Finite Group Databasebeta

← Group #34539

Character table — Group #34539

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111111111111444444444444444444444444444411111111111111114444444444444444444444444444
order1222222244444444222222444444444444444444444422222222444444442222224444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ51111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ71111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-111
χ1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111
χ1311111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111
χ17222-2-2-2-222222-2-2-2-20000000000000000002i−2i2i−2i000000222-2-2-2-222222-2-2-2-20000000000000000002i−2i2i−2i000000
χ18222-2-2-2-222222-2-2-2-2000000000000000000−2i2i−2i2i000000222-2-2-2-222222-2-2-2-2000000000000000000−2i2i−2i2i000000
χ19222-2-2-2-22-2-2-2-222220000000000000000002i−2i−2i2i000000222-2-2-2-22-2-2-2-222220000000000000000002i−2i−2i2i000000
χ20222-2-2-2-22-2-2-2-22222000000000000000000−2i2i2i−2i000000222-2-2-2-22-2-2-2-22222000000000000000000−2i2i2i−2i000000
χ2122-222-2-2-22i2i−2i−2i2i2i−2i−2i000000000000002-22i−2i000000000022-222-2-2-22i2i−2i−2i2i2i−2i−2i000000000000002-22i−2i0000000000
χ2222-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000000000-22−2i2i000000000022-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000000000-22−2i2i0000000000
χ2322-222-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i2i000000000022-222-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i2i0000000000
χ2422-222-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000-222i−2i000000000022-222-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000-222i−2i0000000000
χ2522-2-2-222-22i2i−2i−2i−2i−2i2i2i2-2000000000000000000002i−2i000022-2-2-222-22i2i−2i−2i−2i−2i2i2i2-2000000000000000000002i−2i0000
χ2622-2-2-222-22i2i−2i−2i−2i−2i2i2i-2200000000000000000000−2i2i000022-2-2-222-22i2i−2i−2i−2i−2i2i2i-2200000000000000000000−2i2i0000
χ2722-2-2-222-2−2i−2i2i2i2i2i−2i−2i2-200000000000000000000−2i2i000022-2-2-222-2−2i−2i2i2i2i2i−2i−2i2-200000000000000000000−2i2i0000
χ2822-2-2-222-2−2i−2i2i2i2i2i−2i−2i-22000000000000000000002i−2i000022-2-2-222-2−2i−2i2i2i2i2i−2i−2i-22000000000000000000002i−2i0000
χ292-222-22-2-22i−2i2i−2i2i−2i2i−2i00000000002-22i−2i000000000000002-222-22-2-22i−2i2i−2i2i−2i2i−2i00000000002-22i−2i00000000000000
χ302-222-22-2-22i−2i2i−2i2i−2i2i−2i0000000000-22−2i2i000000000000002-222-22-2-22i−2i2i−2i2i−2i2i−2i0000000000-22−2i2i00000000000000
χ312-222-22-2-2−2i2i−2i2i−2i2i−2i2i00000000002-2−2i2i000000000000002-222-22-2-2−2i2i−2i2i−2i2i−2i2i00000000002-2−2i2i00000000000000
χ322-222-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000-222i−2i000000000000002-222-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000-222i−2i00000000000000
χ332-22-22-22-22i−2i2i−2i−2i2i−2i2i002-2000000000000000000002i−2i002-22-22-22-22i−2i2i−2i−2i2i−2i2i002-2000000000000000000002i−2i00
χ342-22-22-22-22i−2i2i−2i−2i2i−2i2i00-2200000000000000000000−2i2i002-22-22-22-22i−2i2i−2i−2i2i−2i2i00-2200000000000000000000−2i2i00
χ352-22-22-22-2−2i2i−2i2i2i−2i2i−2i002-200000000000000000000−2i2i002-22-22-22-2−2i2i−2i2i2i−2i2i−2i002-200000000000000000000−2i2i00
χ362-22-22-22-2−2i2i−2i2i2i−2i2i−2i00-22000000000000000000002i−2i002-22-22-22-2−2i2i−2i2i2i−2i2i−2i00-22000000000000000000002i−2i00
χ372-2-22-2-2222-2-222-2-220000002-22-20000000000000000002-2-22-2-2222-2-222-2-220000002-22-2000000000000000000
χ382-2-22-2-2222-2-222-2-22000000-22-220000000000000000002-2-22-2-2222-2-222-2-22000000-22-22000000000000000000
χ392-2-22-2-222-222-2-222-20000002-2-220000000000000000002-2-22-2-222-222-2-222-20000002-2-22000000000000000000
χ402-2-22-2-222-222-2-222-2000000-222-20000000000000000002-2-22-2-222-222-2-222-2000000-222-2000000000000000000
χ412-2-2-222-222-2-22-222-200002-2000000000000000000002-22-2-2-222-222-2-22-222-200002-2000000000000000000002-2
χ422-2-2-222-222-2-22-222-20000-2200000000000000000000-222-2-2-222-222-2-22-222-20000-2200000000000000000000-22
χ432-2-2-222-22-222-22-2-2200002-200000000000000000000-222-2-2-222-22-222-22-2-2200002-200000000000000000000-22
χ442-2-2-222-22-222-22-2-220000-22000000000000000000002-22-2-2-222-22-222-22-2-220000-22000000000000000000002-2
χ4511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4611111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111
χ47111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-1
