Finite Group Databasebeta

← Group #10824477

Character table — Group #10824477

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1222222234444444444446666666121212121212121288888888121212121212121224242424242424242424242424242424222244446666666612121212121212122244444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ911111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-111-1-11-111-1-1
χ1011111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-11-1-111
χ1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-1-111-1-1-11-1-111
χ1211111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-111-1-1111-111-1-1
χ1311111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1111-1-1-111
χ1411111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-111111-1-1-1111-1-1
χ1511111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-11-1-1-1-111-1111-1-1
χ1611111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-11111-1-11-1-1-111
χ17222222222-2-22222-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000022000000-2-20000
χ18222222222-2-22222-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-2-2000000220000
χ19222222222-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000000000000000002-2000000-220000
χ20222222222-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-200000000-2-22222-2-2000000000000000000000000000000000000000000-220000002-20000
χ2122222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2322222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2422222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ2522222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2622222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2822222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
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χ43222-2-2-22-2-12-2−2i−2i2i2i−2i−2i2i2i2-2-1-111-111iiii−i−i−i−i00000000-11ii−i−i-11i3i3i3i3−i3−i3−i3−i33333−3−3−3−32-200−2i2i00-1-111i3i3−i3−i3ii−i−i33−3−30000000000000000
χ44222-2-2-22-2-12-2−2i−2i2i2i−2i−2i2i2i2-2-1-111-111iiii−i−i−i−i00000000-11ii−i−i-11i3i3i3i3−i3−i3−i3−i33333−3−3−3−3-22002i−2i0011-1-1−i3−i3i3i3−i−iii−3−3330000000000000000
χ4522-22-2-2-2222-22i−2i2i−2i2i−2i2i−2i-22-2-2222-2-22i2i−2i−2i2i2i−2i−2i000000002-22i−2i2i−2i-2200000000000000000000000000000000000000000000000000002-22i−2i
χ4622-22-2-2-2222-22i−2i2i−2i2i−2i2i−2i-22-2-2222-2-22i2i−2i−2i2i2i−2i−2i000000002-22i−2i2i−2i-220000000000000000000000000000000000000000000000000000-22−2i2i
χ4722-22-2-2-2222-2−2i2i−2i2i−2i2i−2i2i-22-2-2222-2-2−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i−2i2i-2200000000000000000000000000000000000000000000000000002-2−2i2i
χ4822-22-2-2-2222-2−2i2i−2i2i−2i2i−2i2i-22-2-2222-2-2−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i−2i2i-220000000000000000000000000000000000000000000000000000-222i−2i
χ4922-22-2-2-222-222i−2i2i−2i−2i2i−2i2i2-2-2-2222-2-22i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i-22−2i2i−2i2i2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ5022-22-2-2-222-222i−2i2i−2i−2i2i−2i2i2-2-2-2222-2-22i2i−2i−2i2i2i−2i−2i-2-222−2i−2i2i2i-22−2i2i−2i2i2-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ5122-22-2-2-222-22−2i2i−2i2i2i−2i2i−2i2-2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i-222i−2i2i−2i2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ5222-22-2-2-222-22−2i2i−2i2i2i−2i2i−2i2-2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i-2-2222i2i−2i−2i-222i−2i2i−2i2-2-2-222-2-2222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ5322-22-2-2-22-1-222i−2i2i−2i−2i2i−2i2i2-211-1-1-111−i−iii−i−iii22-2-22i2i−2i−2i1-1i−ii−i-11-1-111-1-111−i−iii−i−iii00000000−i3i3−i3i3−i3i3−i3i33−33−33−33−30000000000000000
χ5422-22-2-2-22-1-222i−2i2i−2i−2i2i−2i2i2-211-1-1-111−i−iii−i−iii22-2-22i2i−2i−2i1-1i−ii−i-11-1-111-1-111−i−iii−i−iii00000000i3−i3i3−i3i3−i3i3−i3−33−33−33−330000000000000000
χ5522-22-2-2-22-1-222i−2i2i−2i−2i2i−2i2i2-211-1-1-111−i−iii−i−iii-2-222−2i−2i2i2i1-1i−ii−i-1111-1-111-1-1ii−i−iii−i−i00000000−i3i3−i3i3i3−i3i3−i33−33−3−33−330000000000000000
