Finite Group Databasebeta

← Group #10943996

Character table — Group #10943996

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666222244444412121212121212124444444466668888121212121212242424242424242422444444444424661212888824
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
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ9111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1-11
χ10111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-111-1-1111-1
χ11111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-1111-1
χ12111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-11111-1-1-11
χ13111111111-1-1-1-111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ14111111111-1-1-1-111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-111-11
χ15111111111-1-1-1-111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-111-11
χ16111111111-1-1-1-111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-11-111-1-111-1-11-1
χ172222222222222-2-2-2-2222222200000000-2-2-2-22222-2-22222222200000000-2-2000000000000-2-2-2-200000000000000000000
χ182222222222222-2-2-2-2222222200000000-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000-2-2000000000000222200000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222220000000022-2-2-2-2-2-2-2-22222-2-2-2-20000000022000000000000-2-22200000000000000000000
χ20222222222-2-2-2-2-2-2-2-222222220000000022-2-2-2-2-2-2-2-2-2-2-2-22222000000002200000000000022-2-200000000000000000000
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
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-10000000011112222-1-11111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1000000001111-2-2-2-2-1-111111111111100000000000022-1-1-1-1000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-11111-1-100000000-1-1-1-122-2-2111111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-11111-1-100000000-1-1-1-1-2-2221111111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-22222-2-2-1-11111-1-100000000111122-2-211-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-22222-2-2-1-11111-1-1000000001111-2-22211-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ29222-2-2-22-222i2i−2i−2i000022-22-2-2-20000000000002i2i−2i−2i002i2i−2i−2i22-2-200002−2−i2i200000022−2−2−i2−i2i2i2000000000000000000−i2i22−200
χ30222-2-2-22-222i2i−2i−2i000022-22-2-2-20000000000002i2i−2i−2i002i2i−2i−2i22-2-20000−22i2−i2000000−2−222i2i2−i2−i2000000000000000000i2−i2−2200
χ31222-2-2-22-222i2i−2i−2i000022-22-2-2-20000000000002i2i−2i−2i00−2i−2i2i2i-2-22200002−2−i2i200000022−2−2−i2−i2i2i2000000000000000000i2−i2−2200
χ32222-2-2-22-222i2i−2i−2i000022-22-2-2-20000000000002i2i−2i−2i00−2i−2i2i2i-2-2220000−22i2−i2000000−2−222i2i2−i2−i2000000000000000000−i2i22−200
χ33222-2-2-22-22−2i−2i2i2i000022-22-2-2-2000000000000−2i−2i2i2i002i2i−2i−2i-2-22200002−2i2−i200000022−2−2i2i2−i2−i2000000000000000000−i2i2−2200
χ34222-2-2-22-22−2i−2i2i2i000022-22-2-2-2000000000000−2i−2i2i2i002i2i−2i−2i-2-2220000−22−i2i2000000−2−222−i2−i2i2i2000000000000000000i2−i22−200
χ35222-2-2-22-22−2i−2i2i2i000022-22-2-2-2000000000000−2i−2i2i2i00−2i−2i2i2i22-2-200002−2i2−i200000022−2−2i2i2−i2−i2000000000000000000i2−i22−200
χ36222-2-2-22-22−2i−2i2i2i000022-22-2-2-2000000000000−2i−2i2i2i00−2i−2i2i2i22-2-20000−22−i2i2000000−2−222−i2−i2i2i2000000000000000000−i2i2−2200
χ3722-22-2-2-2222i−2i2i−2i2-22-22-22-22-2-2000000002i−2i2-22i−2i2i−2i2-200000000000000002i−2i000000000000000022-2-22i2i−2i−2i000000000000
χ3822-22-2-2-2222i−2i2i−2i2-22-22-22-22-2-2000000002i−2i2-22i−2i2i−2i2-200000000000000002i−2i0000000000000000-2-222−2i−2i2i2i000000000000
