Finite Group Databasebeta

← Group #10945107

Character table — Group #10945107

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order12222222344444444666666622224444441212121212121212444444446666888812121212121224242424242424244444444444444412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ7111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1
χ9111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-1-1-11111-1-1-11
χ10111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1111-1-1-1-1111-1
χ11111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1111-1
χ12111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1111-1-111-1-1-11
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1111-1-111-1-11-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-11-1-1-111-1-111-11
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1111-1-1-1-111-11
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1111-1-1-11111-1-11-1
χ172222222222222-2-2-2-222222220000-2-20000-2-22222-2-22222222200000000-2-2000000000000-2-200000000-2-2000000000000
χ182222222222222-2-2-2-222222220000-2-20000-2-22222-2-2-2-2-2-2-2-2-2-200000000-2-2000000000000220000000022000000000000
χ19222222222-2-2-2-2-2-2-2-222222220000220000-2-2-2-2-2-2-2-22222-2-2-2-20000000022000000000000-2-20000000022000000000000
χ20222222222-2-2-2-2-2-2-2-222222220000220000-2-2-2-2-2-2-2-2-2-2-2-2222200000000220000000000002200000000-2-2000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-10000000011112222-1-11111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1000000001111-2-2-2-2-1-111111111111100000000000022-1-1-1-1000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-11111-1-100000000-1-1-1-122-2-2111111-1-1-1-111110000000000002-211-1-1000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-11111-1-100000000-1-1-1-1-2-2221111111111-1-1-1-1000000000000-22-1-111000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-100000000111122-2-211-1-1-1-1-1-1-1-11111000000000000-22-1-111000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-1000000001111-2-22211-1-1-1-11111-1-1-1-10000000000002-211-1-1000000
χ29222-22-2-2-2200002-22-2-2-2-22-22200000022-2-22-200002-22i2i−2i−2i0000000000000022-2-2000000002i−2i00002i2i−2i−2i00000000000000
χ30222-22-2-2-2200002-22-2-2-2-22-22200000022-2-22-200002-2−2i−2i2i2i0000000000000022-2-200000000−2i2i0000−2i−2i2i2i00000000000000
χ31222-22-2-2-2200002-22-2-2-2-22-222000000-2-2222-200002-22i2i−2i−2i00000000000000-2-222000000002i−2i0000−2i−2i2i2i00000000000000
χ32222-22-2-2-2200002-22-2-2-2-22-222000000-2-2222-200002-2−2i−2i2i2i00000000000000-2-22200000000−2i2i00002i2i−2i−2i00000000000000
χ33222-22-2-2-220000-22-22-2-2-22-22222-2-2000000-220000-222i2i−2i−2i000022-2-2000000000000000000−2i2i2i2i−2i−2i000000000000000000
χ34222-22-2-2-220000-22-22-2-2-22-22222-2-2000000-220000-22−2i−2i2i2i000022-2-20000000000000000002i−2i−2i−2i2i2i000000000000000000
χ35222-22-2-2-220000-22-22-2-2-22-222-2-222000000-220000-222i2i−2i−2i0000-2-222000000000000000000−2i2i−2i−2i2i2i000000000000000000
χ36222-22-2-2-220000-22-22-2-2-22-222-2-222000000-220000-22−2i−2i2i2i0000-2-2220000000000000000002i−2i2i2i−2i−2i000000000000000000
χ372-22-2-222-2222-2-2000022-2-2-22-200000000000022-2-2002-22-222-2-20000−i2i2−i2i2000000−i2−i2i2i2−i2−i2i2i2000000000000000000−i2i2−i2i200
χ382-22-2-222-2222-2-2000022-2-2-22-200000000000022-2-2002-22-222-2-20000i2−i2i2−i2000000i2i2−i2−i2i2i2−i2−i2000000000000000000i2−i2i2−i200
χ392-22-2-222-2222-2-2000022-2-2-22-200000000000022-2-200-22-22-2-2220000−i2i2−i2i2000000−i2−i2i2i2−i2−i2i2i2000000000000000000i2−i2i2−i200
