Finite Group Databasebeta

← Group #10944155

Character table — Group #10944155

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222244444444444444444444888888888888888888888812121212121212121212121212121212161616161616242424244848
order12222222344446666666222244444444121212121212121266668888121212121212242424242424242422444444444444444412121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-111-1-111-1-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111-111-1-1-1-111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-11-1-111-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-11-1-11111-1-11-1
χ911111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-11-1-11111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-111-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111-111-1-1-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-11-111-1-111-1-1-11
χ17222222222-2-2-2-22222222000022-2-20000-2-2-2-2-2-2-2-2000000002200000000000022-2-2-2-20000220000000000000000
χ18222222222-2-2-2-22222222000022-2-20000-2-2-2-2-2-2-2-20000000022000000000000-2-222220000-2-20000000000000000
χ19222222222-2-2-2-222222220000-2-2220000-2-22222-2-200000000-2-20000000000002222-2-20000-2-20000000000000000
χ20222222222-2-2-2-222222220000-2-2220000-2-22222-2-200000000-2-2000000000000-2-2-2-2220000220000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111110000000000000000-2-21111000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-122-2-2111111-1-1-1-1111100000000000000002-2-1-111000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-1-2-2221111111111-1-1-1-10000000000000000-2211-1-1000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111112222-1-11111-1-1-1-1-1-1-1-10000000000000000-2-21111000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-11111-2-2-2-2-1-1111111111111000000000000000022-1-1-1-1000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-11111-1-1111122-2-211-1-1-1-1-1-1-1-111110000000000000000-2211-1-1000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-11111-1-11111-2-22211-1-1-1-11111-1-1-1-100000000000000002-2-1-111000000
χ29222-2-2-22-222-22-222-2-2-22-200002i−2i2i−2i00002-22i2i−2i−2i2-2000000002i−2i00000000000000000022-2-2002i2i−2i−2i000000000000
χ30222-2-2-22-222-22-222-2-2-22-200002i−2i2i−2i00002-22i2i−2i−2i2-2000000002i−2i000000000000000000-2-22200−2i−2i2i2i000000000000
χ31222-2-2-22-222-22-222-2-2-22-20000−2i2i−2i2i00002-2−2i−2i2i2i2-200000000−2i2i00000000000000000022-2-200−2i−2i2i2i000000000000
χ32222-2-2-22-222-22-222-2-2-22-20000−2i2i−2i2i00002-2−2i−2i2i2i2-200000000−2i2i000000000000000000-2-222002i2i−2i−2i000000000000
χ33222-2-2-22-22-22-2222-2-2-22-222-2-22i−2i−2i2i2i2i−2i−2i-22−2i−2i2i2i-2222-2-200002i−2i2i2i−2i−2i000000000000000000000000000000000000
χ34222-2-2-22-22-22-2222-2-2-22-222-2-2−2i2i2i−2i−2i−2i2i2i-222i2i−2i−2i-2222-2-20000−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ35222-2-2-22-22-22-2222-2-2-22-2-2-2222i−2i−2i2i−2i−2i2i2i-22−2i−2i2i2i-22-2-22200002i−2i−2i−2i2i2i000000000000000000000000000000000000
χ36222-2-2-22-22-22-2222-2-2-22-2-2-222−2i2i2i−2i2i2i−2i−2i-222i2i−2i−2i-22-2-2220000−2i2i2i2i−2i−2i000000000000000000000000000000000000
