Finite Group Databasebeta

← Group #10847367

Character table — Group #10847367

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222222222222222224444444444444444444444444444448888888888888888888888881212121212121212121212121212121248484848
order122222222222344444444444466666661212121212121212444444666612121212121212121212121212121212121212122222444466666666121212121212121288888888888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ911111111-1-1-1-11111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1
χ1011111111-1-1-1-11111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11
χ1111111111-1-1-1-11111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ1211111111-1-1-1-11111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ1311111111-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11
χ1411111111-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ1511111111-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-111-1
χ1611111111-1-1-1-11-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1-11
χ1722222222222222222-2-2-2-2-2-2-2-222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ19222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ21222222222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111111111111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ22222222222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111111111111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ23222222222222-1-2-2-2-222222222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ24222222222222-1-2-2-2-222222222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ2722222222-2-2-2-222222-2-22222-2-2222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2222200000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-1222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ3022222222-2-2-2-2-1222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-1-1-1-111111111-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ3122222222-2-2-2-2-12222-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ3222222222-2-2-2-2-12222-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ3322222222-2-2-2-2-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ3422222222-2-2-2-2-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1111111112222-2-211111111-1-1-1-1-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1111111112222-2-211111111-1-1-1-1-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ372222-2-2-2-222-2-2222-2-20000000022-2-2-2-222222-2-2-2-22-2000022-2-2000000000000000022-2-2000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000
χ382222-2-2-2-222-2-2222-2-20000000022-2-2-2-222222-2-2-2-22-2000022-2-2000000000000000022-2-2000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000
χ392222-2-2-2-222-2-22-2-2220000000022-2-2-2-22-2-2-2-22222-22000022-2-20000000000000000-2-222000000000000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000
χ402222-2-2-2-222-2-22-2-2220000000022-2-2-2-22-2-2-2-22222-22000022-2-20000000000000000-2-222000000000000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000
χ412222-2-2-2-2-2-222222-2-20000000022-2-2-2-222222-2-2-2-2-220000-2-2220000000000000000-2-222000000000000000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000
χ422222-2-2-2-2-2-222222-2-20000000022-2-2-2-222222-2-2-2-2-220000-2-2220000000000000000-2-222000000000000000000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000
χ432222-2-2-2-2-2-2222-2-2220000000022-2-2-2-22-2-2-2-222222-20000-2-222000000000000000022-2-2000000000000000000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000
χ442222-2-2-2-2-2-2222-2-2220000000022-2-2-2-22-2-2-2-222222-20000-2-222000000000000000022-2-2000000000000000000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000
χ4522-2-22-22-2000022i−2i2i−2i002i2i−2i−2i002-22-22-2-22i2i−2i−2i2i2i−2i−2i00002-2000000002i2i−2i−2i000022-2-200000000000000000000000000002−22−2−i2i2−i2i2−i2i2−i2i22−22−20000
χ4622-2-22-22-2000022i−2i2i−2i002i2i−2i−2i002-22-22-2-22i2i−2i−2i2i2i−2i−2i00002-2000000002i2i−2i−2i000022-2-20000000000000000000000000000−22−22i2−i2i2−i2i2−i2i2−i2−22−220000
χ4722-2-22-22-2000022i−2i2i−2i00−2i−2i2i2i002-22-22-2-22i2i−2i−2i2i2i−2i−2i0000-2200000000−2i−2i2i2i0000-2-22200000000000000000000000000002−22−2i2−i2i2−i2−i2i2−i2i2−22−220000
χ4822-2-22-22-2000022i−2i2i−2i00−2i−2i2i2i002-22-22-2-22i2i−2i−2i2i2i−2i−2i0000-2200000000−2i−2i2i2i0000-2-2220000000000000000000000000000−22−22−i2i2−i2i2i2−i2i2−i22−22−20000
χ4922-2-22-22-200002−2i2i−2i2i002i2i−2i−2i002-22-22-2-2−2i−2i2i2i−2i−2i2i2i0000-22000000002i2i−2i−2i0000-2-22200000000000000000000000000002−22−2−i2i2−i2i2i2−i2i2−i2−22−220000
