Finite Group Databasebeta

← Group #10943845

Character table — Group #10943845

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666222222444412121212121212122222444466666688881212121224242424242424242222224444444412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-111-1-111-1-11-1
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-1-111-1-111-11
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-111-11
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111111-111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-11-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-11-111-1-111-1-1-11
χ172222222222222-2-2-2-22222222-2-200000000-2-22222-2-222222222-2-200000000000000000000-2-20000-2-20000000000000000
χ182222222222222-2-2-2-22222222-2-200000000-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000220000220000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000220000-2-20000000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000-2-20000220000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-1-1111122221111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-1-11111-2-2-2-211111111111100000000000022-1-1-1-1000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-11111-1-10000000011-1-1-1-122-2-21111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-11111-1-10000000011-1-1-1-1-2-22211111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-10000000011111122-2-2-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-100000000111111-2-222-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ2922-2-222-2-222i2i−2i−2i000022-2-2-22-20000000000002i2i−2i−2i0022-2-22i2i−2i−2i0000002−2−i2i2000022−2−2−i2−i2i2i20000000000000000002−2−i2i200
χ3022-2-222-2-222i2i−2i−2i000022-2-2-22-20000000000002i2i−2i−2i0022-2-22i2i−2i−2i000000−22i2−i20000−2−222i2i2−i2−i2000000000000000000−22i2−i200
χ3122-2-222-2-222i2i−2i−2i000022-2-2-22-20000000000002i2i−2i−2i00-2-222−2i−2i2i2i0000002−2−i2i2000022−2−2−i2−i2i2i2000000000000000000−22i2−i200
χ3222-2-222-2-222i2i−2i−2i000022-2-2-22-20000000000002i2i−2i−2i00-2-222−2i−2i2i2i000000−22i2−i20000−2−222i2i2−i2−i20000000000000000002−2−i2i200
χ3322-2-222-2-22−2i−2i2i2i000022-2-2-22-2000000000000−2i−2i2i2i0022-2-2−2i−2i2i2i0000002−2i2−i2000022−2−2i2i2−i2−i20000000000000000002−2i2−i200
χ3422-2-222-2-22−2i−2i2i2i000022-2-2-22-2000000000000−2i−2i2i2i0022-2-2−2i−2i2i2i000000−22−i2i20000−2−222−i2−i2i2i2000000000000000000−22−i2i200
χ3522-2-222-2-22−2i−2i2i2i000022-2-2-22-2000000000000−2i−2i2i2i00-2-2222i2i−2i−2i0000002−2i2−i2000022−2−2i2i2−i2−i2000000000000000000−22−i2i200
χ3622-2-222-2-22−2i−2i2i2i000022-2-2-22-2000000000000−2i−2i2i2i00-2-2222i2i−2i−2i000000−22−i2i20000−2−222−i2−i2i2i20000000000000000002−2i2−i200
χ3722-2-2-2-222200002-22-22-22-2-2-2200000022-2-22-200002-22-22-20000000000000022-2-2000000000000002-222-2-2000000000000
χ3822-2-2-2-222200002-22-22-22-2-2-2200000022-2-22-200002-2-22-220000000000000022-2-200000000000000-22-2-222000000000000
χ3922-2-2-2-222200002-22-22-22-2-2-22000000-2-2222-200002-22-22-200000000000000-2-222000000000000002-2-2-222000000000000
χ4022-2-2-2-222200002-22-22-22-2-2-22000000-2-2222-200002-2-22-2200000000000000-2-22200000000000000-2222-2-2000000000000
χ4122-2-2-2-22220000-22-222-22-2-2-220022-2-20000-220000-222-22-200000022-2-200000000000000000022-2-2-220000000000000000
