Finite Group Databasebeta

← Group #10847392

Character table — Group #10847392

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order1222222234444444466666664488888888121212121212121222224444444412121212121212121212242424242424242444448888888824661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1-11
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1111-1
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-1-1111-1
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-11
χ13111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-11-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-111-11
χ15111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-111-1-111-11
χ16111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11-111-1-111-1-11-1
χ172222222222222-2-2-2-22222222-2-2000000002222-2-2-2-22222-2-2-2-20000-2-2000000000000000022-2-200000000000000000000
χ182222222222222-2-2-2-22222222-2-2000000002222-2-2-2-2-2-2-2-222220000-2-20000000000000000-2-22200000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-20000220000000000000000-2-22200000000000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-22222000022000000000000000022-2-200000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-10000000022-2-211-1-1-1-11111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-100000000-2-222111111-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-1-1-10000000022-2-211-1-1-1-111111111-1-1-1-1000000000000-2211-1-1000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-1-1-100000000-2-222111111-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ2922-2-22-22-222i2i−2i−2i000022-2-2-22-20022−2−2−i2−i2i2i22i2i−2i−2i000000002i2i−2i−2i0000000000000022−2−2−i2−i2i2i2002-2−i2−i2i2i222−2−2000000000000
χ3022-2-22-22-222i2i−2i−2i000022-2-2-22-20022−2−2−i2−i2i2i22i2i−2i−2i00000000−2i−2i2i2i0000000000000022−2−2−i2−i2i2i200-22i2i2−i2−i2−2−222000000000000
χ3122-2-22-22-222i2i−2i−2i000022-2-2-22-200−2−222i2i2−i2−i22i2i−2i−2i000000002i2i−2i−2i00000000000000−2−222i2i2−i2−i2002-2i2i2−i2−i2−2−222000000000000
χ3222-2-22-22-222i2i−2i−2i000022-2-2-22-200−2−222i2i2−i2−i22i2i−2i−2i00000000−2i−2i2i2i00000000000000−2−222i2i2−i2−i200-22−i2−i2i2i222−2−2000000000000
χ3322-2-22-22-22−2i−2i2i2i000022-2-2-22-20022−2−2i2i2−i2−i2−2i−2i2i2i000000002i2i−2i−2i0000000000000022−2−2i2i2−i2−i200-22−i2−i2i2i2−2−222000000000000
χ3422-2-22-22-22−2i−2i2i2i000022-2-2-22-20022−2−2i2i2−i2−i2−2i−2i2i2i00000000−2i−2i2i2i0000000000000022−2−2i2i2−i2−i2002-2i2i2−i2−i222−2−2000000000000
χ3522-2-22-22-22−2i−2i2i2i000022-2-2-22-200−2−222−i2−i2i2i2−2i−2i2i2i000000002i2i−2i−2i00000000000000−2−222−i2−i2i2i200-22i2i2−i2−i222−2−2000000000000
χ3622-2-22-22-22−2i−2i2i2i000022-2-2-22-200−2−222−i2−i2i2i2−2i−2i2i2i00000000−2i−2i2i2i00000000000000−2−222−i2−i2i2i2002-2−i2−i2i2i2−2−222000000000000
χ372-22-22-2-2222i−2i2i−2i2-22-22-22-2-2-222i−2i000000002i−2i2i−2i2-22-20000000000002i−2i000000000000000000002-22-22i−2i2i−2i000000000000
χ382-22-22-2-2222i−2i2i−2i2-22-22-22-2-2-222i−2i000000002i−2i2i−2i2-22-20000000000002i−2i00000000000000000000-22-22−2i2i−2i2i000000000000
χ392-22-22-2-2222i−2i2i−2i-22-222-22-2-2-22−2i2i2i−2i2i−2i2-22-22i−2i2i−2i-22-22000000000000−2i2i000000002i−2i2i−2i2-22-2000000000000000000000000
χ402-22-22-2-2222i−2i2i−2i-22-222-22-2-2-22−2i2i−2i2i−2i2i-22-222i−2i2i−2i-22-22000000000000−2i2i00000000−2i2i−2i2i-22-22000000000000000000000000
χ412-22-22-2-222−2i2i−2i2i2-22-22-22-2-2-22−2i2i00000000−2i2i−2i2i2-22-2000000000000−2i2i000000000000000000002-22-2−2i2i−2i2i000000000000
