Finite Group Databasebeta

← Group #10877406

Character table — Group #10877406

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order12222222344444444666666622888888881212121212121212888888884444661212121212121212242424242424242444444444888824661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1
χ91111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-11111-1-1-11
χ101111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-1-1-1111-1
χ111111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-11-1-111-1-1111-1
χ121111111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111111-111-1-111-1-1-11
χ131111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11-111-1-111-1-11-1
χ141111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-11-1-111-1-111-11
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111111-111-1-1-1-111-11
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-11-1-11111-1-11-1
χ17222222222-22222-2-2-22222222-2-200000000-2-22222-2-2000000000000-2-200000000000000002222-2-2-2-20000000000000000
χ18222222222-22222-2-2-22222222-2-200000000-2-22222-2-2000000000000-2-20000000000000000-2-2-2-222220000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-200000000000022000000000000000022-2-2-2-2220000000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2000000000000220000000000000000-2-22222-2-20000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-11111-1-10000000022-2-211-1-1-1-11111-1-1-1-11111000000000000-2211-1-1000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-11111-1-100000000-2-222111111-1-1-1-1-1-1-1-111110000000000002-2-1-111000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-10000000022-2-211-1-1-1-111111111-1-1-1-10000000000002-2-1-111000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-100000000-2-222111111-1-1-1-11111-1-1-1-1000000000000-2211-1-1000000
χ29222-2-2-22-22-200002-2222-22-2-2-200000000002-200002-22222-2-2-2-22i−2i00002i2i−2i−2i0000000000000000000000000000002i−2i0000
χ30222-2-2-22-22-200002-2222-22-2-2-200000000002-200002-22222-2-2-2-2−2i2i0000−2i−2i2i2i000000000000000000000000000000−2i2i0000
χ31222-2-2-22-22-200002-2222-22-2-2-200000000002-200002-2-2-2-2-222222i−2i00002i2i−2i−2i000000000000000000000000000000−2i2i0000
χ32222-2-2-22-22-200002-2222-22-2-2-200000000002-200002-2-2-2-2-22222−2i2i0000−2i−2i2i2i0000000000000000000000000000002i−2i0000
χ3322-22-2-2-222200002-2-2-2-2-2222-20000000000-2200002-22i2i−2i−2i2i2i−2i−2i002-200000022-2-200000000000000000000000000002i−2i00
χ3422-22-2-2-222200002-2-2-2-2-2222-20000000000-2200002-22i2i−2i−2i2i2i−2i−2i00-22000000-2-2220000000000000000000000000000−2i2i00
χ3522-22-2-2-222200002-2-2-2-2-2222-20000000000-2200002-2−2i−2i2i2i−2i−2i2i2i002-200000022-2-20000000000000000000000000000−2i2i00
χ3622-22-2-2-222200002-2-2-2-2-2222-20000000000-2200002-2−2i−2i2i2i−2i−2i2i2i00-22000000-2-22200000000000000000000000000002i−2i00
χ3722-2-222-2-22222-2-2-2-22-2-222-2-222-22i2i−2i−2i2i2i−2i−2i2222-2-2-2-20000000000002-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3822-2-222-2-22222-2-2-2-22-2-222-2-222-2−2i−2i2i2i−2i−2i2i2i2222-2-2-2-20000000000002-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3922-2-222-2-222-2-222-2-22-2-222-2-22-222i2i−2i−2i−2i−2i2i2i22-2-222-2-2000000000000-22000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4022-2-222-2-222-2-222-2-22-2-222-2-22-22−2i−2i2i2i2i2i−2i−2i22-2-222-2-2000000000000-2200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4122-2-222-2-22-222-2-222-2-2-222-2-22-2200000000-2-222-2-2222i2i−2i−2i−2i−2i2i2i0000-220000000000000000000000002i2i−2i−2i000000000000
χ4222-2-222-2-22-222-2-222-2-2-222-2-22-2200000000-2-222-2-222−2i−2i2i2i2i2i−2i−2i0000-22000000000000000000000000−2i−2i2i2i000000000000
