Finite Group Databasebeta

← Group #10945136

Character table — Group #10945136

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666444444444412121212121212124444444488881212121212121212121224242424242424242222444444444412121212888824
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
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111111111-1-1
χ911111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-1-1-11
χ1011111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1-1111-1
χ1111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1111-1
χ1211111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-11111-1-1-11
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-11-1-11111-1-11-1
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-111-1-1-1-111-11
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-11
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111-111-1-111-1-11-1
χ17222222222-2-22222-2-22222222-2-2000000002222-2-2-2-2222222220000-2-200000000000000000000-2-20000-2-2000000000000
χ18222222222-2-22222-2-22222222-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000000000000000000022000022000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-200002200000000000000000000-2-2000022000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2222200002200000000000000000000220000-2-2000000000000
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
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-10000000022-2-211-1-1-1-11111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-21111-1-1-1-100000000-2-22211-1-1-1-111111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-1-1-10000000022-2-2111111-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-222221111-1-1-1-100000000-2-222111111-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ29222-2-22-2-222-200002-2-2-222-22-20000002i2i−2i−2i00002-22-22i2i−2i−2i000000000000002i2i−2i−2i0000000000002i−2i22-2-200000000000000
χ30222-2-22-2-222-200002-2-2-222-22-20000002i2i−2i−2i00002-22-2−2i−2i2i2i000000000000002i2i−2i−2i000000000000−2i2i-2-22200000000000000
χ31222-2-22-2-222-200002-2-2-222-22-2000000−2i−2i2i2i00002-22-22i2i−2i−2i00000000000000−2i−2i2i2i0000000000002i−2i-2-22200000000000000
χ32222-2-22-2-222-200002-2-2-222-22-2000000−2i−2i2i2i00002-22-2−2i−2i2i2i00000000000000−2i−2i2i2i000000000000−2i2i22-2-200000000000000
χ33222-2-22-2-22-220000-22-2-222-22-2002i2i−2i−2i00000000-22-222i2i−2i−2i00000000002i2i−2i−2i00000000000022-2-2−2i2i000000000000000000
χ34222-2-22-2-22-220000-22-2-222-22-2002i2i−2i−2i00000000-22-22−2i−2i2i2i00000000002i2i−2i−2i000000000000-2-2222i−2i000000000000000000
χ35222-2-22-2-22-220000-22-2-222-22-200−2i−2i2i2i00000000-22-222i2i−2i−2i0000000000−2i−2i2i2i000000000000-2-222−2i2i000000000000000000
χ36222-2-22-2-22-220000-22-2-222-22-200−2i−2i2i2i00000000-22-22−2i−2i2i2i0000000000−2i−2i2i2i00000000000022-2-22i−2i000000000000000000
χ372-2222-2-2-222-22i2i−2i−2i-222-2-2-222-22i−2i000000002i2i−2i−2i2-2-220000000000002i−2i00000000000000002-22-2002i−2i2i−2i00000000000000
χ382-2222-2-2-222-22i2i−2i−2i-222-2-2-222-22i−2i000000002i2i−2i−2i2-2-220000000000002i−2i0000000000000000-22-2200−2i2i−2i2i00000000000000
χ392-2222-2-2-222-2−2i−2i2i2i-222-2-2-222-2−2i2i00000000−2i−2i2i2i2-2-22000000000000−2i2i00000000000000002-22-200−2i2i−2i2i00000000000000
χ402-2222-2-2-222-2−2i−2i2i2i-222-2-2-222-2−2i2i00000000−2i−2i2i2i2-2-22000000000000−2i2i0000000000000000-22-22002i−2i2i−2i00000000000000
