Finite Group Databasebeta

← Group #6574875

Character table — Group #6574875

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222444444444881111222244444444488222244448888888881616222244448888888881616222244448888888881616
order12224444244448888242222444424444888824222244442444488882422224444244448888244444444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1
χ3111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1
χ4111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111
χ51111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-1
χ61111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-11
χ71111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-11
χ81111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-1
χ9222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000
χ102222-2-2-2-2200000000002222-2-2-2-2200000000002222-2-2-2-2200000000002222-2-2-2-2200000000002222-2-2-2-220000000000
χ1122-2-2002-20002i−2i00000022-2-2002-20002i−2i00000022-2-2002-20002i−2i00000022-2-2002-20002i−2i00000022-2-2002-20002i−2i000000
χ1222-2-2002-2000−2i2i00000022-2-2002-2000−2i2i00000022-2-2002-2000−2i2i00000022-2-2002-2000−2i2i00000022-2-2002-2000−2i2i000000
χ1322-2-200-2202i−2i0000000022-2-200-2202i−2i0000000022-2-200-2202i−2i0000000022-2-200-2202i−2i0000000022-2-200-2202i−2i00000000
χ1422-2-200-220−2i2i0000000022-2-200-220−2i2i0000000022-2-200-220−2i2i0000000022-2-200-220−2i2i0000000022-2-200-220−2i2i00000000
χ152-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i200
χ162-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i200
χ172-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i200
χ182-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i200
χ194-4-440000000000000004-4-440000000000000004-4-440000000000000004-4-440000000000000004-4-44000000000000000
χ20111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ211111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ22111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ23111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ241111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-1-1-1-1-111-1-11-1-111-1-111-11-1-1-1-111-1-11-1-111-1-111-11
χ251111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-11-1-1-1-111-1-11-1-11111-1-11-1-1-1-1-111-1-11-1-11111-1-11-1
χ261111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-11-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-111-1-1111-1-1-1-1111-1
χ271111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-1-1-1-1-111-1-1111-1-111-1-1-11-1-1-1-111-1-1111-1-111-1-1-11
χ28222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000-2-2-2-2-2-22220000000000
χ292222-2-2-2-2200000000002222-2-2-2-2200000000002222-2-2-2-220000000000-2-2-2-22222-20000000000-2-2-2-22222-20000000000
χ3022-2-2002-20002i−2i00000022-2-2002-20002i−2i00000022-2-2002-20002i−2i000000-2-22200-22000−2i2i000000-2-22200-22000−2i2i000000
χ3122-2-2002-2000−2i2i00000022-2-2002-2000−2i2i00000022-2-2002-2000−2i2i000000-2-22200-220002i−2i000000-2-22200-220002i−2i000000
χ3222-2-200-2202i−2i0000000022-2-200-2202i−2i0000000022-2-200-2202i−2i00000000-2-222002-20−2i2i00000000-2-222002-20−2i2i00000000
χ3322-2-200-220−2i2i0000000022-2-200-220−2i2i0000000022-2-200-220−2i2i00000000-2-222002-202i−2i00000000-2-222002-202i−2i00000000
χ342-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i200-22-22−2i2i0000000−22−i2i200-22-22−2i2i0000000−22−i2i200
χ352-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i200-22-22−2i2i00000002−2i2−i200-22-22−2i2i00000002−2i2−i200