χ4322-2-222-2-22-2-2-22222-2-2-222-2-222-200000000-2-2-2-222222i2i−2i−2i−2i−2i2i2i00002-2000000000000000000000000−2i−2i2i2i000000000000
χ4422-2-222-2-22-2-2-22222-2-2-222-2-222-200000000-2-2-2-22222−2i−2i2i2i2i2i−2i−2i00002-20000000000000000000000002i2i−2i−2i000000000000
χ4522-2-222-2-2-1222-2-2-2-2211-1-111-12-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111000000000000-113−33−33−33−3−i−iii−i−iii00000000000000−i3i3−i3i3000000
χ4622-2-222-2-2-1222-2-2-2-2211-1-111-12-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111000000000000-11−33−33−33−33−i−iii−i−iii00000000000000i3−i3i3−i3000000
χ4722-2-222-2-2-1222-2-2-2-2211-1-111-12-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111000000000000-113−33−33−33−3ii−i−iii−i−i00000000000000i3−i3i3−i3000000
χ4822-2-222-2-2-1222-2-2-2-2211-1-111-12-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111000000000000-11−33−33−33−33ii−i−iii−i−i00000000000000−i3i3−i3i3000000
χ4922-2-222-2-2-12-2-222-2-2211-1-111-1-222i2i−2i−2i−2i−2i2i2i-1-111-1-1110000000000001-13−33−3−33−33−i−iiiii−i−i00000000000000i3−i3−i3i3000000
χ5022-2-222-2-2-12-2-222-2-2211-1-111-1-222i2i−2i−2i−2i−2i2i2i-1-111-1-1110000000000001-1−33−333−33−3−i−iiiii−i−i00000000000000−i3i3i3−i3000000
χ5122-2-222-2-2-12-2-222-2-2211-1-111-1-22−2i−2i2i2i2i2i−2i−2i-1-111-1-1110000000000001-13−33−3−33−33ii−i−i−i−iii00000000000000−i3i3i3−i3000000
χ5222-2-222-2-2-12-2-222-2-2211-1-111-1-22−2i−2i2i2i2i2i−2i−2i-1-111-1-1110000000000001-1−33−333−33−3ii−i−i−i−iii00000000000000i3−i3−i3i3000000
χ532-22-22-2-22202i−2i2i−2i0002-22-22-2-2002−22−2−i2i2−i2i2002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i2000000000000002−22−2−i2i2−i2i200002i−2i2-22−22−2000000000000
χ542-22-22-2-22202i−2i2i−2i0002-22-22-2-2002−22−2−i2i2−i2i2002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i2000000000000002−22−2−i2i2−i2i20000−2i2i-22−22−22000000000000
χ552-22-22-2-22202i−2i2i−2i0002-22-22-2-200−22−22i2−i2i2−i2002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i200000000000000−22−22i2−i2i2−i20000−2i2i-222−22−2000000000000
χ562-22-22-2-22202i−2i2i−2i0002-22-22-2-200−22−22i2−i2i2−i2002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i200000000000000−22−22i2−i2i2−i200002i−2i2-2−22−22000000000000
χ572-22-22-2-2220−2i2i−2i2i0002-22-22-2-2002−22−2i2−i2i2−i200−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i2000000000000002−22−2i2−i2i2−i200002i−2i-22−22−22000000000000
χ582-22-22-2-2220−2i2i−2i2i0002-22-22-2-2002−22−2i2−i2i2−i200−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i2000000000000002−22−2i2−i2i2−i20000−2i2i2-22−22−2000000000000
χ592-22-22-2-2220−2i2i−2i2i0002-22-22-2-200−22−22−i2i2−i2i200−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i200000000000000−22−22−i2i2−i2i20000−2i2i2-2−22−22000000000000
χ602-22-22-2-2220−2i2i−2i2i0002-22-22-2-200−22−22−i2i2−i2i200−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i200000000000000−22−22−i2i2−i2i200002i−2i-222−22−2000000000000
χ612-2-222-22-2202i−2i−2i2i000-222-2-22-200−i2i2i2−i2−222−2002i−2i−2i2i002−2−22−222−200000000000000−i2i2i2−i2−222−22i−2i2-20000i2−i2−i2i2000000000000
χ622-2-222-22-2202i−2i−2i2i000-222-2-22-200−i2i2i2−i2−222−2002i−2i−2i2i00−222−22−2−2200000000000000−i2i2i2−i2−222−2−2i2i-220000−i2i2i2−i2000000000000
χ632-2-222-22-2202i−2i−2i2i000-222-2-22-200i2−i2−i2i22−2−22002i−2i−2i2i002−2−22−222−200000000000000i2−i2−i2i22−2−22−2i2i-220000i2−i2−i2i2000000000000
χ642-2-222-22-2202i−2i−2i2i000-222-2-22-200i2−i2−i2i22−2−22002i−2i−2i2i00−222−22−2−2200000000000000i2−i2−i2i22−2−222i−2i2-20000−i2i2i2−i2000000000000
χ652-2-222-22-220−2i2i2i−2i000-222-2-22-200−i2i2i2−i22−2−2200−2i2i2i−2i002−2−22−222−200000000000000−i2i2i2−i22−2−222i−2i-220000−i2i2i2−i2000000000000
χ662-2-222-22-220−2i2i2i−2i000-222-2-22-200−i2i2i2−i22−2−2200−2i2i2i−2i00−222−22−2−2200000000000000−i2i2i2−i22−2−22−2i2i2-20000i2−i2−i2i2000000000000
