Finite Group Databasebeta

← Group #312592

Character table — Group #312592

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888444444444488888888224444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ71111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-1-1111-1
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111111-1-1-111-1-1-11
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-111-1-11-1
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-111-1-111-11
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-111-11-1-1-1-111-11
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11-11111-1-11-1
χ17222222222-22-22-22-200000000-22222-222220000-2-2-2-20000000022-2-2-2-2000000000000000000000000
χ18222222222-22-22-22-200000000-22222-2-2-2-2-20000222200000000-2-222-2-2000000000000000000000000
χ19222222222-22-22-22-200000000-2-2-2-2-2-222220000-2-2-2-200000000-2-22222000000000000000000000000
χ20222222222-22-22-22-200000000-2-2-2-2-2-2-2-2-2-2000022220000000022-2-222000000000000000000000000
χ2122222222-22-22-22-2222222222-20000-20000-2-2-2-200000000000000000022220000000000-2-200000000
χ2222222222-22-22-22-2222222222-20000-20000-2-2-2-2000000000000000000-2-2-2-200000000002200000000
χ2322222222-22-22-22-22-2-2-2-2-2-2-2-2-20000-20000222200000000000000000022-2-200000000002-200000000
χ2422222222-22-22-22-22-2-2-2-2-2-2-2-2-20000-200002222000000000000000000-2-2220000000000-2200000000
χ25222-2-2-22-20-20-202022i2i2i2i−2i−2i−2i−2i00000022−2−2000022−2−2i2i2i2i2−i2−i2−i2−i20000002-22i−2i000000000000002−2i2−i200
χ26222-2-2-22-20-20-202022i2i2i2i−2i−2i−2i−2i00000022−2−2000022−2−2i2i2i2i2−i2−i2−i2−i2000000-22−2i2i00000000000000−22−i2i200
χ27222-2-2-22-20-20-202022i2i2i2i−2i−2i−2i−2i000000−2−2220000−2−222−i2−i2−i2−i2i2i2i2i20000002-22i−2i00000000000000−22−i2i200
χ28222-2-2-22-20-20-202022i2i2i2i−2i−2i−2i−2i000000−2−2220000−2−222−i2−i2−i2−i2i2i2i2i2000000-22−2i2i000000000000002−2i2−i200
χ29222-2-2-22-20-20-20202−2i−2i−2i−2i2i2i2i2i00000022−2−2000022−2−2−i2−i2−i2−i2i2i2i2i20000002-2−2i2i000000000000002−2−i2i200
χ30222-2-2-22-20-20-20202−2i−2i−2i−2i2i2i2i2i00000022−2−2000022−2−2−i2−i2−i2−i2i2i2i2i2000000-222i−2i00000000000000−22i2−i200
χ31222-2-2-22-20-20-20202−2i−2i−2i−2i2i2i2i2i000000−2−2220000−2−222i2i2i2i2−i2−i2−i2−i20000002-2−2i2i00000000000000−22i2−i200
χ32222-2-2-22-20-20-20202−2i−2i−2i−2i2i2i2i2i000000−2−2220000−2−222i2i2i2i2−i2−i2−i2−i2000000-222i−2i000000000000002−2−i2i200
χ3322-22-22-2-2-20-20202022−2−222−2−202i2i−2i−2i02i−2i2i−2i22−2−20000i2i2−i2−i2i2i2−i2−i22-200000000i2i2−i2−i222−2−2000000000000
χ3422-22-22-2-2-20-20202022−2−222−2−202i2i−2i−2i0−2i2i−2i2i22−2−20000−i2−i2i2i2−i2−i2i2i2-2200000000i2i2−i2−i2−2−222000000000000
