Finite Group Databasebeta

← Group #10877419

Character table — Group #10877419

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order12222222222234444666666644666688888888121212128888888844441212121212121212121224242424242424244444444488884412121212444444
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
χ292222-2-2-2-222-2-220000222-2-2-2-20022-2-222−2−222−2−200002222−2−2−2−20000000000000022−2−222−2−22-22-2000022−2−2000000000000
χ302222-2-2-2-222-2-220000222-2-2-2-20022-2-222−2−222−2−20000−2−2−2−222220000000000000022−2−222−2−2-22-220000−2−222000000000000
χ312222-2-2-2-222-2-220000222-2-2-2-20022-2-2−2−222−2−22200002222−2−2−2−200000000000000−2−222−2−222-22-22000022−2−2000000000000
χ322222-2-2-2-222-2-220000222-2-2-2-20022-2-2−2−222−2−2220000−2−2−2−2222200000000000000−2−222−2−2222-22-20000−2−222000000000000
χ332222-2-2-2-2-2-22220000222-2-2-2-200-2-22222−2−2−2−22200002222−2−2−2−20000000000000022−2−2−2−2222-2-220000−2−222000000000000
χ342222-2-2-2-2-2-22220000222-2-2-2-200-2-22222−2−2−2−2220000−2−2−2−222220000000000000022−2−2−2−222-222-2000022−2−2000000000000
χ352222-2-2-2-2-2-22220000222-2-2-2-200-2-222−2−22222−2−200002222−2−2−2−200000000000000−2−22222−2−2-222-20000−2−222000000000000
χ362222-2-2-2-2-2-22220000222-2-2-2-200-2-222−2−22222−2−20000−2−2−2−2222200000000000000−2−22222−2−22-2-22000022−2−2000000000000
χ3722-2-22-2-222-22-2200002-2-222-2-2002-22-2−i2i2−i2i2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200000000000000−i2i2−i2i2−i2i2−i2i200002-22-2−i2i2−i2i2000000000000
χ3822-2-22-2-222-22-2200002-2-222-2-2002-22-2−i2i2−i2i2−i2i2−i2i20000i2i2−i2−i2i2i2−i2−i200000000000000−i2i2−i2i2−i2i2−i2i20000-22-22i2−i2i2−i2000000000000
χ3922-2-22-2-222-22-2200002-2-222-2-2002-22-2i2−i2i2−i2i2−i2i2−i20000−i2−i2i2i2−i2−i2i2i200000000000000i2−i2i2−i2i2−i2i2−i20000-22-22−i2i2−i2i2000000000000
χ4022-2-22-2-222-22-2200002-2-222-2-2002-22-2i2−i2i2−i2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200000000000000i2−i2i2−i2i2−i2i2−i200002-22-2i2−i2i2−i2000000000000
χ4122-2-22-2-22-22-22200002-2-222-2-200-22-22−i2i2−i2i2i2−i2i2−i20000−i2−i2i2i2−i2−i2i2i200000000000000−i2i2−i2i2i2−i2i2−i200002-2-22i2−i2i2−i2000000000000
χ4222-2-22-2-22-22-22200002-2-222-2-200-22-22−i2i2−i2i2i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200000000000000−i2i2−i2i2i2−i2i2−i20000-222-2−i2i2−i2i2000000000000
χ4322-2-22-2-22-22-22200002-2-222-2-200-22-22i2−i2i2−i2−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200000000000000i2−i2i2−i2−i2i2−i2i20000-222-2i2−i2i2−i2000000000000
χ4422-2-22-2-22-22-22200002-2-222-2-200-22-22i2−i2i2−i2−i2i2−i2i20000i2i2−i2−i2i2i2−i2−i200000000000000i2−i2i2−i2−i2i2−i2i200002-2-22−i2i2−i2i2000000000000
χ4522-2-2-222-22-2-2222-2-222-2-2-2-2222-22-2-222i−2i−2i2i2i−2i−2i2i22-2-20000000000002-2000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ4622-2-2-222-22-2-2222-2-222-2-2-2-2222-22-2-22−2i2i2i−2i−2i2i2i−2i22-2-20000000000002-200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ4722-2-2-222-22-2-222-222-22-2-2-2-222-222-2-2200000000-2-2222i2i−2i−2i−2i−2i2i2i0000-220000000000000000000000002i−2i−2i2i000000000000
