Finite Group Databasebeta

← Group #277352

Character table — Group #277352

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-111-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-11-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1111-1-111-1-1-11
χ172222222222-2-22-2-2200000000-22222-222220000-2-2-2-200000000-2-2220000-2-200000000000000000000
χ182222222222-2-22-2-2200000000-22222-2-2-2-2-20000222200000000-2-2-2-200002200000000000000000000
χ192222222222-2-22-2-2200000000-2-2-2-2-2-222220000-2-2-2-20000000022-2-200002200000000000000000000
χ202222222222-2-22-2-2200000000-2-2-2-2-2-2-2-2-2-2000022220000000022220000-2-200000000000000000000
χ2122222222-2-222-222-222222222-20000-20000-2-2-2-2000000000000000022220000000000-2-20000000000
χ2222222222-2-222-222-222222222-20000-20000-2-2-2-20000000000000000-2-2-2-20000000000220000000000
χ2322222222-2-222-222-2-2-2-2-2-2-2-2-2-20000-200002222000000000000000022-2-20000000000-220000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2-2-2-20000-2000022220000000000000000-2-22200000000002-20000000000
χ252222-2-2-2-22-200-20022222−2−2−2−202i2i−2i−2i0000022−2−222-2-22222−2−2−2−2000000002i−2ii2i2−i2−i2i2i2−i2−i2000000000000
χ262222-2-2-2-22-200-20022222−2−2−2−202i2i−2i−2i0000022−2−2-2-222−2−2−2−2222200000000−2i2ii2i2−i2−i2−i2−i2i2i2000000000000
χ272222-2-2-2-22-200-20022222−2−2−2−20−2i−2i2i2i0000022−2−222-2-22222−2−2−2−200000000−2i2i−i2−i2i2i2−i2−i2i2i2000000000000
χ282222-2-2-2-22-200-20022222−2−2−2−20−2i−2i2i2i0000022−2−2-2-222−2−2−2−22222000000002i−2i−i2−i2i2i2i2i2−i2−i2000000000000
χ292222-2-2-2-22-200-2002−2−2−2−2222202i2i−2i−2i00000−2−22222-2-2−2−2−2−22222000000002i−2i−i2−i2i2i2−i2−i2i2i2000000000000
χ302222-2-2-2-22-200-2002−2−2−2−2222202i2i−2i−2i00000−2−222-2-2222222−2−2−2−200000000−2i2i−i2−i2i2i2i2i2−i2−i2000000000000
χ312222-2-2-2-22-200-2002−2−2−2−222220−2i−2i2i2i00000−2−22222-2-2−2−2−2−2222200000000−2i2ii2i2−i2−i2i2i2−i2−i2000000000000
χ322222-2-2-2-22-200-2002−2−2−2−222220−2i−2i2i2i00000−2−222-2-2222222−2−2−2−2000000002i−2ii2i2−i2−i2−i2−i2i2i2000000000000
χ3322-2-222-2-2-2200-200222−2−222−2−202i−2i2i−2i02i2i−2i−2i2−22−20000i2i2−i2−i2i2i2−i2−i2002-2000000i2−i2i2−i22−22−2000000000000
χ3422-2-222-2-2-2200-200222−2−222−2−202i−2i2i−2i0−2i−2i2i2i2−22−20000−i2−i2i2i2−i2−i2i2i200-22000000i2−i2i2−i2−22−22000000000000
χ3522-2-222-2-2-2200-200222−2−222−2−20−2i2i−2i2i02i2i−2i−2i2−22−20000i2i2−i2−i2i2i2−i2−i200-22000000−i2i2−i2i2−22−22000000000000
χ3622-2-222-2-2-2200-200222−2−222−2−20−2i2i−2i2i0−2i−2i2i2i2−22−20000−i2−i2i2i2−i2−i2i2i2002-2000000−i2i2−i2i22−22−2000000000000
χ3722-2-222-2-2-2200-2002−2−222−2−22202i−2i2i−2i02i2i−2i−2i−22−220000−i2−i2i2i2−i2−i2i2i2002-2000000−i2i2−i2i2−22−22000000000000
χ3822-2-222-2-2-2200-2002−2−222−2−22202i−2i2i−2i0−2i−2i2i2i−22−220000i2i2−i2−i2i2i2−i2−i200-22000000−i2i2−i2i22−22−2000000000000
χ3922-2-222-2-2-2200-2002−2−222−2−2220−2i2i−2i2i02i2i−2i−2i−22−220000−i2−i2i2i2−i2−i2i2i200-22000000i2−i2i2−i22−22−2000000000000
χ4022-2-222-2-2-2200-2002−2−222−2−2220−2i2i−2i2i0−2i−2i2i2i−22−220000i2i2−i2−i2i2i2−i2−i2002-2000000i2−i2i2−i2−22−22000000000000
χ4122-2-2-2-22222-2-2-222-222-2-2-2-22220000-20000-222-2000000000000000000000000000000002i−2i2i−2i000000
χ4222-2-2-2-22222-2-2-222-222-2-2-2-22220000-20000-222-200000000000000000000000000000000−2i2i−2i2i000000
χ4322-2-2-2-22222-2-2-222-2-2-22222-2-220000-200002-2-22000000000000000000000000000000002i−2i−2i2i000000
χ4422-2-2-2-22222-2-2-222-2-2-22222-2-220000-200002-2-2200000000000000000000000000000000−2i2i2i−2i000000
χ4522-2-2-2-222-2-2222-2-220000000022-2-22-20000000000002i2i−2i−2i−2i−2i2i2i2-2000000000000−2i2i2i−2i000000000000
χ4622-2-2-2-222-2-2222-2-220000000022-2-22-2000000000000−2i−2i2i2i2i2i−2i−2i2-20000000000002i−2i−2i2i000000000000
χ4722-2-2-2-222-2-2222-2-22000000002-222-2-20000000000002i2i−2i−2i−2i−2i2i2i-220000000000002i−2i−2i2i000000000000
