Finite Group Databasebeta

← Group #287247

Character table — Group #287247

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444888888888888888822444444488888888888888882244888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111111-1-1-1-11111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111111-1-111111111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11-1
χ101111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-11
χ111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11111111111-1-1-1-1-1-11111-1-1-11
χ121111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1111-1
χ131111111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11
χ141111111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ151111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-11
χ17222222222-2222222-2-22-222-2-2-2-200000000000000002222-2-2-2-2-200000000000000000000000000
χ18222222222-2222222-2-22-222-2-2-2-20000000000000000-2-2-2-22222-200000000000000000000000000
χ19222222222-2-2-2-2-222-2-22-2-2-222-2-2000000000000000022-2-222-2-2200000000000000000000000000
χ20222222222-2-2-2-2-222-2-22-2-2-222-2-20000000000000000-2-222-2-222200000000000000000000000000
χ2122222222-222222-2-222-22-2-222-2-2222222220000000000000000-2-2-200000000-2-200000000000000
χ2222222222-222222-2-222-22-2-222-2-2-2-2-2-2-2-2-2-20000000000000000-222000000002200000000000000
χ2322222222-22-2-2-2-2-2-222-2222-2-2-2-22222-2-2-2-2000000000000000022200000000-2-200000000000000
χ2422222222-22-2-2-2-2-2-222-2222-2-2-2-2-2-2-2-2222200000000000000002-2-2000000002200000000000000
χ2522222222-2-22222-2-2-2-2-2-2-2-2-2-222000000002i2i2i2i−2i−2i−2i−2i000000002002i2i−2i−2i00000000000000000000
χ2622222222-2-22222-2-2-2-2-2-2-2-2-2-22200000000−2i−2i−2i−2i2i2i2i2i00000000200−2i−2i2i2i00000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000002i2i2i2i−2i−2i−2i−2i00000000-200−2i−2i2i2i00000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000−2i−2i−2i−2i2i2i2i2i00000000-2002i2i−2i−2i00000000000000000000
χ2922-22-2-22-20-22i2i−2i−2i00220-2002i−2i0022-2-22i2i−2i−2i00000000000000000000000i2i2−i2−i20022−2−20000i2−i22−200
χ3022-22-2-22-20-22i2i−2i−2i00220-2002i−2i0022-2-22i2i−2i−2i00000000000000000000000−i2−i2i2i200−2−2220000−i2i2−2200
χ3122-22-2-22-20-22i2i−2i−2i00220-2002i−2i00-2-222−2i−2i2i2i00000000000000000000000i2i2−i2−i20022−2−20000−i2i2−2200
χ3222-22-2-22-20-22i2i−2i−2i00220-2002i−2i00-2-222−2i−2i2i2i00000000000000000000000−i2−i2i2i200−2−2220000i2−i22−200
χ3322-22-2-22-20-2−2i−2i2i2i00220-200−2i2i0022-2-2−2i−2i2i2i00000000000000000000000i2i2−i2−i200−2−2220000i2−i2−2200
χ3422-22-2-22-20-2−2i−2i2i2i00220-200−2i2i0022-2-2−2i−2i2i2i00000000000000000000000−i2−i2i2i20022−2−20000−i2i22−200
χ3522-22-2-22-20-2−2i−2i2i2i00220-200−2i2i00-2-2222i2i−2i−2i00000000000000000000000i2i2−i2−i200−2−2220000−i2i22−200
χ3622-22-2-22-20-2−2i−2i2i2i00220-200−2i2i00-2-2222i2i−2i−2i00000000000000000000000−i2−i2i2i20022−2−20000i2−i2−2200
χ372-22-22-22-2202i−2i2i−2i-2-200202i−2i00002−22−2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-22i−2i00000i2−i22−22−200002−200000000000000
χ382-22-22-22-2202i−2i2i−2i-2-200202i−2i00002−22−2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2-22−2i2i00000i2−i2−22−2200002−200000000000000
χ392-22-22-22-2202i−2i2i−2i-2-200202i−2i0000−22−22−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2-22−2i2i00000−i2i22−22−20000−2200000000000000
χ402-22-22-22-2202i−2i2i−2i-2-200202i−2i0000−22−22−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-22i−2i00000−i2i2−22−220000−2200000000000000
χ412-22-22-22-220−2i2i−2i2i-2-20020−2i2i00002−22−2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2-222i−2i00000−i2i2−22−2200002−200000000000000
χ422-22-22-22-220−2i2i−2i2i-2-20020−2i2i00002−22−2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-2−2i2i00000−i2i22−22−200002−200000000000000