χ3522-22-22-2-2-20-20202022−2−222−2−20−2i−2i2i2i02i−2i2i−2i22−2−20000i2i2−i2−i2i2i2−i2−i2-2200000000−i2−i2i2i2−2−222000000000000
χ3622-22-22-2-2-20-20202022−2−222−2−20−2i−2i2i2i0−2i2i−2i2i22−2−20000−i2−i2i2i2−i2−i2i2i22-200000000−i2−i2i2i222−2−2000000000000
χ3722-22-22-2-2-20-202020−2−222−2−22202i2i−2i−2i02i−2i2i−2i−2−2220000−i2−i2i2i2−i2−i2i2i22-200000000−i2−i2i2i2−2−222000000000000
χ3822-22-22-2-2-20-202020−2−222−2−22202i2i−2i−2i0−2i2i−2i2i−2−2220000i2i2−i2−i2i2i2−i2−i2-2200000000−i2−i2i2i222−2−2000000000000
χ3922-22-22-2-2-20-202020−2−222−2−2220−2i−2i2i2i02i−2i2i−2i−2−2220000−i2−i2i2i2−i2−i2i2i2-2200000000i2i2−i2−i222−2−2000000000000
χ4022-22-22-2-2-20-202020−2−222−2−2220−2i−2i2i2i0−2i2i−2i2i−2−2220000i2i2−i2−i2i2i2−i2−i22-200000000i2i2−i2−i2−2−222000000000000
χ412-222-2-2-22-202020-20i2−i2i2−i2i2−i2i2−i202-22-200000i2−i2i2−i22i−2i2i−2i2−22−22−22−2002i−2i000000i2−i2i2−i22−22−2000000000000
χ422-222-2-2-22-202020-20i2−i2i2−i2i2−i2i2−i202-22-200000i2−i2i2−i2−2i2i−2i2i−22−22−22−2200−2i2i000000i2−i2i2−i2−22−22000000000000
χ432-222-2-2-22-202020-20i2−i2i2−i2i2−i2i2−i20-22-2200000i2−i2i2−i22i−2i2i−2i2−22−22−22−200−2i2i000000−i2i2−i2i2−22−22000000000000
χ442-222-2-2-22-202020-20i2−i2i2−i2i2−i2i2−i20-22-2200000i2−i2i2−i2−2i2i−2i2i−22−22−22−22002i−2i000000−i2i2−i2i22−22−2000000000000
χ452-222-2-2-22-202020-20−i2i2−i2i2−i2i2−i2i202-22-200000−i2i2−i2i22i−2i2i−2i−22−22−22−22002i−2i000000−i2i2−i2i2−22−22000000000000
χ462-222-2-2-22-202020-20−i2i2−i2i2−i2i2−i2i202-22-200000−i2i2−i2i2−2i2i−2i2i2−22−22−22−200−2i2i000000−i2i2−i2i22−22−2000000000000
χ472-222-2-2-22-202020-20−i2i2−i2i2−i2i2−i2i20-22-2200000−i2i2−i2i22i−2i2i−2i−22−22−22−2200−2i2i000000i2−i2i2−i22−22−2000000000000
χ482-222-2-2-22-202020-20−i2i2−i2i2−i2i2−i2i20-22-2200000−i2i2−i2i2−2i2i−2i2i2−22−22−22−2002i−2i000000i2−i2i2−i2−22−22000000000000
χ492-2-222-22-222-2-222-2-22i−2i−2i2i2i−2i−2i2i-22i−2i−2i2i200002i−2i−2i2i00000000000000002i−2i0000-222-20000000000000000
χ502-2-222-22-222-2-222-2-22i−2i−2i2i2i−2i−2i2i-2−2i2i2i−2i200002i−2i−2i2i0000000000000000−2i2i00002-2-220000000000000000
χ512-2-222-22-222-2-222-2-2−2i2i2i−2i−2i2i2i−2i-22i−2i−2i2i20000−2i2i2i−2i00000000000000002i−2i00002-2-220000000000000000
χ522-2-222-22-222-2-222-2-2−2i2i2i−2i−2i2i2i−2i-2−2i2i2i−2i20000−2i2i2i−2i0000000000000000−2i2i0000-222-20000000000000000
χ532-2-222-22-22-2-222-2-220000000022i−2i−2i2i-20000000000002i−2i−2i2i2i−2i−2i2i0000−2i2i000000002-2-22000000000000
χ542-2-222-22-22-2-222-2-220000000022i−2i−2i2i-2000000000000−2i2i2i−2i−2i2i2i−2i0000−2i2i00000000-222-2000000000000
χ552-2-222-22-22-2-222-2-22000000002−2i2i2i−2i-20000000000002i−2i−2i2i2i−2i−2i2i00002i−2i00000000-222-2000000000000
χ562-2-222-22-22-2-222-2-22000000002−2i2i2i−2i-2000000000000−2i2i2i−2i−2i2i2i−2i00002i−2i000000002-2-22000000000000
