Finite Group Databasebeta

← Group #10696025

Character table — Group #10696025

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222222224444444444444488888888888888161616161616161616161616242424242424242448484848
order12222234444666444466121212121212121244441212121212121212121288882424242424242424444488884444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ51111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-111-1
χ9222222222-2-22222-2-2-222-2-2-2-222-2-200002-2000000000000000000000000000002-20
χ10222222222-2-22222-2-2-222-2-2-2-222-2-200002-200000000000000000000000000000-220
χ112222222-2-222222-22-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-2000000000000000000000000
χ122222222-2-222222-22-2-2222222-2-2-2-2-2-222-2-2-2-2-2-22222000000000000000000000000
χ132222222-2-2-2-2222-2-22222-2-2-2-2-2-2220000-220000000000000000000022-2-200000000
χ142222222-2-2-2-2222-2-22222-2-2-2-2-2-2220000-2200000000000000000000-2-22200000000
χ15222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ16222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ17222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111122-2-2-1-1-1-11111000000000000
χ18222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111-2-2221111-1-1-1-1000000000000
χ19222222-1-2-222-1-1-1-22-2-2-1-1-1-1-1-1111122-2-211-1-1-1-11111000033−3−333−3−3000000000000
χ20222222-1-2-222-1-1-1-22-2-2-1-1-1-1-1-1111122-2-211-1-1-1-111110000−3−333−3−333000000000000
χ21222222-1-2-222-1-1-1-22-2-2-1-1-1-1-1-11111-2-222111111-1-1-1-1000033−3−3−3−333000000000000
χ22222222-1-2-222-1-1-1-22-2-2-1-1-1-1-1-11111-2-222111111-1-1-1-10000−3−33333−3−3000000000000
χ232222-2-222222222-2-22-2-2-222-2-222-2-20000-22000000002-2002-22-20000000000000000
χ242222-2-222222222-2-22-2-2-222-2-222-2-20000-2200000000-2200-22-220000000000000000
χ252222-2-2222-2-2222-22-22-2-2-2-22222220000-2-20000000000000000000000000000200-2
χ262222-2-2222-2-2222-22-22-2-2-2-22222220000-2-20000000000000000000000000000-2002
χ272222-2-22-2-2222222-2-22-2-222-2-2-2-22200002-200000000002-200002-22-2000000000000
χ282222-2-22-2-2222222-2-22-2-222-2-2-2-22200002-20000000000-220000-22-22000000000000
χ292222-2-22-2-2-2-2222222-2-2-2-2-222-2-2-2-20000220000000000000000000000002i2i−2i−2i0000
χ302222-2-22-2-2-2-2222222-2-2-2-2-222-2-2-2-2000022000000000000000000000000−2i−2i2i2i0000
χ312222-2-2-12222-1-1-1-2-22-211-1-111-1-11100001-133−3−333−3−32-200-11-113−3−33000000000000
χ322222-2-2-12222-1-1-1-2-22-211-1-111-1-11100001-133−3−333−3−3-22001-11-1−333−3000000000000
χ332222-2-2-12222-1-1-1-2-22-211-1-111-1-11100001-1−3−333−3−3332-200-11-11−333−3000000000000
χ342222-2-2-12222-1-1-1-2-22-211-1-111-1-11100001-1−3−333−3−333-22001-11-13−3−33000000000000
χ352222-2-2-1-2-222-1-1-12-2-2211-1-11111-1-10000-1133−3−3−3−333002-2−333−3-11-11000000000000
χ362222-2-2-1-2-222-1-1-12-2-2211-1-11111-1-10000-1133−3−3−3−33300-223−3−331-11-1000000000000
χ372222-2-2-1-2-222-1-1-12-2-2211-1-11111-1-10000-11−3−33333−3−3002-23−3−33-11-11000000000000
χ382222-2-2-1-2-222-1-1-12-2-2211-1-11111-1-10000-11−3−33333−3−300-22−333−31-11-1000000000000
χ39444444-244-4-4-2-2-24-4-4-4-2-22222-2-2220000-2200000000000000000000000000000000
χ40444444-2-4-4-4-4-2-2-2-4-444-2-2222222-2-200002-200000000000000000000000000000000
χ414444-4-4-244-4-4-2-2-2-44-442222-2-2-2-2-2-200002200000000000000000000000000000000
χ424444-4-4-2-4-4-4-4-2-2-2444-42222-2-222220000-2-200000000000000000000000000000000
χ4344-4-40044-4004-4-400000000004-4002-22-2002-22-22-22-2000000000000000000000000
χ4444-4-40044-4004-4-400000000004-400-22-2200-22-22-22-22000000000000000000000000
χ4544-4-4004-44004-4-40000000000-44002-2-22002-22-2-22-22000000000000000000000000
χ4644-4-4004-44004-4-40000000000-4400-222-200-22-222-22-2000000000000000000000000
χ4744-4-400-24-400-2220000000023−23-2223−232-22-200−1+31−3−1−31+3−1+31−3−1−31+3000000000000000000000000
χ4844-4-400-24-400-2220000000023−23-2223−23-22-22001−3−1+31+3−1−31−3−1+31+3−1−3000000000000000000000000
χ4944-4-400-24-400-22200000000−2323-22−23232-22-200−1−31+3−1+31−3−1−31+3−1+31−3000000000000000000000000
χ5044-4-400-24-400-22200000000−2323-22−2323-22-22001+3−1−31−3−1+31+3−1−31−3−1+3000000000000000000000000
χ5144-4-400-2-4400-2220000000023−232-2−23232-2-2200−1+31−3−1−31+31−3−1+31+3−1−3000000000000000000000000
χ5244-4-400-2-4400-2220000000023−232-2−2323-222-2001−3−1+31+3−1−3−1+31−3−1−31+3000000000000000000000000
χ5344-4-400-2-4400-22200000000−23232-223−232-2-2200−1−31+3−1+31−31+3−1−31−3−1+3000000000000000000000000
χ5444-4-400-2-4400-22200000000−23232-223−23-222-2001+3−1−31−3−1+3−1−31+3−1+31−3000000000000000000000000
χ554-44-44-440000-44-400004-4000000000000000000000000000000000000002-22-20000
χ564-44-44-440000-44-400004-400000000000000000000000000000000000000-22-220000
χ574-44-4-4440000-44-40000-44000000000000000000000000000000000000002i−2i−2i2i0000
χ584-44-4-4440000-44-40000-4400000000000000000000000000000000000000−2i2i2i−2i0000
χ594-4-44004004i−4i-4-440000004i−4i000000000000000000000000000000002i−2i2-200000000
χ604-4-44004004i−4i-4-440000004i−4i00000000000000000000000000000000−2i2i-2200000000
χ614-4-4400400−4i4i-4-44000000−4i4i000000000000000000000000000000002i−2i-2200000000
χ624-4-4400400−4i4i-4-44000000−4i4i00000000000000000000000000000000−2i2i2-200000000
χ638-88-88-8-400004-440000-440000000000000000000000000000000000000000000000
χ648-88-8-88-400004-4400004-40000000000000000000000000000000000000000000000
χ658-8-8800-4008i−8i44-4000000−4i4i00000000000000000000000000000000000000000000
χ668-8-8800-400−8i8i44-40000004i−4i00000000000000000000000000000000000000000000

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