Finite Group Databasebeta

← Group #10877212

Character table — Group #10877212

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444666688888888888888888888888888888812121212121216161616242424242424242424242424
order1222222234444444466666662212121212121212124444444444446688881212121212121212242424242424242444444412121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111-1-1-1-1111111111-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111-1-1-1-1111111111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ1111111111111-1-1-1-1111111111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111
χ1211111111111-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1
χ1311111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1411111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-1
χ1611111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ17222222222-2-22222-2-22222222-2-2-2-22222-2-2222200000000-2-200000000000000000000-2-222-2-20000000000000000
χ18222222222-2-22222-2-22222222-2-2-2-22222-2-2-2-2-2-200000000-2-20000000000000000000022-2-2220000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222000000002200000000000000000000-2-2-2-2220000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022000000000000000000002222-2-20000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022-2-222-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111110000001111000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-222-2-222-1-1-2-2-2-21111111111111111000000-1-1-1-1000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-1-1222211111111-1-1-1-1-1-1-1-10000001111000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-100002222-2-2-2-21122-2-2-1-1-1-11111-1-1-1-11111000000-1-111000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-1000022-2-2-2-22211-2-222-1-1-1-111111111-1-1-1-100000011-1-1000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-10000-2-22222-2-211-2-2221111-1-1-1-11111-1-1-1-1000000-1-111000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-10000-2-2-2-222221122-2-21111-1-1-1-1-1-1-1-1111100000011-1-1000000000000
χ292222-2-2-2-222222-2-2-2-222-22-2-2-22-22222-2-2-2-20000000000002-20000000000000000000000000000002-22-200000000
χ302222-2-2-2-222222-2-2-2-222-22-2-2-22-22222-2-2-2-20000000000002-2000000000000000000000000000000-22-2200000000
χ312222-2-2-2-2222-2-222-2-222-22-2-2-2-2222-2-222-2-2000000000000-220000000000000000000000000000002-2-2200000000
χ322222-2-2-2-2222-2-222-2-222-22-2-2-2-2222-2-222-2-2000000000000-22000000000000000000000000000000-222-200000000
χ332222-2-2-2-22-2-222-2-22222-22-2-2-2-22-2-222-2-2220000002i−2i002i−2i-22000000000000000000000000002i−2i2i−2i000000000000
χ342222-2-2-2-22-2-222-2-22222-22-2-2-2-22-2-222-2-222000000−2i2i00−2i2i-2200000000000000000000000000−2i2i−2i2i000000000000
χ352222-2-2-2-22-2-2-2-2222222-22-2-2-22-2-2-2-2-222220000002i−2i00−2i2i2-2000000000000000000000000002i−2i−2i2i000000000000
χ362222-2-2-2-22-2-2-2-2222222-22-2-2-22-2-2-2-2-22222000000−2i2i002i−2i2-200000000000000000000000000−2i2i2i−2i000000000000
χ372222-2-2-2-2-1-2-222-2-222-1-11-1111-2211-1-111-1-10000002i−2i002i−2i1-1000033−3−333−3−3−i3−i3i3i3−i3−i3i3i3000000−ii−ii000000000000
