Finite Group Databasebeta

← Group #10827340

Character table — Group #10827340

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444488888888888888888888888812121212121212121212121216161616161624242424242424242424
order12222222222234444666666644444466661212121244888812121212121212121212242424242424242422448888888844121212122222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ41111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ511111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ711111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ811111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111
χ911111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111-1-1-1111
χ1011111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-1111-1-1-1
χ1111111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-111-1-1-1-111-1111
χ1211111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-1-1111111-1-11-1-1-1
χ1311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-11-1-11111-1-111-11-1-1
χ1411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-111-1-11-111
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-111-1-11111-1-1-11-1-1
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11-111-1-1-1-1-1-1111-111
χ172222222222222-2-2-2-22222222-2-200002222-2-2-2-2000000-2-20000000000000000222200000000000000000000-2-200
χ182222222222222-2-2-2-22222222-2-200002222-2-2-2-2000000-2-20000000000000000-2-2-2-2000000000000000000002200
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
χ2322222222-2-2-2-22-2-2-2-22222222220000-2-2-2-2-2-2-2-200000022000000000000000022-2-2000000000000000000002-200
χ2422222222-2-2-2-22-2-2-2-22222222220000-2-2-2-2-2-2-2-2000000220000000000000000-2-22200000000000000000000-2200
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
χ2922-22-2-22-20000222-2-22-2-222-2-2002i2i−2i−2i00002-22-2000000002i2i−2i−2i000000000000000000002i2i−2i−2i00000000002-20000
χ3022-22-2-22-20000222-2-22-2-222-2-2002i2i−2i−2i00002-22-2000000002i2i−2i−2i00000000000000000000−2i−2i2i2i0000000000-220000
χ3122-22-2-22-20000222-2-22-2-222-2-200−2i−2i2i2i00002-22-200000000−2i−2i2i2i000000000000000000002i2i−2i−2i0000000000-220000
χ3222-22-2-22-20000222-2-22-2-222-2-200−2i−2i2i2i00002-22-200000000−2i−2i2i2i00000000000000000000−2i−2i2i2i00000000002-20000
χ332-22-22-22-2000022-22-2-22-22-22-2002i−2i2i−2i00002-2-22000000002i−2i2i−2i00000000000000002i2i−2i−2i0000000000002-2000000
χ342-22-22-22-2000022-22-2-22-22-22-2002i−2i2i−2i00002-2-22000000002i−2i2i−2i0000000000000000−2i−2i2i2i000000000000-22000000
χ352-22-22-22-2000022-22-2-22-22-22-200−2i2i−2i2i00002-2-2200000000−2i2i−2i2i00000000000000002i2i−2i−2i000000000000-22000000
χ362-22-22-22-2000022-22-2-22-22-22-200−2i2i−2i2i00002-2-2200000000−2i2i−2i2i0000000000000000−2i−2i2i2i0000000000002-2000000
χ372-2-222-2-2222-2-220000-2-2-2-222200000022-2-20000002−22−2000000000022−2−222−2−22-22-22−22−22−22−20000000000000000
χ382-2-222-2-2222-2-220000-2-2-2-222200000022-2-20000002−22−2000000000022−2−222−2−2-22-22−22−22−22−220000000000000000
χ392-2-222-2-2222-2-220000-2-2-2-222200000022-2-2000000−22−220000000000−2−222−2−2222-22-2−22−22−22−220000000000000000
χ402-2-222-2-2222-2-220000-2-2-2-222200000022-2-2000000−22−220000000000−2−222−2−222-22-222−22−22−22−20000000000000000
χ412-2-222-2-22-2-22220000-2-2-2-2222000000-2-2220000002−2−22000000000022−2−2−2−2222-2-222−22−2−22−220000000000000000
χ422-2-222-2-22-2-22220000-2-2-2-2222000000-2-2220000002−2−22000000000022−2−2−2−222-222-2−22−222−22−20000000000000000
χ432-2-222-2-22-2-22220000-2-2-2-2222000000-2-222000000−222−20000000000−2−22222−2−22-2-22−22−222−22−20000000000000000