χ4222-2-2-2-22220000-22-222-22-2-2-220022-2-20000-220000-22-22-2200000022-2-2000000000000000000-2-2222-20000000000000000
χ4322-2-2-2-22220000-22-222-22-2-2-2200-2-2220000-220000-222-22-2000000-2-222000000000000000000-2-222-220000000000000000
χ4422-2-2-2-22220000-22-222-22-2-2-2200-2-2220000-220000-22-22-22000000-2-22200000000000000000022-2-22-20000000000000000
χ452-22-22-2-2222-22-222-2-2-2-2-22-2222-22-22-22-22-2-2-22-22-222000000002-22-22-200002-22-200000000000000000000000000000000
χ462-22-22-2-2222-22-222-2-2-2-2-22-2222-2-22-22-22-22-2-22-22-222000000002-2-22-220000-22-2200000000000000000000000000000000
χ472-22-22-2-2222-22-2-2-222-2-2-22-222-2200000000222-22-2-2-200000000-2200000000000000000000002-22-2002-22-2000000000000
χ482-22-22-2-2222-22-2-2-222-2-2-22-222-2200000000222-22-2-2-200000000-220000000000000000000000-22-2200-22-22000000000000
χ492-22-22-2-222-22-2222-2-2-2-2-22-222-222-22-2-22-22-2-2-22-222200000000-222-22-20000-22-2200000000000000000000000000000000
χ502-22-22-2-222-22-2222-2-2-2-2-22-222-22-22-222-22-2-2-2-22-222200000000-22-22-2200002-22-200000000000000000000000000000000
χ512-22-22-2-222-22-22-2-222-2-2-22-2222-20000000022-22-22-2-2000000002-200000000000000000000002-22-200-22-22000000000000
χ522-22-22-2-222-22-22-2-222-2-2-22-2222-20000000022-22-22-2-2000000002-20000000000000000000000-22-22002-22-2000000000000
χ532-22-22-2-22-12-22-222-2-2111-11-1-12-22-22-22-22-211-11-11-1-100000000-11-11-110000-11-11−i3i3−i3i3−i3i3−i3i300000000000000−i3i3−i3i3000000
χ542-22-22-2-22-12-22-222-2-2111-11-1-12-22-22-22-22-211-11-11-1-100000000-11-11-110000-11-11i3−i3i3−i3i3−i3i3−i300000000000000i3−i3i3−i3000000
χ552-22-22-2-22-12-22-222-2-2111-11-1-12-2-22-22-22-2211-11-11-1-100000000-111-11-100001-11-1−i3i3−i3i3−i3i3−i3i300000000000000i3−i3i3−i3000000
χ562-22-22-2-22-12-22-222-2-2111-11-1-12-2-22-22-22-2211-11-11-1-100000000-111-11-100001-11-1i3−i3i3−i3i3−i3i3−i300000000000000−i3i3−i3i3000000
χ572-22-22-2-22-1-22-2222-2-2111-11-1-1-222-22-2-22-22111-11-1-1-1000000001-1-11-1100001-11-1−i3i3−i3i3i3−i3i3−i300000000000000−i3i3i3−i3000000
χ582-22-22-2-22-1-22-2222-2-2111-11-1-1-222-22-2-22-22111-11-1-1-1000000001-1-11-1100001-11-1i3−i3i3−i3−i3i3−i3i300000000000000i3−i3−i3i3000000
χ592-22-22-2-22-1-22-2222-2-2111-11-1-1-22-22-222-22-2111-11-1-1-1000000001-11-11-10000-11-11−i3i3−i3i3i3−i3i3−i300000000000000i3−i3−i3i3000000
χ602-22-22-2-22-1-22-2222-2-2111-11-1-1-22-22-222-22-2111-11-1-1-1000000001-11-11-10000-11-11i3−i3i3−i3−i3i3−i3i300000000000000−i3i3i3−i3000000
χ612-2-22-22-22200002-2-22-22-2-22-220000002-2-22-2200002-200002-22-200000000002-2-22000000002-22-2-22000000000000000000
χ622-2-22-22-22200002-2-22-22-2-22-220000002-2-22-2200002-20000-22-2200000000002-2-2200000000-22-222-2000000000000000000
χ632-2-22-22-22200002-2-22-22-2-22-22000000-222-2-2200002-200002-22-20000000000-222-2000000002-2-222-2000000000000000000
χ642-2-22-22-22200002-2-22-22-2-22-22000000-222-2-2200002-20000-22-220000000000-222-200000000-222-2-22000000000000000000
χ652-2-22-22-2220000-222-2-22-2-22-22002-2-2200002-20000-2200002-22-2002-2-220000000000000000-220000002-2-22000000000000
χ662-2-22-22-2220000-222-2-22-2-22-22002-2-2200002-20000-220000-22-22002-2-2200000000000000002-2000000-222-2000000000000
χ672-2-22-22-2220000-222-2-22-2-22-2200-222-200002-20000-2200002-22-200-222-20000000000000000-22000000-222-2000000000000