χ382222-2-2-2-2-1-2-222-2-222-1-11-1111-2211-1-111-1-10000002i−2i002i−2i1-10000−3−333−3−333i3i3−i3−i3i3i3−i3−i3000000−ii−ii000000000000
χ392222-2-2-2-2-1-2-222-2-222-1-11-1111-2211-1-111-1-1000000−2i2i00−2i2i1-1000033−3−333−3−3i3i3−i3−i3i3i3−i3−i3000000i−ii−i000000000000
χ402222-2-2-2-2-1-2-222-2-222-1-11-1111-2211-1-111-1-1000000−2i2i00−2i2i1-10000−3−333−3−333−i3−i3i3i3−i3−i3i3i3000000i−ii−i000000000000
χ412222-2-2-2-2-1-2-2-2-22222-1-11-11112-21111-1-1-1-10000002i−2i00−2i2i-11000033−3−3−3−333−i3−i3i3i3i3i3−i3−i3000000−iii−i000000000000
χ422222-2-2-2-2-1-2-2-2-22222-1-11-11112-21111-1-1-1-10000002i−2i00−2i2i-110000−3−33333−3−3i3i3−i3−i3−i3−i3i3i3000000−iii−i000000000000
χ432222-2-2-2-2-1-2-2-2-22222-1-11-11112-21111-1-1-1-1000000−2i2i002i−2i-11000033−3−3−3−333i3i3−i3−i3−i3−i3i3i3000000i−i−ii000000000000
χ442222-2-2-2-2-1-2-2-2-22222-1-11-11112-21111-1-1-1-1000000−2i2i002i−2i-110000−3−33333−3−3−i3−i3i3i3i3i3−i3−i3000000i−i−ii000000000000
χ4522-2-2-222-22002i−2i2i−2i002-2-2-222-200002i−2i2i−2i0022-2-200000000002−2−i2i2000000002−22−2−i2i2−i2i2002i−2i000000000000002−2−i2i2
χ4622-2-2-222-22002i−2i2i−2i002-2-2-222-200002i−2i2i−2i0022-2-20000000000−22i2−i200000000−22−22i2−i2i2−i2002i−2i00000000000000−22i2−i2
χ4722-2-2-222-22002i−2i2i−2i002-2-2-222-200002i−2i2i−2i00-2-22200000000002−2−i2i2000000002−22−2−i2i2−i2i200−2i2i00000000000000−22i2−i2
χ4822-2-2-222-22002i−2i2i−2i002-2-2-222-200002i−2i2i−2i00-2-2220000000000−22i2−i200000000−22−22i2−i2i2−i200−2i2i000000000000002−2−i2i2
χ4922-2-2-222-2200−2i2i−2i2i002-2-2-222-20000−2i2i−2i2i0022-2-200000000002−2i2−i2000000002−22−2i2−i2i2−i200−2i2i000000000000002−2i2−i2
χ5022-2-2-222-2200−2i2i−2i2i002-2-2-222-20000−2i2i−2i2i0022-2-20000000000−22−i2i200000000−22−22−i2i2−i2i200−2i2i00000000000000−22−i2i2
χ5122-2-2-222-2200−2i2i−2i2i002-2-2-222-20000−2i2i−2i2i00-2-22200000000002−2i2−i2000000002−22−2i2−i2i2−i2002i−2i00000000000000−22−i2i2
χ5222-2-2-222-2200−2i2i−2i2i002-2-2-222-20000−2i2i−2i2i00-2-2220000000000−22−i2i200000000−22−22−i2i2−i2i2002i−2i000000000000002−2i2−i2
χ532-22-222-2-222-200002-2-2-2222-2-2002-200002-22-22-200002i−2i0000000000002i−2i2i−2i000000002-2000000000000002i−2i0000
χ542-22-222-2-222-200002-2-2-2222-2-2002-200002-22-22-20000−2i2i000000000000−2i2i−2i2i000000002-200000000000000−2i2i0000
χ552-22-222-2-222-200002-2-2-2222-2-2002-200002-2-22-2200002i−2i0000000000002i−2i2i−2i00000000-2200000000000000−2i2i0000
χ562-22-222-2-222-200002-2-2-2222-2-2002-200002-2-22-220000−2i2i000000000000−2i2i−2i2i00000000-22000000000000002i−2i0000
χ572-22-222-2-22-220000-22-2-2222-2-200-220000-222-22-22i−2i0000000000002i−2i2i−2i000000000000-220000000000002i−2i000000
χ582-22-222-2-22-220000-22-2-2222-2-200-220000-222-22-2−2i2i000000000000−2i2i−2i2i000000000000-22000000000000−2i2i000000
χ592-22-222-2-22-220000-22-2-2222-2-200-220000-22-22-222i−2i0000000000002i−2i2i−2i0000000000002-2000000000000−2i2i000000
χ602-22-222-2-22-220000-22-2-2222-2-200-220000-22-22-22−2i2i000000000000−2i2i−2i2i0000000000002-20000000000002i−2i000000
χ6144444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-422-2-2-2-22200000000000022000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24422222222000000000000-2-2000000000000000000000000000000000000000000