χ37222-2-2-22-2-1-22-22-1-1111-1122-2-22i−2i−2i2i2i2i−2i−2i1-1ii−i−i1-1-1-1110000−ii−i−iii33−3−3−i3−i3i3i30000000000000000003−3−i3i3000000
χ38222-2-2-22-2-1-22-22-1-1111-1122-2-22i−2i−2i2i2i2i−2i−2i1-1ii−i−i1-1-1-1110000−ii−i−iii−3−333i3i3−i3−i3000000000000000000−33i3−i3000000
χ39222-2-2-22-2-1-22-22-1-1111-1122-2-2−2i2i2i−2i−2i−2i2i2i1-1−i−iii1-1-1-1110000i−iii−i−i33−3−3i3i3−i3−i30000000000000000003−3i3−i3000000
χ40222-2-2-22-2-1-22-22-1-1111-1122-2-2−2i2i2i−2i−2i−2i2i2i1-1−i−iii1-1-1-1110000i−iii−i−i−3−333−i3−i3i3i3000000000000000000−33−i3i3000000
χ41222-2-2-22-2-1-22-22-1-1111-11-2-2222i−2i−2i2i−2i−2i2i2i1-1ii−i−i1-111-1-10000−iiii−i−i33−3−3−i3−i3i3i3000000000000000000−33i3−i3000000
χ42222-2-2-22-2-1-22-22-1-1111-11-2-2222i−2i−2i2i−2i−2i2i2i1-1ii−i−i1-111-1-10000−iiii−i−i−3−333i3i3−i3−i30000000000000000003−3−i3i3000000
χ43222-2-2-22-2-1-22-22-1-1111-11-2-222−2i2i2i−2i2i2i−2i−2i1-1−i−iii1-111-1-10000i−i−i−iii33−3−3i3i3−i3−i3000000000000000000−33−i3i3000000
χ44222-2-2-22-2-1-22-22-1-1111-11-2-222−2i2i2i−2i2i2i−2i−2i1-1−i−iii1-111-1-10000i−i−i−iii−3−333−i3−i3i3i30000000000000000003−3i3−i3000000
χ452-2-22-222-2222-2-2-2-22-222-2000000002i−2i2i−2i220000-2-200000000002i−2i2i−2i000000002-2002-20000002i−2i2i−2i000000000000
χ462-2-22-222-2222-2-2-2-22-222-2000000002i−2i2i−2i220000-2-200000000002i−2i2i−2i00000000-2200-22000000−2i2i−2i2i000000000000
χ472-2-22-222-2222-2-2-2-22-222-200000000−2i2i−2i2i220000-2-20000000000−2i2i−2i2i000000002-2002-2000000−2i2i−2i2i000000000000
χ482-2-22-222-2222-2-2-2-22-222-200000000−2i2i−2i2i220000-2-20000000000−2i2i−2i2i00000000-2200-220000002i−2i2i−2i000000000000
χ492-2-22-222-22-2-222-2-22-222-22-22-200000000-2-20000222-22-20000000000000000002-200-222-22-2000000000000000000
χ502-2-22-222-22-2-222-2-22-222-22-22-200000000-2-20000222-22-2000000000000000000-22002-2-22-22000000000000000000
χ512-2-22-222-22-2-222-2-22-222-2-22-2200000000-2-2000022-22-220000000000000000002-200-22-22-22000000000000000000
χ522-2-22-222-22-2-222-2-22-222-2-22-2200000000-2-2000022-22-22000000000000000000-22002-22-22-2000000000000000000
χ532-2-2-22-22222-2-22-2-2-22-2222-2-22000000002-20000-222-2-22000000000000000000002-20000002-22-2-22000000000000
χ542-2-2-22-22222-2-22-2-2-22-2222-2-22000000002-20000-222-2-2200000000000000000000-22000000-22-222-2000000000000
χ552-2-2-22-22222-2-22-2-2-22-222-222-2000000002-20000-22-222-2000000000000000000002-20000002-2-222-2000000000000
χ562-2-2-22-22222-2-22-2-2-22-222-222-2000000002-20000-22-222-200000000000000000000-22000000-222-2-22000000000000
χ572-2-2-22-2222-222-2-2-2-22-222000000002-2-22-2200002-200000000002-2-2200000000002-200-222-2-220000000000000000
χ582-2-2-22-2222-222-2-2-2-22-222000000002-2-22-2200002-200000000002-2-220000000000-22002-2-222-20000000000000000
χ592-2-2-22-2222-222-2-2-2-22-22200000000-222-2-2200002-20000000000-222-200000000002-2002-2-22-220000000000000000
χ602-2-2-22-2222-222-2-2-2-22-22200000000-222-2-2200002-20000000000-222-20000000000-2200-222-22-20000000000000000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-2000044-4-400002222222200000000-2-20000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-2-2-2-2-2-2-20000-4-444000022-2-2-2-22200000000220000000000000000000000000000000000000000