χ442-2-222-2-22-2-22220000-2-2-2-2222000000-2-222000000−222−20000000000−2−22222−2−2-222-22−22−2−22−220000000000000000
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
χ472-2-2-2-22222-22-22-222-2-2-222-2-22-2200002-22-2-2-222000000-2200000000000000000000000000000000002-20000002-2
χ482-2-2-2-22222-22-22-222-2-2-222-2-22-2200002-22-2-2-222000000-220000000000000000000000000000000000-22000000-22
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
χ552-2-2-2-2222-22-222-222-2-2-222-2-222-20000-22-22-2-2220000002-200000000000000000000000000000000002-2000000-22
χ562-2-2-2-2222-22-222-222-2-2-222-2-222-20000-22-22-2-2220000002-20000000000000000000000000000000000-220000002-2
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
χ63444-4-4-4-444-4-444000044-4-4-4-440000004-4-4400000000000000000000000000000000000000000000000000000000
χ64444-4-4-4-444-4-44-20000-2-22222-2000000-222-2000000000000000000006−6−666−6−660000000000000000000000000000
χ65444-4-4-4-444-4-44-20000-2-22222-2000000-222-200000000000000000000−666−6−666−60000000000000000000000000000
χ66444-4-4-4-44-444-44000044-4-4-4-44000000-444-400000000000000000000000000000000000000000000000000000000
χ67444-4-4-4-44-444-4-20000-2-22222-20000002-2-22000000000000000000006−6−66−666−60000000000000000000000000000
χ68444-4-4-4-44-444-4-20000-2-22222-20000002-2-2200000000000000000000−666−66−6−660000000000000000000000000000
χ6944-44-4-44-400004-4-4444-4-444-4-40000000000-44-440000000000000000000000000000000000000000000000000000
χ7044-44-4-44-40000-244-4-4-222-2-222004i4i−4i−4i0000-22-2200000000−2i−2i2i2i0000000000000000000000000000000000000000
χ7144-44-4-44-40000-244-4-4-222-2-22200−4i−4i4i4i0000-22-22000000002i2i−2i−2i0000000000000000000000000000000000000000
χ7244-44-4-44-40000-2-4-444-222-2-22200000000002-22-200000000000023−2323−23000000000000000000000000000000000000
χ7344-44-4-44-40000-2-4-444-222-2-22200000000002-22-2000000000000−2323−2323000000000000000000000000000000000000
χ7444-4-444-4-40000400004-44-4-44-4000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ7544-4-444-4-40000400004-44-4-44-40000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ764-444-44-4-4000040000-444-44-4-40000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ774-444-44-4-4000040000-444-44-4-400000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ784-44-44-44-400004-44-44-44-44-44-40000000000-444-40000000000000000000000000000000000000000000000000000
χ794-44-44-44-40000-24-44-42-22-22-22004i−4i4i−4i0000-222-200000000−2i2i−2i2i0000000000000000000000000000000000000000
χ804-44-44-44-40000-24-44-42-22-22-2200−4i4i−4i4i0000-222-2000000002i−2i2i−2i0000000000000000000000000000000000000000
χ814-44-44-44-40000-2-44-442-22-22-2200000000002-2-2200000000000023−23−2323000000000000000000000000000000000000
χ824-44-44-44-40000-2-44-442-22-22-2200000000002-2-22000000000000−232323−23000000000000000000000000000000000000
χ834-4-444-4-4444-4-4-200002222-2-2-2000000-2-22200000022−2222−220000000000−2−222−2−2220000000000000000000000000000
χ844-4-444-4-4444-4-4-200002222-2-2-2000000-2-222000000−2222−2222000000000022−2−222−2−20000000000000000000000000000
χ854-4-444-4-44-4-444-200002222-2-2-200000022-2-200000022−22−22220000000000−2−22222−2−20000000000000000000000000000
χ864-4-444-4-44-4-444-200002222-2-2-200000022-2-2000000−222222−22000000000022−2−2−2−2220000000000000000000000000000
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
χ8988-8-888-8-80000-40000-44-444-44000000000000000000000000000000000000000000000000000000000000000000
χ908-888-88-8-80000-400004-4-44-444000000000000000000000000000000000000000000000000000000000000000000

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