Finite Group Databasebeta

← Group #10945105

Character table — Group #10945105

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666444444444412121212121212124444444488881212121212121212121224242424242424244444444444444412121212888822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111111-1-1-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11-1
χ10111111111-1-1-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-111-1-111-11
χ11111111111-1-1-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111-11
χ12111111111-1-1-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-11111-1-1111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-11111-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-11111-1-1111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-11111-1-1111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11-111-1-111-1-1-11
χ172222222222222-2-2-2-2222222200000000-2-2-2-2-22222-2222222220000-2-20000000000000000-2-2-2-200000000000000000000
χ182222222222222-2-2-2-2222222200000000-2-2-2-2-22222-2-2-2-2-2-2-2-2-20000-2-20000000000000000222200000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222220000000022-2-2-2-2-2-2-2-22222-2-2-2-20000220000000000000000-2-22200000000000000000000
χ20222222222-2-2-2-2-2-2-2-222222220000000022-2-2-2-2-2-2-2-2-2-2-2-22222000022000000000000000022-2-200000000000000000000
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
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1000000002222-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-11111-10000000022-2-211-1-1-1-11111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-1-11111-100000000-2-22211-1-1-1-111111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-22222-2-2-1-1-11111-10000000022-2-2111111-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-22222-2-2-1-1-11111-100000000-2-222111111-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ292222-2-2-2-2222-2-2000022-2-2-2-22000000000000022-2-2022-2-222-2-2−i2i2−i2i20000000000−i2−i2i2i2−i2−i2i2i2000000000000000000−i2i2−i2i200
χ302222-2-2-2-2222-2-2000022-2-2-2-22000000000000022-2-2022-2-222-2-2i2−i2i2−i20000000000i2i2−i2−i2i2i2−i2−i2000000000000000000i2−i2i2−i200
χ312222-2-2-2-2222-2-2000022-2-2-2-22000000000000022-2-20-2-222-2-222−i2i2−i2i20000000000−i2−i2i2i2−i2−i2i2i2000000000000000000i2−i2i2−i200
χ322222-2-2-2-2222-2-2000022-2-2-2-22000000000000022-2-20-2-222-2-222i2−i2i2−i20000000000i2i2−i2−i2i2i2−i2−i2000000000000000000−i2i2−i2i200
χ332222-2-2-2-22-2-222000022-2-2-2-220000000000000-2-222022-2-2-2-222−i2i2i2−i20000000000−i2−i2i2i2i2i2−i2−i2000000000000000000−i2i2i2−i200
χ342222-2-2-2-22-2-222000022-2-2-2-220000000000000-2-222022-2-2-2-222i2−i2−i2i20000000000i2i2−i2−i2−i2−i2i2i2000000000000000000i2−i2−i2i200
χ352222-2-2-2-22-2-222000022-2-2-2-220000000000000-2-2220-2-22222-2-2−i2i2i2−i20000000000−i2−i2i2i2i2i2−i2−i2000000000000000000i2−i2−i2i200
χ362222-2-2-2-22-2-222000022-2-2-2-220000000000000-2-2220-2-22222-2-2i2−i2−i2i20000000000i2i2−i2−i2−i2−i2i2i2000000000000000000−i2i2i2−i200
χ3722-2-22-22-2200002-22-22-22-22-2-200002i2i−2i−2i002-2-20000200002i−2i2i−2i00000000002i2i−2i−2i00000000002i−2i22-2-20000000000000000
χ3822-2-22-22-2200002-22-22-22-22-2-200002i2i−2i−2i002-2-2000020000−2i2i−2i2i00000000002i2i−2i−2i0000000000−2i2i-2-2220000000000000000
χ3922-2-22-22-2200002-22-22-22-22-2-20000−2i−2i2i2i002-2-20000200002i−2i2i−2i0000000000−2i−2i2i2i00000000002i−2i-2-2220000000000000000
χ4022-2-22-22-2200002-22-22-22-22-2-20000−2i−2i2i2i002-2-2000020000−2i2i−2i2i0000000000−2i−2i2i2i0000000000−2i2i22-2-20000000000000000
