Finite Group Databasebeta

← Group #10943998

Character table — Group #10943998

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order1222222234444444466666664444444444121212121212121244444444888812121212121212121212242424242424242422222244444424661212888824
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
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1
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
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-111-11
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-111-11
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11-111-1-111-1-11-1
χ17222222222-2-22222-2-22222222-2-2000000002222-2-2-2-2222222220000-2-20000000000000000-2-20000-2-20000000000000000
χ18222222222-2-22222-2-22222222-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000000000000000220000220000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222-2-2-2-20000220000000000000000-2-20000220000000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-222220000220000000000000000220000-2-20000000000000000
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
χ29222-22-2-2-22002i2i−2i−2i0022-2-2-22-200000000002i2i−2i−2i00002i2i−2i−2i22-2-2−i2i22−20000000000−i2−i2i2i222−2−20000000000000000002−2−i2i200
χ30222-22-2-2-22002i2i−2i−2i0022-2-2-22-200000000002i2i−2i−2i00002i2i−2i−2i22-2-2i2−i2−220000000000i2i2−i2−i2−2−222000000000000000000−22i2−i200
χ31222-22-2-2-22002i2i−2i−2i0022-2-2-22-200000000002i2i−2i−2i0000−2i−2i2i2i-2-222−i2i22−20000000000−i2−i2i2i222−2−2000000000000000000−22i2−i200
χ32222-22-2-2-22002i2i−2i−2i0022-2-2-22-200000000002i2i−2i−2i0000−2i−2i2i2i-2-222i2−i2−220000000000i2i2−i2−i2−2−2220000000000000000002−2−i2i200
χ33222-22-2-2-2200−2i−2i2i2i0022-2-2-22-20000000000−2i−2i2i2i00002i2i−2i−2i-2-222−i2i2−220000000000−i2−i2i2i2−2−2220000000000000000002−2i2−i200
χ34222-22-2-2-2200−2i−2i2i2i0022-2-2-22-20000000000−2i−2i2i2i00002i2i−2i−2i-2-222i2−i22−20000000000i2i2−i2−i222−2−2000000000000000000−22−i2i200
χ35222-22-2-2-2200−2i−2i2i2i0022-2-2-22-20000000000−2i−2i2i2i0000−2i−2i2i2i22-2-2−i2i2−220000000000−i2−i2i2i2−2−222000000000000000000−22−i2i200
χ36222-22-2-2-2200−2i−2i2i2i0022-2-2-22-20000000000−2i−2i2i2i0000−2i−2i2i2i22-2-2i2−i22−20000000000i2i2−i2−i222−2−20000000000000000002−2i2−i200
χ3722-22-22-2-222-22i−2i2i−2i2-22-22-2-2-222i−2i000000002i−2i2i−2i2-22-20000000000002i−2i00000000000000000022-2-2002i2i−2i−2i000000000000
χ3822-22-22-2-222-22i−2i2i−2i2-22-22-2-2-222i−2i000000002i−2i2i−2i2-22-20000000000002i−2i000000000000000000-2-22200−2i−2i2i2i000000000000
χ3922-22-22-2-222-2−2i2i−2i2i2-22-22-2-2-22−2i2i00000000−2i2i−2i2i2-22-2000000000000−2i2i00000000000000000022-2-200−2i−2i2i2i000000000000
χ4022-22-22-2-222-2−2i2i−2i2i2-22-22-2-2-22−2i2i00000000−2i2i−2i2i2-22-2000000000000−2i2i000000000000000000-2-222002i2i−2i−2i000000000000
χ4122-22-22-2-22-222i−2i2i−2i-222-22-2-2-22−2i2i22-2-22i2i−2i−2i2i−2i2i−2i-22-22000000000000−2i2i22-2-22i2i−2i−2i00000000000000000000000000000000
χ4222-22-22-2-22-222i−2i2i−2i-222-22-2-2-22−2i2i-2-222−2i−2i2i2i2i−2i2i−2i-22-22000000000000−2i2i-2-222−2i−2i2i2i00000000000000000000000000000000
χ4322-22-22-2-22-22−2i2i−2i2i-222-22-2-2-222i−2i22-2-2−2i−2i2i2i−2i2i−2i2i-22-220000000000002i−2i22-2-2−2i−2i2i2i00000000000000000000000000000000
