Finite Group Databasebeta

← Group #10714384

Character table — Group #10714384

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222222222222444444448888888888888888161616161616161616161616242424242424242448484848
order122222344446666666888812121212246688121224242424242424244444121212121212121216161616161616162444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1
χ9222222222222222222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2000000000000000000000000
χ10222222222222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-22222000000000000000000000000
χ112222222-2-2-2-222222220000-2-2-2-22-22200-2-20000000000000000000022−2−222−2−20000
χ122222222-2-2-2-222222220000-2-2-2-22-22200-2-200000000000000000000−2−222−2−2220000
χ132222222-2-2-2-222222220000-2-2-2-2-22-2-200220000000000000000000022−2−2−2−2220000
χ142222222-2-2-2-222222220000-2-2-2-2-22-2-2002200000000000000000000−2−22222−2−20000
χ15222222-12222-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ16222222-12222-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ17222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-211-1-1-1-1111122-2-21111-1-1-1-1000000000000
χ18222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-211-1-1-1-11111-2-222-1-1-1-11111000000000000
χ19222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-2-2-1-1111111110000−i3−i3i3i3−i3−i3i3i3000000000000
χ20222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-2-2-1-1111111110000i3i3−i3−i3i3i3−i3−i3000000000000
χ21222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-21122111111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000000000
χ22222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-21122111111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000000
χ232222-2-222-2-222-2-22-2-222-22-22-2-220000000022-2-200000000000000000000000020-20
χ242222-2-222-2-222-2-22-2-222-22-22-2-220000000022-2-2000000000000000000000000-2020
χ252222-2-222-2-222-2-22-2-22-22-222-2-2200000000-2-222000000000000000000000000020-2
χ262222-2-222-2-222-2-22-2-22-22-222-2-2200000000-2-2220000000000000000000000000-202
χ272-22-22-22-22-22-2222-2-2-22-2-22-22-22000000002-22-200002i−2i0000002i−2i2i−2i000000000000
χ282-22-22-22-22-22-2222-2-2-22-2-22-22-22000000002-22-20000−2i2i000000−2i2i−2i2i000000000000
χ292-22-22-22-22-22-2222-2-2-2-222-2-22-2200000000-22-220000002i−2i2i−2i2i−2i0000000000000000
χ302-22-22-22-22-22-2222-2-2-2-222-2-22-2200000000-22-22000000−2i2i−2i2i−2i2i0000000000000000
χ312-22-22-2-1-22-221-1-1-11112-2-221-11-100−i3i300−i3i3-11-11−i3−i3i3i32i−2i003−3−33−ii−ii000000000000
χ322-22-22-2-1-22-221-1-1-11112-2-221-11-100−i3i300−i3i3-11-11−i3−i3i3i3−2i2i00−333−3i−ii−i000000000000
χ332-22-22-2-1-22-221-1-1-11112-2-221-11-100i3−i300i3−i3-11-11i3i3−i3−i32i−2i00−333−3−ii−ii000000000000
χ342-22-22-2-1-22-221-1-1-11112-2-221-11-100i3−i300i3−i3-11-11i3i3−i3−i3−2i2i003−3−33i−ii−i000000000000
χ352-22-22-2-1-22-221-1-1-1111-222-21-11-100−i3i300−i3i31-11-1i3i3−i3−i3002i−2i−ii−ii3−3−33000000000000
χ362-22-22-2-1-22-221-1-1-1111-222-21-11-100−i3i300−i3i31-11-1i3i3−i3−i300−2i2ii−ii−i−333−3000000000000
χ372-22-22-2-1-22-221-1-1-1111-222-21-11-100i3−i300i3−i31-11-1−i3−i3i3i3002i−2i−ii−ii−333−3000000000000
χ382-22-22-2-1-22-221-1-1-1111-222-21-11-100i3−i300i3−i31-11-1−i3−i3i3i300−2i2ii−ii−i3−3−33000000000000
χ392-22-2-22222-2-2-2-2-2222-2000022-2-200002i−2i0000002i−2i2i−2i000000000000−i2i2−i2i22−22−20000
χ402-22-2-22222-2-2-2-2-2222-2000022-2-200002i−2i0000002i−2i2i−2i000000000000i2−i2i2−i2−22−220000
χ412-22-2-22222-2-2-2-2-2222-2000022-2-20000−2i2i000000−2i2i−2i2i000000000000−i2i2−i2i2−22−220000
χ422-22-2-22222-2-2-2-2-2222-2000022-2-20000−2i2i000000−2i2i−2i2i000000000000i2−i2i2−i22−22−20000
χ432-22-2-222-2-222-2-2-2222-222-2-2-2-222000000002-2-2200000000000000002i−2i−2i2i00000000
χ442-22-2-222-2-222-2-2-2222-222-2-2-2-222000000002-2-220000000000000000−2i2i2i−2i00000000
χ452-22-2-222-2-222-2-2-2222-2-2-222-2-22200000000-222-2000000000000000000002-2-220000
χ462-22-2-222-2-222-2-2-2222-2-2-222-2-22200000000-222-200000000000000000000-222-20000
χ47444444-2-4-4-4-4-2-2-2-2-2-2-2000022224-4-2-2002200000000000000000000000000000000
χ48444444-2-4-4-4-4-2-2-2-2-2-2-200002222-442200-2-200000000000000000000000000000000
χ494444-4-44-444-44-4-44-4-440000-444-40000000000000000000000000000000000000000
χ504444-4-4-24-4-44-222-222-24-44-4-222-200000000-2-2220000000000000000000000000000
χ514444-4-4-24-4-44-222-222-2-44-44-222-20000000022-2-20000000000000000000000000000
χ524444-4-4-2-444-4-222-222-200002-2-2200000000000023−23−2323000000000000000000000000
χ534444-4-4-2-444-4-222-222-200002-2-22000000000000−232323−23000000000000000000000000
χ544-44-44-444-44-4-4444-4-4-400004-44-40000000000000000000000000000000000000000
χ554-44-44-4-24-44-42-2-2-22220000-22-2200−2i32i3002i3−2i300000000000000000000000000000000
χ564-44-44-4-24-44-42-2-2-22220000-22-22002i3−2i300−2i32i300000000000000000000000000000000
χ574-44-4-44-244-4-4222-2-2-220000-2-22200004i−4i000000−2i2i−2i2i000000000000000000000000
χ584-44-4-44-244-4-4222-2-2-220000-2-2220000−4i4i0000002i−2i2i−2i000000000000000000000000
χ594-44-4-44-2-4-444222-2-2-2244-4-422-2-200000000-222-20000000000000000000000000000
χ604-44-4-44-2-4-444222-2-2-22-4-44422-2-2000000002-2-220000000000000000000000000000
χ6188-8-80080000800-800-8000000000000000000000000000000000000000000000000
χ6288-8-800-40000-4−4i34i34−4i34i34000000000000000000000000000000000000000000000000
χ6388-8-800-40000-44i3−4i344i3−4i34000000000000000000000000000000000000000000000000
χ648-8-880080000-800-8008000000000000000000000000000000000000000000000000
χ658-8-8800-400004−4i34i344i3−4i3-4000000000000000000000000000000000000000000000000
χ668-8-8800-4000044i3−4i34−4i34i3-4000000000000000000000000000000000000000000000000

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