χ362-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i200-22-222i−2i0000000−22i2−i200-22-222i−2i0000000−22i2−i200
χ372-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i200-22-222i−2i00000002−2−i2i200-22-222i−2i00000002−2−i2i200
χ384-4-440000000000000004-4-440000000000000004-4-44000000000000000-444-4000000000000000-444-4000000000000000
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ401111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ41111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ42111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ431111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-1-1-1-1-111-1-11-1-111-1-111-111111-1-111-111-1-111-1-11-1-1-1-1-111-1-11-1-111-1-111-11
χ441111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-11-1-1-1-111-1-11-1-11111-1-11-11111-1-111-111-1-1-1-111-11-1-1-1-111-1-11-1-11111-1-11-1
χ451111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-11-1-1-1-111-1-1111-1-1-1-1111-11111-1-111-1-1-11111-1-1-11-1-1-1-111-1-1111-1-1-1-1111-1
χ461111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-1-1-1-1-111-1-1111-1-111-1-1-111111-1-111-1-1-111-1-1111-1-1-1-1-111-1-1111-1-111-1-1-11
χ47222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000
χ482222-2-2-2-2200000000002222-2-2-2-220000000000-2-2-2-22222-200000000002222-2-2-2-220000000000-2-2-2-22222-20000000000
χ4922-2-2002-20002i−2i00000022-2-2002-20002i−2i000000-2-22200-22000−2i2i00000022-2-2002-20002i−2i000000-2-22200-22000−2i2i000000
χ5022-2-2002-2000−2i2i00000022-2-2002-2000−2i2i000000-2-22200-220002i−2i00000022-2-2002-2000−2i2i000000-2-22200-220002i−2i000000
χ5122-2-200-2202i−2i0000000022-2-200-2202i−2i00000000-2-222002-20−2i2i0000000022-2-200-2202i−2i00000000-2-222002-20−2i2i00000000
χ5222-2-200-220−2i2i0000000022-2-200-220−2i2i00000000-2-222002-202i−2i0000000022-2-200-220−2i2i00000000-2-222002-202i−2i00000000
χ532-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i200-22-22−2i2i0000000−22−i2i2002-22-22i−2i00000002−2i2−i200-22-22−2i2i0000000−22−i2i200
χ542-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i200-22-22−2i2i00000002−2i2−i2002-22-22i−2i0000000−22−i2i200-22-22−2i2i00000002−2i2−i200
χ552-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i200-22-222i−2i0000000−22i2−i2002-22-2−2i2i00000002−2−i2i200-22-222i−2i0000000−22i2−i200
χ562-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i200-22-222i−2i00000002−2−i2i2002-22-2−2i2i0000000−22i2−i200-22-222i−2i00000002−2−i2i200
χ574-4-440000000000000004-4-44000000000000000-444-40000000000000004-4-44000000000000000-444-4000000000000000
χ5811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111
χ591111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1
χ60111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1
χ61111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-1-111
χ621111-1-111-111-1-111-1-11-11111-1-111-111-1-111-1-11-1-1-1-1-111-1-11-1-111-1-111-11-1-1-1-111-1-11-1-111-1-111-111111-1-111-111-1-111-1-11-1
χ631111-1-111-111-1-1-1-111-111111-1-111-111-1-1-1-111-11-1-1-1-111-1-11-1-11111-1-11-1-1-1-1-111-1-11-1-11111-1-11-11111-1-111-111-1-1-1-111-11
χ641111-1-111-1-1-11111-1-1-111111-1-111-1-1-11111-1-1-11-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-111-1-1111-1-1-1-1111-11111-1-111-1-1-11111-1-1-11
χ651111-1-111-1-1-111-1-1111-11111-1-111-1-1-111-1-1111-1-1-1-1-111-1-1111-1-111-1-1-11-1-1-1-111-1-1111-1-111-1-1-111111-1-111-1-1-111-1-1111-1