χ432-22-22-22-220−2i2i−2i2i-2-20020−2i2i0000−22−22i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-2−2i2i00000i2−i2−22−220000−2200000000000000
χ442-22-22-22-220−2i2i−2i2i-2-20020−2i2i0000−22−22i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2-222i−2i00000i2−i22−22−20000−2200000000000000
χ452-22-22-22-2-202i−2i2i−2i2200-20−2i2i00002−22−2i2−i2i2−i222−2−2−2−22200002-22i−2i0−i2i2−i2i2i2−i20000−2200000000000000
χ462-22-22-22-2-202i−2i2i−2i2200-20−2i2i00002−22−2i2−i2i2−i2−2−22222−2−20000-22−2i2i0−i2i2i2−i2−i2i20000−2200000000000000
χ472-22-22-22-2-202i−2i2i−2i2200-20−2i2i0000−22−22−i2i2−i2i222−2−2−2−2220000-22−2i2i0i2−i2−i2i2i2−i200002−200000000000000
χ482-22-22-22-2-202i−2i2i−2i2200-20−2i2i0000−22−22−i2i2−i2i2−2−22222−2−200002-22i−2i0i2−i2i2−i2−i2i200002−200000000000000
χ492-22-22-22-2-20−2i2i−2i2i2200-202i−2i00002−22−2−i2i2−i2i222−2−2−2−22200002-2−2i2i0i2−i2i2−i2−i2i20000−2200000000000000
χ502-22-22-22-2-20−2i2i−2i2i2200-202i−2i00002−22−2−i2i2−i2i2−2−22222−2−20000-222i−2i0i2−i2−i2i2i2−i20000−2200000000000000
χ512-22-22-22-2-20−2i2i−2i2i2200-202i−2i0000−22−22i2−i2i2−i222−2−2−2−2220000-222i−2i0−i2i2i2−i2−i2i200002−200000000000000
χ522-22-22-22-2-20−2i2i−2i2i2200-202i−2i0000−22−22i2−i2i2−i2−2−22222−2−200002-2−2i2i0−i2i2−i2i2i2−i200002−200000000000000
χ532-2-2222-2-22-200002-22-2-2200002-2000000002-22-22-22-20000000000000000000002i−2i2i−2i002i−2i000000
χ542-2-2222-2-22-200002-22-2-2200002-2000000002-22-22-22-2000000000000000000000−2i2i−2i2i00−2i2i000000
χ552-2-2222-2-22-200002-22-2-2200002-200000000-22-22-22-220000000000000000000002i−2i2i−2i00−2i2i000000
χ562-2-2222-2-22-200002-22-2-2200002-200000000-22-22-22-22000000000000000000000−2i2i−2i2i002i−2i000000
χ572-2-2222-2-2-220000-22-222-200002-2000000002i−2i2i−2i−2i2i−2i2i0000000000000002i−2i2i−2i0000002-200000000
χ582-2-2222-2-2-220000-22-222-200002-2000000002i−2i2i−2i−2i2i−2i2i000000000000000−2i2i−2i2i000000-2200000000
χ592-2-2222-2-2-220000-22-222-200002-200000000−2i2i−2i2i2i−2i2i−2i0000000000000002i−2i2i−2i000000-2200000000
χ602-2-2222-2-2-220000-22-222-200002-200000000−2i2i−2i2i2i−2i2i−2i000000000000000−2i2i−2i2i0000002-200000000
χ6144-44-4-44-4044i4i−4i−4i00-4-40400−4i4i00000000000000000000000000000000000000000000000000000
χ6244-44-4-44-404−4i−4i4i4i00-4-404004i−4i00000000000000000000000000000000000000000000000000000
χ6344-4-44-4-44400000-4400-40000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000
χ6444-4-44-4-44400000-4400-4000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000
χ6544-4-44-4-44-4000004-400400000000000000022−22−2222−222222−2200000000000000000000000000000000000
χ6644-4-44-4-44-4000004-4004000000000000000−222222−2222−22−222200000000000000000000000000000000000
χ674-444-4-4-44040000004-40-400000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ684-444-4-4-44040000004-40-40000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ694-444-4-4-440-4000000-4404000000000000000000000000000000000000022−22−22220000000000000000
χ704-444-4-4-440-4000000-44040000000000000000000000000000000000000−222222−220000000000000000
χ714-4-4444-4-44400004-4-44-4-40000-44000000000000000000000000000000000000000000000000000
χ724-4-4444-4-4-4-40000-444-4440000-44000000000000000000000000000000000000000000000000000
χ734-4-4-4-4444004-4-4400000000000022−22−222222−22−22220000000000000000000000000000000000000000000
χ744-4-4-4-4444004-4-44000000000000−222222−22−222222−220000000000000000000000000000000000000000000
χ754-4-4-4-444400-444-400000000000022−22−2222−222222−220000000000000000000000000000000000000000000
χ764-4-4-4-444400-444-4000000000000−222222−2222−22−22220000000000000000000000000000000000000000000
χ77888-8-88-8-8000000000000000000000000000000000000000000000000000000000000000000000

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