Finite Group Databasebeta

← Group #10944229

Character table — Group #10944229

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222222222222222222244444444444444444444444444446666666666666666666666666666666616161616161616161616161648484848
order122222222222344444444666666688888888888888886666121212121212121224242424242424242424242424242424222222224444444488888888888888882444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ911111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-1
χ1011111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-11
χ1111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-11-11
χ1211111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1111-11-1
χ1311111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1111-1-11
χ1411111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-111-1
χ1511111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-111-1
χ1611111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-11
χ172222222222222-2-2-2-2-2-2-2-2222222200000000000000002222-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222200000000000000002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ20222222222222-122222222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-2111111110000
χ21222222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000000022-2-2-1-1-1-111110000
χ22222222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000-2-2221111-1-1-1-10000
χ2322222222-2-2-2-22-2-2-22222-222222220000000000000000-2-2-2-2-2-2-22222-200000000000000002222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ2422222222-2-2-2-22-2-2-22222-222222220000000000000000-2-2-2-2-2-2-22222-20000000000000000-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ2522222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-21111-1-1-11111-1-1-1-1-1-1-1-1-111111111000000000000000000000000000000002-22-2-1-111-1-1110000
χ2622222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-21111-1-1-11111-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000-22-2211-1-111-1-10000
χ2722222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111-1-1-11111-111111111-1-1-1-1-1-1-1-1000000000000000000000000000000002-2-22-1-11111-1-10000
χ2822222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111-1-1-11111-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000-222-211-1-1-1-1110000
χ29222-2-2-2-2222-2-2222-222-2-2-2-2-2-2-2222000000000000000022-2-222-222-2-2-2000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000
χ30222-2-2-2-2222-2-2222-222-2-2-2-2-2-2-2222000000000000000022-2-222-222-2-2-200000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000
χ31222-2-2-2-2222-2-22-2-22-2-2222-2-2-2-22222222-2-2-2-22222-2-2-2-222-2-2-2-22-2-22222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ32222-2-2-2-2222-2-22-2-22-2-2222-2-2-2-2222-2-2-2-22222-2-2-2-2222222-2-2-2-22-2-2222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ33222-2-2-2-2222-2-2-1-2-22-2-22221111-1-1-12222-2-2-2-22222-2-2-2-2-1-11111-111-1-1-1-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ34222-2-2-2-2222-2-2-1-2-22-2-22221111-1-1-12222-2-2-2-22222-2-2-2-2-1-11111-111-1-1-1-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ35222-2-2-2-2222-2-2-1-2-22-2-22221111-1-1-1-2-2-2-22222-2-2-2-22222-1-11111-111-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ36222-2-2-2-2222-2-2-1-2-22-2-22221111-1-1-1-2-2-2-22222-2-2-2-22222-1-11111-111-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ37222-2-2-2-22-2-222222-2-2-222-2-2-2-2-22220000000000000000-2-22222-2-2-222-2000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000
χ38222-2-2-2-22-2-222222-2-2-222-2-2-2-2-22220000000000000000-2-22222-2-2-222-200000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000
χ39222-2-2-2-22-2-2222-2-2222-2-22-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-222-2-2222-2-222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ40222-2-2-2-22-2-2222-2-2222-2-22-2-2-2-2222-2-2-2-222222222-2-2-2-2-2-222-2-2222-2-22-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ41222-2-2-2-22-2-222-1-2-2222-2-221111-1-1-12222-2-2-2-2-2-2-2-2222211-1-111-1-1-111-1-1-1-1-111111111-1-1-1-1000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ42222-2-2-2-22-2-222-1-2-2222-2-221111-1-1-12222-2-2-2-2-2-2-2-2222211-1-111-1-1-111-1-1-1-1-111111111-1-1-1-1000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ43222-2-2-2-22-2-222-1-2-2222-2-221111-1-1-1-2-2-2-222222222-2-2-2-211-1-111-1-1-111-11111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ44222-2-2-2-22-2-222-1-2-2222-2-221111-1-1-1-2-2-2-222222222-2-2-2-211-1-111-1-1-111-11111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ4522-222-2-2-2000020002i−2i2i−2i022-2-22-2-222−2−222−2−2−i2−i2i2i2−i2−i2i2i200000002i−2i2i−2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000022-2-22i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000000000000