χ3922-22-2-2-2222i−2i2i−2i-22-222-22-22-2-222-2-22i2i−2i−2i−2i2i-222i−2i2i−2i-220000000022-2-20000−2i2i2i2i−2i−2i00000000000000000000000000000000
χ4022-22-2-2-2222i−2i2i−2i-22-222-22-22-2-2-2-222−2i−2i2i2i−2i2i-222i−2i2i−2i-2200000000-2-2220000−2i2i−2i−2i2i2i00000000000000000000000000000000
χ4122-22-2-2-222−2i2i−2i2i2-22-22-22-22-2-200000000−2i2i2-2−2i2i−2i2i2-20000000000000000−2i2i000000000000000022-2-2−2i−2i2i2i000000000000
χ4222-22-2-2-222−2i2i−2i2i2-22-22-22-22-2-200000000−2i2i2-2−2i2i−2i2i2-20000000000000000−2i2i0000000000000000-2-2222i2i−2i−2i000000000000
χ4322-22-2-2-222−2i2i−2i2i-22-222-22-22-2-222-2-2−2i−2i2i2i2i−2i-22−2i2i−2i2i-220000000022-2-200002i−2i−2i−2i2i2i00000000000000000000000000000000
χ4422-22-2-2-222−2i2i−2i2i-22-222-22-22-2-2-2-2222i2i−2i−2i2i−2i-22−2i2i−2i2i-2200000000-2-22200002i−2i2i2i−2i−2i00000000000000000000000000000000
χ4522-22-2-2-22-12i−2i2i−2i-22-22-11-11-11122-2-22i2i−2i−2i−2i2i1-1−ii−ii1-100000000-1-1110000i−i−i−iii−i3i3−i3i33−33−300000000000000−i3i33−3000000
χ4622-22-2-2-22-12i−2i2i−2i-22-22-11-11-11122-2-22i2i−2i−2i−2i2i1-1−ii−ii1-100000000-1-1110000i−i−i−iiii3−i3i3−i3−33−3300000000000000i3−i3−33000000
χ4722-22-2-2-22-12i−2i2i−2i-22-22-11-11-111-2-222−2i−2i2i2i−2i2i1-1−ii−ii1-10000000011-1-10000i−iii−i−i−i3i3−i3i33−33−300000000000000i3−i3−33000000
χ4822-22-2-2-22-12i−2i2i−2i-22-22-11-11-111-2-222−2i−2i2i2i−2i2i1-1−ii−ii1-10000000011-1-10000i−iii−i−ii3−i3i3−i3−33−3300000000000000−i3i33−3000000
χ4922-22-2-2-22-1−2i2i−2i2i-22-22-11-11-11122-2-2−2i−2i2i2i2i−2i1-1i−ii−i1-100000000-1-1110000−iiii−i−i−i3i3−i3i3−33−3300000000000000−i3i3−33000000
χ5022-22-2-2-22-1−2i2i−2i2i-22-22-11-11-11122-2-2−2i−2i2i2i2i−2i1-1i−ii−i1-100000000-1-1110000−iiii−i−ii3−i3i3−i33−33−300000000000000i3−i33−3000000
χ5122-22-2-2-22-1−2i2i−2i2i-22-22-11-11-111-2-2222i2i−2i−2i2i−2i1-1i−ii−i1-10000000011-1-10000−ii−i−iii−i3i3−i3i3−33−3300000000000000i3−i33−3000000
χ5222-22-2-2-22-1−2i2i−2i2i-22-22-11-11-111-2-2222i2i−2i−2i2i−2i1-1i−ii−i1-10000000011-1-10000−ii−i−iiii3−i3i3−i33−33−300000000000000−i3i3−33000000
χ532-22-2-22-222000022-2-2-22-2-222-200002i−2i2i−2i00220000-2-22-22-2000000000000002i−2i2i−2i000000002-20000002i−2i2i−2i000000000000
χ542-22-2-22-222000022-2-2-22-2-222-200002i−2i2i−2i00220000-2-2-22-22000000000000002i−2i2i−2i00000000-22000000−2i2i−2i2i000000000000
χ552-22-2-22-222000022-2-2-22-2-222-20000−2i2i−2i2i00220000-2-22-22-200000000000000−2i2i−2i2i000000002-2000000−2i2i−2i2i000000000000
χ562-22-2-22-222000022-2-2-22-2-222-20000−2i2i−2i2i00220000-2-2-22-2200000000000000−2i2i−2i2i00000000-220000002i−2i2i−2i000000000000
χ572-22-2-22-2220000-2-222-22-2-222-22-22-2000000-2-20000222-22-200002-22-2000000000000000000-22002-22-20000000000000000
χ582-22-2-22-2220000-2-222-22-2-222-22-22-2000000-2-2000022-22-2200002-22-20000000000000000002-200-22-220000000000000000
χ592-22-2-22-2220000-2-222-22-2-222-2-22-22000000-2-20000222-22-20000-22-22000000000000000000-2200-22-220000000000000000
χ602-22-2-22-2220000-2-222-22-2-222-2-22-22000000-2-2000022-22-220000-22-220000000000000000002-2002-22-20000000000000000
χ612-2-2-22-222200002-2-22-2-2-222-222-2-220000002-20000-2200002-22-22-2-22000000000000000000002-200002-2-22000000000000
χ622-2-2-22-222200002-2-22-2-2-222-222-2-220000002-20000-220000-22-222-2-2200000000000000000000-220000-222-2000000000000
χ632-2-2-22-222200002-2-22-2-2-222-22-222-20000002-20000-2200002-22-2-222-2000000000000000000002-20000-222-2000000000000
χ642-2-2-22-222200002-2-22-2-2-222-22-222-20000002-20000-220000-22-22-222-200000000000000000000-2200002-2-22000000000000
χ652-2-2-22-22220000-222-2-2-2-222-2200002-2-2200-2200002-200002-22-200000000002-2-220000000000-222-2-220000000000000000
