Finite Group Databasebeta

← Group #10943976

Character table — Group #10943976

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order1222222234444444466666662222444444121212121212121222224444666688881212121212122424242424242424222244444444226666888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1
χ911111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-1-11-1
χ1011111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1-111-11
χ1111111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-11
χ1211111111111-1-1-1-11111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-11111-1-11-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-11
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111-111-1-1-1-1111-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-1111-1
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-1-1-11-111-1-111-1-1-11
χ17222222222-2-22222-2-222222220000-2-20000-2-2-22222-22222222200000000-2-20000000000000000-2-2-2-20000000000000000
χ18222222222-2-22222-2-222222220000-2-20000-2-2-22222-2-2-2-2-2-2-2-2-200000000-2-2000000000000000022220000000000000000
χ19222222222-2-2-2-2-2-2-2-222222220000220000-2-2-2-2-2-2-2-22222-2-2-2-200000000220000000000000000-2-2220000000000000000
χ20222222222-2-2-2-2-2-2-2-222222220000220000-2-2-2-2-2-2-2-2-2-2-2-222220000000022000000000000000022-2-20000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-10000000011112222-1-11111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1000000001111-2-2-2-2-1-111111111111100000000000022-1-1-1-1000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-11111-100000000-1-1-1-122-2-2111111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-11111-100000000-1-1-1-1-2-2221111111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-11111-100000000111122-2-211-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-11111-1000000001111-2-22211-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ29222-22-2-2-222-200002-222-2-22-2-222-2-20000002-2-20000200002i2i−2i−2i22-2-20000000000000000000000002i−2i2i2i−2i−2i000000000000
χ30222-22-2-2-222-200002-222-2-22-2-222-2-20000002-2-2000020000−2i−2i2i2i22-2-2000000000000000000000000−2i2i−2i−2i2i2i000000000000
χ31222-22-2-2-222-200002-222-2-22-2-2-2-2220000002-2-20000200002i2i−2i−2i-2-2220000000000000000000000002i−2i−2i−2i2i2i000000000000
χ32222-22-2-2-222-200002-222-2-22-2-2-2-2220000002-2-2000020000−2i−2i2i2i-2-222000000000000000000000000−2i2i2i2i−2i−2i000000000000
χ33222-22-2-2-22-220000-2222-2-22-2-20000002i2i−2i−2i-2220000-200002i2i−2i−2i00000000002i2i−2i−2i0000000022-2-200−2i2i0000000000000000
χ34222-22-2-2-22-220000-2222-2-22-2-20000002i2i−2i−2i-2220000-20000−2i−2i2i2i00000000002i2i−2i−2i00000000-2-222002i−2i0000000000000000
χ35222-22-2-2-22-220000-2222-2-22-2-2000000−2i−2i2i2i-2220000-200002i2i−2i−2i0000000000−2i−2i2i2i00000000-2-22200−2i2i0000000000000000
χ36222-22-2-2-22-220000-2222-2-22-2-2000000−2i−2i2i2i-2220000-20000−2i−2i2i2i0000000000−2i−2i2i2i0000000022-2-2002i−2i0000000000000000
χ3722-2-2-2-22220022-2-2002-22-2-2-22000000000000022-2-2022-2-22-22-200002−22−200000022−2−222−2−20000000000000000002−22−200
χ3822-2-2-2-22220022-2-2002-22-2-2-22000000000000022-2-2022-2-22-22-20000−22−22000000−2−222−2−222000000000000000000−22−2200
χ3922-2-2-2-22220022-2-2002-22-2-2-22000000000000022-2-20-2-222-22-2200002−22−200000022−2−222−2−2000000000000000000−22−2200
χ4022-2-2-2-22220022-2-2002-22-2-2-22000000000000022-2-20-2-222-22-220000−22−22000000−2−222−2−2220000000000000000002−22−200
