Finite Group Databasebeta

← Group #10858849

Character table — Group #10858849

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444444444444444444444448888121212121212121216161616161616161616242424242424242424242424
order12222222344444444666666622666688888888121212121212121224242424242424242424242424242424444444444444441212121212121212444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ5111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111
χ911111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111111-11111-1-1-1-1-1-1111-1-1-111-1-1
χ1011111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-111-1-1-1111-1-111
χ1111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1111111-1-11-11111-1-1
χ1211111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-11-1-1-1-11111-1-111-11-1-1-1-111
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1111-1-111-1-1-1-1-1-11-111-1-111
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1111-1-111-1-11111-11-1-111-1-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-1-1-111-1-11111111-1-1-1-1-111
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-11111111-1-1-111-1-111-1-1-1-1-111111-1-1
χ17222222222-2-22222-2-22222222-2-2-2-2-2-200000000-2-2-22222-2000000000000000000002222000000000000000000-2-2000000
χ18222222222-2-22222-2-22222222-2-2-2-2-2-200000000-2-2-22222-200000000000000000000-2-2-2-200000000000000000022000000
χ19222222222-2-2-2-2-2-2-2-2222222222222200000000-2-2-2-2-2-2-2-20000000000000000000022-2-2000000000000000000-22000000
χ20222222222-2-2-2-2-2-2-2-2222222222222200000000-2-2-2-2-2-2-2-200000000000000000000-2-2220000000000000000002-2000000
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-211111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222200000000-2-2-1-11111-1-1000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2000000002211-1-1-1-111000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-211112222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-11111111122-2-2000000002-2-1-1-1-11111000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-211112222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111-2-22200000000-221111-1-1-1-1000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-21111-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-122-2-200000000-22-1-111-1-111000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-21111-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-1-2-222000000002-211-1-111-1-1000000000000
χ292222-2-2-2-222222-2-2-2-22-2-22-2-222-222-2-20000000022-222-2-2-200000000000000002-22-200000000002-200002-2000000000000
χ302222-2-2-2-222222-2-2-2-22-2-22-2-222-222-2-20000000022-222-2-2-20000000000000000-22-220000000000-220000-22000000000000
χ312222-2-2-2-2222-2-222-2-22-2-22-2-22-22-2-2220000000022-2-2-222-200000000000000002-2-2200000000002-20000-22000000000000
χ322222-2-2-2-2222-2-222-2-22-2-22-2-22-22-2-2220000000022-2-2-222-20000000000000000-222-20000000000-2200002-2000000000000
χ332222-2-2-2-22-2-222-2-2222-2-22-2-22-22-2-22200000000-2-2222-2-220000000000000000000000002i2i−2i−2i00000000002i−2i0000000000
χ342222-2-2-2-22-2-222-2-2222-2-22-2-22-22-2-22200000000-2-2222-2-22000000000000000000000000−2i−2i2i2i0000000000−2i2i0000000000
χ352222-2-2-2-22-2-2-2-222222-2-22-2-222-222-2-200000000-2-22-2-22220000000000000000000000002i2i−2i−2i0000000000−2i2i0000000000
χ362222-2-2-2-22-2-2-2-222222-2-22-2-222-222-2-200000000-2-22-2-2222000000000000000000000000−2i−2i2i2i00000000002i−2i0000000000
χ372222-2-2-2-2-12222-2-2-2-2-111-111-12-2-1-11100000000-1-11-1-11113333−3−3−3−33333−3−3−3−32-22-20000000000-113−33−3-11000000000000
χ382222-2-2-2-2-12222-2-2-2-2-111-111-12-2-1-11100000000-1-11-1-11113333−3−3−3−33333−3−3−3−3-22-2200000000001-1−33−331-1000000000000
χ392222-2-2-2-2-12222-2-2-2-2-111-111-12-2-1-11100000000-1-11-1-1111−3−3−3−33333−3−3−3−333332-22-20000000000-11−33−33-11000000000000