χ5022-2-22-22-200002−2i2i−2i2i002i2i−2i−2i002-22-22-2-2−2i−2i2i2i−2i−2i2i2i0000-22000000002i2i−2i−2i0000-2-2220000000000000000000000000000−22−22i2−i2i2−i2−i2i2−i2i22−22−20000
χ5122-2-22-22-200002−2i2i−2i2i00−2i−2i2i2i002-22-22-2-2−2i−2i2i2i−2i−2i2i2i00002-200000000−2i−2i2i2i000022-2-200000000000000000000000000002−22−2i2−i2i2−i2i2−i2i2−i22−22−20000
χ5222-2-22-22-200002−2i2i−2i2i00−2i−2i2i2i002-22-22-2-2−2i−2i2i2i−2i−2i2i2i00002-200000000−2i−2i2i2i000022-2-20000000000000000000000000000−22−22−i2i2−i2i2−i2i2−i2i2−22−220000
χ5322-2-2-22-22000022i−2i−2i2i2-200002-22-2-22-22-22i2i−2i−2i−2i−2i2i2i002i−2i00000022-2-200002i2i−2i−2i0000000000000000000000000000000000002-2-2200002i−2i−2i2i0000
χ5422-2-2-22-22000022i−2i−2i2i2-200002-22-2-22-22-22i2i−2i−2i−2i−2i2i2i002i−2i00000022-2-200002i2i−2i−2i000000000000000000000000000000000000-222-20000−2i2i2i−2i0000
χ5522-2-2-22-22000022i−2i−2i2i-220000-222-2-22-22-22i2i−2i−2i−2i−2i2i2i00−2i2i000000-2-2220000−2i−2i2i2i000000000000000000000000000000002i−2i−2i2i00002-2-2200000000
χ5622-2-2-22-22000022i−2i−2i2i-220000-222-2-22-22-22i2i−2i−2i−2i−2i2i2i00−2i2i000000-2-2220000−2i−2i2i2i00000000000000000000000000000000−2i2i2i−2i0000-222-200000000
χ5722-2-2-22-2200002−2i2i2i−2i2-200002-22-2-22-22-2−2i−2i2i2i2i2i−2i−2i00−2i2i00000022-2-20000−2i−2i2i2i0000000000000000000000000000000000002-2-220000−2i2i2i−2i0000
χ5822-2-2-22-2200002−2i2i2i−2i2-200002-22-2-22-22-2−2i−2i2i2i2i2i−2i−2i00−2i2i00000022-2-20000−2i−2i2i2i000000000000000000000000000000000000-222-200002i−2i−2i2i0000
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χ6022-2-2-22-2200002−2i2i2i−2i-220000-222-2-22-22-2−2i−2i2i2i2i2i−2i−2i002i−2i000000-2-22200002i2i−2i−2i00000000000000000000000000000000−2i2i2i−2i00002-2-2200000000
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χ702-2-22-2-2222-22-2-10000-22-22-222-21111-1-1-1−i3i3−i3i3−i3i3−i3i3000000-11-111-11-11-11-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300-2200-22i3−i3−i3i31-11-1i3−i3−i3i31-11-100000000000000000000
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χ854444-4-4-4-444-4-4-244-4-400000000-2-22222-2-2-2-2-222224-40000-2-2220000000000000000-2-22200000000000000000000000000000000000000000000
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χ974-44-44-4-44000040000440000-4-4-444-4-44-40000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ984-44-44-4-44000040000-4-4000044-444-4-44-4000000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ994-44-44-4-440000-20000440000-4-42-2-222-2223−23−2323−232323−230000000000-222-2000023−23−23230000000000000000000000000000000000000000000000000000
χ1004-44-44-4-440000-20000440000-4-42-2-222-22−232323−2323−23−23230000000000-222-20000−232323−230000000000000000000000000000000000000000000000000000
χ1014-44-44-4-440000-20000-4-40000442-2-222-2223−23−2323−232323−2300000000002-2-220000−232323−230000000000000000000000000000000000000000000000000000
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χ1034-44-4-444-4000040000004i−4i−4i4i00-44-444-4-400000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ1044-44-4-444-400004000000−4i4i4i−4i00-44-444-4-40000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ1054-44-4-444-40000-20000004i−4i−4i4i002-22-2-22223−23−232323−23−232300000000000000−2i2i2i−2i0000−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1064-44-4-444-40000-20000004i−4i−4i4i002-22-2-222−232323−23−232323−2300000000000000−2i2i2i−2i00002i3−2i3−2i32i3000000000000000000000000000000000000000000000000
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χ1084-44-4-444-40000-2000000−4i4i4i−4i002-22-2-222−232323−23−232323−23000000000000002i−2i−2i2i0000−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1094-4-4444-4-44-4-444000000000000-4-444-4-44000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1104-4-4444-4-44-4-44-200000000000022-2-222-2−2i32i3−2i32i32i3−2i32i3−2i3000000-222-20000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ1114-4-4444-4-44-4-44-200000000000022-2-222-22i3−2i32i3−2i3−2i32i3−2i32i3000000-222-200000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ1124-4-4444-4-4-444-44000000000000-4-444-4-4400000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4444-4-4-444-4-200000000000022-2-222-2−2i32i3−2i32i32i3−2i32i3−2i30000002-2-2200000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ1144-4-4444-4-4-444-4-200000000000022-2-222-22i3−2i32i3−2i3−2i32i3−2i32i30000002-2-220000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000000

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