χ662-2-2-22-22220000-222-2-2-2-222-2200002-2-2200-2200002-20000-22-2200000000002-2-2200000000002-2-222-20000000000000000
χ672-2-2-22-22220000-222-2-2-2-222-220000-222-200-2200002-200002-22-20000000000-222-20000000000-22-222-20000000000000000
χ682-2-2-22-22220000-222-2-2-2-222-220000-222-200-2200002-20000-22-220000000000-222-200000000002-22-2-220000000000000000
χ6944444444-24444-4-4-4-4-2-2-2-2-2-2-200000000-4-422-2-2-2-222000000000000000022000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-20000000044222222220000000000000000-2-2000000000000000000000000000000000000
χ71444-4-4-44-4-24i4i−4i−4i0000-2-22-2222000000000000−2i−2i2i2i0000000000000022−22−2i22i2000000−2−222i2i2−i2−i2000000000000000000000000
χ72444-4-4-44-4-24i4i−4i−4i0000-2-22-2222000000000000−2i−2i2i2i00000000000000−22222i2−2i200000022−2−2−i2−i2i2i2000000000000000000000000
χ73444-4-4-44-4-2−4i−4i4i4i0000-2-22-22220000000000002i2i−2i−2i0000000000000022−222i2−2i2000000−2−222−i2−i2i2i2000000000000000000000000
χ74444-4-4-44-4-2−4i−4i4i4i0000-2-22-22220000000000002i2i−2i−2i00000000000000−2222−2i22i200000022−2−2i2i2−i2−i2000000000000000000000000
χ7544-44-4-4-44-24i−4i4i−4i4-44-4-22-22-222000000004i−4i-22−2i2i−2i2i-220000000000000000−2i2i000000000000000000000000000000000000
χ7644-44-4-4-44-2−4i4i−4i4i4-44-4-22-22-22200000000−4i4i-222i−2i2i−2i-2200000000000000002i−2i000000000000000000000000000000000000
χ7744-4-444-4-444-4-4400004-4-4-4-4440000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ7844-4-444-4-44-444-400004-4-4-4-444000000000000-444-400000000000000000000000000000000000000000000000000000000
χ7944-4-444-4-4-24-4-440000-22222-2-2000000000000-222-2000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ8044-4-444-4-4-24-4-440000-22222-2-2000000000000-222-2000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ8144-4-444-4-4-2-444-40000-22222-2-20000000000002-2-22000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ8244-4-444-4-4-2-444-40000-22222-2-20000000000002-2-22000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ834-4444-4-4-4400000000-444-4-4-440000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ844-4444-4-4-4400000000-444-4-4-44000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ854-44-4-44-44-2000044-4-42-222-2-2200004i−4i4i−4i00-2-2000022000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ864-44-4-44-44-2000044-4-42-222-2-220000−4i4i−4i4i00-2-20000220000000000000000002i−2i2i−2i00000000000000000000000000000000
χ874-44-4-44-44-20000-4-4442-222-2-224-44-4000000220000-2-200000000-22-22000000000000000000000000000000000000000000
χ884-44-4-44-44-20000-4-4442-222-2-22-44-44000000220000-2-2000000002-22-2000000000000000000000000000000000000000000
χ894-4-44-444-4400000000-4-444-44-400000000000000000000004-4-440000000000000000000000000000000000000000000000
χ904-4-44-444-4400000000-4-444-44-40000000000000000000000-444-40000000000000000000000000000000000000000000000
χ914-4-4-44-444-200004-4-44222-2-22-24-4-44000000-2200002-200000000-222-2000000000000000000000000000000000000000000
χ924-4-4-44-444-200004-4-44222-2-22-2-444-4000000-2200002-2000000002-2-22000000000000000000000000000000000000000000
χ934-4-4-44-444-20000-444-4222-2-22-200004-4-44002-20000-22000000000000000000-222-200000000000000000000000000000000
χ944-4-4-44-444-20000-444-4222-2-22-20000-444-4002-20000-220000000000000000002-2-2200000000000000000000000000000000
χ958-8888-8-8-8-4000000004-4-4444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-888-8-40000000044-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000

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