χ402222-2-2-2-2-12222-2-2-2-2-111-111-12-2-1-11100000000-1-11-1-1111−3−3−3−33333−3−3−3−33333-22-2200000000001-13−33−31-1000000000000
χ412222-2-2-2-2-122-2-222-2-2-111-111-1-2211-1-100000000-1-1111-1-113333−3−3−3−3−3−3−3−333332-2-220000000000-113−3−331-1000000000000
χ422222-2-2-2-2-122-2-222-2-2-111-111-1-2211-1-100000000-1-1111-1-113333−3−3−3−3−3−3−3−33333-222-200000000001-1−333−3-11000000000000
χ432222-2-2-2-2-122-2-222-2-2-111-111-1-2211-1-100000000-1-1111-1-11−3−3−3−333333333−3−3−3−32-2-220000000000-11−333−31-1000000000000
χ442222-2-2-2-2-122-2-222-2-2-111-111-1-2211-1-100000000-1-1111-1-11−3−3−3−333333333−3−3−3−3-222-200000000001-13−3−33-11000000000000
χ452-22-22-22-22002i−2i2i−2i00-22-222-2-200000022−2−2−i2−i2i2i20002i−2i2i−2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i200002-22i−2i00000000000000000000002−2−i2i2
χ462-22-22-22-22002i−2i2i−2i00-22-222-2-200000022−2−2−i2−i2i2i20002i−2i2i−2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000-22−2i2i0000000000000000000000−22i2−i2
χ472-22-22-22-22002i−2i2i−2i00-22-222-2-2000000−2−222i2i2−i2−i20002i−2i2i−2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i200002-22i−2i0000000000000000000000−22i2−i2
χ482-22-22-22-22002i−2i2i−2i00-22-222-2-2000000−2−222i2i2−i2−i20002i−2i2i−2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i20000-22−2i2i00000000000000000000002−2−i2i2
χ492-22-22-22-2200−2i2i−2i2i00-22-222-2-200000022−2−2i2i2−i2−i2000−2i2i−2i2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i200002-2−2i2i00000000000000000000002−2i2−i2
χ502-22-22-22-2200−2i2i−2i2i00-22-222-2-200000022−2−2i2i2−i2−i2000−2i2i−2i2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000-222i−2i0000000000000000000000−22−i2i2
χ512-22-22-22-2200−2i2i−2i2i00-22-222-2-2000000−2−222−i2−i2i2i2000−2i2i−2i2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i200002-2−2i2i0000000000000000000000−22−i2i2
χ522-22-22-22-2200−2i2i−2i2i00-22-222-2-2000000−2−222−i2−i2i2i2000−2i2i−2i2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i20000-222i−2i00000000000000000000002−2i2−i2
χ532-2-222-2-2222-200002-2-22-2-2-22200000000002i−2i2i−2i2-220000-2000000002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i00000000000000002-20000
χ542-2-222-2-2222-200002-2-22-2-2-22200000000002i−2i2i−2i2-220000-2000000002i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i0000000000000000-220000
χ552-2-222-2-2222-200002-2-22-2-2-2220000000000−2i2i−2i2i2-220000-200000000−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i0000000000000000-220000
χ562-2-222-2-2222-200002-2-22-2-2-2220000000000−2i2i−2i2i2-220000-200000000−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i00000000000000002-20000
χ572-2-22-222-22-2200002-2-2-22-22-220000002i−2i2i−2i0000-2220000-22i−2i2i−2i2i−2i2i−2i00000000000000002-2-220000000000002i−2i00000000
χ582-2-22-222-22-2200002-2-2-22-22-220000002i−2i2i−2i0000-2220000-22i−2i2i−2i2i−2i2i−2i0000000000000000-222-2000000000000−2i2i00000000
χ592-2-22-222-22-2200002-2-2-22-22-22000000−2i2i−2i2i0000-2220000-2−2i2i−2i2i−2i2i−2i2i00000000000000002-2-22000000000000−2i2i00000000
χ602-2-22-222-22-2200002-2-2-22-22-22000000−2i2i−2i2i0000-2220000-2−2i2i−2i2i−2i2i−2i2i0000000000000000-222-20000000000002i−2i00000000
χ6144444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-4222200000000222-2-2-2-2200000000000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-244-2-2-2-2000000002222222200000000000000000000000000000000000000000000000000
χ634444-4-4-4-4-2-4-444-4-444-222-222-2-4422-2-20000000022-2-2-222-200000000000000000000000000000000000000000000000000
χ644444-4-4-4-4-2-4-4-4-44444-222-222-24-4-2-2220000000022-222-2-2-200000000000000000000000000000000000000000000000000
χ6544-4-444-4-4400000000444-4-4-4-4000000000022−22−2222000000000000000022−22−222222−22−22220000000000000000000000000000000000
χ6644-4-444-4-4400000000444-4-4-4-40000000000−222222−220000000000000000−222222−22−222222−220000000000000000000000000000000000
χ6744-4-444-4-4-200000000-2-2-2222200−2i32i3−2i32i3000022−22−222200000000i6−i6−i6i6−i6i6i6−i6−222−2−222−20000000000000000000000000000000000
