Finite Group Databasebeta

← Group #7607462

Character table — Group #7607462

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222444444444444444444444444444488888888888888888888888888881616161616161616
order12222222444444444444888888882244444444444444888888888888224444444444444444448888888822244444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111
χ411111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1
χ511111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-11
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1111-1
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1111-1-1-11
χ91111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ101111111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111
χ121111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111111-1-11-1-1-1-1
χ131111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-11111-1
χ141111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-11
χ151111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-11-1
χ161111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-11
χ1711111111-1-1-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1111111111-111-1-111-1-111-1-111-1-1-11-1-11-1-1-1
χ1811111111-1-1-1-11111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-111-1-11-111-1111
χ1911111111-1-1-1-11111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111111111-11-1-111-1-111-1-111-1-111-1-11-1-11-1-1
χ2011111111-1-1-1-11111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-11111-111-111
χ2111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-1-11-111-1-1-1-111-1-111-1-111-11-11-11-11
χ2211111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-111111-1-1-11111-1-1-1-111-1-1111-11-11-11-1
χ2311111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-111111-1-1-1-1-11-1-11111-1-111-1-111-1-1-1-1111-1-11
χ2411111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-11-1-1-1-11111-1111-1-1-1-11111-1-111-1-111-1-1-111-1
χ2511111111-1-1-1-11-1-1-1-11111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1111-111-1-111-1-111-1-1-1-1111-111-11-1-1
χ2611111111-1-1-1-11-1-1-1-11111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-11-1-1-111-1-11111-1-1-1-111-11-1-11-111
χ2711111111-1-1-1-11-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111-11-1-111-1-111-1-11111-1-111-111-1-1-1
χ2811111111-1-1-1-11-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1111-1-111-1-1-1-11111-1-1-1-11-1-1111
χ2911111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-1111-1-111-1-11-111-1-1-1-111-1-11111-1-11-11-11-1-11
χ3011111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111111111-1-1-1-1-11-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-11-11-111-1
χ3111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-11-111-1-111-1-1-11-1-11111-1-111-1-1-1-11111-1-1-11-11
χ3211111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-11-1-1-111-1-111-1111-1-1-1-11111-1-1-1-111-1-1111-11-1
χ33222222222222-22222-2-2-200000000-2-2-2-22222222222-2-2000000000000-2-200000000-2-2000000000000000000000000
χ34222222222222-22222-2-2-200000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2000000000000220000000022000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-20000000022222222-2-2-2-2-2-2-2-20000000000002200000000-2-2000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-2-2-22222-2-2000000000000-2-20000000022000000000000000000000000
χ3722222222-2-2-2-2-22222-2-2-20000000022-2-222-2-2-2-222-2-222000000000000-2200000000-22000000000000000000000000