χ4822-2-2-222-22-2-222-222-22-2-2-2-222-222-2-2200000000-2-222−2i−2i2i2i2i2i−2i−2i0000-22000000000000000000000000−2i2i2i−2i000000000000
χ4922-2-2-222-22-2-22-12-2-22-11111-1-12-2-111-12i−2i−2i2i2i−2i−2i2i-1-111000000000000-11−i3−i3i3i3−i3−i3i3i3−iii−i−iii−i000000000000003−33−3000000
χ5022-2-2-222-22-2-22-12-2-22-11111-1-12-2-111-12i−2i−2i2i2i−2i−2i2i-1-111000000000000-11i3i3−i3−i3i3i3−i3−i3−iii−i−iii−i00000000000000−33−33000000
χ5122-2-2-222-22-2-22-12-2-22-11111-1-12-2-111-1−2i2i2i−2i−2i2i2i−2i-1-111000000000000-11−i3−i3i3i3−i3−i3i3i3i−i−iii−i−ii00000000000000−33−33000000
χ5222-2-2-222-22-2-22-12-2-22-11111-1-12-2-111-1−2i2i2i−2i−2i2i2i−2i-1-111000000000000-11i3i3−i3−i3i3i3−i3−i3i−i−iii−i−ii000000000000003−33−3000000
χ5322-2-2-222-2-222-222-2-222-2-2-2-222-22-222-22i−2i−2i2i−2i2i2i−2i22-2-2000000000000-22000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ5422-2-2-222-2-222-222-2-222-2-2-2-222-22-222-2−2i2i2i−2i2i−2i−2i2i22-2-2000000000000-2200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ5522-2-2-222-2-222-22-222-22-2-2-2-2222-2-222-200000000-2-2222i2i−2i−2i−2i−2i2i2i00002-2000000000000000000000000−2i2i2i−2i000000000000
χ5622-2-2-222-2-222-22-222-22-2-2-2-2222-2-222-200000000-2-222−2i−2i2i2i2i2i−2i−2i00002-20000000000000000000000002i−2i−2i2i000000000000
χ5722-2-2-222-2-222-2-12-2-22-11111-1-1-221-1-112i−2i−2i2i−2i2i2i−2i-1-1110000000000001-1−i3−i3i3i3i3i3−i3−i3−iii−ii−i−ii000000000000003−3−33000000
χ5822-2-2-222-2-222-2-12-2-22-11111-1-1-221-1-112i−2i−2i2i−2i2i2i−2i-1-1110000000000001-1i3i3−i3−i3−i3−i3i3i3−iii−ii−i−ii00000000000000−333−3000000
χ5922-2-2-222-2-222-2-12-2-22-11111-1-1-221-1-11−2i2i2i−2i2i−2i−2i2i-1-1110000000000001-1−i3−i3i3i3i3i3−i3−i3i−i−ii−iii−i00000000000000−333−3000000
χ6022-2-2-222-2-222-2-12-2-22-11111-1-1-221-1-11−2i2i2i−2i2i−2i−2i2i-1-1110000000000001-1i3i3−i3−i3−i3−i3i3i3i−i−ii−iii−i000000000000003−3−33000000
χ612-22-222-2-200002-22-22-22-22-22-2000000000000002-22-22-22-22-22-2002i−2i0000002i−2i2i−2i00000000000000000000000000002i−2i00
χ622-22-222-2-200002-22-22-22-22-22-2000000000000002-22-22-22-22-22-200−2i2i000000−2i2i−2i2i0000000000000000000000000000−2i2i00
χ632-22-222-2-200002-22-22-22-22-22-2000000000000002-22-2-22-22-22-22002i−2i0000002i−2i2i−2i0000000000000000000000000000−2i2i00
χ642-22-222-2-200002-22-22-22-22-22-2000000000000002-22-2-22-22-22-2200−2i2i000000−2i2i−2i2i00000000000000000000000000002i−2i00
χ652-2-22-22-220000222-2-2-2-22-222-200000000000000-222-22i−2i−2i2i−2i2i2i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000002-20000
χ662-2-22-22-220000222-2-2-2-22-222-200000000000000-222-22i−2i−2i2i−2i2i2i−2i−2i2i0000−2i2i−2i2i000000000000000000000000000000-220000
χ672-2-22-22-220000222-2-2-2-22-222-200000000000000-222-2−2i2i2i−2i2i−2i−2i2i2i−2i00002i−2i2i−2i000000000000000000000000000000-220000
χ682-2-22-22-220000222-2-2-2-22-222-200000000000000-222-2−2i2i2i−2i2i−2i−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000002-20000
