Finite Group Databasebeta

← Group #10849229

Character table — Group #10849229

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444444444444444444444448888121212121212121216161616161616161616242424242424242424242424
order122222223444444446666666448888888812121212121212121212121224242424242424242424242424242424444444444444441212121212121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111
χ91111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111111-111-1-111-1-1-1-111-1-11-111-1-1
χ101111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-111-1-111-1-111-1-111-11-1-111
χ111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-11111-1-1111-111-1-1
χ121111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-11-1-111-1-111-1-111-1-1-11-1-111
χ131111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1111-1-1-1-111-1-1-1-1111-1-1-111
χ141111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1111-1-1
χ151111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-1-1-11111-1-11111-1-11-1-1-111
χ161111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111111-1-1-11111-1-1-1-1-1-111-1111-1-1
χ17222222222-22222-2-2-22222222-2-200000000-2-2-2-2-2-22222-2-200000000000000000000222200000000000000000000-2-20000
χ18222222222-22222-2-2-22222222-2-200000000-2-2-2-2-2-22222-2-200000000000000000000-2-2-2-200000000000000000000220000
χ19222222222-2-2-2-2-2-2-2-2222222222000000002222-2-2-2-2-2-2-2-20000000000000000000022-2-200000000000000000000-220000
χ20222222222-2-2-2-2-2-2-2-2222222222000000002222-2-2-2-2-2-2-2-200000000000000000000-2-222000000000000000000002-20000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-211111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111222200000000-2-2-1-1-1-11111000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-200000000221111-1-1-1-1000000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-2000000002-2-1-111-1-111000000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-22200000000-2211-1-111-1-1000000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-200000000-22-1-11111-1-1000000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-222000000002-211-1-1-1-111000000000000
χ29222-2-2-2-222022-2-200022-2-2-22-200−i2−i2i2i2−i2−i2i2i200000022-2-200−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200002i−2i2i−2i00000000000000000000002−22−2
χ30222-2-2-2-222022-2-200022-2-2-22-200−i2−i2i2i2−i2−i2i2i200000022-2-200−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i−2i2i0000000000000000000000−22−22
χ31222-2-2-2-222022-2-200022-2-2-22-200i2i2−i2−i2i2i2−i2−i200000022-2-200i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200002i−2i2i−2i0000000000000000000000−22−22
χ32222-2-2-2-222022-2-200022-2-2-22-200i2i2−i2−i2i2i2−i2−i200000022-2-200i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i−2i2i00000000000000000000002−22−2
χ33222-2-2-2-2220-2-22200022-2-2-22-200−i2−i2i2i2i2i2−i2−i2000000-2-22200−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200002i−2i−2i2i00000000000000000000002−2−22
χ34222-2-2-2-2220-2-22200022-2-2-22-200−i2−i2i2i2i2i2−i2−i2000000-2-22200−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000−2i2i2i−2i0000000000000000000000−222−2
χ35222-2-2-2-2220-2-22200022-2-2-22-200i2i2−i2−i2−i2−i2i2i2000000-2-22200i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200002i−2i−2i2i0000000000000000000000−222−2
χ36222-2-2-2-2220-2-22200022-2-2-22-200i2i2−i2−i2−i2−i2i2i2000000-2-22200i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000−2i2i2i−2i00000000000000000000002−2−22
χ3722-222-2-2-22-200002-222-22-2-2-220000002i−2i2i−2i00002-200002-2000000002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i000000000000002-2000000
χ3822-222-2-2-22-200002-222-22-2-2-220000002i−2i2i−2i00002-200002-2000000002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i00000000000000-22000000
χ3922-222-2-2-22-200002-222-22-2-2-22000000−2i2i−2i2i00002-200002-200000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i00000000000000-22000000