χ412-2222-2-2-22-222i2i−2i−2i2-22-2-2-222-2−2i2i2-22-22i−2i2i−2i2i2i−2i−2i-222-2000000000000−2i2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ422-2222-2-2-22-222i2i−2i−2i2-22-2-2-222-2−2i2i-22-22−2i2i−2i2i2i2i−2i−2i-222-2000000000000−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ432-2222-2-2-22-22−2i−2i2i2i2-22-2-2-222-22i−2i2-22-2−2i2i−2i2i−2i−2i2i2i-222-20000000000002i−2i2-22-2−2i2i−2i2i00000000000000000000000000000000
χ442-2222-2-2-22-22−2i−2i2i2i2-22-2-2-222-22i−2i-22-222i−2i2i−2i−2i−2i2i2i-222-20000000000002i−2i-22-222i−2i2i−2i00000000000000000000000000000000
χ452-2222-2-2-2-1-222i2i−2i−2i2-2-1111-1-11−2i2i2-22-22i−2i2i−2i−i−iii1-1-11000000000000i−i-11-11−ii−ii−i3−i3i3i333−3−300000000000000−i3i33−3000000
χ462-2222-2-2-2-1-222i2i−2i−2i2-2-1111-1-11−2i2i2-22-22i−2i2i−2i−i−iii1-1-11000000000000i−i-11-11−ii−iii3i3−i3−i3−3−33300000000000000i3−i3−33000000
χ472-2222-2-2-2-1-222i2i−2i−2i2-2-1111-1-11−2i2i-22-22−2i2i−2i2i−i−iii1-1-11000000000000i−i1-11-1i−ii−i−i3−i3i3i333−3−300000000000000i3−i3−33000000
χ482-2222-2-2-2-1-222i2i−2i−2i2-2-1111-1-11−2i2i-22-22−2i2i−2i2i−i−iii1-1-11000000000000i−i1-11-1i−ii−ii3i3−i3−i3−3−33300000000000000−i3i33−3000000
χ492-2222-2-2-2-1-22−2i−2i2i2i2-2-1111-1-112i−2i2-22-2−2i2i−2i2iii−i−i1-1-11000000000000−ii-11-11i−ii−i−i3−i3i3i3−3−33300000000000000−i3i3−33000000
χ502-2222-2-2-2-1-22−2i−2i2i2i2-2-1111-1-112i−2i2-22-2−2i2i−2i2iii−i−i1-1-11000000000000−ii-11-11i−ii−ii3i3−i3−i333−3−300000000000000i3−i33−3000000
χ512-2222-2-2-2-1-22−2i−2i2i2i2-2-1111-1-112i−2i-22-222i−2i2i−2iii−i−i1-1-11000000000000−ii1-11-1−ii−ii−i3−i3i3i3−3−33300000000000000i3−i33−3000000
χ522-2222-2-2-2-1-22−2i−2i2i2i2-2-1111-1-112i−2i-22-222i−2i2i−2iii−i−i1-1-11000000000000−ii1-11-1−ii−iii3i3−i3−i333−3−300000000000000−i3i3−33000000
χ532-22-2-2-2222220000-2-2-22-2-2-222002i−2i−2i2i0000000022-2-2000022-2-20000002i−2i−2i2i0000000000000000002i−2i−2i2i2-2000000000000
χ542-22-2-2-2222220000-2-2-22-2-2-222002i−2i−2i2i0000000022-2-20000-2-2220000002i−2i−2i2i000000000000000000−2i2i2i−2i-22000000000000
χ552-22-2-2-2222220000-2-2-22-2-2-22200−2i2i2i−2i0000000022-2-2000022-2-2000000−2i2i2i−2i000000000000000000−2i2i2i−2i2-2000000000000
χ562-22-2-2-2222220000-2-2-22-2-2-22200−2i2i2i−2i0000000022-2-20000-2-222000000−2i2i2i−2i0000000000000000002i−2i−2i2i-22000000000000
χ572-22-2-2-2222-2-2000022-22-2-2-2220000002-2-220000-2-222000022-2-200000000002-2-2200000000-222-2000000-22000000000000
χ582-22-2-2-2222-2-2000022-22-2-2-2220000002-2-220000-2-2220000-2-22200000000002-2-22000000002-2-220000002-2000000000000
χ592-22-2-2-2222-2-2000022-22-2-2-222000000-222-20000-2-222000022-2-20000000000-222-2000000002-2-22000000-22000000000000
χ602-22-2-2-2222-2-2000022-22-2-2-222000000-222-20000-2-2220000-2-2220000000000-222-200000000-222-20000002-2000000000000
χ612-2-22-22-222002-22-200222-2-2-2-200000000002-22-200002i−2i2i−2i2i−2i2i−2i2−22−200000000002−22−22−22−2000000000000000000−i2i2−i2i200
χ622-2-22-22-222002-22-200222-2-2-2-200000000002-22-200002i−2i2i−2i2i−2i2i−2i−22−220000000000−22−22−22−22000000000000000000i2−i2i2−i200
χ632-2-22-22-222002-22-200222-2-2-2-200000000002-22-20000−2i2i−2i2i−2i2i−2i2i2−22−200000000002−22−22−22−2000000000000000000i2−i2i2−i200
χ642-2-22-22-222002-22-200222-2-2-2-200000000002-22-20000−2i2i−2i2i−2i2i−2i2i−22−220000000000−22−22−22−22000000000000000000−i2i2−i2i200
χ652-2-22-22-22200-22-2200222-2-2-2-20000000000-22-2200002i−2i2i−2i−2i2i−2i2i2−2−2200000000002−22−2−22−22000000000000000000−i2i2i2−i200
χ662-2-22-22-22200-22-2200222-2-2-2-20000000000-22-2200002i−2i2i−2i−2i2i−2i2i−222−20000000000−22−222−22−2000000000000000000i2−i2−i2i200
