Finite Group Databasebeta

← Group #140264

Character table — Group #140264

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order124422244488888888881616161616161616444444888816161616161616161616161616161616161616164488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ911-1-1-1-11-111-1-11111-1-11-1iiii−i−i−i−iii−i−i1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-11-1i−i
χ1011-1-1-1-11-111-1-11111-1-11-1iiii−i−i−i−iii−i−i1-1ii−i−i1111-1-1-1-1ii−i−i−i−iii-1-111-11−ii
χ1111-1-1-1-11-111-1-11111-1-11-1iiii−i−i−i−i−i−iii1-1−i−iii-1-1-1-11111ii−i−iii−i−i11-1-1-11−ii
χ1211-1-1-1-11-111-1-11111-1-11-1iiii−i−i−i−i−i−iii1-1−i−iii-1-1-1-11111ii−i−i−i−iii-1-1111-1i−i
χ1311-1-1-1-11-111-1-11111-1-11-1−i−i−i−iiiiiii−i−i1-1ii−i−i-1-1-1-11111−i−iiiii−i−i-1-1111-1−ii
χ1411-1-1-1-11-111-1-11111-1-11-1−i−i−i−iiiiiii−i−i1-1ii−i−i-1-1-1-11111−i−iii−i−iii11-1-1-11i−i
χ1511-1-1-1-11-111-1-11111-1-11-1−i−i−i−iiiii−i−iii1-1−i−iii1111-1-1-1-1−i−iiiii−i−i-1-111-11i−i
χ1611-1-1-1-11-111-1-11111-1-11-1−i−i−i−iiiii−i−iii1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-11-1−ii
χ17222222222222222-2-22-2-2222222220000-2-2000000000000-2-2-2-2000000000000
χ18222222222222222-2-22-2-2-2-2-2-2-2-2-2-20000-2-20000000000002222000000000000
χ192222222222-2-2-2-2-222-222000000002222-2-2-2-2-2-2000000000000000000000000
χ202222222222-2-2-2-2-222-22200000000-2-2-2-2-2-22222000000000000000000000000
χ212222222222-2-2-2-2-2-2-2-2-2-20000000000002200002i2i−2i−2i2i2i−2i−2i0000000000000000
χ222222222222-2-2-2-2-2-2-2-2-2-2000000000000220000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ2322222-2-2-22-2000002-20-22i2i2−i2−i2i2i2−i2−i22i−2i2i−2i0000002−22−22−22−2i2−i2i2−i2000000000000
χ2422222-2-2-22-2000002-20-22i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i000000−22−22−22−22i2−i2i2−i2000000000000
χ2522222-2-2-22-2000002-20-22−i2−i2i2i2−i2−i2i2i22i−2i2i−2i000000−22−22−22−22−i2i2−i2i2000000000000
χ2622222-2-2-22-2000002-20-22−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i0000002−22−22−22−2−i2i2−i2i2000000000000
χ2722222-2-2-22-200000-2202-2i2i2−i2−i2i2i2−i2−i20000002-22-2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2000000000000
χ2822222-2-2-22-200000-2202-2i2i2−i2−i2i2i2−i2−i2000000-22-22−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2000000000000
χ2922222-2-2-22-200000-2202-2−i2−i2i2i2−i2−i2i2i20000002-22-2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2000000000000
χ3022222-2-2-22-200000-2202-2−i2−i2i2i2−i2−i2i2i2000000-22-22i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2000000000000
χ312222-22-2-2-22-2-2-2-22002002i−2i2i−2i2i−2i2i−2i0000000000000000000000i2−i2i2−i22−22−20000
χ322222-22-2-2-22-2-2-2-22002002i−2i2i−2i2i−2i2i−2i0000000000000000000000−i2i2−i2i2−22−220000
χ332222-22-2-2-22-2-2-2-2200200−2i2i−2i2i−2i2i−2i2i0000000000000000000000i2−i2i2−i2−22−220000
χ342222-22-2-2-22-2-2-2-2200200−2i2i−2i2i−2i2i−2i2i0000000000000000000000−i2i2−i2i22−22−20000
χ3522-2-22-2-22-2222-2-2200-2002-22-2-22-2200000000000000000000002−2−222−2−220000
χ3622-2-22-2-22-2222-2-2200-2002-22-2-22-220000000000000000000000−222−2−222−20000
χ3722-2-22-2-22-2222-2-2200-200-22-222-22-200000000000000000000002−2−22−222−20000
χ3822-2-22-2-22-2222-2-2200-200-22-222-22-20000000000000000000000−222−22−2−220000
χ3922-2-2-22-222-200000220-2-222−2−2−2−2222-2-220000002−22−2−22−222−2−22000000000000
χ4022-2-2-22-222-200000220-2-222−2−2−2−222-222-2000000−22−222−22−22−2−22000000000000
χ4122-2-2-22-222-200000220-2-2−2−22222−2−22-2-22000000−22−222−22−2−222−2000000000000
χ4222-2-2-22-222-200000220-2-2−2−22222−2−2-222-20000002−22−2−22−22−222−2000000000000
χ4322-2-2-22-222-200000-2-202222−2−2−2−2220000002i−2i−2i2i−i2i2i2−i2i2−i2−i2i2−222−2000000000000
χ4422-2-2-22-222-200000-2-202222−2−2−2−222000000−2i2i2i−2ii2−i2−i2i2−i2i2i2−i2−222−2000000000000
χ4522-2-2-22-222-200000-2-2022−2−22222−2−20000002i−2i−2i2ii2−i2−i2i2−i2i2i2−i22−2−22000000000000
χ4622-2-2-22-222-200000-2-2022−2−22222−2−2000000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i22−2−22000000000000
χ4722-2-2-2-22-22222-2-2-22-222-2000000002i2i−2i−2i-22−2i−2i2i2i000000000000000000000000
χ4822-2-2-2-22-22222-2-2-22-222-200000000−2i−2i2i2i-222i2i−2i−2i000000000000000000000000
χ4922-2-2-2-22-22222-2-2-2-222-220000000000002-200002i2i−2i−2i−2i−2i2i2i0000000000000000
χ5022-2-2-2-22-22222-2-2-2-222-220000000000002-20000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ5122-2-2-2-22-222-2-2222-22-2-222i2i2i2i−2i−2i−2i−2i0000-22000000000000−2i−2i2i2i000000000000
χ5222-2-2-2-22-222-2-2222-22-2-22−2i−2i−2i−2i2i2i2i2i0000-220000000000002i2i−2i−2i000000000000
χ534444-44-4-4-444444-400-400000000000000000000000000000000000000000000
χ544444-4-444-4-4000000000022−22−222222−22−22220000000000000000000000000000000000
χ554444-4-444-4-40000000000−222222−22−222222−220000000000000000000000000000000000
χ5644-4-4444-4-4-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ5744-4-4444-4-4-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ5844-4-44-4-44-44-4-444-400400000000000000000000000000000000000000000000
χ598-88i−8i0000004i2−4i242−42000000000000000000000000000000000000000000000000
χ608-88i−8i000000−4i24i2−4242000000000000000000000000000000000000000000000000
χ618-8−8i8i0000004i2−4i2−4242000000000000000000000000000000000000000000000000
χ628-8−8i8i000000−4i24i242−42000000000000000000000000000000000000000000000000

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