χ4022-222-2-2-22-200002-222-22-2-2-22000000−2i2i−2i2i00002-200002-200000000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i000000000000002-2000000
χ412-222-22-2-22-20000-222-22-22-2-22002i−2i2i−2i000000002-20000-222i2i−2i−2i2i2i−2i−2i00000000000000002i−2i2i−2i0000000000002-200000000
χ422-222-22-2-22-20000-222-22-22-2-22002i−2i2i−2i000000002-20000-222i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i−2i2i000000000000-2200000000
χ432-222-22-2-22-20000-222-22-22-2-2200−2i2i−2i2i000000002-20000-22−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i2i−2i000000000000-2200000000
χ442-222-22-2-22-20000-222-22-22-2-2200−2i2i−2i2i000000002-20000-22−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i−2i2i0000000000002-200000000
χ452-2-22-2-222222-22-2-2-22-2-2-2-22222-20000000022-2-2222-22-2-2-20000000000000000000000002-2-2200000000002-20000000000
χ462-2-22-2-222222-22-2-2-22-2-2-2-22222-20000000022-2-2222-22-2-2-2000000000000000000000000-222-20000000000-220000000000
χ472-2-22-2-22222-22-22-2-22-2-2-2-2222-2200000000-2-22222-22-22-2-20000000000000000000000002-2-220000000000-220000000000
χ482-2-22-2-22222-22-22-2-22-2-2-2-2222-2200000000-2-22222-22-22-2-2000000000000000000000000-222-200000000002-20000000000
χ492-2-22-2-2222-22-22-222-2-2-2-2-2222-2200000000-2-222-2-22-22-22200000000000000002-22-200000000002-22-20000000000000000
χ502-2-22-2-2222-22-22-222-2-2-2-2-2222-2200000000-2-222-2-22-22-2220000000000000000-22-220000000000-22-220000000000000000
χ512-2-22-2-2222-2-22-2222-2-2-2-2-22222-20000000022-2-2-2-2-22-222200000000000000002-2-2200000000002-2-220000000000000000
χ522-2-22-2-2222-2-22-2222-2-2-2-2-22222-20000000022-2-2-2-2-22-22220000000000000000-222-20000000000-222-20000000000000000
χ532-2-22-2-222-1-22-22-222-21111-1-1-1-220000000011-1-111-11-11-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-22-20000000000-11-11−i3i3−i3i3000000000000
χ542-2-22-2-222-1-22-22-222-21111-1-1-1-220000000011-1-111-11-11-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-22-2200000000001-11-1i3−i3i3−i3000000000000
χ552-2-22-2-222-1-22-22-222-21111-1-1-1-220000000011-1-111-11-11-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-22-20000000000-11-11i3−i3i3−i3000000000000
χ562-2-22-2-222-1-22-22-222-21111-1-1-1-220000000011-1-111-11-11-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-22-2200000000001-11-1−i3i3−i3i3000000000000
χ572-2-22-2-222-1-2-22-2222-21111-1-1-12-200000000-1-111111-11-1-1-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i32-2-220000000000-111-1−i3i3i3−i3000000000000
χ582-2-22-2-222-1-2-22-2222-21111-1-1-12-200000000-1-111111-11-1-1-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3-222-200000000001-1-11i3−i3−i3i3000000000000
χ592-2-22-2-222-1-2-22-2222-21111-1-1-12-200000000-1-111111-11-1-1-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i32-2-220000000000-111-1i3−i3−i3i3000000000000
χ602-2-22-2-222-1-2-22-2222-21111-1-1-12-200000000-1-111111-11-1-1-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3-222-200000000001-1-11−i3i3i3−i3000000000000
χ6144444444-2-44444-4-4-4-2-2-2-2-2-2-2-4-400000000222222-2-2-2-22200000000000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24400000000-2-2-2-22222222200000000000000000000000000000000000000000000000000
χ63444-4-4-4-44-2044-4-4000-2-2222-2200−2i2−2i22i22i2−2i2−2i22i22i2000000-2-22200i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000000000000000000000
χ64444-4-4-4-44-2044-4-4000-2-2222-22002i22i2−2i2−2i22i22i2−2i2−2i2000000-2-22200−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000000000000000000000
χ65444-4-4-4-44-20-4-444000-2-2222-2200−2i2−2i22i22i22i22i2−2i2−2i200000022-2-200i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000000000000000000000000000000000
χ66444-4-4-4-44-20-4-444000-2-2222-22002i22i2−2i2−2i2−2i2−2i22i22i200000022-2-200−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000000000000000000000000000000000
