Finite Group Databasebeta

← Group #10828763

Character table — Group #10828763

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444488888888888888888888888812121212121212121212121216161616161624242424242424242424
order12222222222234444666666644444466661212121244888812121212121212121212242424242424242422448888888844121212122244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1
χ611111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111
χ711111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111111
χ811111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1
χ911111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-1111-111-1-1
χ1011111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-1-11-1-111
χ1111111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-111-1-1111-1-1-111
χ1211111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-1-11111-1-1-1111-1-1
χ1311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-11-1-111111-1-1-1-1-111
χ1411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-1-111111-1-1
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-111-1-1111-1-1-111-1-1
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11-111-1-1-1-1-1111-1-111
χ172222222222222-2-2-2-22222222-2-200002222-2-2-2-2000000-2-2000000000000000022220000000000000000-200-20000
χ182222222222222-2-2-2-22222222-2-200002222-2-2-2-2000000-2-20000000000000000-2-2-2-2000000000000000020020000
χ19222222222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000000000
χ20222222222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000000000-2-211110000000000
χ21222222222222-12222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-2-22222-1-111111111-1-1-1-1-1-1-1-1000000000000-2-211110000000000
χ22222222222222-12222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1111111111111111100000000000022-1-1-1-10000000000
χ2322222222-2-2-2-22-2-2-2-22222222220000-2-2-2-2-2-2-2-200000022000000000000000022-2-20000000000000000-20020000
χ2422222222-2-2-2-22-2-2-2-22222222220000-2-2-2-2-2-2-2-2000000220000000000000000-2-2220000000000000000200-20000
χ2522222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-222221111-1-1-1-1-2-222-2-211-1-1-1-11111-1-1-1-111110000000000002-2-1-1110000000000
χ2622222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-222221111-1-1-1-1-2-2-2-22211-1-1-1-111111111-1-1-1-1000000000000-2211-1-10000000000
χ2722222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-12222-2-2111111-1-1-1-1-1-1-1-11111000000000000-2211-1-10000000000
χ2822222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-2-222111111-1-1-1-11111-1-1-1-10000000000002-2-1-1110000000000
χ29222-2-2-22-222-2-22000022-2-2-2-2200000022-2-2000000−i2i2−i2i20000000000−i2−i2i2i2−i2−i2i2i22-22-2−i2−i2i2i2−i2−i2i2i20000000000000000
χ30222-2-2-22-222-2-22000022-2-2-2-2200000022-2-2000000−i2i2−i2i20000000000−i2−i2i2i2−i2−i2i2i2-22-22i2i2−i2−i2i2i2−i2−i20000000000000000
χ31222-2-2-22-222-2-22000022-2-2-2-2200000022-2-2000000i2−i2i2−i20000000000i2i2−i2−i2i2i2−i2−i22-22-2i2i2−i2−i2i2i2−i2−i20000000000000000
χ32222-2-2-22-222-2-22000022-2-2-2-2200000022-2-2000000i2−i2i2−i20000000000i2i2−i2−i2i2i2−i2−i2-22-22−i2−i2i2i2−i2−i2i2i20000000000000000
χ33222-2-2-22-2-2-2222000022-2-2-2-22000000-2-222000000−i2i2i2−i20000000000−i2−i2i2i2i2i2−i2−i22-2-22−i2−i2i2i2i2i2−i2−i20000000000000000
