Finite Group Databasebeta

← Group #10846303

Character table — Group #10846303

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order12222222344444444666666688888888448888121212121212121212121212242424242424242424242424242424242244444488888888224466661212121222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-111-1-1
χ91111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111
χ101111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1
χ111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ121111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ131111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1
χ141111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-111
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-1
χ17222222222-22222-2-2-2222222200000000-2-20000-2-22222-2-2-2-2-2-2000000000000000022-2-2-2-2220000000000000000000000000000
χ18222222222-22222-2-2-2222222200000000-2-20000-2-22222-2-2-2-2-2-20000000000000000-2-22222-2-20000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-2-2-22222-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-2-2-22222-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2222222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-111-1-11100000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-22-2211-1-111-1-100000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-1111100000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-100000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-11100000000
χ29222-2-22-2-2222i2i−2i−2i-2-2222-22-2-2-22222-2-2-2-22i−2i2i2i−2i−2i2-22i2i−2i−2i2i2i−2i−2i2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ30222-2-22-2-2222i2i−2i−2i-2-2222-22-2-2-2-2-2-2-222222i−2i−2i−2i2i2i2-22i2i−2i−2i2i2i−2i−2i2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ31222-2-22-2-222−2i−2i2i2i-2-2222-22-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i2-2−2i−2i2i2i−2i−2i2i2i2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ32222-2-22-2-222−2i−2i2i2i-2-2222-22-2-2-2-2-2-2-22222−2i2i2i2i−2i−2i2-2−2i−2i2i2i−2i−2i2i2i2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ33222-2-22-2-22-22i2i−2i−2i22-222-22-2-2-200000000−2i2i0000-222i2i−2i−2i−2i−2i2i2i-2200000000000000000000000022-2-22i2i−2i−2i00000000000000000000
χ34222-2-22-2-22-22i2i−2i−2i22-222-22-2-2-200000000−2i2i0000-222i2i−2i−2i−2i−2i2i2i-22000000000000000000000000-2-222−2i−2i2i2i00000000000000000000
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χ36222-2-22-2-22-2−2i−2i2i2i22-222-22-2-2-2000000002i−2i0000-22−2i−2i2i2i2i2i−2i−2i-22000000000000000000000000-2-2222i2i−2i−2i00000000000000000000
χ37222-2-22-2-2-122i2i−2i−2i-2-22-1-11-11112222-2-2-2-22i−2i2i2i−2i−2i-11−i−iii−i−iii-11-1-1-1-11111−i−i−i−iiiii00000000000000000000−i3i3−i3i33−33−300000000
χ38222-2-22-2-2-122i2i−2i−2i-2-22-1-11-11112222-2-2-2-22i−2i2i2i−2i−2i-11−i−iii−i−iii-11-1-1-1-11111−i−i−i−iiiii00000000000000000000i3−i3i3−i3−33−3300000000
χ39222-2-22-2-2-122i2i−2i−2i-2-22-1-11-1111-2-2-2-222222i−2i−2i−2i2i2i-11−i−iii−i−iii-111111-1-1-1-1iiii−i−i−i−i00000000000000000000−i3i3i3−i33−3−3300000000
χ40222-2-22-2-2-122i2i−2i−2i-2-22-1-11-1111-2-2-2-222222i−2i−2i−2i2i2i-11−i−iii−i−iii-111111-1-1-1-1iiii−i−i−i−i00000000000000000000i3−i3−i3i3−333−300000000
χ41222-2-22-2-2-12−2i−2i2i2i-2-22-1-11-11112222-2-2-2-2−2i2i−2i−2i2i2i-11ii−i−iii−i−i-11-1-1-1-11111iiii−i−i−i−i00000000000000000000−i3i3−i3i3−33−3300000000
χ42222-2-22-2-2-12−2i−2i2i2i-2-22-1-11-11112222-2-2-2-2−2i2i−2i−2i2i2i-11ii−i−iii−i−i-11-1-1-1-11111iiii−i−i−i−i00000000000000000000i3−i3i3−i33−33−300000000
χ43222-2-22-2-2-12−2i−2i2i2i-2-22-1-11-1111-2-2-2-22222−2i2i2i2i−2i−2i-11ii−i−iii−i−i-111111-1-1-1-1−i−i−i−iiiii00000000000000000000−i3i3i3−i3−333−300000000
χ44222-2-22-2-2-12−2i−2i2i2i-2-22-1-11-1111-2-2-2-22222−2i2i2i2i−2i−2i-11ii−i−iii−i−i-111111-1-1-1-1−i−i−i−iiiii00000000000000000000i3−i3−i3i33−3−3300000000
χ4522-222-2-2-2202i−2i2i−2i0002-22-22-2-222−2−222−2−200−i2i2−i2i2002i−2i2i−2i00000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2002-22i−2i002−22−2−i2i2−i2i200000000000000000000