χ4122-2-2-2-222200-2-222002-22-2-2-220000000000000-2-222022-2-2-22-2200002−2−2200000022−2−2−2−2220000000000000000002−2−2200
χ4222-2-2-2-222200-2-222002-22-2-2-220000000000000-2-222022-2-2-22-220000−222−2000000−2−22222−2−2000000000000000000−222−200
χ4322-2-2-2-222200-2-222002-22-2-2-220000000000000-2-2220-2-2222-22-200002−2−2200000022−2−2−2−222000000000000000000−222−200
χ4422-2-2-2-222200-2-222002-22-2-2-220000000000000-2-2220-2-2222-22-20000−222−2000000−2−22222−2−20000000000000000002−2−2200
χ452-2-222-22-22220000-2-2-2-2222-2-20000002i−2i2i−2i22-20000-22-22-2000000000000002i−2i2i−2i0000000000002-2002i−2i2i−2i000000000000
χ462-2-222-22-22220000-2-2-2-2222-2-20000002i−2i2i−2i22-20000-2-22-22000000000000002i−2i2i−2i000000000000-2200−2i2i−2i2i000000000000
χ472-2-222-22-22220000-2-2-2-2222-2-2000000−2i2i−2i2i22-20000-22-22-200000000000000−2i2i−2i2i0000000000002-200−2i2i−2i2i000000000000
χ482-2-222-22-22220000-2-2-2-2222-2-2000000−2i2i−2i2i22-20000-2-22-2200000000000000−2i2i−2i2i000000000000-22002i−2i2i−2i000000000000
χ492-2-222-22-22-2-2000022-2-2222-2-22-22-2000000-2-22000022-22-200002-22-20000000000000000002-22-2-22000000000000000000
χ502-2-222-22-22-2-2000022-2-2222-2-22-22-2000000-2-2200002-22-2200002-22-2000000000000000000-22-222-2000000000000000000
χ512-2-222-22-22-2-2000022-2-2222-2-2-22-22000000-2-22000022-22-20000-22-22000000000000000000-22-22-22000000000000000000
χ522-2-222-22-22-2-2000022-2-2222-2-2-22-22000000-2-2200002-22-220000-22-220000000000000000002-22-22-2000000000000000000
χ532-2-2-222-2222-22-22-2-22-2-2-2-222200002-200002-222-22-2-200000000000000002-20000000000002-2-2200002-2-22000000000000
χ542-2-2-222-2222-22-22-2-22-2-2-2-222200002-200002-222-22-2-200000000000000002-2000000000000-222-20000-222-2000000000000
χ552-2-2-222-2222-2-22-22-22-2-2-2-22220000-2200002-22-22-22-20000000000000000-220000000000002-2-220000-222-2000000000000
χ562-2-2-222-2222-2-22-22-22-2-2-2-22220000-2200002-22-22-22-20000000000000000-22000000000000-222-200002-2-22000000000000
χ572-2-2-222-222-222-22-22-2-2-2-2-22222-2-22-222-2-22-22-22-22-22000000002-2-220000-222-2-2200000000000000000000000000000000
χ582-2-2-222-222-222-22-22-2-2-2-2-2222-222-2-22-222-2-22-22-22-2200000000-222-20000-22-222-200000000000000000000000000000000
χ592-2-2-222-222-22-22-222-2-2-2-2-22222-2-222-2-222-2-22-2-22-222000000002-2-2200002-2-222-200000000000000000000000000000000
χ602-2-2-222-222-22-22-222-2-2-2-2-2222-222-22-22-2-22-22-2-22-22200000000-222-200002-22-2-2200000000000000000000000000000000
χ612-2-2-222-22-1-222-22-22-21111-1-1-12-2-22-222-2-221-11-11-11-100000000-111-100001-1-111-1−i3i3−i3i3−i3i3−i3i300000000000000−i3i3−i3i3000000
χ622-2-2-222-22-1-222-22-22-21111-1-1-12-2-22-222-2-221-11-11-11-100000000-111-100001-1-111-1i3−i3i3−i3i3−i3i3−i300000000000000i3−i3i3−i3000000
χ632-2-2-222-22-1-222-22-22-21111-1-1-1-222-2-22-222-21-11-11-11-1000000001-1-1100001-11-1-11−i3i3−i3i3−i3i3−i3i300000000000000i3−i3i3−i3000000
χ642-2-2-222-22-1-222-22-22-21111-1-1-1-222-2-22-222-21-11-11-11-1000000001-1-1100001-11-1-11i3−i3i3−i3i3−i3i3−i300000000000000−i3i3−i3i3000000
χ652-2-2-222-22-1-22-22-222-21111-1-1-12-2-222-2-222-21-111-11-1-100000000-111-10000-111-1-11−i3i3−i3i3i3−i3i3−i300000000000000−i3i3i3−i3000000
χ662-2-2-222-22-1-22-22-222-21111-1-1-12-2-222-2-222-21-111-11-1-100000000-111-10000-111-1-11i3−i3i3−i3−i3i3−i3i300000000000000i3−i3−i3i3000000