χ672-2-22-22-22200-22-2200222-2-2-2-20000000000-22-220000−2i2i−2i2i2i−2i2i−2i2−2−2200000000002−22−2−22−22000000000000000000i2−i2−i2i200
χ682-2-22-22-22200-22-2200222-2-2-2-20000000000-22-220000−2i2i−2i2i2i−2i2i−2i−222−20000000000−22−222−22−2000000000000000000−i2i2i2−i200
χ6944444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-400000000-2-2-2-22222000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2440000000022222222000000000000-2-20000000000000000000000000000000000000000
χ71444-4-44-4-4-24-400004-422-2-22-220000004i4i−4i−4i0000-22-22000000000000000000−2i−2i2i2i00000000000000000000000000000000
χ72444-4-44-4-4-24-400004-422-2-22-22000000−4i−4i4i4i0000-22-220000000000000000002i2i−2i−2i00000000000000000000000000000000
χ73444-4-44-4-4-2-440000-4422-2-22-22004i4i−4i−4i000000002-22-200000000000000−2i−2i2i2i000000000000000000000000000000000000
χ74444-4-44-4-4-2-440000-4422-2-22-2200−4i−4i4i4i000000002-22-2000000000000002i2i−2i−2i000000000000000000000000000000000000
χ7544-44-4-44-44004i−4i−4i4i004-4-44-4-4400000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ7644-44-4-44-4400−4i4i4i−4i004-4-44-4-440000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ7744-44-4-44-4-2004i−4i−4i4i00-222-222-20000000000−2i2i2i−2i00000000000000000000000000i6−i6−i6i6−666−6000000000000000000000000
χ7844-44-4-44-4-2004i−4i−4i4i00-222-222-20000000000−2i2i2i−2i00000000000000000000000000−i6i6i6−i66−6−66000000000000000000000000
χ7944-44-4-44-4-200−4i4i4i−4i00-222-222-200000000002i−2i−2i2i00000000000000000000000000i6−i6−i6i66−6−66000000000000000000000000
χ8044-44-4-44-4-200−4i4i4i−4i00-222-222-200000000002i−2i−2i2i00000000000000000000000000−i6i6i6−i6−666−6000000000000000000000000
χ8144-4-44-4-44400000000-44-444-4-400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ8244-4-44-4-44400000000-44-444-4-40000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ834-4444-4-4-4-24-44i4i−4i−4i-44-2222-2-224i−4i00000000−2i−2i2i2i-222-2000000000000−2i2i0000000000000000000000000000000000000000
χ844-4444-4-4-4-24-4−4i−4i4i4i-44-2222-2-22−4i4i000000002i2i−2i−2i-222-20000000000002i−2i0000000000000000000000000000000000000000
χ854-44-4-4-444-2440000-4-42-2222-2-2004i−4i−4i4i00000000-2-22200000000000000−2i2i2i−2i000000000000000000000000000000000000
χ864-44-4-4-444-2440000-4-42-2222-2-200−4i4i4i−4i00000000-2-222000000000000002i−2i−2i2i000000000000000000000000000000000000
χ874-44-4-4-444-2-4-40000442-2222-2-20000004-4-44000022-2-2000000000000000000-222-200000000000000000000000000000000
χ884-44-4-4-444-2-4-40000442-2222-2-2000000-444-4000022-2-20000000000000000002-2-2200000000000000000000000000000000
χ894-4-44-44-44-2004-44-400-2-2-222220000000000-22-2200000000000022−2222−220000000000−22−22−22−22000000000000000000000000
χ904-4-44-44-44-2004-44-400-2-2-222220000000000-22-22000000000000−2222−222200000000002−22−22−22−2000000000000000000000000
χ914-4-44-44-44-200-44-4400-2-2-2222200000000002-22-200000000000022−22−22220000000000−22−222−22−2000000000000000000000000
χ924-4-44-44-44-200-44-4400-2-2-2222200000000002-22-2000000000000−222222−2200000000002−22−2−22−22000000000000000000000000
χ934-4-4-4444-4400000000-4-44-44-440000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ944-4-4-4444-4400000000-4-44-44-44000000000000000000-444-400000000000000000000000000000000000000000000000000
χ9588-8-88-8-88-4000000004-44-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8-8888-8-40000000044-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000

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