χ6744-444-4-4-4440000-44-44-44-4-4-4400000000000000-440000-4400000000000000000000000000000000000000000000000000
χ6844-444-4-4-4-240000-44-4-22-2222-2000000000000002-200002-223−23−232323−23−2323000000000000000000000000000000000000000000
χ6944-444-4-4-4-240000-44-4-22-2222-2000000000000002-200002-2−232323−23−232323−23000000000000000000000000000000000000000000
χ7044-444-4-4-4-2-400004-44-22-2222-20000004i−4i4i−4i0000-220000-2200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ7144-444-4-4-4-2-400004-44-22-2222-2000000−4i4i−4i4i0000-220000-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ7244-4-4-444-44000000004-4-444-4-400000022−22−2222000000000000000000002222−22−22−22−2222220000000000000000000000000000000000
χ7344-4-4-444-44000000004-4-444-4-4000000−222222−2200000000000000000000−22−2222222222−22−220000000000000000000000000000000000
χ7444-4-4-444-4-200000000-222-2-22200000022−22−2222−2i32i3−2i32i300000000i6−i6−i6i6−i6i6i6−i6−2−22222−2−20000000000000000000000000000000000
χ7544-4-4-444-4-200000000-222-2-22200000022−22−22222i3−2i32i3−2i300000000−i6i6i6−i6i6−i6−i6i6−2−22222−2−20000000000000000000000000000000000
χ7644-4-4-444-4-200000000-222-2-222000000−222222−22−2i32i3−2i32i300000000−i6i6i6−i6i6−i6−i6i622−2−2−2−2220000000000000000000000000000000000
χ7744-4-4-444-4-200000000-222-2-222000000−222222−222i3−2i32i3−2i300000000i6−i6−i6i6−i6i6i6−i622−2−2−2−2220000000000000000000000000000000000
χ784-444-44-4-44400004-4-4-44-44-4-4400000000000000-4400004-400000000000000000000000000000000000000000000000000
χ794-444-44-4-4-2400004-4-42-22-222-2000000000000002-20000-220000000023−23−232323−23−23230000000000000000000000000000000000
χ804-444-44-4-4-2400004-4-42-22-222-2000000000000002-20000-2200000000−232323−23−232323−230000000000000000000000000000000000
χ814-444-44-4-4-2-40000-4442-22-222-2004i−4i4i−4i00000000-2200002-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000
χ824-444-44-4-4-2-40000-4442-22-222-200−4i4i−4i4i00000000-2200002-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000
χ834-44-44-44-4400000000-444-44-4-40022−22−222200000000000000002222−22−22−22−222222000000000000000000000000000000000000000000
χ844-44-44-44-4400000000-444-44-4-400−222222−220000000000000000−22−2222222222−22−22000000000000000000000000000000000000000000
χ854-44-44-44-4-2000000002-2-22-2220022−22−22220000−2i32i32i3−2i300000000−2−22222−2−2−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000000
χ864-44-44-44-4-2000000002-2-22-2220022−22−222200002i3−2i3−2i32i300000000−2−22222−2−2i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000000
χ874-44-44-44-4-2000000002-2-22-22200−222222−220000−2i32i32i3−2i30000000022−2−2−2−222i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000000
χ884-44-44-44-4-2000000002-2-22-22200−222222−2200002i3−2i3−2i32i30000000022−2−2−2−222−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000000
χ894-4-44-4-444-244-44-4-4-442222-2-2-24-400000000-2-222-2-2-22-222200000000000000000000000000000000000000000000000000
χ904-4-44-4-444-24-44-44-4-442222-2-2-2-440000000022-2-2-2-22-22-22200000000000000000000000000000000000000000000000000
χ914-4-4-444-44404-4-44000-4-444-44-400000000000000004-4-440000000000000000000000000000000000000000000000000000
χ924-4-4-444-4440-444-4000-4-444-44-40000000000000000-444-40000000000000000000000000000000000000000000000000000
χ934-4-4-444-44-204-4-4400022-2-22-220000000000000000-222-2006−66−6−66−666−66−6−66−660000000000000000000000000000000000
χ944-4-4-444-44-204-4-4400022-2-22-220000000000000000-222-200−66−666−66−6−66−666−66−60000000000000000000000000000000000
χ954-4-4-444-44-20-444-400022-2-22-2200000000000000002-2-22006−66−6−66−66−66−666−66−60000000000000000000000000000000000
χ964-4-4-444-44-20-444-400022-2-22-2200000000000000002-2-2200−66−666−66−66−66−6−66−660000000000000000000000000000000000

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