χ672-2-2-222-22-1-22-22-222-21111-1-1-1-222-22-22-2-221-111-11-1-1000000001-1-110000-11-111-1−i3i3−i3i3i3−i3i3−i300000000000000i3−i3−i3i3000000
χ682-2-2-222-22-1-22-22-222-21111-1-1-1-222-22-22-2-221-111-11-1-1000000001-1-110000-11-111-1i3−i3i3−i3−i3i3−i3i300000000000000−i3i3i3−i3000000
χ6944444444-2-4-44444-4-4-2-2-2-2-2-2-20000-4-40000222-2-2-2-22000000000000000022000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-20000440000222222220000000000000000-2-2000000000000000000000000000000000000
χ71444-44-4-4-4-24-400004-4-2-222-22244-4-4000000-2220000-200000000-2-222000000000000000000000000000000000000000000
χ72444-44-4-4-4-24-400004-4-2-222-222-4-444000000-2220000-20000000022-2-2000000000000000000000000000000000000000000
χ73444-44-4-4-4-2-440000-44-2-222-2220000004i4i−4i−4i2-2-200002000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ74444-44-4-4-4-2-440000-44-2-222-222000000−4i−4i4i4i2-2-2000020000000000000000002i2i−2i−2i00000000000000000000000000000000
χ7544-44-44-4-44000000004-4-44-44-400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ7644-44-44-4-44000000004-4-44-44-40000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ7744-4-4-4-444-20044-4-400-22-2222-20000000000000-2-222000000000000022−2222−22000000−2−222−2−222000000000000000000000000
χ7844-4-4-4-444-20044-4-400-22-2222-20000000000000-2-2220000000000000−2222−222200000022−2−222−2−2000000000000000000000000
χ7944-4-4-4-444-200-4-44400-22-2222-2000000000000022-2-2000000000000022−22−2222000000−2−22222−2−2000000000000000000000000
χ8044-4-4-4-444-200-4-44400-22-2222-2000000000000022-2-20000000000000−222222−2200000022−2−2−2−222000000000000000000000000
χ814-444-4-4-444004-4-4400-44-44-4-4400000000000004-4-440000000000000000000000000000000000000000000000000000000
χ824-444-4-4-44400-444-400-44-44-4-440000000000000-444-40000000000000000000000000000000000000000000000000000000
χ834-444-4-4-44-2004-4-44002-22-222-20000000000000-222-200000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ844-444-4-4-44-2004-4-44002-22-222-20000000000000-222-200000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ854-444-4-4-44-200-444-4002-22-222-200000000000002-2-2200000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ864-444-4-4-44-200-444-4002-22-222-200000000000002-2-2200000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ874-44-4-444-4400000000-444-4-44-40000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ884-44-4-444-4400000000-444-4-44-4000000000000000000-444-400000000000000000000000000000000000000000000000000
χ894-4-444-44-4-2440000-4-422-2-2-2220000004i−4i4i−4i-2-2200002000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ904-4-444-44-4-2440000-4-422-2-2-222000000−4i4i−4i4i-2-22000020000000000000000002i−2i2i−2i00000000000000000000000000000000
χ914-4-444-44-4-2-4-400004422-2-2-2224-44-400000022-20000-200000000-22-22000000000000000000000000000000000000000000
χ924-4-444-44-4-2-4-400004422-2-2-222-44-4400000022-20000-2000000002-22-2000000000000000000000000000000000000000000
χ934-4-4-444-44-24-44-44-4-442222-2-2-200004-40000-22-2-22-2220000000000000000-22000000000000000000000000000000000000
χ944-4-4-444-44-24-4-44-44-442222-2-2-20000-440000-22-22-22-2200000000000000002-2000000000000000000000000000000000000
χ9588-88-88-8-8-400000000-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-888-8-4000000004-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000

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