χ4422-22-22-2-22-22−2i2i−2i2i-222-22-2-2-222i−2i-2-2222i2i−2i−2i−2i2i−2i2i-22-220000000000002i−2i-2-2222i2i−2i−2i00000000000000000000000000000000
χ4522-22-22-2-2-1-222i−2i2i−2i-22-11-1111-1−2i2i22-2-22i2i−2i−2i−ii−ii1-11-1000000000000i−i-1-111−i−iii−i3i3−i3i33−33−300000000000000−i3i33−3000000
χ4622-22-22-2-2-1-222i−2i2i−2i-22-11-1111-1−2i2i22-2-22i2i−2i−2i−ii−ii1-11-1000000000000i−i-1-111−i−iiii3−i3i3−i3−33−3300000000000000i3−i3−33000000
χ4722-22-22-2-2-1-222i−2i2i−2i-22-11-1111-1−2i2i-2-222−2i−2i2i2i−ii−ii1-11-1000000000000i−i11-1-1ii−i−i−i3i3−i3i33−33−300000000000000i3−i3−33000000
χ4822-22-22-2-2-1-222i−2i2i−2i-22-11-1111-1−2i2i-2-222−2i−2i2i2i−ii−ii1-11-1000000000000i−i11-1-1ii−i−ii3−i3i3−i3−33−3300000000000000−i3i33−3000000
χ4922-22-22-2-2-1-22−2i2i−2i2i-22-11-1111-12i−2i22-2-2−2i−2i2i2ii−ii−i1-11-1000000000000−ii-1-111ii−i−i−i3i3−i3i3−33−3300000000000000−i3i3−33000000
χ5022-22-22-2-2-1-22−2i2i−2i2i-22-11-1111-12i−2i22-2-2−2i−2i2i2ii−ii−i1-11-1000000000000−ii-1-111ii−i−ii3−i3i3−i33−33−300000000000000i3−i33−3000000
χ5122-22-22-2-2-1-22−2i2i−2i2i-22-11-1111-12i−2i-2-2222i2i−2i−2ii−ii−i1-11-1000000000000−ii11-1-1−i−iii−i3i3−i3i3−33−3300000000000000i3−i33−3000000
χ5222-22-22-2-2-1-22−2i2i−2i2i-22-11-1111-12i−2i-2-2222i2i−2i−2ii−ii−i1-11-1000000000000−ii11-1-1−i−iiii3−i3i3−i33−33−300000000000000−i3i3−33000000
χ532-22-2-222-22220000-2-2-22-2-22-220000002i−2i2i−2i000022-2-22-22-2000000000000002i−2i2i−2i000000002-20000002i−2i2i−2i000000000000
χ542-22-2-222-22220000-2-2-22-2-22-220000002i−2i2i−2i000022-2-2-22-22000000000000002i−2i2i−2i00000000-22000000−2i2i−2i2i000000000000
χ552-22-2-222-22220000-2-2-22-2-22-22000000−2i2i−2i2i000022-2-22-22-200000000000000−2i2i−2i2i000000002-2000000−2i2i−2i2i000000000000
χ562-22-2-222-22220000-2-2-22-2-22-22000000−2i2i−2i2i000022-2-2-22-2200000000000000−2i2i−2i2i00000000-220000002i−2i2i−2i000000000000
χ572-22-2-222-22-2-2000022-22-2-22-22002-22-200000000-2-2222-22-200000000002-22-2000000000000-222-22-2000000000000000000
χ582-22-2-222-22-2-2000022-22-2-22-22002-22-200000000-2-222-22-2200000000002-22-20000000000002-2-22-22000000000000000000
χ592-22-2-222-22-2-2000022-22-2-22-2200-22-2200000000-2-2222-22-20000000000-22-22000000000000-22-22-22000000000000000000
χ602-22-2-222-22-2-2000022-22-2-22-2200-22-2200000000-2-222-22-220000000000-22-220000000000002-22-22-2000000000000000000
χ612-2-2-222-2222-20000-22-2-2-22-222002-2-22000000002-2-2200002-22-20000002-2-220000000000000000002-22-2-22000000000000
χ622-2-2-222-2222-20000-22-2-2-22-222002-2-22000000002-2-220000-22-220000002-2-22000000000000000000-22-222-2000000000000
χ632-2-2-222-2222-20000-22-2-2-22-22200-222-2000000002-2-2200002-22-2000000-222-20000000000000000002-2-222-2000000000000
χ642-2-2-222-2222-20000-22-2-2-22-22200-222-2000000002-2-220000-22-22000000-222-2000000000000000000-222-2-22000000000000
χ652-2-2-222-222-2200002-2-2-2-22-2220000002-2-220000-222-200002-22-200000000002-2-2200000000002-2-22-220000000000000000
χ662-2-2-222-222-2200002-2-2-2-22-2220000002-2-220000-222-20000-22-2200000000002-2-220000000000-222-22-20000000000000000
χ672-2-2-222-222-2200002-2-2-2-22-222000000-222-20000-222-200002-22-20000000000-222-20000000000-222-2-220000000000000000
