Finite Group Databasebeta

← Group #10849238

Character table — Group #10849238

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444444444444444444444448888121212121212121216161616161616161616242424242424242424242424
order122222223444444446666666448888888812121212121212121212121224242424242424242424242424242424444444444444441212121212121212444444448888
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
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111111-111-1-111-1-111-1-1-1-11-111-1-1
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-111-1-111-1-1-1-11111-11-1-111
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111-1-111111-111-1-1
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-11-1-111-1-11111-1-1-1-1-11-1-111
χ13111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1111-1-1-1-111-1-111-1-11-1-1-111
χ14111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1111-1-1-1-11111-1-111-1111-1-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-1-1-11111-1-111-1-1111-1-1-111
χ16111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111111-1-1-11111-1-1-1-111-1-1-1111-1-1
χ172222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2-2-2-2-200000000000000000000222200000000000000000000-2-20000
χ182222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-200000000000000000000220000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-22222-2-20000000000000000000022-2-200000000000000000000-220000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-22222-2-200000000000000000000-2-222000000000000000000002-20000
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
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-2000000002-2-1-111-1-111000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-22200000000-2211-1-111-1-1000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-200000000-22-1-11111-1-1000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-222000000002-211-1-1-1-111000000000000
χ29222-2-22-2-2222-2-2000022-2-22-2-20022−2−222−2−222-2-2000000002222−2−2−2−22222−2−2−2−200002-22-200000000000000000000002−22−2
χ30222-2-22-2-2222-2-2000022-2-22-2-20022−2−222−2−222-2-2000000002222−2−2−2−22222−2−2−2−20000-22-220000000000000000000000−22−22
χ31222-2-22-2-2222-2-2000022-2-22-2-200−2−222−2−22222-2-200000000−2−2−2−22222−2−2−2−2222200002-22-20000000000000000000000−22−22
χ32222-2-22-2-2222-2-2000022-2-22-2-200−2−222−2−22222-2-200000000−2−2−2−22222−2−2−2−222220000-22-2200000000000000000000002−22−2
χ33222-2-22-2-22-2-222000022-2-22-2-20022−2−2−2−222-2-222000000002222−2−2−2−2−2−2−2−2222200002-2-2200000000000000000000002−2−22
χ34222-2-22-2-22-2-222000022-2-22-2-20022−2−2−2−222-2-222000000002222−2−2−2−2−2−2−2−222220000-222-20000000000000000000000−222−2
χ35222-2-22-2-22-2-222000022-2-22-2-200−2−22222−2−2-2-22200000000−2−2−2−222222222−2−2−2−200002-2-220000000000000000000000−222−2
χ36222-2-22-2-22-2-222000022-2-22-2-200−2−22222−2−2-2-22200000000−2−2−2−222222222−2−2−2−20000-222-200000000000000000000002−2−22
χ3722-22-2-22-220000-22-222-22-2-22-20000002i−2i2i−2i00002-200002-2000000002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i0000000000002-200000000
χ3822-22-2-22-220000-22-222-22-2-22-20000002i−2i2i−2i00002-200002-2000000002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i000000000000-2200000000
χ3922-22-2-22-220000-22-222-22-2-22-2000000−2i2i−2i2i00002-200002-200000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i000000000000-2200000000
χ4022-22-2-22-220000-22-222-22-2-22-2000000−2i2i−2i2i00002-200002-200000000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i0000000000002-200000000
χ412-22-22-22-220000-2-222-22-22-22-2002i−2i2i−2i000000002-20000-222i2i−2i−2i2i2i−2i−2i00000000000000002i−2i2i−2i00000000002-20000000000