χ402-22-2-222-2222-2-2000022-2-2-22-200000000000022-2-200-22-22-2-2220000i2−i2i2−i2000000i2i2−i2−i2i2i2−i2−i2000000000000000000−i2i2−i2i200
χ412-22-2-222-22-2-222000022-2-2-22-2000000000000-2-222002-22-2-2-2220000−i2i2i2−i2000000−i2−i2i2i2i2i2−i2−i2000000000000000000−i2i2i2−i200
χ422-22-2-222-22-2-222000022-2-2-22-2000000000000-2-222002-22-2-2-2220000i2−i2−i2i2000000i2i2−i2−i2−i2−i2i2i2000000000000000000i2−i2−i2i200
χ432-22-2-222-22-2-222000022-2-2-22-2000000000000-2-22200-22-2222-2-20000−i2i2i2−i2000000−i2−i2i2i2i2i2−i2−i2000000000000000000i2−i2−i2i200
χ442-22-2-222-22-2-222000022-2-2-22-2000000000000-2-22200-22-2222-2-20000i2−i2−i2i2000000i2i2−i2−i2−i2−i2i2i2000000000000000000−i2i2i2−i200
χ452-2-2222-2-222i−2i2i−2i2-2-222-22-2-2-222-22-22i−2i2i−2i2i−2i2-22i−2i2i−2i-22000000002-22-200002i−2i2i−2i2i−2i00000000000000000000000000000000
χ462-2-2222-2-222i−2i2i−2i2-2-222-22-2-2-22-22-222i−2i−2i2i−2i2i2-22i−2i2i−2i-2200000000-22-2200002i−2i−2i2i−2i2i00000000000000000000000000000000
χ472-2-2222-2-222i−2i2i−2i-222-22-22-2-2-220000−2i2i0000-222i−2i2i−2i2-20000000000000000−2i2i000000000000002-22-22i−2i2i−2i00000000000000
χ482-2-2222-2-222i−2i2i−2i-222-22-22-2-2-220000−2i2i0000-222i−2i2i−2i2-20000000000000000−2i2i00000000000000-22-22−2i2i−2i2i00000000000000
χ492-2-2222-2-22−2i2i−2i2i2-2-222-22-2-2-222-22-2−2i2i−2i2i−2i2i2-2−2i2i−2i2i-22000000002-22-20000−2i2i−2i2i−2i2i00000000000000000000000000000000
χ502-2-2222-2-22−2i2i−2i2i2-2-222-22-2-2-22-22-22−2i2i2i−2i2i−2i2-2−2i2i−2i2i-2200000000-22-220000−2i2i2i−2i2i−2i00000000000000000000000000000000
χ512-2-2222-2-22−2i2i−2i2i-222-22-22-2-2-2200002i−2i0000-22−2i2i−2i2i2-200000000000000002i−2i000000000000002-22-2−2i2i−2i2i00000000000000
χ522-2-2222-2-22−2i2i−2i2i-222-22-22-2-2-2200002i−2i0000-22−2i2i−2i2i2-200000000000000002i−2i00000000000000-22-222i−2i2i−2i00000000000000
χ532-2-2222-2-2-12i−2i2i−2i2-2-22-11-1111-12-22-22i−2i2i−2i2i−2i-11−ii−ii1-100000000-11-110000−ii−ii−ii−i3i3−i3i33−33−3000000000000003−3−i3i3000000
χ542-2-2222-2-2-12i−2i2i−2i2-2-22-11-1111-12-22-22i−2i2i−2i2i−2i-11−ii−ii1-100000000-11-110000−ii−ii−iii3−i3i3−i3−33−3300000000000000−33i3−i3000000
χ552-2-2222-2-2-12i−2i2i−2i2-2-22-11-1111-1-22-222i−2i−2i2i−2i2i-11−ii−ii1-1000000001-11-10000−iii−ii−i−i3i3−i3i33−33−300000000000000−33i3−i3000000
χ562-2-2222-2-2-12i−2i2i−2i2-2-22-11-1111-1-22-222i−2i−2i2i−2i2i-11−ii−ii1-1000000001-11-10000−iii−ii−ii3−i3i3−i3−33−33000000000000003−3−i3i3000000
χ572-2-2222-2-2-1−2i2i−2i2i2-2-22-11-1111-12-22-2−2i2i−2i2i−2i2i-11i−ii−i1-100000000-11-110000i−ii−ii−i−i3i3−i3i3−33−3300000000000000−33−i3i3000000
χ582-2-2222-2-2-1−2i2i−2i2i2-2-22-11-1111-12-22-2−2i2i−2i2i−2i2i-11i−ii−i1-100000000-11-110000i−ii−ii−ii3−i3i3−i33−33−3000000000000003−3i3−i3000000
χ592-2-2222-2-2-1−2i2i−2i2i2-2-22-11-1111-1-22-22−2i2i2i−2i2i−2i-11i−ii−i1-1000000001-11-10000i−i−ii−ii−i3i3−i3i3−33−33000000000000003−3i3−i3000000
χ602-2-2222-2-2-1−2i2i−2i2i2-2-22-11-1111-1-22-22−2i2i2i−2i2i−2i-11i−ii−i1-1000000001-11-10000i−i−ii−iii3−i3i3−i33−33−300000000000000−33−i3i3000000
χ612-2-2-22-2222000022-2-2-22-2-22-220000002i−2i−2i2i220000-2-200002-22-200000000002i−2i−2i2i00000000002i−2i−2i2i00002-2000000000000
χ622-2-2-22-2222000022-2-2-22-2-22-220000002i−2i−2i2i220000-2-20000-22-2200000000002i−2i−2i2i0000000000−2i2i2i−2i0000-22000000000000
χ632-2-2-22-2222000022-2-2-22-2-22-22000000−2i2i2i−2i220000-2-200002-22-20000000000−2i2i2i−2i0000000000−2i2i2i−2i00002-2000000000000
χ642-2-2-22-2222000022-2-2-22-2-22-22000000−2i2i2i−2i220000-2-20000-22-220000000000−2i2i2i−2i00000000002i−2i−2i2i0000-22000000000000
χ652-2-2-22-22220000-2-222-22-2-22-222-2-22000000-2-200002200002-22-22-2-22000000000000000000000000-222-2-22000000000000
