Finite Group Databasebeta

← Group #10877389

Character table — Group #10877389

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order12222222222234444666666644666688888888121212128888888844441212121212121212121224242424242424244444444488884412121212444424
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
χ5111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1
χ911111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-111-1-11-1
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-111-1-111-11
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111111-111-1-1-1-111-11
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-11-1-11111-1-11-1
χ1311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-11-1-11111-1-1-11
χ1411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11-111-1-1-1-1111-1
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-11-1-111-1-1111-1
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111111-111-1-111-1-1-11
χ172222222222222-2-2-2-22222222-2-2222200000000-2-2-2-2000000000000-2-200000000000000002222-2-2-2-20000000000000000
χ182222222222222-2-2-2-22222222-2-2222200000000-2-2-2-2000000000000-2-20000000000000000-2-2-2-222220000000000000000
χ19222222222222-12222-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ20222222222222-12222-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-100000000-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ21222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ22222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2322222222-2-2-2-22-2-2-2-2222222222-2-2-2-200000000-2-2-2-200000000000022000000000000000022-2-2-2-2220000000000000000
χ2422222222-2-2-2-22-2-2-2-2222222222-2-2-2-200000000-2-2-2-2000000000000220000000000000000-2-22222-2-20000000000000000
χ2522222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-211112222-2-2-2-2-1-1-1-10000000022-2-211-1-1-1-11111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-211112222-2-2-2-2-1-1-1-100000000-2-222111111-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2722222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-2-2-2-22222-1-1-1-10000000022-2-211-1-1-1-111111111-1-1-1-1000000000000-2211-1-1000000
χ2822222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-2-2-2-22222-1-1-1-100000000-2-222111111-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ29222-2-2-22-222-2-222-2-222-2-22-2-222-222-2-22i2i−2i−2i2i2i−2i−2i22-2-20000000000002-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ30222-2-2-22-222-2-222-2-222-2-22-2-222-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-20000000000002-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ31222-2-2-22-222-2-22-222-22-2-22-2-22-2222-2-200000000-2-2222i2i2i2i−2i−2i−2i−2i0000-220000000000000000000000002i2i−2i−2i000000000000
χ32222-2-2-22-222-2-22-222-22-2-22-2-22-2222-2-200000000-2-222−2i−2i−2i−2i2i2i2i2i0000-22000000000000000000000000−2i−2i2i2i000000000000
χ33222-2-2-22-222-2-2-12-2-22-111-111-12-2-1-1112i2i−2i−2i2i2i−2i−2i-1-111000000000000-11−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii000000000000003−33−3000000
χ34222-2-2-22-222-2-2-12-2-22-111-111-12-2-1-1112i2i−2i−2i2i2i−2i−2i-1-111000000000000-11i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii00000000000000−33−33000000
χ35222-2-2-22-222-2-2-12-2-22-111-111-12-2-1-111−2i−2i2i2i−2i−2i2i2i-1-111000000000000-11−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i00000000000000−33−33000000
χ36222-2-2-22-222-2-2-12-2-22-111-111-12-2-1-111−2i−2i2i2i−2i−2i2i2i-1-111000000000000-11i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i000000000000003−33−3000000
χ37222-2-2-22-2-2-22222-2-222-2-22-2-22-22-2-2222i2i−2i−2i−2i−2i2i2i22-2-2000000000000-22000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ38222-2-2-22-2-2-22222-2-222-2-22-2-22-22-2-222−2i−2i2i2i2i2i−2i−2i22-2-2000000000000-2200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ39222-2-2-22-2-2-2222-222-22-2-22-2-222-2-2-22200000000-2-2222i2i2i2i−2i−2i−2i−2i00002-2000000000000000000000000−2i−2i2i2i000000000000