χ3822222222-2-2-2-2-22222-2-2-20000000022-2-2-2-222-2-2-2-222220000000000002-2000000002-2000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-22222-2-222-2-222220000000000002-200000000-22000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-222-2-2222222-2-222000000000000-22000000002-2000000000000000000000000
χ4122-2-222-2-2000022i2i−2i−2i-2-222222-2-2-2-2002i−2i00000000000000002i2i−2i−2i0000002-22i−2i2i−2i2-200000000000000000000000000
χ4222-2-222-2-2000022i2i−2i−2i-2-222222-2-2-2-2002i−2i00000000000000002i2i−2i−2i000000-22−2i2i−2i2i-2200000000000000000000000000
χ4322-2-222-2-2000022i2i−2i−2i-2-22-2-2-2-22222002i−2i0000000000000000−2i−2i2i2i0000002-22i−2i−2i2i-2200000000000000000000000000
χ4422-2-222-2-2000022i2i−2i−2i-2-22-2-2-2-22222002i−2i0000000000000000−2i−2i2i2i000000-22−2i2i2i−2i2-200000000000000000000000000
χ4522-2-222-2-200002−2i−2i2i2i-2-222222-2-2-2-200−2i2i0000000000000000−2i−2i2i2i0000002-2−2i2i−2i2i2-200000000000000000000000000
χ4622-2-222-2-200002−2i−2i2i2i-2-222222-2-2-2-200−2i2i0000000000000000−2i−2i2i2i000000-222i−2i2i−2i-2200000000000000000000000000
χ4722-2-222-2-200002−2i−2i2i2i-2-22-2-2-2-2222200−2i2i00000000000000002i2i−2i−2i0000002-2−2i2i2i−2i-2200000000000000000000000000
χ4822-2-222-2-200002−2i−2i2i2i-2-22-2-2-2-2222200−2i2i00000000000000002i2i−2i−2i000000-222i−2i−2i2i2-200000000000000000000000000
χ492-2222-2-2-222-2-202i−2i2i−2i00022−2−222−2−200002-22-22i−2i2i−2i2i−2i0022−2−2i2−i2i2−i2i2i2−i2−i2000000000000000000002−22−2i2−i2i2−i200000000
χ502-2222-2-2-222-2-202i−2i2i−2i00022−2−222−2−20000-22-222i−2i−2i2i−2i2i0022−2−2i2−i2i2−i2i2i2−i2−i200000000000000000000−22−22−i2i2−i2i200000000
χ512-2222-2-2-222-2-202i−2i2i−2i000−2−222−2−22200002-22-22i−2i2i−2i2i−2i00−2−222−i2i2−i2i2−i2−i2i2i200000000000000000000−22−22−i2i2−i2i200000000
χ522-2222-2-2-222-2-202i−2i2i−2i000−2−222−2−2220000-22-222i−2i−2i2i−2i2i00−2−222−i2i2−i2i2−i2−i2i2i2000000000000000000002−22−2i2−i2i2−i200000000
χ532-2222-2-2-222-2-20−2i2i−2i2i00022−2−222−2−200002-22-2−2i2i−2i2i−2i2i0022−2−2−i2i2−i2i2−i2−i2i2i2000000000000000000002−22−2−i2i2−i2i200000000
χ542-2222-2-2-222-2-20−2i2i−2i2i00022−2−222−2−20000-22-22−2i2i2i−2i2i−2i0022−2−2−i2i2−i2i2−i2−i2i2i200000000000000000000−22−22i2−i2i2−i200000000
χ552-2222-2-2-222-2-20−2i2i−2i2i000−2−222−2−22200002-22-2−2i2i−2i2i−2i2i00−2−222i2−i2i2−i2i2i2−i2−i200000000000000000000−22−22i2−i2i2−i200000000
χ562-2222-2-2-222-2-20−2i2i−2i2i000−2−222−2−2220000-22-22−2i2i2i−2i2i−2i00−2−222i2−i2i2−i2i2i2−i2−i2000000000000000000002−22−2−i2i2−i2i200000000
χ572-2222-2-2-2-2-22202i−2i2i−2i00022−2−222−2−200002-2-22−2i2i2i−2i−2i2i00−2−222i2−i2i2−i2−i2−i2i2i2000000000000000000002−2−22i2−i2−i2i200000000
χ582-2222-2-2-2-2-22202i−2i2i−2i00022−2−222−2−20000-222-2−2i2i−2i2i2i−2i00−2−222i2−i2i2−i2−i2−i2i2i200000000000000000000−222−2−i2i2i2−i200000000
χ592-2222-2-2-2-2-22202i−2i2i−2i000−2−222−2−22200002-2-22−2i2i2i−2i−2i2i0022−2−2−i2i2−i2i2i2i2−i2−i200000000000000000000−222−2−i2i2i2−i200000000
χ602-2222-2-2-2-2-22202i−2i2i−2i000−2−222−2−2220000-222-2−2i2i−2i2i2i−2i0022−2−2−i2i2−i2i2i2i2−i2−i2000000000000000000002−2−22i2−i2−i2i200000000
χ612-2222-2-2-2-2-2220−2i2i−2i2i00022−2−222−2−200002-2-222i−2i−2i2i2i−2i00−2−222−i2i2−i2i2i2i2−i2−i2000000000000000000002−2−22−i2i2i2−i200000000
χ622-2222-2-2-2-2-2220−2i2i−2i2i00022−2−222−2−20000-222-22i−2i2i−2i−2i2i00−2−222−i2i2−i2i2i2i2−i2−i200000000000000000000−222−2i2−i2−i2i200000000