χ4122-2-22-22-220000-22-222-22-22-2-222-2-2000000-2220000-200002i−2i2i−2i00000022-2-200000000000000−2i2i00002i2i−2i−2i000000000000
χ4222-2-22-22-220000-22-222-22-22-2-222-2-2000000-2220000-20000−2i2i−2i2i00000022-2-2000000000000002i−2i0000−2i−2i2i2i000000000000
χ4322-2-22-22-220000-22-222-22-22-2-2-2-222000000-2220000-200002i−2i2i−2i000000-2-22200000000000000−2i2i0000−2i−2i2i2i000000000000
χ4422-2-22-22-220000-22-222-22-22-2-2-2-222000000-2220000-20000−2i2i−2i2i000000-2-222000000000000002i−2i00002i2i−2i−2i000000000000
χ452-22-2-222-2200002-2-22-222-2-22-200002-22-20022-20000-22i−2i2i−2i000000000000002-22-2000000002i−2i0000002i−2i2i−2i000000000000
χ462-22-2-222-2200002-2-22-222-2-22-200002-22-20022-20000-2−2i2i−2i2i000000000000002-22-200000000−2i2i000000−2i2i−2i2i000000000000
χ472-22-2-222-2200002-2-22-222-2-22-20000-22-220022-20000-22i−2i2i−2i00000000000000-22-22000000002i−2i000000−2i2i−2i2i000000000000
χ482-22-2-222-2200002-2-22-222-2-22-20000-22-220022-20000-2−2i2i−2i2i00000000000000-22-2200000000−2i2i0000002i−2i2i−2i000000000000
χ492-22-2-222-220000-222-2-222-2-22-22i−2i2i−2i000000-2-22000022i−2i2i−2i00000000002i−2i2i−2i000000000000−2i2i002-22-20000000000000000
χ502-22-2-222-220000-222-2-222-2-22-22i−2i2i−2i000000-2-2200002−2i2i−2i2i00000000002i−2i2i−2i0000000000002i−2i00-22-220000000000000000
χ512-22-2-222-220000-222-2-222-2-22-2−2i2i−2i2i000000-2-22000022i−2i2i−2i0000000000−2i2i−2i2i000000000000−2i2i00-22-220000000000000000
χ522-22-2-222-220000-222-2-222-2-22-2−2i2i−2i2i000000-2-2200002−2i2i−2i2i0000000000−2i2i−2i2i0000000000002i−2i002-22-20000000000000000
χ532-2-22-2-22222-22-222-2-2-2-222-2-222i−2i−2i2i2i−2i−2i2i2-22-222-22-2-20000000000002-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ542-2-22-2-22222-22-222-2-2-2-222-2-22−2i2i2i−2i−2i2i2i−2i2-22-222-22-2-20000000000002-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ552-2-22-2-22222-22-2-2-222-2-222-2-2200000000-22-22-22-22-22000000000000-22000000000000000000002-2-22-222-2000000000000
χ562-2-22-2-22222-22-2-2-222-2-222-2-2200000000-22-22-22-22-22000000000000-2200000000000000000000-222-22-2-22000000000000
χ572-2-22-2-2222-22-2222-2-2-2-222-2-222i−2i−2i2i−2i2i2i−2i-222-22-22-22-2000000000000-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ582-2-22-2-2222-22-2222-2-2-2-222-2-22−2i2i2i−2i2i−2i−2i2i-222-22-22-22-2000000000000-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ592-2-22-2-2222-22-22-2-222-2-222-2-22000000002-2-22-2-22-2220000000000002-2000000000000000000002-2-222-2-22000000000000
χ602-2-22-2-2222-22-22-2-222-2-222-2-22000000002-2-22-2-22-2220000000000002-200000000000000000000-222-2-222-2000000000000
χ612-2-22-2-222-12-22-222-2-211-1-111-12i−2i−2i2i2i−2i−2i2i2-2-11-1-11-111000000000000-11−iii−i−iii−i3−33−33−33−300000000000000−i3i3−i3i3000000
χ622-2-22-2-222-12-22-222-2-211-1-111-12i−2i−2i2i2i−2i−2i2i2-2-11-1-11-111000000000000-11−iii−i−iii−i−33−33−33−3300000000000000i3−i3i3−i3000000
χ632-2-22-2-222-12-22-222-2-211-1-111-1−2i2i2i−2i−2i2i2i−2i2-2-11-1-11-111000000000000-11i−i−iii−i−ii3−33−33−33−300000000000000i3−i3i3−i3000000
χ642-2-22-2-222-12-22-222-2-211-1-111-1−2i2i2i−2i−2i2i2i−2i2-2-11-1-11-111000000000000-11i−i−iii−i−ii−33−33−33−3300000000000000−i3i3−i3i3000000
χ652-2-22-2-222-1-22-2222-2-211-1-111-12i−2i−2i2i−2i2i2i−2i-22-11-11-11-110000000000001-1−iii−ii−i−ii3−33−3−33−3300000000000000−i3i3i3−i3000000
χ662-2-22-2-222-1-22-2222-2-211-1-111-12i−2i−2i2i−2i2i2i−2i-22-11-11-11-110000000000001-1−iii−ii−i−ii−33−333−33−300000000000000i3−i3−i3i3000000