χ48111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111
χ491111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ501111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111
χ511111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ521111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5311111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111111111
χ5411111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-111-1-11111-1-1
χ5511111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111
χ5611111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1
χ5711111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ5811111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ5911111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111
χ6011111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ61222-2-2-2-222222-2-2-2-20000000000000000002i−2i2i−2i000000-2-2-22222-2-2-2-2-22222000000000000000000−2i2i−2i2i000000
χ62222-2-2-2-222222-2-2-2-2000000000000000000−2i2i−2i2i000000-2-2-22222-2-2-2-2-222220000000000000000002i−2i2i−2i000000
χ63222-2-2-2-22-2-2-2-222220000000000000000002i−2i−2i2i000000-2-2-22222-22222-2-2-2-2000000000000000000−2i2i2i−2i000000
χ64222-2-2-2-22-2-2-2-22222000000000000000000−2i2i2i−2i000000-2-2-22222-22222-2-2-2-20000000000000000002i−2i−2i2i000000
χ6522-222-2-2-22i2i−2i−2i2i2i−2i−2i000000000000002-22i−2i0000000000-2-22-2-2222−2i−2i2i2i−2i−2i2i2i00000000000000-22−2i2i0000000000
χ6622-222-2-2-22i2i−2i−2i2i2i−2i−2i00000000000000-22−2i2i0000000000-2-22-2-2222−2i−2i2i2i−2i−2i2i2i000000000000002-22i−2i0000000000
χ6722-222-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000002-2−2i2i0000000000-2-22-2-22222i2i−2i−2i2i2i−2i−2i00000000000000-222i−2i0000000000
χ6822-222-2-2-2−2i−2i2i2i−2i−2i2i2i00000000000000-222i−2i0000000000-2-22-2-22222i2i−2i−2i2i2i−2i−2i000000000000002-2−2i2i0000000000
χ6922-2-2-222-22i2i−2i−2i−2i−2i2i2i2-2000000000000000000002i−2i0000-2-2222-2-22−2i−2i2i2i2i2i−2i−2i-2200000000000000000000−2i2i0000
χ7022-2-2-222-22i2i−2i−2i−2i−2i2i2i-2200000000000000000000−2i2i0000-2-2222-2-22−2i−2i2i2i2i2i−2i−2i2-2000000000000000000002i−2i0000
χ7122-2-2-222-2−2i−2i2i2i2i2i−2i−2i2-200000000000000000000−2i2i0000-2-2222-2-222i2i−2i−2i−2i−2i2i2i-22000000000000000000002i−2i0000
χ7222-2-2-222-2−2i−2i2i2i2i2i−2i−2i-22000000000000000000002i−2i0000-2-2222-2-222i2i−2i−2i−2i−2i2i2i2-200000000000000000000−2i2i0000
χ732-222-22-2-22i−2i2i−2i2i−2i2i−2i00000000002-22i−2i00000000000000-22-2-22-222−2i2i−2i2i−2i2i−2i2i0000000000-22−2i2i00000000000000
χ742-222-22-2-22i−2i2i−2i2i−2i2i−2i0000000000-22−2i2i00000000000000-22-2-22-222−2i2i−2i2i−2i2i−2i2i00000000002-22i−2i00000000000000
χ752-222-22-2-2−2i2i−2i2i−2i2i−2i2i00000000002-2−2i2i00000000000000-22-2-22-2222i−2i2i−2i2i−2i2i−2i0000000000-222i−2i00000000000000
χ762-222-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000-222i−2i00000000000000-22-2-22-2222i−2i2i−2i2i−2i2i−2i00000000002-2−2i2i00000000000000
χ772-22-22-22-22i−2i2i−2i−2i2i−2i2i002-2000000000000000000002i−2i00-22-22-22-22−2i2i−2i2i2i−2i2i−2i00-2200000000000000000000−2i2i00
χ782-22-22-22-22i−2i2i−2i−2i2i−2i2i00-2200000000000000000000−2i2i00-22-22-22-22−2i2i−2i2i2i−2i2i−2i002-2000000000000000000002i−2i00
χ792-22-22-22-2−2i2i−2i2i2i−2i2i−2i002-200000000000000000000−2i2i00-22-22-22-222i−2i2i−2i−2i2i−2i2i00-22000000000000000000002i−2i00
χ802-22-22-22-2−2i2i−2i2i2i−2i2i−2i00-22000000000000000000002i−2i00-22-22-22-222i−2i2i−2i−2i2i−2i2i002-200000000000000000000−2i2i00
χ812-2-22-2-2222-2-222-2-220000002-22-2000000000000000000-222-222-2-2-222-2-222-2000000-22-22000000000000000000
χ822-2-22-2-2222-2-222-2-22000000-22-22000000000000000000-222-222-2-2-222-2-222-20000002-22-2000000000000000000
χ832-2-22-2-222-222-2-222-20000002-2-22000000000000000000-222-222-2-22-2-222-2-22000000-222-2000000000000000000
χ842-2-22-2-222-222-2-222-2000000-222-2000000000000000000-222-222-2-22-2-222-2-220000002-2-22000000000000000000
χ852-2-2-222-222-2-22-222-200002-2000000000000000000002-2-2222-2-22-2-222-22-2-220000-2200000000000000000000-22
χ862-2-2-222-222-2-22-222-20000-2200000000000000000000-22-2222-2-22-2-222-22-2-2200002-2000000000000000000002-2
χ872-2-2-222-22-222-22-2-2200002-200000000000000000000-22-2222-2-22-22-2-22-222-20000-22000000000000000000002-2
χ882-2-2-222-22-222-22-2-220000-22000000000000000000002-2-2222-2-22-22-2-22-222-200002-200000000000000000000-22

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