χ422-22-22-2-222−2i2i−2i2i2-22-22-22-2-2-22−2i2i00000000−2i2i−2i2i2-22-2000000000000−2i2i00000000000000000000-22-222i−2i2i−2i000000000000
χ432-22-22-2-222−2i2i−2i2i-22-222-22-2-2-222i−2i2i−2i2i−2i-22-22−2i2i−2i2i-22-220000000000002i−2i000000002i−2i2i−2i-22-22000000000000000000000000
χ442-22-22-2-222−2i2i−2i2i-22-222-22-2-2-222i−2i−2i2i−2i2i2-22-2−2i2i−2i2i-22-220000000000002i−2i00000000−2i2i−2i2i2-22-2000000000000000000000000
χ452-22-22-2-22-12i−2i2i−2i-22-22-11-1111-1−2i2i2i−2i2i−2i2-22-2−ii−ii1-11-1000000000000i−i33−3−3−i3−i3i3i3−ii−ii-11-1100000000000000−i3i33−3000000
χ462-22-22-2-22-12i−2i2i−2i-22-22-11-1111-1−2i2i2i−2i2i−2i2-22-2−ii−ii1-11-1000000000000i−i−3−333i3i3−i3−i3−ii−ii-11-1100000000000000i3−i3−33000000
χ472-22-22-2-22-12i−2i2i−2i-22-22-11-1111-1−2i2i−2i2i−2i2i-22-22−ii−ii1-11-1000000000000i−i33−3−3−i3−i3i3i3i−ii−i1-11-100000000000000i3−i3−33000000
χ482-22-22-2-22-12i−2i2i−2i-22-22-11-1111-1−2i2i−2i2i−2i2i-22-22−ii−ii1-11-1000000000000i−i−3−333i3i3−i3−i3i−ii−i1-11-100000000000000−i3i33−3000000
χ492-22-22-2-22-1−2i2i−2i2i-22-22-11-1111-12i−2i2i−2i2i−2i-22-22i−ii−i1-11-1000000000000−ii33−3−3i3i3−i3−i3−ii−ii1-11-100000000000000−i3i3−33000000
χ502-22-22-2-22-1−2i2i−2i2i-22-22-11-1111-12i−2i2i−2i2i−2i-22-22i−ii−i1-11-1000000000000−ii−3−333−i3−i3i3i3−ii−ii1-11-100000000000000i3−i33−3000000
χ512-22-22-2-22-1−2i2i−2i2i-22-22-11-1111-12i−2i−2i2i−2i2i2-22-2i−ii−i1-11-1000000000000−ii33−3−3i3i3−i3−i3i−ii−i-11-1100000000000000i3−i33−3000000
χ522-22-22-2-22-1−2i2i−2i2i-22-22-11-1111-12i−2i−2i2i−2i2i2-22-2i−ii−i1-11-1000000000000−ii−3−333−i3−i3i3i3i−ii−i-11-1100000000000000−i3i3−33000000
χ532-2-2222-2-222-2-2200002-2-222-2-200−i2i2i2−i2−i2i2i2−i22-2-22000022-2-2000000000000000000−i2i2i2−i2−i2i2i2−i22-200−i2i2i2−i2−i2i2i2−i2000000000000
χ542-2-2222-2-222-2-2200002-2-222-2-200−i2i2i2−i2−i2i2i2−i22-2-220000-2-222000000000000000000−i2i2i2−i2−i2i2i2−i2-2200i2−i2−i2i2i2−i2−i2i2000000000000
χ552-2-2222-2-222-2-2200002-2-222-2-200i2−i2−i2i2i2−i2−i2i22-2-22000022-2-2000000000000000000i2−i2−i2i2i2−i2−i2i22-200i2−i2−i2i2i2−i2−i2i2000000000000
χ562-2-2222-2-222-2-2200002-2-222-2-200i2−i2−i2i2i2−i2−i2i22-2-220000-2-222000000000000000000i2−i2−i2i2i2−i2−i2i2-2200−i2i2i2−i2−i2i2i2−i2000000000000
χ572-2-2222-2-22-222-200002-2-222-2-200−i2i2i2−i2i2−i2−i2i2-222-2000022-2-2000000000000000000−i2i2i2−i2i2−i2−i2i2-2200−i2i2i2−i2i2−i2−i2i2000000000000
χ582-2-2222-2-22-222-200002-2-222-2-200−i2i2i2−i2i2−i2−i2i2-222-20000-2-222000000000000000000−i2i2i2−i2i2−i2−i2i22-200i2−i2−i2i2−i2i2i2−i2000000000000
χ592-2-2222-2-22-222-200002-2-222-2-200i2−i2−i2i2−i2i2i2−i2-222-2000022-2-2000000000000000000i2−i2−i2i2−i2i2i2−i2-2200i2−i2−i2i2−i2i2i2−i2000000000000
χ602-2-2222-2-22-222-200002-2-222-2-200i2−i2−i2i2−i2i2i2−i2-222-20000-2-222000000000000000000i2−i2−i2i2−i2i2i2−i22-200−i2i2i2−i2i2−i2−i2i2000000000000
χ612-2-2-2-2222200002-2-22-2-2-22-222000000000000002-2-222-22-22-22-2002-20000002-22-200000000000000000000000000002-200
χ622-2-2-2-2222200002-2-22-2-2-22-222000000000000002-2-222-22-22-22-200-22000000-22-220000000000000000000000000000-2200
χ632-2-2-2-2222200002-2-22-2-2-22-222000000000000002-2-22-22-22-22-22002-20000002-22-20000000000000000000000000000-2200
χ642-2-2-2-2222200002-2-22-2-2-22-222000000000000002-2-22-22-22-22-2200-22000000-22-2200000000000000000000000000002-200
χ652-2-2-2-222220000-222-2-2-2-22-22200000000000000-222-22-22-2-22-222-200002-22-20000000000000000000000000000002-20000
χ662-2-2-2-222220000-222-2-2-2-22-22200000000000000-222-22-22-2-22-22-220000-22-22000000000000000000000000000000-220000
χ672-2-2-2-222220000-222-2-2-2-22-22200000000000000-222-2-22-222-22-22-200002-22-2000000000000000000000000000000-220000