χ672-2-22-2-222-1-22-2222-2-211-1-111-1−2i2i2i−2i2i−2i−2i2i-22-11-11-11-110000000000001-1i−i−ii−iii−i3−33−3−33−3300000000000000i3−i3−i3i3000000
χ682-2-22-2-222-1-22-2222-2-211-1-111-1−2i2i2i−2i2i−2i−2i2i-22-11-11-11-110000000000001-1i−i−ii−iii−i−33−333−33−300000000000000−i3i3i3−i3000000
χ6944444444-24444-4-4-4-4-2-2-2-2-2-2-200000000-4-4222-2-2-2-22000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2000000004422222222000000000000-2-20000000000000000000000000000000000000000
χ714444-4-4-4-4-244-4-40000-2-22222-20000000000000-2-222000000000−2i22i2−2i22i20000000000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ724444-4-4-4-4-244-4-40000-2-22222-20000000000000-2-2220000000002i2−2i22i2−2i20000000000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ734444-4-4-4-4-2-4-4440000-2-22222-2000000000000022-2-2000000000−2i22i22i2−2i20000000000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ744444-4-4-4-4-2-4-4440000-2-22222-2000000000000022-2-20000000002i2−2i2−2i22i20000000000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ7544-4-44-44-4-200004-44-4-22-22-22200004i4i−4i−4i00-2220000-2000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ7644-4-44-44-4-200004-44-4-22-22-2220000−4i−4i4i4i00-2220000-20000000000000000002i2i−2i−2i00000000000000000000000000000000
χ7744-4-44-44-4-20000-44-44-22-22-22244-4-40000002-2-20000200000000000000-2-222000000000000000000000000000000000000
χ7844-4-44-44-4-20000-44-44-22-22-222-4-4440000002-2-2000020000000000000022-2-2000000000000000000000000000000000000
χ7944-4-4-44-444000000004-4-44-44-400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ8044-4-4-44-444000000004-4-44-44-40000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ814-44-44-4-44400000000-44-444-4-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ824-44-44-4-44400000000-44-444-4-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ834-44-4-444-4-200004-4-442-2-222-2200004-44-400-2-2200002000000000000000000-22-2200000000000000000000000000000000
χ844-44-4-444-4-200004-4-442-2-222-220000-44-4400-2-22000020000000000000000002-22-200000000000000000000000000000000
χ854-44-4-444-4-20000-444-42-2-222-224i−4i4i−4i00000022-20000-200000000000000−2i2i−2i2i000000000000000000000000000000000000
χ864-44-4-444-4-20000-444-42-2-222-22−4i4i−4i4i00000022-20000-2000000000000002i−2i2i−2i000000000000000000000000000000000000
χ874-4-4444-4-444-4-440000-4-4-4-444400000000000004-4-440000000000000000000000000000000000000000000000000000000
χ884-4-4444-4-44-444-40000-4-4-4-44440000000000000-444-40000000000000000000000000000000000000000000000000000000
χ894-4-4444-4-4-24-4-4400002222-2-2-20000000000000-222-200000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ904-4-4444-4-4-24-4-4400002222-2-2-20000000000000-222-200000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ914-4-4444-4-4-2-444-400002222-2-2-200000000000002-2-2200000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ924-4-4444-4-4-2-444-400002222-2-2-200000000000002-2-2200000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ934-4-44-4-444-24-44-4-4-44422-2-222-200000000-442-22-22-22-20000000000002-20000000000000000000000000000000000000000
χ944-4-44-4-444-2-44-44-4-44422-2-222-2000000004-42-222-22-2-2000000000000-220000000000000000000000000000000000000000
χ9588-8-8-88-88-400000000-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-88-8-88-4000000004-44-4-444000000000000000000000000000000000000000000000000000000000000000000000000

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