χ662-2-2-22-22220000-2-222-22-2-22-222-2-22000000-2-20000220000-22-222-2-220000000000000000000000002-2-222-2000000000000
χ672-2-2-22-22220000-2-222-22-2-22-22-222-2000000-2-200002200002-22-2-222-20000000000000000000000002-2-22-22000000000000
χ682-2-2-22-22220000-2-222-22-2-22-22-222-2000000-2-20000220000-22-22-222-2000000000000000000000000-222-22-2000000000000
χ6944444444-24444-4-4-4-4-2-2-2-2-2-2-20000-4-4000022-2-2-2-222000000000000000022000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-20000440000222222220000000000000000-2-2000000000000000000000000000000000000
χ71444-44-4-4-4-200004-44-4222-22-2-200000044-4-4-220000-22000000000000000000-2-22200000000000000000000000000000000
χ72444-44-4-4-4-200004-44-4222-22-2-2000000-4-444-220000-2200000000000000000022-2-200000000000000000000000000000000
χ73444-44-4-4-4-20000-44-44222-22-2-244-4-40000002-200002-200000000-2-222000000000000000000000000000000000000000000
χ74444-44-4-4-4-20000-44-44222-22-2-2-4-4440000002-200002-20000000022-2-2000000000000000000000000000000000000000000
χ7544-44-4-44-4400000000-4444-4-4-400000000000000000000004-4-440000000000000000000000000000000000000000000000
χ7644-44-4-44-4400000000-4444-4-4-40000000000000000000000-444-40000000000000000000000000000000000000000000000
χ7744-4-4-44-4444i−4i−4i4i00004-4-444-4-40000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ7844-4-4-44-444−4i4i4i−4i00004-4-444-4-4000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ7944-4-4-44-44-24i−4i−4i4i0000-222-2-222000000000000−2i2i2i−2i0000000000000000000000006−6−66i6−i6−i6i6000000000000000000000000
χ8044-4-4-44-44-24i−4i−4i4i0000-222-2-222000000000000−2i2i2i−2i000000000000000000000000−666−6−i6i6i6−i6000000000000000000000000
χ8144-4-4-44-44-2−4i4i4i−4i0000-222-2-2220000000000002i−2i−2i2i0000000000000000000000006−6−66−i6i6i6−i6000000000000000000000000
χ8244-4-4-44-44-2−4i4i4i−4i0000-222-2-2220000000000002i−2i−2i2i000000000000000000000000−666−6i6−i6−i6i6000000000000000000000000
χ834-444-4-4-44400000000-4-44-444-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ844-444-4-4-44400000000-4-44-444-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ854-44-4-444-4-244-4-40000-2-2222-22000000000000-2-22200000000000000−2i22i2−2i22i2000000i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ864-44-4-444-4-244-4-40000-2-2222-22000000000000-2-222000000000000002i2−2i22i2−2i2000000−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ874-44-4-444-4-2-4-4440000-2-2222-2200000000000022-2-200000000000000−2i22i22i2−2i2000000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ884-44-4-444-4-2-4-4440000-2-2222-2200000000000022-2-2000000000000002i2−2i2−2i22i2000000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ894-4-4444-4-4-24i−4i4i−4i-444-4-22-2222-20000−4i4i00002-2−2i2i−2i2i-2200000000000000002i−2i000000000000000000000000000000000000
χ904-4-4444-4-4-2−4i4i−4i4i-444-4-22-2222-200004i−4i00002-22i−2i2i−2i-220000000000000000−2i2i000000000000000000000000000000000000
χ914-4-4-44-444-2000044-4-42-222-22-20000004i−4i−4i4i-2-2000022000000000000000000−2i2i2i−2i00000000000000000000000000000000
χ924-4-4-44-444-2000044-4-42-222-22-2000000−4i4i4i−4i-2-20000220000000000000000002i−2i−2i2i00000000000000000000000000000000
χ934-4-4-44-444-20000-4-4442-222-22-24-4-44000000220000-2-200000000-222-2000000000000000000000000000000000000000000
χ944-4-4-44-444-20000-4-4442-222-22-2-444-4000000220000-2-2000000002-2-22000000000000000000000000000000000000000000
χ9588-88-8-88-8-4000000004-4-4-4444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-888-8-8-88-40000000044-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000

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