Finite Group Databasebeta

← Group #313636

Character table — Group #313636

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888224444444488888888224444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
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
χ71111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-11
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-11-1
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-111111-1-11-1
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-111-11
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-11-1-1-1-1111-1
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-11111-1-1-11
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1111111-11-1-111-1-1-11
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-11-111-1-1111-1
χ17222222222-22-22-22-200000000-22222-200002222-2-2-2-200000000-2-2-2-200220000000000000000000000
χ18222222222-22-22-22-200000000-22222-20000-2-2-2-2222200000000-2-22200-2-20000000000000000000000
χ19222222222-22-22-22-200000000-2-2-2-2-2-200002222-2-2-2-200000000222200-2-20000000000000000000000
χ20222222222-22-22-22-200000000-2-2-2-2-2-20000-2-2-2-222220000000022-2-200220000000000000000000000
χ2122222222-22-22-22-2222222222-20000-2-2-2-2-2000000000000000000002200220000000000-2-200000000
χ2222222222-22-22-22-2222222222-20000-2-2-2-2-200000000000000000000-2-200-2-200000000002200000000
χ2322222222-22-22-22-22-2-2-2-2-2-2-2-2-20000-22222000000000000000000002200-2-200000000002-200000000
χ2422222222-22-22-22-22-2-2-2-2-2-2-2-2-20000-2222200000000000000000000-2-200220000000000-2200000000
χ25222-2-22-2-220-20-2020i2i2i2i2−i2−i2−i2−i202i2i−2i−2i0i2i2−i2−i2000022-2-2i2i2i2i2−i2−i2−i2−i2002i−2i00000022−2−222−2−2000000000000
χ26222-2-22-2-220-20-2020i2i2i2i2−i2−i2−i2−i202i2i−2i−2i0i2i2−i2−i20000-2-222−i2−i2−i2−i2i2i2i2i200−2i2i000000−2−22222−2−2000000000000
χ27222-2-22-2-220-20-2020i2i2i2i2−i2−i2−i2−i20−2i−2i2i2i0i2i2−i2−i2000022-2-2i2i2i2i2−i2−i2−i2−i200−2i2i000000−2−222−2−222000000000000
χ28222-2-22-2-220-20-2020i2i2i2i2−i2−i2−i2−i20−2i−2i2i2i0i2i2−i2−i20000-2-222−i2−i2−i2−i2i2i2i2i2002i−2i00000022−2−2−2−222000000000000
χ29222-2-22-2-220-20-2020−i2−i2−i2−i2i2i2i2i202i2i−2i−2i0−i2−i2i2i2000022-2-2−i2−i2−i2−i2i2i2i2i2002i−2i000000−2−222−2−222000000000000
χ30222-2-22-2-220-20-2020−i2−i2−i2−i2i2i2i2i202i2i−2i−2i0−i2−i2i2i20000-2-222i2i2i2i2−i2−i2−i2−i200−2i2i00000022−2−2−2−222000000000000
χ31222-2-22-2-220-20-2020−i2−i2−i2−i2i2i2i2i20−2i−2i2i2i0−i2−i2i2i2000022-2-2−i2−i2−i2−i2i2i2i2i200−2i2i00000022−2−222−2−2000000000000
χ32222-2-22-2-220-20-2020−i2−i2−i2−i2i2i2i2i20−2i−2i2i2i0−i2−i2i2i20000-2-222i2i2i2i2−i2−i2−i2−i2002i−2i000000−2−22222−2−2000000000000
χ3322-22-2-2-222020-20-2022−2−222−2−202i−2i2i−2i02−22−222-2-2000022−2−222−2−20000002i−2i00i2−i2i2−i2i2−i2i2−i2000000000000
χ3422-22-2-2-222020-20-2022−2−222−2−202i−2i2i−2i02−22−2-2-2220000−2−222−2−222000000−2i2i00−i2i2−i2i2i2−i2i2−i2000000000000
χ3522-22-2-2-222020-20-2022−2−222−2−20−2i2i−2i2i02−22−222-2-2000022−2−222−2−2000000−2i2i00−i2i2−i2i2−i2i2−i2i2000000000000
χ3622-22-2-2-222020-20-2022−2−222−2−20−2i2i−2i2i02−22−2-2-2220000−2−222−2−2220000002i−2i00i2−i2i2−i2−i2i2−i2i2000000000000
χ3722-22-2-2-222020-20-20−2−222−2−22202i−2i2i−2i0−22−2222-2-20000−2−222−2−2220000002i−2i00−i2i2−i2i2−i2i2−i2i2000000000000
χ3822-22-2-2-222020-20-20−2−222−2−22202i−2i2i−2i0−22−22-2-222000022−2−222−2−2000000−2i2i00i2−i2i2−i2−i2i2−i2i2000000000000
χ3922-22-2-2-222020-20-20−2−222−2−2220−2i2i−2i2i0−22−2222-2-20000−2−222−2−222000000−2i2i00i2−i2i2−i2i2−i2i2−i2000000000000
χ4022-22-2-2-222020-20-20−2−222−2−2220−2i2i−2i2i0−22−22-2-222000022−2−222−2−20000002i−2i00−i2i2−i2i2i2−i2i2−i2000000000000
χ4122-2-22-22-222-2-222-2-22i2i−2i−2i−2i−2i2i2i-22-2-2222i−2i−2i2i00000000000000002-2000000000000−2i2i2i−2i000000000000
χ4222-2-22-22-222-2-222-2-22i2i−2i−2i−2i−2i2i2i-2-222-222i−2i−2i2i0000000000000000-220000000000002i−2i−2i2i000000000000
χ4322-2-22-22-222-2-222-2-2−2i−2i2i2i2i2i−2i−2i-22-2-222−2i2i2i−2i00000000000000002-20000000000002i−2i−2i2i000000000000
χ4422-2-22-22-222-2-222-2-2−2i−2i2i2i2i2i−2i−2i-2-222-22−2i2i2i−2i0000000000000000-22000000000000−2i2i2i−2i000000000000
χ4522-2-22-22-22-2-222-2-220000000022-2-22-20000000000002i2i−2i−2i−2i−2i2i2i-2200000000−2i2i2i−2i0000000000000000