χ40222-2-2-22-2-2-2222-222-22-2-22-2-222-2-2-22200000000-2-222−2i−2i−2i−2i2i2i2i2i00002-20000000000000000000000002i2i−2i−2i000000000000
χ41222-2-2-22-2-2-222-12-2-22-111-111-1-2211-1-12i2i−2i−2i−2i−2i2i2i-1-1110000000000001-1−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i000000000000003−3−33000000
χ42222-2-2-22-2-2-222-12-2-22-111-111-1-2211-1-12i2i−2i−2i−2i−2i2i2i-1-1110000000000001-1i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i00000000000000−333−3000000
χ43222-2-2-22-2-2-222-12-2-22-111-111-1-2211-1-1−2i−2i2i2i2i2i−2i−2i-1-1110000000000001-1−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii00000000000000−333−3000000
χ44222-2-2-22-2-2-222-12-2-22-111-111-1-2211-1-1−2i−2i2i2i2i2i−2i−2i-1-1110000000000001-1i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii000000000000003−3−33000000
χ452-222-22-2-200002-22-22-22-222-2-2000000000000002-22-222-2-222-2-2002i−2i0000002i−2i2i−2i00000000000000000000000000002i−2i00
χ462-222-22-2-200002-22-22-22-222-2-2000000000000002-22-222-2-222-2-200−2i2i000000−2i2i−2i2i0000000000000000000000000000−2i2i00
χ472-222-22-2-200002-22-22-22-222-2-2000000000000002-22-2-2-222-2-222002i−2i0000002i−2i2i−2i0000000000000000000000000000−2i2i00
χ482-222-22-2-200002-22-22-22-222-2-2000000000000002-22-2-2-222-2-22200−2i2i000000−2i2i−2i2i00000000000000000000000000002i−2i00
χ492-22-22-2-220000222-2-2-2-222-22-200000000000000-222-22i2i−2i−2i−2i−2i2i2i2i−2i00002i−2i2i−2i0000000000000000000000000000002-20000
χ502-22-22-2-220000222-2-2-2-222-22-200000000000000-222-22i2i−2i−2i−2i−2i2i2i−2i2i0000−2i2i−2i2i000000000000000000000000000000-220000
χ512-22-22-2-220000222-2-2-2-222-22-200000000000000-222-2−2i−2i2i2i2i2i−2i−2i2i−2i00002i−2i2i−2i000000000000000000000000000000-220000
χ522-22-22-2-220000222-2-2-2-222-22-200000000000000-222-2−2i−2i2i2i2i2i−2i−2i−2i2i0000−2i2i−2i2i0000000000000000000000000000002-20000
χ532-2-222-22-22-22-220000-222-2-2-22002-22-2−i2i2−i2i2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i200000000000000−i2i2−i2i2−i2i2−i2i22-22-20000−i2i2−i2i2000000000000
χ542-2-222-22-22-22-220000-222-2-2-22002-22-2−i2i2−i2i2−i2i2−i2i20000i2−i2i2−i2i2−i2i2−i200000000000000−i2i2−i2i2−i2i2−i2i2-22-220000i2−i2i2−i2000000000000
χ552-2-222-22-22-22-220000-222-2-2-22002-22-2i2−i2i2−i2i2−i2i2−i20000−i2i2−i2i2−i2i2−i2i200000000000000i2−i2i2−i2i2−i2i2−i2-22-220000−i2i2−i2i2000000000000
χ562-2-222-22-22-22-220000-222-2-2-22002-22-2i2−i2i2−i2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i200000000000000i2−i2i2−i2i2−i2i2−i22-22-20000i2−i2i2−i2000000000000
χ572-2-222-22-2-22-2220000-222-2-2-2200-22-22−i2i2−i2i2i2−i2i2−i20000−i2i2−i2i2−i2i2−i2i200000000000000−i2i2−i2i2i2−i2i2−i22-2-220000i2−i2i2−i2000000000000
χ582-2-222-22-2-22-2220000-222-2-2-2200-22-22−i2i2−i2i2i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i200000000000000−i2i2−i2i2i2−i2i2−i2-222-20000−i2i2−i2i2000000000000
χ592-2-222-22-2-22-2220000-222-2-2-2200-22-22i2−i2i2−i2−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i200000000000000i2−i2i2−i2−i2i2−i2i2-222-20000i2−i2i2−i2000000000000
χ602-2-222-22-2-22-2220000-222-2-2-2200-22-22i2−i2i2−i2−i2i2−i2i20000i2−i2i2−i2i2−i2i2−i200000000000000i2−i2i2−i2−i2i2−i2i22-2-220000−i2i2−i2i2000000000000
χ612-2-2-2-22222-2-2220000-2-2-2-2222002-2-222−2−222−2−2200002−22−2−22−22000000000000002−2−222−2−2200002-22-22−2−22000000000000
χ622-2-2-2-22222-2-2220000-2-2-2-2222002-2-222−2−222−2−220000−22−222−22−2000000000000002−2−222−2−220000-22-22−222−2000000000000
χ632-2-2-2-22222-2-2220000-2-2-2-2222002-2-22−222−2−222−200002−22−2−22−2200000000000000−222−2−222−20000-22-222−2−22000000000000