χ422-22-22-22-220000-2-222-22-22-22-2002i−2i2i−2i000000002-20000-222i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i−2i2i0000000000-220000000000
χ432-22-22-22-220000-2-222-22-22-22-200−2i2i−2i2i000000002-20000-22−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i2i−2i0000000000-220000000000
χ442-22-22-22-220000-2-222-22-22-22-200−2i2i−2i2i000000002-20000-22−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i−2i2i00000000002-20000000000
χ452-2-2-2-222222-22-22-2-22-2-2-2-22222-2000000002-22-22222-2-2-2-20000000000000000000000002-2-22000000000000002-2000000
χ462-2-2-2-222222-22-22-2-22-2-2-2-22222-2000000002-22-22222-2-2-2-2000000000000000000000000-222-200000000000000-22000000
χ472-2-2-2-222222-22-2-222-2-2-2-2-2222-22000000002-22-2-2-2-2-2222200000000000000002-22-200000000002-22-20000000000000000
χ482-2-2-2-222222-22-2-222-2-2-2-2-2222-22000000002-22-2-2-2-2-222220000000000000000-22-220000000000-22-220000000000000000
χ492-2-2-2-22222-22-222-2-22-2-2-2-2222-2200000000-22-2222-2-222-2-20000000000000000000000002-2-2200000000000000-22000000
χ502-2-2-2-22222-22-222-2-22-2-2-2-2222-2200000000-22-2222-2-222-2-2000000000000000000000000-222-2000000000000002-2000000
χ512-2-2-2-22222-22-22-222-2-2-2-2-22222-200000000-22-22-2-222-2-22200000000000000002-2-2200000000002-2-220000000000000000
χ522-2-2-2-22222-22-22-222-2-2-2-2-22222-200000000-22-22-2-222-2-2220000000000000000-222-20000000000-222-20000000000000000
χ532-2-2-2-2222-12-22-2-222-21111-1-1-1-2200000000-11-111111-1-1-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32-22-20000000000-11-11−i3i3−i3i3000000000000
χ542-2-2-2-2222-12-22-2-222-21111-1-1-1-2200000000-11-111111-1-1-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-22-2200000000001-11-1i3−i3i3−i3000000000000
χ552-2-2-2-2222-12-22-2-222-21111-1-1-1-2200000000-11-111111-1-1-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32-22-20000000000-11-11i3−i3i3−i3000000000000
χ562-2-2-2-2222-12-22-2-222-21111-1-1-1-2200000000-11-111111-1-1-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-22-2200000000001-11-1−i3i3−i3i3000000000000
χ572-2-2-2-2222-1-22-22-222-21111-1-1-12-2000000001-11-111-1-111-1-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i32-2-220000000000-111-1−i3i3i3−i3000000000000
χ582-2-2-2-2222-1-22-22-222-21111-1-1-12-2000000001-11-111-1-111-1-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3-222-200000000001-1-11i3−i3−i3i3000000000000
χ592-2-2-2-2222-1-22-22-222-21111-1-1-12-2000000001-11-111-1-111-1-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i32-2-220000000000-111-1i3−i3−i3i3000000000000
χ602-2-2-2-2222-1-22-22-222-21111-1-1-12-2000000001-11-111-1-111-1-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3-222-200000000001-1-11−i3i3i3−i3000000000000
χ6144444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-400000000-2-2-2-22222222200000000000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24400000000222222-2-2-2-22200000000000000000000000000000000000000000000000000
χ63444-4-44-4-4-244-4-40000-2-222-222002222−22−222222−22−22-2-22200000000−2−2−2−22222−2−2−2−222220000000000000000000000000000000000
χ64444-4-44-4-4-244-4-40000-2-222-22200−22−222222−22−222222-2-222000000002222−2−2−2−22222−2−2−2−20000000000000000000000000000000000
χ65444-4-44-4-4-2-4-4440000-2-222-222002222−22−22−22−22222222-2-200000000−2−2−2−222222222−2−2−2−20000000000000000000000000000000000
χ66444-4-44-4-4-2-4-4440000-2-222-22200−22−2222222222−22−2222-2-2000000002222−2−2−2−2−2−2−2−222220000000000000000000000000000000000
χ6744-44-4-44-4400004-44-44-44-4-44-400000000000000-440000-4400000000000000000000000000000000000000000000000000
χ6844-44-4-44-4-200004-44-4-22-222-22000000000000002-200002-223−23−232323−23−2323000000000000000000000000000000000000000000