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
χ714444-4-4-4-444-4-4-20000-2-2-2222200-2-2222222−22−222222−22−2200000000000000000000000000−2−222−2−222000000000000000000000000
χ724444-4-4-4-444-4-4-20000-2-2-2222200-2-222−22−222222−22−2222220000000000000000000000000022−2−222−2−2000000000000000000000000
χ734444-4-4-4-4-4-444-20000-2-2-222220022-2-22222−22−22−22−22222200000000000000000000000000−2−22222−2−2000000000000000000000000
χ744444-4-4-4-4-4-444-20000-2-2-222220022-2-2−22−2222222222−22−220000000000000000000000000022−2−2−2−222000000000000000000000000
χ7544-4-44-4-444-44-4-20000-222-2-22200-22-22−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ7644-4-44-4-444-44-4-20000-222-2-22200-22-222i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ7744-4-44-4-44-44-44-20000-222-2-222002-22-2−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ7844-4-44-4-44-44-44-20000-222-2-222002-22-22i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ7944-4-4-444-44-4-44-2-444-4-22222-2-2-44-222-20000000022-2-20000000000002-20000000000000000000000000000000000000000
χ8044-4-4-444-4-444-4-2-444-4-22222-2-24-42-2-220000000022-2-2000000000000-220000000000000000000000000000000000000000
χ814-44-444-4-4000044-44-4-44-44-44-400000000000000-44-44000000000000000000000000000000000000000000000000000000
χ824-44-444-4-40000-24-44-42-22-22-22000000000000002-22-20000000000000023−23−2323000000000000000000000000000000000000
χ834-44-444-4-40000-24-44-42-22-22-22000000000000002-22-200000000000000−232323−23000000000000000000000000000000000000
χ844-44-444-4-40000-2-44-442-22-22-2200000000000000-22-2200000000004i−4i000000−2i2i−2i2i00000000000000000000000000000000
χ854-44-444-4-40000-2-44-442-22-22-2200000000000000-22-220000000000−4i4i0000002i−2i2i−2i00000000000000000000000000000000
χ864-44-4-4-444000040000-44-4-44-4400000000000000000022−2222−22−2222−22220000000000000000000000000000000000000000000000
χ874-44-4-4-444000040000-44-4-44-44000000000000000000−2222−222222−2222−220000000000000000000000000000000000000000000000
χ884-4-444-44-4000040000-4-444-4-44000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ894-4-444-44-4000040000-4-444-4-440000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ904-4-44-44-4400004-4-444-4-44-444-4000000000000004-4-44000000000000000000000000000000000000000000000000000000
χ914-4-44-44-440000-244-4-422-22-2-22000000000000002-2-22000000004i−4i0000−2i2i−2i2i000000000000000000000000000000000000
χ924-4-44-44-440000-244-4-422-22-2-22000000000000002-2-2200000000−4i4i00002i−2i2i−2i000000000000000000000000000000000000
χ934-4-44-44-440000-2-4-44422-22-2-2200000000000000-222-200000000000000000023−23−232300000000000000000000000000000000
χ944-4-44-44-440000-2-4-44422-22-2-2200000000000000-222-2000000000000000000−232323−2300000000000000000000000000000000
χ958-88-8-8-8880000-400004-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-888-88-80000-4000044-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000

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