χ34222-2-2-22-2-2-2222000022-2-2-2-22000000-2-222000000−i2i2i2−i20000000000−i2−i2i2i2i2i2−i2−i2-222-2i2i2−i2−i2−i2−i2i2i20000000000000000
χ35222-2-2-22-2-2-2222000022-2-2-2-22000000-2-222000000i2−i2−i2i20000000000i2i2−i2−i2−i2−i2i2i22-2-22i2i2−i2−i2−i2−i2i2i20000000000000000
χ36222-2-2-22-2-2-2222000022-2-2-2-22000000-2-222000000i2−i2−i2i20000000000i2i2−i2−i2−i2−i2i2i2-222-2−i2−i2i2i2i2i2−i2−i20000000000000000
χ3722-22-22-2-200002-22-222-2-222-2-2002i2i−2i−2i00002-22-2000000002i2i−2i−2i00000000000000002-22-200000000000000002i−2i00
χ3822-22-22-2-200002-22-222-2-222-2-2002i2i−2i−2i00002-22-2000000002i2i−2i−2i0000000000000000-22-220000000000000000−2i2i00
χ3922-22-22-2-200002-22-222-2-222-2-200−2i−2i2i2i00002-22-200000000−2i−2i2i2i00000000000000002-22-20000000000000000−2i2i00
χ4022-22-22-2-200002-22-222-2-222-2-200−2i−2i2i2i00002-22-200000000−2i−2i2i2i0000000000000000-22-2200000000000000002i−2i00
χ412-22-222-2-200002-2-222-22-22-22-2002i−2i2i−2i00002-2-22000000002i−2i2i−2i000000000000000000002-22-2000000000000002i−2i
χ422-22-222-2-200002-2-222-22-22-22-2002i−2i2i−2i00002-2-22000000002i−2i2i−2i00000000000000000000-22-2200000000000000−2i2i
χ432-22-222-2-200002-2-222-22-22-22-200−2i2i−2i2i00002-2-2200000000−2i2i−2i2i000000000000000000002-22-200000000000000−2i2i
χ442-22-222-2-200002-2-222-22-22-22-200−2i2i−2i2i00002-2-2200000000−2i2i−2i2i00000000000000000000-22-22000000000000002i−2i
χ452-2-2-2-22222-22-222-2-22-2-222-2-222-22-2-222-22-222-2-22-200002-22-2-2222-2-2000000000000000000000000000000000000
χ462-2-2-2-22222-22-222-2-22-2-222-2-222-2-222-22-22-222-2-2-2200002-2-222-2-2-222000000000000000000000000000000000000
χ472-2-2-2-22222-22-22-222-2-2-222-2-22-2200002-22-2-2-222000000-2200000000000000000000000000000000002-202-200000
χ482-2-2-2-22222-22-22-222-2-2-222-2-22-2200002-22-2-2-222000000-220000000000000000000000000000000000-220-2200000
χ492-2-2-2-22222-22-2-12-2-2211-1-111-12-22-2-22-11-11-1-1112-20000-11-111-1-1-1113−33−33−33−3000000000000003−33−30000000000
χ502-2-2-2-22222-22-2-12-2-2211-1-111-12-22-2-22-11-11-1-1112-20000-11-111-1-1-111−33−33−33−3300000000000000−33−330000000000
χ512-2-2-2-22222-22-2-12-2-2211-1-111-12-2-222-2-11-11-1-111-220000-111-1-1111-1-13−33−33−33−300000000000000−33−330000000000
χ522-2-2-2-22222-22-2-12-2-2211-1-111-12-2-222-2-11-11-1-111-220000-111-1-1111-1-1−33−33−33−33000000000000003−33−30000000000
χ532-2-2-2-2222-22-2222-2-22-2-222-2-22-222-2-22-22-2222-2-2-220000-222-2-22-2-222000000000000000000000000000000000000
χ542-2-2-2-2222-22-2222-2-22-2-222-2-22-22-222-2-22-2222-2-22-20000-22-222-222-2-2000000000000000000000000000000000000
χ552-2-2-2-2222-22-222-222-2-2-222-2-222-20000-22-22-2-2220000002-200000000000000000000000000000000002-20-2200000
χ562-2-2-2-2222-22-222-222-2-2-222-2-222-20000-22-22-2-2220000002-20000000000000000000000000000000000-2202-200000
χ572-2-2-2-2222-22-22-12-2-2211-1-111-1-222-2-221-11-1-1-111-2200001-1-111-111-1-13−33−3−33−33000000000000003−3−330000000000
χ582-2-2-2-2222-22-22-12-2-2211-1-111-1-222-2-221-11-1-1-111-2200001-1-111-111-1-1−33−333−33−300000000000000−333−30000000000
χ592-2-2-2-2222-22-22-12-2-2211-1-111-1-22-222-21-11-1-1-1112-200001-11-1-11-1-1113−33−3−33−3300000000000000−333−30000000000
χ602-2-2-2-2222-22-22-12-2-2211-1-111-1-22-222-21-11-1-1-1112-200001-11-1-11-1-111−33−333−33−3000000000000003−3−330000000000