χ4822-2-2-2-222-2-2222-2-22000000002-222-2-2000000000000−2i−2i2i2i2i2i−2i−2i-22000000000000−2i2i2i−2i000000000000
χ4922-2-2-2-222-2-2-2-2222222-2-2-2-222-22-2-22200002-2-22000000000000-22000000002-2-220000000000000000
χ5022-2-2-2-222-2-2-2-2222222-2-2-2-222-2-222-2200002-2-220000000000002-200000000-222-20000000000000000
χ5122-2-2-2-222-2-2-2-22222-2-22222-2-2-22-2-2220000-222-2000000000000-2200000000-222-20000000000000000
χ5222-2-2-2-222-2-2-2-22222-2-22222-2-2-2-222-220000-222-20000000000002-2000000002-2-220000000000000000
χ532-22-22-22-2002-202-202i−2i2i−2i2i−2i2i−2i000000i2−i2i2−i20000i2−i2i2−i22−22−22−22−200002-22i−2i0000000000000000i2−i22−200
χ542-22-22-22-2002-202-202i−2i2i−2i2i−2i2i−2i000000i2−i2i2−i20000i2−i2i2−i22−22−22−22−20000-22−2i2i0000000000000000−i2i2−2200
χ552-22-22-22-2002-202-202i−2i2i−2i2i−2i2i−2i000000−i2i2−i2i20000−i2i2−i2i2−22−22−22−2200002-22i−2i0000000000000000−i2i2−2200
χ562-22-22-22-2002-202-202i−2i2i−2i2i−2i2i−2i000000−i2i2−i2i20000−i2i2−i2i2−22−22−22−220000-22−2i2i0000000000000000i2−i22−200
χ572-22-22-22-2002-202-20−2i2i−2i2i−2i2i−2i2i000000i2−i2i2−i20000i2−i2i2−i2−22−22−22−2200002-2−2i2i0000000000000000i2−i2−2200
χ582-22-22-22-2002-202-20−2i2i−2i2i−2i2i−2i2i000000i2−i2i2−i20000i2−i2i2−i2−22−22−22−220000-222i−2i0000000000000000−i2i22−200
χ592-22-22-22-2002-202-20−2i2i−2i2i−2i2i−2i2i000000−i2i2−i2i20000−i2i2−i2i22−22−22−22−200002-2−2i2i0000000000000000−i2i22−200
χ602-22-22-22-2002-202-20−2i2i−2i2i−2i2i−2i2i000000−i2i2−i2i20000−i2i2−i2i22−22−22−22−20000-222i−2i0000000000000000i2−i2−2200
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-4400400-422222222−22−22−22−220000000000−22−222222000000000000000000000000000000000000000000
χ634444-4-4-4-4-4400400-4−22−22−22−222222222200000000002222−22−22000000000000000000000000000000000000000000
χ6444-4-444-4-44-400400-42222−22−222222−22−220000000000−2222−2222000000000000000000000000000000000000000000
χ6544-4-444-4-44-400400-4−22−222222−22−222222000000000022−2222−22000000000000000000000000000000000000000000
χ6644-4-4-4-4444444-4-4-4-400000000-40000400000000000000000000000000000000000000000000000000
χ674-44-44-44-400-440-440000000000000002i2−2i22i2−2i20000−2i22i2−2i22i200000000000000000000000000000000000000
χ684-44-44-44-400-440-44000000000000000−2i22i2−2i22i200002i2−2i22i2−2i200000000000000000000000000000000000000
χ694-44-4-44-44000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000002i2−2i2−2i22i22-22-2-22-22000000000000000000000000000000
χ704-44-4-44-44000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000−2i22i22i2−2i2-22-222-22-2000000000000000000000000000000
χ714-44-4-44-4400000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000002i2−2i2−2i22i2-22-222-22-2000000000000000000000000000000
χ724-44-4-44-4400000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000−2i22i22i2−2i22-22-2-22-22000000000000000000000000000000
χ734-4-444-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i200000022−22−222200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ744-4-444-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i2000000−222222−22000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ754-4-444-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i200000022−22−2222000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ764-4-444-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i2000000−222222−2200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ774-4-44-444-4004-40-440000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ784-4-44-444-4004-40-44000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ794-4-44-444-400-4404-404i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ804-4-44-444-400-4404-40−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000

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