-111-1-100000000000000
χ252222-2-222-22-2222-2-20022-2-22-200000002200200-20000000000-2000020000-2000
χ262222-2-222-22-2222-2-20022-2-22-20000000-2-200200-2000000000020000-200002000
χ272222-2-222-22-2222-2-20022-2-2-2200000002200-2002000000000020000-20000-2000
χ282222-2-222-22-2222-2-20022-2-2-220000000-2-200-20020000000000-20000200002000
χ292222-2-22-22-22222-2-222-2-22200-20022-2-2000000000000000000022000-2-2000000
χ302222-2-22-22-22222-2-222-2-22200-20022-2-20000000000000000000-2-200022000000
χ312222-2-22-22-22222-2-2-2-2-2-22200200-2-22200000000000000000002-2000-22000000
χ322222-2-22-22-22222-2-2-2-2-2-22200200-2-2220000000000000000000-220002-2000000
χ332-2-222-2222-2-2-22-22-2002-22-20002i−2i0000000000000000002i−2i000002-20000002i−2i0
χ342-2-222-2222-2-2-22-22-2002-22-20002i−2i0000000000000000002i−2i00000-22000000−2i2i0
χ352-2-222-2222-2-2-22-22-2002-22-2000−2i2i000000000000000000−2i2i000002-2000000−2i2i0
χ362-2-222-2222-2-2-22-22-2002-22-2000−2i2i000000000000000000−2i2i00000-220000002i−2i0
χ374444444-4-4-4-44444400-4-4-4-400000000000000000000000000000000000000000
χ38444444-2-4-4-4-4-2-2-2-2-200222200000000000000000000023−23000000000000000000
χ39444444-2-4-4-4-4-2-2-2-2-2002222000000000000000000000−2323000000000000000000
χ404444-4-4-24-44-4-2-2-22200-2-2224-400000000000-2002000000000000000000000000
χ414444-4-4-24-44-4-2-2-22200-2-222-4400000000000200-2000000000000000000000000
χ424444-4-4-2-44-44-2-2-2224422-2-200-400-2-22200000000000000000000000000000000
χ434444-4-4-2-44-44-2-2-222-4-422-2-20040022-2-200000000000000000000000000000000
χ444-44-400400004-4-40022−2200000000022−2200−2i22i20000000000000000000000002i−2i0000
χ454-44-400400004-4-40022−2200000000022−22002i2−2i2000000000000000000000000−2i2i0000
χ464-44-400400004-4-400−2222000000000−222200−2i22i2000000000000000000000000−2i2i0000
χ474-44-400400004-4-400−2222000000000−2222002i2−2i20000000000000000000000002i−2i0000
χ484-4-444-44-4-444-44-44-400-44-4400000000000000000000000000000000000000000
χ494-4-444-4-244-4-42-22-2200-22-220004i−4i000000000000000000−2i2i0000000000000000
χ504-4-444-4-244-4-42-22-2200-22-22000−4i4i0000000000000000002i−2i0000000000000000
χ514-4-444-4-2-4-4442-22-22002-22-2000000000000000000023−2300000000000000000000
χ524-4-444-4-2-4-4442-22-22002-22-20000000000000000000−232300000000000000000000
χ534-4-44-4444-4-44-44-4-44004-4-4400000000000000000000000000000000000000000
χ544-4-44-444-444-4-44-4-4400-444-400000000000000000000000000000000000000000
χ554-4-44-44-24-4-442-222-200-222-20000000000000000023−230000000000000000000000
χ564-4-44-44-24-4-442-222-200-222-200000000000000000−23230000000000000000000000
χ574-4-44-44-2-444-42-222-2002-2-22000000000000000000000000023−2300000000000000
χ584-4-44-44-2-444-42-222-2002-2-220000000000000000000000000−232300000000000000
χ5988-8-80080000-8-880000000000000000000000000000000000000000000000000
χ6088-8-800-4000044-40000000000000002i6−2i600000000000000000000000000000000
χ6188-8-800-4000044-4000000000000000−2i62i600000000000000000000000000000000
χ628-88-800-40000-4440042−42000000000−22220000000000000000000000000000000000
χ638-88-800-40000-44400−424200000000022−220000000000000000000000000000000000

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