χ632-2222-2-2-2-2-2220−2i2i−2i2i000−2−222−2−22200002-2-222i−2i−2i2i2i−2i0022−2−2i2−i2i2−i2−i2−i2i2i200000000000000000000−222−2i2−i2−i2i200000000
χ642-2222-2-2-2-2-2220−2i2i−2i2i000−2−222−2−2220000-222-22i−2i2i−2i−2i2i0022−2−2i2−i2i2−i2−i2−i2i2i2000000000000000000002−2−22−i2i2i2−i200000000
χ652-22-2-222-22-22-2200002-2-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i000000000000000000002-22-22i−2i2i−2i0000000000000000
χ662-22-2-222-22-22-2200002-2-22i−2i2i−2i2i−2i2i−2i000000000000002-22i−2i2i−2i00000000000000000000-22-22−2i2i−2i2i0000000000000000
χ672-22-2-222-22-22-2200002-2-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i000000000000000000002-22-2−2i2i−2i2i0000000000000000
χ682-22-2-222-22-22-2200002-2-2−2i2i−2i2i−2i2i−2i2i000000000000002-2−2i2i−2i2i00000000000000000000-22-222i−2i2i−2i0000000000000000
χ692-22-2-222-2-22-22200002-2-22i−2i2i−2i2i−2i2i−2i00000000000000-22−2i2i−2i2i000000000000000000002-2-222i−2i−2i2i0000000000000000
χ702-22-2-222-2-22-22200002-2-22i−2i2i−2i2i−2i2i−2i00000000000000-22−2i2i−2i2i00000000000000000000-222-2−2i2i2i−2i0000000000000000
χ712-22-2-222-2-22-22200002-2-2−2i2i−2i2i−2i2i−2i2i00000000000000-222i−2i2i−2i000000000000000000002-2-22−2i2i2i−2i0000000000000000
χ722-22-2-222-2-22-22200002-2-2−2i2i−2i2i−2i2i−2i2i00000000000000-222i−2i2i−2i00000000000000000000-222-22i−2i−2i2i0000000000000000
χ73444-4-4-4-444-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ74444-4-4-4-444-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ75444-4-4-4-44-444-4000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ76444-4-4-4-44-444-400000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ7744-44-4-44-40000000000002i2−2i2−2i22i2−2i22i22i2−2i24-400000000000000000000002i2−2i22i2−2i2000000000000000000000000000000000000
χ7844-44-4-44-40000000000002i2−2i2−2i22i2−2i22i22i2−2i2-440000000000000000000000−2i22i2−2i22i2000000000000000000000000000000000000
χ7944-44-4-44-4000000000000−2i22i22i2−2i22i2−2i2−2i22i24-40000000000000000000000−2i22i2−2i22i2000000000000000000000000000000000000
χ8044-44-4-44-4000000000000−2i22i22i2−2i22i2−2i2−2i22i2-4400000000000000000000002i2−2i22i2−2i2000000000000000000000000000000000000
χ8144-4-444-4-40000-44i4i−4i−4i44-40000000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-40000-4−4i−4i4i4i44-400000000004i−4i000000000000000000000000000000000000000000000000000000000000
χ834-44-4-444-44-44-4-40000-4440000000000000000000000-44000000000000000000000000000000000000000000000000
χ844-44-4-444-4-44-44-40000-44400000000000000000000004-4000000000000000000000000000000000000000000000000
χ854-4-44-44-44000040000-44-44i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ864-4-44-44-44000040000-44-4−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ874-4-44-44-440000-400004-44000000000000000000000000000000004-4-44000000000000000000000000000000000000
χ884-4-44-44-440000-400004-4400000000000000000000000000000000-444-4000000000000000000000000000000000000
χ894-4-4-44-444000004-4-440002222−22−22−22−2222220000000000000000000022−22−22220000000000000000000000000000000000000000
χ904-4-4-44-444000004-4-44000−22−2222222222−22−2200000000000000000000−222222−220000000000000000000000000000000000000000
χ914-4-4-44-44400000-444-40002222−22−22−22−22222200000000000000000000−222222−220000000000000000000000000000000000000000
χ924-4-4-44-44400000-444-4000−22−2222222222−22−220000000000000000000022−22−22220000000000000000000000000000000000000000

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