χ61444444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-40000-2-2-2-222220000002200000000000000000000000000000000000000000000
χ6244444444-4-4-4-4-2-4-4-4-4-2-2-2-2-2-2-244000022222222000000-2-200000000000000000000000000000000000000000000
χ63444-4-4-44-444-4-4-20000-2-22222-2000000-2-222000000−2i22i2−2i22i20000000000i2i2−i2−i2i2i2−i2−i20000000000000000000000000000
χ64444-4-4-44-444-4-4-20000-2-22222-2000000-2-2220000002i2−2i22i2−2i20000000000−i2−i2i2i2−i2−i2i2i20000000000000000000000000000
χ65444-4-4-44-4-4-444-20000-2-22222-200000022-2-2000000−2i22i22i2−2i20000000000i2i2−i2−i2−i2−i2i2i20000000000000000000000000000
χ66444-4-4-44-4-4-444-20000-2-22222-200000022-2-20000002i2−2i2−2i22i20000000000−i2−i2i2i2i2i2−i2−i20000000000000000000000000000
χ6744-44-44-4-4000044-44-44-4-444-4-40000000000-44-440000000000000000000000000000000000000000000000000000
χ6844-44-44-4-40000-24-44-4-222-2-22200000000002-22-200000000000023−2323−23000000000000000000000000000000000000
χ6944-44-44-4-40000-24-44-4-222-2-22200000000002-22-2000000000000−2323−2323000000000000000000000000000000000000
χ7044-44-44-4-40000-2-44-44-222-2-222004i4i−4i−4i0000-22-2200000000−2i−2i2i2i0000000000000000000000000000000000000000
χ7144-44-44-4-40000-2-44-44-222-2-22200−4i−4i4i4i0000-22-22000000002i2i−2i−2i0000000000000000000000000000000000000000
χ7244-4-44-4-440000400004-44-4-44-4000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ7344-4-44-4-440000400004-44-4-44-40000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ744-444-4-4-44000040000-444-44-4-40000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ754-444-4-4-44000040000-444-44-4-400000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ764-44-444-4-40000444-4-4-44-44-44-40000000000-444-40000000000000000000000000000000000000000000000000000
χ774-44-444-4-40000-244-4-42-22-22-2200000000002-2-2200000000000023−23−2323000000000000000000000000000000000000
χ784-44-444-4-40000-244-4-42-22-22-2200000000002-2-22000000000000−232323−23000000000000000000000000000000000000
χ794-44-444-4-40000-2-4-4442-22-22-22004i−4i4i−4i0000-222-200000000−2i2i−2i2i0000000000000000000000000000000000000000
χ804-44-444-4-40000-2-4-4442-22-22-2200−4i4i−4i4i0000-222-2000000002i−2i2i−2i0000000000000000000000000000000000000000
χ814-4-444-44-44-4-4440000-4-4-4-44440000004-4-4400000000000000000000000000000000000000000000000000000000
χ824-4-444-44-44-4-44-200002222-2-2-2000000-222-200000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000000000
χ834-4-444-44-44-4-44-200002222-2-2-2000000-222-200000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000000000
χ844-4-444-44-4-444-440000-4-4-4-4444000000-444-400000000000000000000000000000000000000000000000000000000
χ854-4-444-44-4-444-4-200002222-2-2-20000002-2-2200000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ864-4-444-44-4-444-4-200002222-2-2-20000002-2-2200000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ874-4-4-4-44444-44-4-2-444-422-2-222-2-440000-22-2222-2-20000002-200000000000000000000000000000000000000000000
χ884-4-4-4-4444-44-44-2-444-422-2-222-24-400002-22-222-2-2000000-2200000000000000000000000000000000000000000000
χ8988-8-88-8-880000-40000-44-444-44000000000000000000000000000000000000000000000000000000000000000000
χ908-888-8-8-880000-400004-4-44-444000000000000000000000000000000000000000000000000000000000000000000

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