χ4622-2-22-22-22-2-222-2-220000000022-2-22-2000000000000−2i−2i2i2i2i2i−2i−2i-22000000002i−2i−2i2i0000000000000000
χ4722-2-22-22-22-2-222-2-22000000002-222-2-20000000000002i2i−2i−2i−2i−2i2i2i2-2000000002i−2i−2i2i0000000000000000
χ4822-2-22-22-22-2-222-2-22000000002-222-2-2000000000000−2i−2i2i2i2i2i−2i−2i2-200000000−2i2i2i−2i0000000000000000
χ4922-2-22-22-2-222-2-222-22i2i−2i−2i−2i−2i2i2i20000-2−2i2i2i−2i00000000000000000000000000000000002-2002i−2i000000
χ5022-2-22-22-2-222-2-222-22i2i−2i−2i−2i−2i2i2i20000-2−2i2i2i−2i0000000000000000000000000000000000-2200−2i2i000000
χ5122-2-22-22-2-222-2-222-2−2i−2i2i2i2i2i−2i−2i20000-22i−2i−2i2i00000000000000000000000000000000002-200−2i2i000000
χ5222-2-22-22-2-222-2-222-2−2i−2i2i2i2i2i−2i−2i20000-22i−2i−2i2i0000000000000000000000000000000000-22002i−2i000000
χ532-2-22-222-202020-20-22i−2i2i−2i2i−2i2i−2i00000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200002i−2i002-2000000000000002−2i2−i200
χ542-2-22-222-202020-20-22i−2i2i−2i2i−2i2i−2i00000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000−2i2i00-2200000000000000−22−i2i200
χ552-2-22-222-202020-20-22i−2i2i−2i2i−2i2i−2i0000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i200002i−2i002-200000000000000−22−i2i200
χ562-2-22-222-202020-20-22i−2i2i−2i2i−2i2i−2i0000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000−2i2i00-22000000000000002−2i2−i200
χ572-2-22-222-202020-20-2−2i2i−2i2i−2i2i−2i2i00000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i200002i−2i00-2200000000000000−22i2−i200
χ582-2-22-222-202020-20-2−2i2i−2i2i−2i2i−2i2i00000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000−2i2i002-2000000000000002−2−i2i200
χ592-2-22-222-202020-20-2−2i2i−2i2i−2i2i−2i2i0000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i200002i−2i00-22000000000000002−2−i2i200
χ602-2-22-222-202020-20-2−2i2i−2i2i−2i2i−2i2i0000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000−2i2i002-200000000000000−22i2−i200
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ62444-4-44-4-4-404040-402i22i22i22i2−2i2−2i2−2i2−2i2000000−2i2−2i22i22i20000000000000000000000000000000000000000000000
χ63444-4-44-4-4-404040-40−2i2−2i2−2i2−2i22i22i22i22i20000002i22i2−2i2−2i20000000000000000000000000000000000000000000000
χ6444-44-4-4-44-40-4040402222−22−222222−22−22000000−2222−22220000000000000000000000000000000000000000000000
χ6544-44-4-4-44-40-404040−22−222222−22−22222200000022−2222−220000000000000000000000000000000000000000000000
χ6644-4-44-44-4-4-444-4-44400000000-40000400000000000000000000000000000000000000000000000000
χ674-4444-4-4-4000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000022−22−222200002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ684-4444-4-4-4000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000−222222−220000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ694-4444-4-4-400000000−2i22i22i2−2i2−2i22i22i2−2i2000000000022−22−22220000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ704-4444-4-4-400000000−2i22i22i2−2i2−2i22i22i2−2i20000000000−222222−2200002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ714-44-4-4-444040-40-4044-4-44-444-400000000000000000000000000000000000000000000000000000000
χ724-44-4-4-444040-40-404-444-44-4-4400000000000000000000000000000000000000000000000000000000
χ734-44-4-4-4440-404040-40000000000000000000000000022−22−2222−222222−22000000000000000000000000000000
χ744-44-4-4-4440-404040-400000000000000000000000000−222222−2222−22−2222000000000000000000000000000000
χ754-4-44-444-40-40-4040400000000000000000022−2222−22−2222−222200000000000000000000000000000000000000
χ764-4-44-444-40-40-40404000000000000000000−2222−222222−2222−2200000000000000000000000000000000000000
χ774-4-4-444-440000000022−2222−22−2222−22220000000000000022−22−22222-22-2-22-22000000000000000000000000000000
χ784-4-4-444-440000000022−2222−22−2222−222200000000000000−222222−22-22-222-22-2000000000000000000000000000000
χ794-4-4-444-4400000000−2222−222222−2222−220000000000000022−22−2222-22-222-22-2000000000000000000000000000000
χ804-4-4-444-4400000000−2222−222222−2222−2200000000000000−222222−222-22-2-22-22000000000000000000000000000000

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