χ5622-22-2-2-22-1-222i−2i2i−2i−2i2i−2i2i2-211-1-1-111−i−iii−i−iii-2-222−2i−2i2i2i1-1i−ii−i-1111-1-111-1-1ii−i−iii−i−i00000000i3−i3i3−i3−i3i3−i3i3−33−333−33−30000000000000000
χ5722-22-2-2-22-1-22−2i2i−2i2i2i−2i2i−2i2-211-1-1-111ii−i−iii−i−i22-2-2−2i−2i2i2i1-1−ii−ii-11-1-111-1-111ii−i−iii−i−i00000000−i3i3−i3i3−i3i3−i3i3−33−33−33−330000000000000000
χ5822-22-2-2-22-1-22−2i2i−2i2i2i−2i2i−2i2-211-1-1-111ii−i−iii−i−i22-2-2−2i−2i2i2i1-1−ii−ii-11-1-111-1-111ii−i−iii−i−i00000000i3−i3i3−i3i3−i3i3−i33−33−33−33−30000000000000000
χ5922-22-2-2-22-1-22−2i2i−2i2i2i−2i2i−2i2-211-1-1-111ii−i−iii−i−i-2-2222i2i−2i−2i1-1−ii−ii-1111-1-111-1-1−i−iii−i−iii00000000−i3i3−i3i3i3−i3i3−i3−33−333−33−30000000000000000
χ6022-22-2-2-22-1-22−2i2i−2i2i2i−2i2i−2i2-211-1-1-111ii−i−iii−i−i-2-2222i2i−2i−2i1-1−ii−ii-1111-1-111-1-1−i−iii−i−iii00000000i3−i3i3−i3−i3i3−i3i33−33−3−33−330000000000000000
χ6122-2-222-2-22222-2-222-2-22-2-2-2-2-2-222222-2-2-2-22200000000222-2-22-2-200000000000000000000000000000000000000000000002i−2i2i−2i000000
χ6222-2-222-2-22222-2-222-2-22-2-2-2-2-2-222222-2-2-2-22200000000222-2-22-2-20000000000000000000000000000000000000000000000−2i2i−2i2i000000
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χ6422-2-222-2-2222-222-2-222-2-2-2-2-2-2-2222-2-22222-2-20000000022-222-2-2-20000000000000000000000000000000000000000000000−2i2i2i−2i000000
χ6522-2-222-2-22-2-22-2-22-222-222-2-2-2-222222-2-2-2-22200000000-2-2-222-2220000000000000000002-2002-200002-2-2200002-2-220000000000000000
χ6622-2-222-2-22-2-22-2-22-222-222-2-2-2-222222-2-2-2-22200000000-2-2-222-222000000000000000000-2200-220000-222-20000-222-20000000000000000
χ6722-2-222-2-22-2-2-222-22-2-2222-2-2-2-2222-2-22222-2-200000000-2-22-2-22220000000000000000002-200-2200002-2-220000-222-20000000000000000
χ6822-2-222-2-22-2-2-222-22-2-2222-2-2-2-2222-2-22222-2-200000000-2-22-2-2222000000000000000000-22002-20000-222-200002-2-220000000000000000
χ6922-2-222-2-2-1-2-22-2-22-222-2221111-1-1-1-1-11111-1-100000000111-1-11-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3002-2002-2−i3i3i3−i3-111-1−i3i3i3−i3-111-10000000000000000
χ7022-2-222-2-2-1-2-22-2-22-222-2221111-1-1-1-1-11111-1-100000000111-1-11-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300-2200-22i3−i3−i3i31-1-11i3−i3−i3i31-1-110000000000000000
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χ7222-2-222-2-2-1-2-22-2-22-222-2221111-1-1-1-1-11111-1-100000000111-1-11-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300-2200-22−i3i3i3−i31-1-11−i3i3i3−i31-1-110000000000000000
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χ7422-2-222-2-2-1-2-2-222-22-2-22221111-1-1-111-1-1-1-1110000000011-111-1-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300-22002-2i3−i3−i3i31-1-11−i3i3i3−i3-111-10000000000000000
χ7522-2-222-2-2-1-2-2-222-22-2-22221111-1-1-111-1-1-1-1110000000011-111-1-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3002-200-22i3−i3−i3i3-111-1−i3i3i3−i31-1-110000000000000000
χ7622-2-222-2-2-1-2-2-222-22-2-22221111-1-1-111-1-1-1-1110000000011-111-1-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300-22002-2−i3i3i3−i31-1-11i3−i3−i3i3-111-10000000000000000
χ7744444444-2-4-44444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222222200000000000000000000000000000000000000000000000000000000
χ7844444444-2-4-4-4-4-4-44444-4-4-2-2-2-2-2-2-2222222220000000022-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ79444-4-4-44-4-2-444i4i−4i−4i−4i−4i4i4i-44-2-222-222−2i−2i−2i−2i2i2i2i2i000000002-22i2i−2i−2i2-200000000000000000000000000000000000000000000000000000000
χ80444-4-4-44-4-2-44−4i−4i4i4i4i4i−4i−4i-44-2-222-2222i2i2i2i−2i−2i−2i−2i000000002-2−2i−2i2i2i2-200000000000000000000000000000000000000000000000000000000
χ8144-44-4-4-44-24-44i−4i4i−4i4i−4i4i−4i-4422-2-2-222−2i−2i2i2i−2i−2i2i2i00000000-22−2i2i−2i2i2-200000000000000000000000000000000000000000000000000000000
χ8244-44-4-4-44-24-4−4i4i−4i4i−4i4i−4i4i-4422-2-2-2222i2i−2i−2i2i2i−2i−2i00000000-222i−2i2i−2i2-200000000000000000000000000000000000000000000000000000000