χ682-2-2-2-222220000-222-2-2-2-22-22200000000000000-222-2-22-222-22-2-220000-22-220000000000000000000000000000002-20000
χ6944444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-400000000-2-2-2-22222000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2440000000022222222000000000000-2-20000000000000000000000000000000000000000
χ71444-4-44-4-4400000000-4444-4-4-40000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ72444-4-44-4-4400000000-4444-4-4-4000000000000000000-444-400000000000000000000000000000000000000000000000000
χ7344-44-4-4-444000044-4-4-44-4-44-440000000000000044-4-4000000000000000000000000000000000000000000000000000000
χ7444-44-4-4-4440000-4-444-44-4-44-4400000000000000-4-444000000000000000000000000000000000000000000000000000000
χ7544-44-4-4-44-2000044-4-42-222-22-200000000000000-2-2220000000000000023−23−2323000000000000000000000000000000000000
χ7644-44-4-4-44-2000044-4-42-222-22-200000000000000-2-22200000000000000−232323−23000000000000000000000000000000000000
χ7744-44-4-4-44-20000-4-4442-222-22-20000000000000022-2-2000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ7844-44-4-4-44-20000-4-4442-222-22-20000000000000022-2-20000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ7944-4-44-44-4-24i4i−4i−4i0000-2-2222-22002222−22−22−2i2−2i22i22i2−2i−2i2i2i00000000000000000000000000−2−222i2i2−i2−i2000000000000000000000000
χ8044-4-44-44-4-24i4i−4i−4i0000-2-2222-2200−22−2222222i22i2−2i2−2i2−2i−2i2i2i0000000000000000000000000022−2−2−i2−i2i2i2000000000000000000000000
χ8144-4-44-44-4-2−4i−4i4i4i0000-2-2222-22002222−22−222i22i2−2i2−2i22i2i−2i−2i00000000000000000000000000−2−222−i2−i2i2i2000000000000000000000000
χ8244-4-44-44-4-2−4i−4i4i4i0000-2-2222-2200−22−222222−2i2−2i22i22i22i2i−2i−2i0000000000000000000000000022−2−2i2i2−i2−i2000000000000000000000000
χ834-444-4-44-4400000000-4-44-444-400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ844-444-4-44-4400000000-4-44-444-40000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ854-44-44-4-44-24i−4i4i−4i4-44-4-22-2222-24i−4i00000000−2i2i−2i2i-22-22000000000000−2i2i0000000000000000000000000000000000000000
χ864-44-44-4-44-2−4i4i−4i4i4-44-4-22-2222-2−4i4i000000002i−2i2i−2i-22-220000000000002i−2i0000000000000000000000000000000000000000
χ874-4-4444-4-4-24-4-440000-222-2-22200−2i22i22i2−2i2−2i22i22i2−2i2-222-200000000000000000000000000i2−i2−i2i2i2−i2−i2i2000000000000000000000000
χ884-4-4444-4-4-24-4-440000-222-2-222002i2−2i2−2i22i22i2−2i2−2i22i2-222-200000000000000000000000000−i2i2i2−i2−i2i2i2−i2000000000000000000000000
χ894-4-4444-4-4-2-444-40000-222-2-22200−2i22i22i2−2i22i2−2i2−2i22i22-2-2200000000000000000000000000i2−i2−i2i2−i2i2i2−i2000000000000000000000000
χ904-4-4444-4-4-2-444-40000-222-2-222002i2−2i2−2i22i2−2i22i22i2−2i22-2-2200000000000000000000000000−i2i2i2−i2i2−i2−i2i2000000000000000000000000
χ914-4-4-4-4444-200004-4-44222-22-2-200000000000000-222-200000000004-4000000-22-2200000000000000000000000000000000
χ924-4-4-4-4444-200004-4-44222-22-2-200000000000000-222-20000000000-440000002-22-200000000000000000000000000000000
χ934-4-4-4-4444-20000-444-4222-22-2-2000000000000002-2-22000000004-40000-22-22000000000000000000000000000000000000
χ944-4-4-4-4444-20000-444-4222-22-2-2000000000000002-2-2200000000-4400002-22-2000000000000000000000000000000000000
χ95888-8-88-8-8-4000000004-4-4-4444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-888-8-88-8-40000000044-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000

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