χ682-2-2-222-222-2200002-2-2-2-22-222000000-222-20000-222-20000-22-220000000000-222-200000000002-2-222-20000000000000000
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
χ71444-44-4-4-4-2004i4i−4i−4i00-2-2222-220000000000−2i−2i2i2i000000000000−2i22i222−220000000000i2i2−i2−i2−2−222000000000000000000000000
χ72444-44-4-4-4-2004i4i−4i−4i00-2-2222-220000000000−2i−2i2i2i0000000000002i2−2i2−22220000000000−i2−i2i2i222−2−2000000000000000000000000
χ73444-44-4-4-4-200−4i−4i4i4i00-2-2222-2200000000002i2i−2i−2i000000000000−2i22i2−22220000000000i2i2−i2−i222−2−2000000000000000000000000
χ74444-44-4-4-4-200−4i−4i4i4i00-2-2222-2200000000002i2i−2i−2i0000000000002i2−2i222−220000000000−i2−i2i2i2−2−222000000000000000000000000
χ7544-44-44-4-4-24-44i−4i4i−4i4-4-22-2222-24i−4i00000000−2i2i−2i2i-22-22000000000000−2i2i0000000000000000000000000000000000000000
χ7644-44-44-4-4-24-4−4i4i−4i4i4-4-22-2222-2−4i4i000000002i−2i2i−2i-22-220000000000002i−2i0000000000000000000000000000000000000000
χ7744-4-4-4-4444004-4-44004-4-444-4-400000000004-4-440000000000000000000000000000000000000000000000000000000000
χ7844-4-4-4-444400-444-4004-4-444-4-40000000000-444-40000000000000000000000000000000000000000000000000000000000
χ7944-4-4-4-444-2004-4-4400-222-2-2220000000000-222-2000000000000000000000000006−6−666−6−66000000000000000000000000
χ8044-4-4-4-444-2004-4-4400-222-2-2220000000000-222-200000000000000000000000000−666−6−666−6000000000000000000000000
χ8144-4-4-4-444-200-444-400-222-2-22200000000002-2-22000000000000000000000000006−6−66−666−6000000000000000000000000
χ8244-4-4-4-444-200-444-400-222-2-22200000000002-2-2200000000000000000000000000−666−66−6−66000000000000000000000000
χ834-444-4-4-44400000000-4444-4-4-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ844-444-4-4-44400000000-4444-4-4-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ854-44-4-444-4-2440000-4-42-222-22-20000004i−4i4i−4i0000-2-222000000000000000000−2i2i−2i2i00000000000000000000000000000000
χ864-44-4-444-4-2440000-4-42-222-22-2000000−4i4i−4i4i0000-2-2220000000000000000002i−2i2i−2i00000000000000000000000000000000
χ874-44-4-444-4-2-4-40000442-222-22-2004-44-40000000022-2-200000000000000-22-22000000000000000000000000000000000000
χ884-44-4-444-4-2-4-40000442-222-22-200-44-440000000022-2-2000000000000002-22-2000000000000000000000000000000000000
χ894-4-444-44-4400000000-4-44-444-400000000000000000000004-4-440000000000000000000000000000000000000000000000
χ904-4-444-44-4400000000-4-44-444-40000000000000000000000-444-40000000000000000000000000000000000000000000000
χ914-4-4-444-44-24-40000-44222-22-2-2004-4-4400000000-222-200000000000000-222-2000000000000000000000000000000000000
χ924-4-4-444-44-24-40000-44222-22-2-200-444-400000000-222-2000000000000002-2-22000000000000000000000000000000000000
χ934-4-4-444-44-2-4400004-4222-22-2-20000004-4-4400002-2-22000000000000000000-222-200000000000000000000000000000000
χ944-4-4-444-44-2-4400004-4222-22-2-2000000-444-400002-2-220000000000000000002-2-2200000000000000000000000000000000
χ958-888-8-8-88-4000000004-4-4-4444000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-888-88-8-40000000044-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000

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