χ8344-4-444-4-4-2444-4-444-4-44-4-42222-2-2-2-2-22222-2-200000000-2-2-222-22200000000000000000000000000000000000000000000000000000000
χ8444-4-444-4-4-244-444-4-444-4-4-42222-2-2-222-2-2-2-22200000000-2-22-2-222200000000000000000000000000000000000000000000000000000000
χ854-444-44-4-440000000000004-44-4-44-4000000000000−2i22i2−2i22i20000000000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ864-444-44-4-440000000000004-44-4-44-40000000000002i2−2i22i2−2i200000000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ874-444-44-4-4-2000000000000-22-222-2223−2323−2323−2323−230000−2i22i2−2i22i200000000i6−i6i6−i6i6−i6i6−i6i2−i2i2−i2i2−i2i2−i20000000000000000000000000000000000000000
χ884-444-44-4-4-2000000000000-22-222-2223−2323−2323−2323−2300002i2−2i22i2−2i200000000−i6i6−i6i6−i6i6−i6i6−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000000000000
χ894-444-44-4-4-2000000000000-22-222-22−2323−2323−2323−23230000−2i22i2−2i22i200000000−i6i6−i6i6−i6i6−i6i6i2−i2i2−i2i2−i2i2−i20000000000000000000000000000000000000000
χ904-444-44-4-4-2000000000000-22-222-22−2323−2323−2323−232300002i2−2i22i2−2i200000000i6−i6i6−i6i6−i6i6−i6−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000000000000
χ914-44-44-4-4440000000000004-4-44-4-440000000022−2222−2200000000000022−2222−22−2222−2222000000000000000000000000000000000000000000000000
χ924-44-44-4-4440000000000004-4-44-4-4400000000−2222−2222000000000000−2222−222222−2222−22000000000000000000000000000000000000000000000000
χ934-44-44-4-44-2000000000000-222-222-2−2i32i3−2i32i32i3−2i32i3−2i322−2222−22000000000000−22−222−22−2−i6i6−i6i6i6−i6i6−i60000000000000000000000000000000000000000
χ944-44-44-4-44-2000000000000-222-222-2−2i32i3−2i32i32i3−2i32i3−2i3−2222−22220000000000002−22−2−22−22i6−i6i6−i6−i6i6−i6i60000000000000000000000000000000000000000
χ954-44-44-4-44-2000000000000-222-222-22i3−2i32i3−2i3−2i32i3−2i32i322−2222−22000000000000−22−222−22−2i6−i6i6−i6−i6i6−i6i60000000000000000000000000000000000000000
χ964-44-44-4-44-2000000000000-222-222-22i3−2i32i3−2i3−2i32i3−2i32i3−2222−22220000000000002−22−2−22−22−i6i6−i6i6i6−i6i6−i60000000000000000000000000000000000000000
χ974-4-444-44-44000000000000-444-4-4-4400000000000022−22−2222000000000000000022−22−222222−22−22220000000000000000000000000000000000000000
χ984-4-444-44-44000000000000-444-4-4-44000000000000−222222−220000000000000000−222222−22−222222−220000000000000000000000000000000000000000
χ994-4-444-44-4-20000000000002-2-2222-2−2i32i32i3−2i3−2i32i32i3−2i3000022−22−222200000000−i6i6i6−i6−i6i6i6−i6−222−2−222−20000000000000000000000000000000000000000
χ1004-4-444-44-4-20000000000002-2-2222-2−2i32i32i3−2i3−2i32i32i3−2i30000−222222−2200000000i6−i6−i6i6i6−i6−i6i62−2−222−2−220000000000000000000000000000000000000000
χ1014-4-444-44-4-20000000000002-2-2222-22i3−2i3−2i32i32i3−2i3−2i32i3000022−22−222200000000i6−i6−i6i6i6−i6−i6i6−222−2−222−20000000000000000000000000000000000000000
χ1024-4-444-44-4-20000000000002-2-2222-22i3−2i3−2i32i32i3−2i3−2i32i30000−222222−2200000000−i6i6i6−i6−i6i6i6−i62−2−222−2−220000000000000000000000000000000000000000
χ1034-4-4-4-44444000000000000-44-44-44-40000000022−22−222200000000000022−22−2222−222222−22000000000000000000000000000000000000000000000000
χ1044-4-4-4-44444000000000000-44-44-44-400000000−222222−22000000000000−222222−2222−22−2222000000000000000000000000000000000000000000000000
χ1054-4-4-4-4444-20000000000002-22-22-2223−23−2323−232323−2322−22−2222000000000000−222−22−2−226−6−66−666−60000000000000000000000000000000000000000
χ1064-4-4-4-4444-20000000000002-22-22-2223−23−2323−232323−23−222222−220000000000002−2−22−222−2−666−66−6−660000000000000000000000000000000000000000
χ1074-4-4-4-4444-20000000000002-22-22-22−232323−2323−23−232322−22−2222000000000000−222−22−2−22−666−66−6−660000000000000000000000000000000000000000
χ1084-4-4-4-4444-20000000000002-22-22-22−232323−2323−23−2323−222222−220000000000002−2−22−222−26−6−66−666−60000000000000000000000000000000000000000

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