χ4622-222-2-2-2202i−2i2i−2i0002-22-22-2-222−2−222−2−200−i2i2−i2i2002i−2i2i−2i00000022−2−222−2−2−i2−i2i2i2−i2−i2i2i200-22−2i2i00−22−22i2−i2i2−i200000000000000000000
χ4722-222-2-2-2202i−2i2i−2i0002-22-22-2-2−2−222−2−22200i2−i2i2−i2002i−2i2i−2i000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2002-22i−2i00−22−22i2−i2i2−i200000000000000000000
χ4822-222-2-2-2202i−2i2i−2i0002-22-22-2-2−2−222−2−22200i2−i2i2−i2002i−2i2i−2i000000−2−222−2−222i2i2−i2−i2i2i2−i2−i200-22−2i2i002−22−2−i2i2−i2i200000000000000000000
χ4922-222-2-2-220−2i2i−2i2i0002-22-22-2-222−2−222−2−200i2−i2i2−i200−2i2i−2i2i00000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2002-2−2i2i002−22−2i2−i2i2−i200000000000000000000
χ5022-222-2-2-220−2i2i−2i2i0002-22-22-2-222−2−222−2−200i2−i2i2−i200−2i2i−2i2i00000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200-222i−2i00−22−22−i2i2−i2i200000000000000000000
χ5122-222-2-2-220−2i2i−2i2i0002-22-22-2-2−2−222−2−22200−i2i2−i2i200−2i2i−2i2i000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2002-2−2i2i00−22−22−i2i2−i2i200000000000000000000
χ5222-222-2-2-220−2i2i−2i2i0002-22-22-2-2−2−222−2−22200−i2i2−i2i200−2i2i−2i2i000000−2−222−2−222−i2−i2i2i2−i2−i2i2i200-222i−2i002−22−2i2−i2i2−i200000000000000000000
χ5322-2-2-2-222202-2-220002-2-2-2-22222−2−2−2−22200−222−2002-2-2200000022−2−2−2−222−2−22222−2−22-200002-22−2−22−222−200000000000000000000
χ5422-2-2-2-222202-2-220002-2-2-2-22222−2−2−2−22200−222−2002-2-2200000022−2−2−2−222−2−22222−2−2-220000-22−222−22−2−2200000000000000000000
χ5522-2-2-2-222202-2-220002-2-2-2-222−2−22222−2−2002−2−22002-2-22000000−2−22222−2−222−2−2−2−2222-200002-2−222−22−2−2200000000000000000000
χ5622-2-2-2-222202-2-220002-2-2-2-222−2−22222−2−2002−2−22002-2-22000000−2−22222−2−222−2−2−2−222-220000-222−2−22−222−200000000000000000000
χ5722-2-2-2-22220-222-20002-2-2-2-22222−2−2−2−222002−2−2200-222-200000022−2−2−2−22222−2−2−2−2222-20000-22−222−2−222−200000000000000000000
χ5822-2-2-2-22220-222-20002-2-2-2-22222−2−2−2−222002−2−2200-222-200000022−2−2−2−22222−2−2−2−222-2200002-22−2−222−2−2200000000000000000000
χ5922-2-2-2-22220-222-20002-2-2-2-222−2−22222−2−200−222−200-222-2000000−2−22222−2−2−2−22222−2−22-20000-222−2−222−2−2200000000000000000000
χ6022-2-2-2-22220-222-20002-2-2-2-222−2−22222−2−200−222−200-222-2000000−2−22222−2−2−2−22222−2−2-2200002-2−222−2−222−200000000000000000000
χ612-2-22-22-222-200002-22-2-2-2222-22-22-22-22-2000000-2-200000000222-22-22-22-200000000000000000000000000000000000000002-22-2
χ622-2-22-22-222-200002-22-2-2-2222-22-22-22-22-2000000-2-200000000222-22-22-22-20000000000000000000000000000000000000000-22-22
χ632-2-22-22-222-200002-22-2-2-2222-2-22-22-22-22000000-2-20000000022-22-22-22-2200000000000000000000000000000000000000002-2-22
χ642-2-22-22-222-200002-22-2-2-2222-2-22-22-22-22000000-2-20000000022-22-22-22-220000000000000000000000000000000000000000-222-2
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χ944-4-44-44-44-240000-44-4222-2-2-2200000000000000-2-200000000220000000023−23−232323−23−2323000000000000000000000000000000000000
χ954-4-44-44-44-240000-44-4222-2-2-2200000000000000-2-2000000002200000000−232323−23−232323−23000000000000000000000000000000000000
χ964-4-44-44-44-2-400004-44222-2-2-224-44-44-44-40000002200000000-2-2-22-22-22-2200000000000000000000000000000000000000000000
χ974-4-44-44-44-2-400004-44222-2-2-22-44-44-44-440000002200000000-2-22-22-22-22-200000000000000000000000000000000000000000000
χ984-4-4-4444-44400004-4-4-4-444-4-44000000000000004-400000000-440000000000000000000000000000000000000000000000000000
χ994-4-4-4444-4-2400004-4-422-2-222-200000000000000-22000000002-200000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000
χ1004-4-4-4444-4-2400004-4-422-2-222-200000000000000-22000000002-2000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000
χ1014-4-4-4444-4-2-40000-44422-2-222-24-44-4-44-440000002-200000000-22-22-222-22-200000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-40000-44422-2-222-2-44-444-44-40000002-200000000-222-22-2-22-2200000000000000000000000000000000000000000000

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