χ634444-4-4-4-4-24444-4-4-4-4-2-22-22224-4-2-2-2-22222000000000000-22000000000000000000000000000000000000000000
χ644444-4-4-4-4-244-4-444-4-4-2-22-2222-44-2-222-2-2220000000000002-2000000000000000000000000000000000000000000
χ6544-4-44-4-444004i−4i−4i4i004-44-4-4-4400004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ6644-4-44-4-44400−4i4i4i−4i004-44-4-4-440000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ6744-4-44-4-44-2004i−4i−4i4i00-22-2222-20000−2i2i2i−2i0000000000000000000000000000i6−i6−i6i66−6−660000000000000000000000
χ6844-4-44-4-44-2004i−4i−4i4i00-22-2222-20000−2i2i2i−2i0000000000000000000000000000−i6i6i6−i6−666−60000000000000000000000
χ6944-4-44-4-44-200−4i4i4i−4i00-22-2222-200002i−2i−2i2i0000000000000000000000000000i6−i6−i6i6−666−60000000000000000000000
χ7044-4-44-4-44-200−4i4i4i−4i00-22-2222-200002i−2i−2i2i0000000000000000000000000000−i6i6i6−i66−6−660000000000000000000000
χ7144-4-4-444-4-2004i−4i4i−4i00-2222-2-220000−2i2i−2i2i000000000000000022−22−2i22i200000000−22−22i2−i2i2−i20000000000000000000000
χ7244-4-4-444-4-2004i−4i4i−4i00-2222-2-220000−2i2i−2i2i0000000000000000−22222i2−2i2000000002−22−2−i2i2−i2i20000000000000000000000
χ7344-4-4-444-4-200−4i4i−4i4i00-2222-2-2200002i−2i2i−2i000000000000000022−222i2−2i200000000−22−22−i2i2−i2i20000000000000000000000
χ7444-4-4-444-4-200−4i4i−4i4i00-2222-2-2200002i−2i2i−2i0000000000000000−2222−2i22i2000000002−22−2i2−i2i2−i20000000000000000000000
χ754-44-444-4-4-24-400004-422-2-2-22200-220000-22000000004i−4i000000000000−2i2i−2i2i000000000000000000000000000000
χ764-44-444-4-4-24-400004-422-2-2-22200-220000-2200000000−4i4i0000000000002i−2i2i−2i000000000000000000000000000000
χ774-44-444-4-4-2-440000-4422-2-2-222002-200002-200004i−4i000000000000−2i2i−2i2i0000000000000000000000000000000000
χ784-44-444-4-4-2-440000-4422-2-2-222002-200002-20000−4i4i0000000000002i−2i2i−2i0000000000000000000000000000000000
χ794-44-4-4-44444-40000-44-4-4-44-444004-40000-4400000000000000000000000000000000000000000000000000000000
χ804-44-4-4-4444-4400004-4-4-4-44-44400-4400004-400000000000000000000000000000000000000000000000000000000
χ814-44-4-4-444-24-40000-44222-22-2-200-2200002-2000000000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ824-44-4-4-444-24-40000-44222-22-2-200-2200002-20000000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ834-44-4-4-444-2-4400004-4222-22-2-2002-20000-220000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ844-44-4-4-444-2-4400004-4222-22-2-2002-20000-2200000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ854-4-444-44-4400000000-444-4-44-40000000000000000000000000000000000000000000000004i−4i0000000000000000
χ864-4-444-44-4400000000-444-4-44-4000000000000000000000000000000000000000000000000−4i4i0000000000000000
χ874-4-44-44-44400000000-44-4-44-4400000000004-4-440000000000000000000000000000000000000000000000000000
χ884-4-44-44-44400000000-44-4-44-440000000000-444-40000000000000000000000000000000000000000000000000000
χ898-8-888-88-8-4000000004-4-444-44000000000000000000000000000000000000000000000000000000000000000000
χ908-8-88-88-88-4000000004-444-44-4000000000000000000000000000000000000000000000000000000000000000000

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