χ6844-4-444-4-4-200000000-2-2-2222200−2i32i3−2i32i30000−222222−2200000000−i6i6i6−i6i6−i6−i6i62−2−222−2−220000000000000000000000000000000000
χ6944-4-444-4-4-200000000-2-2-22222002i3−2i32i3−2i3000022−22−222200000000−i6i6i6−i6i6−i6−i6i6−222−2−222−20000000000000000000000000000000000
χ7044-4-444-4-4-200000000-2-2-22222002i3−2i32i3−2i30000−222222−2200000000i6−i6−i6i6−i6i6i6−i62−2−222−2−220000000000000000000000000000000000
χ7144-4-4-4-4444000000004-4-4-444-4000000−2i22i22i2−2i2000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000
χ7244-4-4-4-4444000000004-4-4-444-40000002i2−2i2−2i22i20000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000
χ7344-4-4-4-444-200000000-2222-2-2200−2i32i32i3−2i3−2i22i22i2−2i2000000000000i2−i2−i2i2i2−i2−i2i26−6−66−666−60000000000000000000000000000000000
χ7444-4-4-4-444-200000000-2222-2-2200−2i32i32i3−2i32i2−2i2−2i22i2000000000000−i2i2i2−i2−i2i2i2−i2−666−66−6−660000000000000000000000000000000000
χ7544-4-4-4-444-200000000-2222-2-22002i3−2i3−2i32i3−2i22i22i2−2i2000000000000i2−i2−i2i2i2−i2−i2i2−666−66−6−660000000000000000000000000000000000
χ7644-4-4-4-444-200000000-2222-2-22002i3−2i3−2i32i32i2−2i2−2i22i2000000000000−i2i2i2−i2−i2i2i2−i26−6−66−666−60000000000000000000000000000000000
χ774-44-44-44-4-2004i−4i4i−4i002-22-2-2220000002222−22−22−2i2−2i22i22i2000−2i2i−2i2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000000000000000000000
χ784-44-44-44-4-2004i−4i4i−4i002-22-2-222000000−22−2222222i22i2−2i2−2i2000−2i2i−2i2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000000000000000000000
χ794-44-44-44-4-200−4i4i−4i4i002-22-2-2220000002222−22−222i22i2−2i2−2i20002i−2i2i−2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000000000000000000000
χ804-44-44-44-4-200−4i4i−4i4i002-22-2-222000000−22−222222−2i2−2i22i22i20002i−2i2i−2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000000000000000000000
χ814-44-4-44-444004i−4i−4i4i00-4-444-44-4000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000
χ824-44-4-44-44400−4i4i4i−4i00-4-444-44-400000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ834-44-4-44-44-2004i−4i−4i4i0022-2-22-2200000000000000000−2i2i2i−2i066−6−6−6−666−i6−i6i6i6i6i6−i6−i60000000000000000000000000000000000
χ844-44-4-44-44-2004i−4i−4i4i0022-2-22-2200000000000000000−2i2i2i−2i0−6−66666−6−6i6i6−i6−i6−i6−i6i6i60000000000000000000000000000000000
χ854-44-4-44-44-200−4i4i4i−4i0022-2-22-22000000000000000002i−2i−2i2i066−6−6−6−666i6i6−i6−i6−i6−i6i6i60000000000000000000000000000000000
χ864-44-4-44-44-200−4i4i4i−4i0022-2-22-22000000000000000002i−2i−2i2i0−6−66666−6−6−i6−i6i6i6i6i6−i6−i60000000000000000000000000000000000
χ874-4-444-4-444-440000-44-44-4-4-44400000000000000-44-40000400000000000000000000000000000000000000000000000000
χ884-4-444-4-44-24-400004-42-2222-2-200000000004i−4i4i−4i-22-20000200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ894-4-444-4-44-24-400004-42-2222-2-20000000000−4i4i−4i4i-22-200002000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ904-4-444-4-44-2-440000-442-2222-2-2000000000000002-220000-2−2i32i3−2i32i32i3−2i32i3−2i3000000000000000000000000000000000000000000
χ914-4-444-4-44-2-440000-442-2222-2-2000000000000002-220000-22i3−2i32i3−2i3−2i32i3−2i32i3000000000000000000000000000000000000000000
χ924-4-44-444-444-40000-44-4-44-44-44000000000000004-4-40000400000000000000000000000000000000000000000000000000
χ934-4-44-444-4-24-40000-4422-22-22-200000000000000-2220000-200000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000
χ944-4-44-444-4-24-40000-4422-22-22-200000000000000-2220000-2000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000
χ954-4-44-444-4-2-4400004-422-22-22-20000004i−4i4i−4i00002-2-200002−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ964-4-44-444-4-2-4400004-422-22-22-2000000−4i4i−4i4i00002-2-2000022i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000

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