χ642-2-2-2-22222-2-2220000-2-2-2-2222002-2-22−222−2−222−20000−22−222−22−200000000000000−222−2−222−200002-22-2−222−2000000000000
χ652-2-2-2-2222-222-220000-2-2-2-222200-222-22−2−22−222−200002−22−2−22−22000000000000002−2−22−222−200002-2-22−222−2000000000000
χ662-2-2-2-2222-222-220000-2-2-2-222200-222-22−2−22−222−20000−22−222−22−2000000000000002−2−22−222−20000-222-22−2−22000000000000
χ672-2-2-2-2222-222-220000-2-2-2-222200-222-2−222−22−2−2200002−22−2−22−2200000000000000−222−22−2−220000-222-2−222−2000000000000
χ682-2-2-2-2222-222-220000-2-2-2-222200-222-2−222−22−2−220000−22−222−22−200000000000000−222−22−2−2200002-2-222−2−22000000000000
χ69444444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-4-2-2-2-2000000002222000000000000220000000000000000000000000000000000000000
χ7044444444-4-4-4-4-2-4-4-4-4-2-2-2-2-2-2-2442222000000002222000000000000-2-20000000000000000000000000000000000000000
χ71444-4-4-44-444-4-4-2-444-4-222-222-2-44-2-2220000000022-2-20000000000002-20000000000000000000000000000000000000000
χ72444-4-4-44-4-4-444-2-444-4-222-222-24-422-2-20000000022-2-2000000000000-220000000000000000000000000000000000000000
χ7344-44-4-4-4400004000044-4-4-44-4000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ7444-44-4-4-4400004000044-4-4-44-40000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ7544-4-444-4-40000400004-44-44-4-400000000000000000022−22−2222−222222−220000000000000000000000000000000000000000000000
χ7644-4-444-4-40000400004-44-44-4-4000000000000000000−222222−2222−22−22220000000000000000000000000000000000000000000000
χ774-444-44-4-4000044-44-4-44-444-4-400000000000000-44-44000000000000000000000000000000000000000000000000000000
χ784-444-44-4-40000-24-44-42-22-2-222000000000000002-22-20000000000000023−23−2323000000000000000000000000000000000000
χ794-444-44-4-40000-24-44-42-22-2-222000000000000002-22-200000000000000−232323−23000000000000000000000000000000000000
χ804-444-44-4-40000-2-44-442-22-2-22200000000000000-22-2200000000004i−4i000000−2i2i−2i2i00000000000000000000000000000000
χ814-444-44-4-40000-2-44-442-22-2-22200000000000000-22-220000000000−4i4i0000002i−2i2i−2i00000000000000000000000000000000
χ824-44-44-4-4400004-4-444-4-444-44-4000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ834-44-44-4-440000-244-4-422-2-22-22000000000000002-2-22000000004i−4i0000−2i2i−2i2i000000000000000000000000000000000000
χ844-44-44-4-440000-244-4-422-2-22-22000000000000002-2-2200000000−4i4i00002i−2i2i−2i000000000000000000000000000000000000
χ854-44-44-4-440000-2-4-44422-2-22-2200000000000000-222-200000000000000000023−23−232300000000000000000000000000000000
χ864-44-44-4-440000-2-4-44422-2-22-2200000000000000-222-2000000000000000000−232323−2300000000000000000000000000000000
χ874-4-444-44-44-44-4-200002-2-2222-200-22-22−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ884-4-444-44-44-44-4-200002-2-2222-200-22-222i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ894-4-444-44-4-44-44-200002-2-2222-2002-22-2−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ904-4-444-44-4-44-44-200002-2-2222-2002-22-22i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ914-4-4-4-44444-4-44-200002222-2-2-200-222-222−22−222222−22−222200000000000000000000000000−222−2−222−2000000000000000000000000
χ924-4-4-4-44444-4-44-200002222-2-2-200-222-2−222222−22−222222−22000000000000000000000000002−2−222−2−22000000000000000000000000
χ934-4-4-4-4444-444-4-200002222-2-2-2002-2-2222−22−2222−222222−2200000000000000000000000000−222−22−2−22000000000000000000000000
χ944-4-4-4-4444-444-4-200002222-2-2-2002-2-22−222222−2222−22−2222000000000000000000000000002−2−22−222−2000000000000000000000000
χ9588-88-8-8-880000-40000-4-4444-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-888-8-80000-40000-44-44-444000000000000000000000000000000000000000000000000000000000000000000000000

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