χ6944-44-4-44-4-200004-44-4-22-222-22000000000000002-200002-2−232323−23−232323−23000000000000000000000000000000000000000000
χ7044-44-4-44-4-20000-44-44-22-222-220000004i−4i4i−4i0000-220000-2200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ7144-44-4-44-4-20000-44-44-22-222-22000000−4i4i−4i4i0000-220000-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ7244-4-44-4-444000000004-4-44-4-44000000−2i22i22i2−2i200000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ7344-4-44-4-444000000004-4-44-4-440000002i2−2i2−2i22i2000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ7444-4-44-4-44-200000000-222-222-2000000−2i22i22i2−2i2000000−2i32i3−2i32i3006−6−66−666−6i2i2−i2−i2−i2−i2i2i20000000000000000000000000000000000
χ7544-4-44-4-44-200000000-222-222-2000000−2i22i22i2−2i20000002i3−2i32i3−2i300−666−66−6−66i2i2−i2−i2−i2−i2i2i20000000000000000000000000000000000
χ7644-4-44-4-44-200000000-222-222-20000002i2−2i2−2i22i2000000−2i32i3−2i32i300−666−66−6−66−i2−i2i2i2i2i2−i2−i20000000000000000000000000000000000
χ7744-4-44-4-44-200000000-222-222-20000002i2−2i2−2i22i20000002i3−2i32i3−2i3006−6−66−666−6−i2−i2i2i2i2i2−i2−i20000000000000000000000000000000000
χ784-444-4-4-44400000000-444-4-4-4400−2i22i22i2−2i20000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ794-444-4-4-44400000000-444-4-4-44002i2−2i2−2i22i200000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ804-444-4-4-44-2000000002-2-2222-200−2i22i22i2−2i20000000000−2i32i32i3−2i300i2i2−i2−i2−i2−i2i2i2−666−66−6−660000000000000000000000000000000000
χ814-444-4-4-44-2000000002-2-2222-200−2i22i22i2−2i200000000002i3−2i3−2i32i300i2i2−i2−i2−i2−i2i2i26−6−66−666−60000000000000000000000000000000000
χ824-444-4-4-44-2000000002-2-2222-2002i2−2i2−2i22i20000000000−2i32i32i3−2i300−i2−i2i2i2i2i2−i2−i26−6−66−666−60000000000000000000000000000000000
χ834-444-4-4-44-2000000002-2-2222-2002i2−2i2−2i22i200000000002i3−2i3−2i32i300−i2−i2i2i2i2i2−i2−i2−666−66−6−660000000000000000000000000000000000
χ844-44-44-44-44000044-4-4-44-44-44-400000000000000-4400004-400000000000000000000000000000000000000000000000000
χ854-44-44-44-4-2000044-4-42-22-22-22000000000000002-20000-220000000023−23−232323−23−23230000000000000000000000000000000000
χ864-44-44-44-4-2000044-4-42-22-22-22000000000000002-20000-2200000000−232323−23−232323−230000000000000000000000000000000000
χ874-44-44-44-4-20000-4-4442-22-22-22004i−4i4i−4i00000000-2200002-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000
χ884-44-44-44-4-20000-4-4442-22-22-2200−4i4i−4i4i00000000-2200002-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000
χ894-4-4444-4-444-4-440000-4-4444-4-400000000004-4-440000000000000000000000000000000000000000000000000000000000
χ904-4-4444-4-44-444-40000-4-4444-4-40000000000-444-40000000000000000000000000000000000000000000000000000000000
χ914-4-4444-4-4-24-4-44000022-2-2-2220000000000-222-200000000i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i60000000000000000000000000000000000
χ924-4-4444-4-4-24-4-44000022-2-2-2220000000000-222-200000000−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i60000000000000000000000000000000000
χ934-4-4444-4-4-2-444-4000022-2-2-22200000000002-2-2200000000i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6i6−i6i6−i60000000000000000000000000000000000
χ944-4-4444-4-4-2-444-4000022-2-2-22200000000002-2-2200000000−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6−i6i6−i6i60000000000000000000000000000000000
χ954-4-4-4-4444-24-44-44-4-442222-2-2-24-400000000-22-22-2-2-2-2222200000000000000000000000000000000000000000000000000
χ964-4-4-4-4444-2-44-444-4-442222-2-2-2-44000000002-22-2-2-222-2-22200000000000000000000000000000000000000000000000000

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