χ672-2-222-22-220−2i2i2i−2i000-222-2-22-200i2−i2−i2i2−222−200−2i2i2i−2i002−2−22−222−200000000000000i2−i2−i2i2−222−2−2i2i2-20000−i2i2i2−i2000000000000
χ682-2-222-22-220−2i2i2i−2i000-222-2-22-200i2−i2−i2i2−222−200−2i2i2i−2i00−222−22−2−2200000000000000i2−i2−i2i2−222−22i−2i-220000i2−i2−i2i2000000000000
χ6944444444-2-44444-4-4-4-2-2-2-2-2-2-2-4-40000000022-2-2-2-222000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2440000000022222222000000000000-2-20000000000000000000000000000000000000000
χ71444-4-4-44-4440000-44-444-44-4-4-40000000000-440000-44000000000000000000000000000000000000000000000000000000
χ72444-4-4-44-4-240000-44-4-2-22-222200000000002-200002-200000000000000000023−23−232300000000000000000000000000000000
χ73444-4-4-44-4-240000-44-4-2-22-222200000000002-200002-2000000000000000000−232323−2300000000000000000000000000000000
χ74444-4-4-44-4-2-400004-44-2-22-22220000000000-220000-22000000004i−4i0000−2i−2i2i2i000000000000000000000000000000000000
χ75444-4-4-44-4-2-400004-44-2-22-22220000000000-220000-2200000000−4i4i00002i2i−2i−2i000000000000000000000000000000000000
χ7644-44-4-4-444-40000-444-4-4-4444-400000000004-40000-44000000000000000000000000000000000000000000000000000000
χ7744-44-4-4-44-2400004-4-4222-2-2-2200000000002-20000-2200000000004-4000000-2-22200000000000000000000000000000000
χ7844-44-4-4-44-2400004-4-4222-2-2-2200000000002-20000-220000000000-4400000022-2-200000000000000000000000000000000
χ7944-44-4-4-44-2-40000-444222-2-2-220000000000-2200002-200000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ8044-44-4-4-44-2-40000-444222-2-2-220000000000-2200002-2000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ8144-4-444-4-4-2-444-4-444-422-2-222-2-440000000022-2-222-2-20000000000002-20000000000000000000000000000000000000000
χ8244-4-444-4-4-2-4-4-44444-422-2-222-24-4000000002222-2-2-2-2000000000000-220000000000000000000000000000000000000000
χ834-444-44-4-44000000004-4-4-4-444000000000000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ844-444-44-4-44000000004-4-4-4-4440000000000000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ854-44-44-4-44-204i−4i4i−4i000-22-22-2220022−2222−22−2i22i2−2i22i200−2i2i−2i2i000000000000000000000000−22−22i2−i2i2−i2000000000000000000000000
χ864-44-44-4-44-204i−4i4i−4i000-22-22-22200−2222−22222i2−2i22i2−2i200−2i2i−2i2i0000000000000000000000002−22−2−i2i2−i2i2000000000000000000000000
χ874-44-44-4-44-20−4i4i−4i4i000-22-22-2220022−2222−222i2−2i22i2−2i2002i−2i2i−2i000000000000000000000000−22−22−i2i2−i2i2000000000000000000000000
χ884-44-44-4-44-20−4i4i−4i4i000-22-22-22200−2222−2222−2i22i2−2i22i2002i−2i2i−2i0000000000000000000000002−22−2i2−i2i2−i2000000000000000000000000
χ894-4-444-44-4-204i−4i−4i4i0002-2-222-2200−2i22i22i2−2i2−222222−2200−2i2i2i−2i000000000000000000000000i2−i2−i2i22−2−22000000000000000000000000
χ904-4-444-44-4-204i−4i−4i4i0002-2-222-22002i2−2i2−2i22i222−22−222200−2i2i2i−2i000000000000000000000000−i2i2i2−i2−222−2000000000000000000000000
χ914-4-444-44-4-20−4i4i4i−4i0002-2-222-2200−2i22i22i2−2i222−22−2222002i−2i−2i2i000000000000000000000000i2−i2−i2i2−222−2000000000000000000000000
χ924-4-444-44-4-20−4i4i4i−4i0002-2-222-22002i2−2i2−2i22i2−222222−22002i−2i−2i2i000000000000000000000000−i2i2i2−i22−2−22000000000000000000000000
χ934-4-4-4-4444400000000-44-4-44-4400000000000000000022−22−222222−22−22220000000000000000000000000000000000000000000000
χ944-4-4-4-4444400000000-44-4-44-44000000000000000000−222222−22−222222−220000000000000000000000000000000000000000000000
χ958-888-88-8-8-400000000-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8-8-8888-4000000004-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000

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