χ572-2-222-22-2-222-2-222-22i−2i−2i2i2i−2i−2i2i20000-20000−2i2i2i−2i0000000000000000000000000000002-2002i−2i000000
χ582-2-222-22-2-222-2-222-22i−2i−2i2i2i−2i−2i2i20000-20000−2i2i2i−2i000000000000000000000000000000-2200−2i2i000000
χ592-2-222-22-2-222-2-222-2−2i2i2i−2i−2i2i2i−2i20000-200002i−2i−2i2i0000000000000000000000000000002-200−2i2i000000
χ602-2-222-22-2-222-2-222-2−2i2i2i−2i−2i2i2i−2i20000-200002i−2i−2i2i000000000000000000000000000000-22002i−2i000000
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ62444-4-4-44-404040-40-4000000000000002222−22−220000−22−22222200000000000000000000000000000000000000
χ63444-4-4-44-404040-40-400000000000000−22−22222200002222−22−2200000000000000000000000000000000000000
χ6444-44-44-4-44040-40-402222−22−222222−22−220000000000−22−222222000000000000000000000000000000000000000000
χ6544-44-44-4-44040-40-40−22−222222−22−22222200000000002222−22−22000000000000000000000000000000000000000000
χ6644-4-44-4-44000000002i22i2−2i2−2i2−2i2−2i22i22i20000002i2−2i2−2i22i200000000-2-22222-2-2000000000000000000000000000000
χ6744-4-44-4-44000000002i22i2−2i2−2i2−2i2−2i22i22i2000000−2i22i22i2−2i20000000022-2-2-2-222000000000000000000000000000000
χ6844-4-44-4-4400000000−2i2−2i22i22i22i22i2−2i2−2i20000002i2−2i2−2i22i20000000022-2-2-2-222000000000000000000000000000000
χ6944-4-44-4-4400000000−2i2−2i22i22i22i22i2−2i2−2i2000000−2i22i22i2−2i200000000-2-22222-2-2000000000000000000000000000000
χ704-444-4-4-4440-40-40402i2−2i22i2−2i22i2−2i22i2−2i20000000000−2i22i2−2i22i2000000000000000000000000000000000000000000
χ714-444-4-4-4440-40-4040−2i22i2−2i22i2−2i22i2−2i22i200000000002i2−2i22i2−2i2000000000000000000000000000000000000000000
χ724-44-444-4-40000000022−2222−22−2222−2222000000000000002i2−2i2−2i22i2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ734-44-444-4-40000000022−2222−22−2222−222200000000000000−2i22i22i2−2i22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ744-44-444-4-400000000−2222−222222−2222−22000000000000002i2−2i2−2i22i22i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ754-44-444-4-400000000−2222−222222−2222−2200000000000000−2i22i22i2−2i2−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ764-4-444-44-4-4-444-4-44400000000-40000400000000000000000000000000000000000000000000000000
χ774-4-4-4-4444040-40-4040000000000000000000000000022−22−2222−222222−22000000000000000000000000000000
χ784-4-4-4-4444040-40-40400000000000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ794-4-4-4-44440-404040-44-4-44-444-400000000000000000000000000000000000000000000000000000000
χ804-4-4-4-44440-404040-4-444-44-4-4400000000000000000000000000000000000000000000000000000000

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