χ66222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000-2-2-2-2-2-22220000000000222222-2-2-20000000000
χ672222-2-2-2-2200000000002222-2-2-2-220000000000-2-2-2-22222-20000000000-2-2-2-22222-200000000002222-2-2-2-220000000000
χ6822-2-2002-20002i−2i00000022-2-2002-20002i−2i000000-2-22200-22000−2i2i000000-2-22200-22000−2i2i00000022-2-2002-20002i−2i000000
χ6922-2-2002-2000−2i2i00000022-2-2002-2000−2i2i000000-2-22200-220002i−2i000000-2-22200-220002i−2i00000022-2-2002-2000−2i2i000000
χ7022-2-200-2202i−2i0000000022-2-200-2202i−2i00000000-2-222002-20−2i2i00000000-2-222002-20−2i2i0000000022-2-200-2202i−2i00000000
χ7122-2-200-220−2i2i0000000022-2-200-220−2i2i00000000-2-222002-202i−2i00000000-2-222002-202i−2i0000000022-2-200-220−2i2i00000000
χ722-22-22i−2i00000002−2i2−i2002-22-22i−2i00000002−2i2−i200-22-22−2i2i0000000−22−i2i200-22-22−2i2i0000000−22−i2i2002-22-22i−2i00000002−2i2−i200
χ732-22-22i−2i0000000−22−i2i2002-22-22i−2i0000000−22−i2i200-22-22−2i2i00000002−2i2−i200-22-22−2i2i00000002−2i2−i2002-22-22i−2i0000000−22−i2i200
χ742-22-2−2i2i00000002−2−i2i2002-22-2−2i2i00000002−2−i2i200-22-222i−2i0000000−22i2−i200-22-222i−2i0000000−22i2−i2002-22-2−2i2i00000002−2−i2i200
χ752-22-2−2i2i0000000−22i2−i2002-22-2−2i2i0000000−22i2−i200-22-222i−2i00000002−2−i2i200-22-222i−2i00000002−2−i2i2002-22-2−2i2i0000000−22i2−i200
χ764-4-440000000000000004-4-44000000000000000-444-4000000000000000-444-40000000000000004-4-44000000000000000
χ772222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000
χ782222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000000000000
χ79222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000000000000
χ80222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-222222222-2-2000000000000000000000000000000000000000000000000000000000
χ812222-2-222-222-2-222-2-22-2-2-2-2-222-2-22-2-222-2-222-22000000000000000000000000000000000000000000000000000000000
χ822222-2-222-222-2-2-2-222-22-2-2-2-222-2-22-2-22222-2-22-2000000000000000000000000000000000000000000000000000000000
χ832222-2-222-2-2-22222-2-2-22-2-2-2-222-2-2222-2-2-2-2222-2000000000000000000000000000000000000000000000000000000000
χ842222-2-222-2-2-222-2-2222-2-2-2-2-222-2-2222-2-222-2-2-22000000000000000000000000000000000000000000000000000000000
χ85444444-4-4-40000000000-4-4-4-4-4-44440000000000000000000000000000000000000000000000000000000000000000000
χ864444-4-4-4-440000000000-4-4-4-44444-40000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4004-40004i−4i000000-4-44400-44000−4i4i000000000000000000000000000000000000000000000000000000000000000
χ8844-4-4004-4000−4i4i000000-4-44400-440004i−4i000000000000000000000000000000000000000000000000000000000000000
χ8944-4-400-4404i−4i00000000-4-444004-40−4i4i00000000000000000000000000000000000000000000000000000000000000000
χ9044-4-400-440−4i4i00000000-4-444004-404i−4i00000000000000000000000000000000000000000000000000000000000000000
χ914-44-44i−4i000000022−222i2−2i200-44-44−4i4i0000000−2222−2i22i200000000000000000000000000000000000000000000000000000000000
χ924-44-44i−4i0000000−2222−2i22i200-44-44−4i4i000000022−222i2−2i200000000000000000000000000000000000000000000000000000000000
χ934-44-4−4i4i000000022−22−2i22i200-44-444i−4i0000000−22222i2−2i200000000000000000000000000000000000000000000000000000000000
χ944-44-4−4i4i0000000−22222i2−2i200-44-444i−4i000000022−22−2i22i200000000000000000000000000000000000000000000000000000000000
χ958-8-88000000000000000-888-8000000000000000000000000000000000000000000000000000000000000000000000000

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