χ4622-222-2-2-2000020002i−2i2i−2i022-2-22-2-222−2−222−2−2−i2−i2i2i2−i2−i2i2i200000002i−2i2i−2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000-2-222−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000000000000
χ4722-222-2-2-2000020002i−2i2i−2i022-2-22-2-2−2−222−2−222i2i2−i2−i2i2i2−i2−i200000002i−2i2i−2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i2000022-2-22i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000000000000
χ4822-222-2-2-2000020002i−2i2i−2i022-2-22-2-2−2−222−2−222i2i2−i2−i2i2i2−i2−i200000002i−2i2i−2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i20000-2-222−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000000000000
χ4922-222-2-2-200002000−2i2i−2i2i022-2-22-2-222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000−2i2i−2i2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000022-2-2−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000
χ5022-222-2-2-200002000−2i2i−2i2i022-2-22-2-222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000−2i2i−2i2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000-2-2222i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000
χ5122-222-2-2-200002000−2i2i−2i2i022-2-22-2-2−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000−2i2i−2i2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i2000022-2-2−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000
χ5222-222-2-2-200002000−2i2i−2i2i022-2-22-2-2−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000−2i2i−2i2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i20000-2-2222i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000
χ5322-2-2-222-2000020002i−2i−2i2i0-2-2222-2-222−2−2−2−222i2i2−i2−i2−i2−i2i2i200000002i−2i−2i2i022−2−2−2−222i2i2−i2−i2−i2−i2i2i222-2-2000000002i2i−2i−2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ5422-2-2-222-2000020002i−2i−2i2i0-2-2222-2-222−2−2−2−222i2i2−i2−i2−i2−i2i2i200000002i−2i−2i2i022−2−2−2−222i2i2−i2−i2−i2−i2i2i2-2-22200000000−2i−2i2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ5522-2-2-222-2000020002i−2i−2i2i0-2-2222-2-2−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000002i−2i−2i2i0−2−22222−2−2−i2−i2i2i2i2i2−i2−i222-2-2000000002i2i−2i−2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ5622-2-2-222-2000020002i−2i−2i2i0-2-2222-2-2−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000002i−2i−2i2i0−2−22222−2−2−i2−i2i2i2i2i2−i2−i2-2-22200000000−2i−2i2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ5722-2-2-222-200002000−2i2i2i−2i0-2-2222-2-222−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000−2i2i2i−2i022−2−2−2−222−i2−i2i2i2i2i2−i2−i222-2-200000000−2i−2i2i2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ5822-2-2-222-200002000−2i2i2i−2i0-2-2222-2-222−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000−2i2i2i−2i022−2−2−2−222−i2−i2i2i2i2i2−i2−i2-2-222000000002i2i−2i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ5922-2-2-222-200002000−2i2i2i−2i0-2-2222-2-2−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000−2i2i2i−2i0−2−22222−2−2i2i2−i2−i2−i2−i2i2i222-2-200000000−2i−2i2i2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ6022-2-2-222-200002000−2i2i2i−2i0-2-2222-2-2−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000−2i2i2i−2i0−2−22222−2−2i2i2−i2−i2−i2−i2i2i2-2-222000000002i2i−2i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ612-222-22-2-22-22-22000000002-22-2-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002i−2i2i−2i2i−2i2i−2i2−22−22−22−22−22−22−22−20000000000000000
χ622-222-22-2-22-22-22000000002-22-2-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000−2i2i−2i2i−2i2i−2i2i−22−22−22−22−22−22−22−220000000000000000
χ632-222-22-2-22-22-22000000002-22-2-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002i−2i2i−2i2i−2i2i−2i−22−22−22−22−22−22−22−220000000000000000
χ642-222-22-2-22-22-22000000002-22-2-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000−2i2i−2i2i−2i2i−2i2i2−22−22−22−22−22−22−22−20000000000000000
χ652-222-22-2-2-22-222000000002-22-2-22-2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-22-2200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000002i−2i2i−2i−2i2i−2i2i2−22−22−22−2−22−22−22−220000000000000000
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χ1194-4-4-444-440000-2-4440000-42-2-2222-24i−4i−4i4i−4i4i4i−4i0000000000002-2-200002−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ1204-4-4-444-440000-2-4440000-42-2-2222-2−4i4i4i−4i4i−4i−4i4i0000000000002-2-2000022i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000

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