χ63444-4-4-44-4-24-44-4-2-2222-2200004i−4i4i−4i0000-22−2i−2i2i2i-2200000000−2i2i0000000000000000000000000000000000000000
χ64444-4-4-44-4-24-44-4-2-2222-220000−4i4i−4i4i0000-222i2i−2i−2i-22000000002i−2i0000000000000000000000000000000000000000
χ6544-444-4-4-4400004-444-4-4-4000000000000000000000000000000000000000000000000000000000000000022−220000
χ6644-444-4-4-4400004-444-4-4-40000000000000000000000000000000000000000000000000000000000000000−22220000
χ6744-4-4-44-44400004-4-4-44-4400000000000000000000000000000000000000000000000000000000000000000022−2200
χ6844-4-4-44-44400004-4-4-44-44000000000000000000000000000000000000000000000000000000000000000000−222200
χ694-444-4-4-4440000-444-4-4-44000000000000000000000000−2i22i200000000−2i22i2−2i22i200000000000000000000000000000000
χ704-444-4-4-4440000-444-4-4-440000000000000000000000002i2−2i2000000002i2−2i22i2−2i200000000000000000000000000000000
χ714-444-4-4-44-200002-2-2222-200000000000000−2i32i3−2i32i3000000−2i22i200000000i2−i2i2−i26−66−60000000000000000000000000000
χ724-444-4-4-44-200002-2-2222-200000000000000−2i32i3−2i32i30000002i2−2i200000000−i2i2−i2i2−66−660000000000000000000000000000
χ734-444-4-4-44-200002-2-2222-2000000000000002i3−2i32i3−2i3000000−2i22i200000000i2−i2i2−i2−66−660000000000000000000000000000
χ744-444-4-4-44-200002-2-2222-2000000000000002i3−2i32i3−2i30000002i2−2i200000000−i2i2−i2i26−66−60000000000000000000000000000
χ754-44-444-4-440000-44-444-4-400000000000000000000000000−2i22i20000000000−2i22i22i2−2i20000000000000000000000000000
χ764-44-444-4-440000-44-444-4-4000000000000000000000000002i2−2i200000000002i2−2i2−2i22i20000000000000000000000000000
χ774-44-444-4-4-200002-22-2-2220000000000000023−23−232300000000−2i22i2000000−i6i6i6−i6i2−i2−i2i20000000000000000000000000000
χ784-44-444-4-4-200002-22-2-2220000000000000023−23−2323000000002i2−2i2000000i6−i6−i6i6−i2i2i2−i20000000000000000000000000000
χ794-44-444-4-4-200002-22-2-22200000000000000−232323−2300000000−2i22i2000000i6−i6−i6i6i2−i2−i2i20000000000000000000000000000
χ804-44-444-4-4-200002-22-2-22200000000000000−232323−23000000002i2−2i2000000−i6i6i6−i6−i2i2i2−i20000000000000000000000000000
χ814-4-44-444-4-244-4-422-22-2-22000000004i−4i4i−4i-2-20000220000000000−2i2i−2i2i000000000000000000000000000000000000
χ824-4-44-444-4-244-4-422-22-2-2200000000−4i4i−4i4i-2-200002200000000002i−2i2i−2i000000000000000000000000000000000000
χ834-4-44-444-4-2-4-44422-22-2-224-44-400000000220000-2-2-22-220000000000000000000000000000000000000000000000
χ844-4-44-444-4-2-4-44422-22-2-22-44-4400000000220000-2-22-22-20000000000000000000000000000000000000000000000
χ854-4-4-44-444-24-4-44222-22-2-24-4-4400000000-2200002-2-222-20000000000000000000000000000000000000000000000
χ864-4-4-44-444-24-4-44222-22-2-2-444-400000000-2200002-22-2-220000000000000000000000000000000000000000000000
χ874-4-4-44-444-2-444-4222-22-2-2000000004-4-442-20000-220000000000-222-2000000000000000000000000000000000000
χ884-4-4-44-444-2-444-4222-22-2-200000000-444-42-20000-2200000000002-2-22000000000000000000000000000000000000
χ8988-888-8-8-8-40000-44-4-44440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-88-88-40000-4444-44-40000000000000000000000000000000000000000000000000000000000000000000000

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