χ682-2-22-22-2220000-222-2-22-2-22-2200-222-200002-20000-220000-22-2200-222-200000000000000002-20000002-2-22000000000000
χ6944444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-40000000022-2-2-2-222000000002200000000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-244000000002222222200000000-2-200000000000000000000000000000000000000000000
χ714444-4-4-4-44000000004-4-444-4-40000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ724444-4-4-4-44000000004-4-444-4-4000000000000000000-444-400000000000000000000000000000000000000000000000000
χ7344-4-444-4-4-24i4i−4i−4i0000-2-2222-22000000000000−2i−2i2i2i000000000000000022−22−2i22i20000−2−222i2i2−i2−i2000000000000000000000000
χ7444-4-444-4-4-24i4i−4i−4i0000-2-2222-22000000000000−2i−2i2i2i0000000000000000−22222i2−2i2000022−2−2−i2−i2i2i2000000000000000000000000
χ7544-4-444-4-4-2−4i−4i4i4i0000-2-2222-220000000000002i2i−2i−2i000000000000000022−222i2−2i20000−2−222−i2−i2i2i2000000000000000000000000
χ7644-4-444-4-4-2−4i−4i4i4i0000-2-2222-220000000000002i2i−2i−2i0000000000000000−2222−2i22i2000022−2−2i2i2−i2−i2000000000000000000000000
χ7744-4-4-4-444-200004-44-4-22-2222-200000044-4-4-220000-22000000000000000000-2-22200000000000000000000000000000000
χ7844-4-4-4-444-200004-44-4-22-2222-2000000-4-444-220000-2200000000000000000022-2-200000000000000000000000000000000
χ7944-4-4-4-444-20000-44-44-22-2222-20044-4-400002-200002-20000000000-2-2220000000000000000000000000000000000000000
χ8044-4-4-4-444-20000-44-44-22-2222-200-4-44400002-200002-2000000000022-2-20000000000000000000000000000000000000000
χ814-44-44-4-44-24-44-4-4-444222-22-2-2-4400000000-2-2-22-2222000000002-200000000000000000000000000000000000000000000
χ824-44-44-4-44-2-44-44-4-444222-22-2-24-400000000-2-22-22-22200000000-2200000000000000000000000000000000000000000000
χ834-44-4-444-4400000000-4444-4-4-400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ844-44-4-444-4400000000-4444-4-4-40000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ854-4-444-44-444i−4i−4i4i0000-4-44-444-40000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ864-4-444-44-44−4i4i4i−4i0000-4-44-444-4000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ874-4-444-44-4-24i−4i−4i4i000022-22-2-22000000000000−2i2i2i−2i000000000000000000000000i6−i6−i6i66−6−66000000000000000000000000
χ884-4-444-44-4-24i−4i−4i4i000022-22-2-22000000000000−2i2i2i−2i000000000000000000000000−i6i6i6−i6−666−6000000000000000000000000
χ894-4-444-44-4-2−4i4i4i−4i000022-22-2-220000000000002i−2i−2i2i000000000000000000000000i6−i6−i6i6−666−6000000000000000000000000
χ904-4-444-44-4-2−4i4i4i−4i000022-22-2-220000000000002i−2i−2i2i000000000000000000000000−i6i6i6−i66−6−66000000000000000000000000
χ914-4-44-44-44-200004-4-442-222-22-20000004-4-442-20000-22000000000000000000-222-200000000000000000000000000000000
χ924-4-44-44-44-200004-4-442-222-22-2000000-444-42-20000-220000000000000000002-2-2200000000000000000000000000000000
χ934-4-44-44-44-20000-444-42-222-22-2004-4-440000-2200002-20000000000-222-20000000000000000000000000000000000000000
χ944-4-44-44-44-20000-444-42-222-22-200-444-40000-2200002-200000000002-2-220000000000000000000000000000000000000000
χ958888-8-8-8-8-400000000-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-888-8-4000000004-4-4-4444000000000000000000000000000000000000000000000000000000000000000000000000

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