Finite Group Databasebeta

← Group #10695049

Character table — Group #10695049

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order122222223444444444444666666688888888121212121212121212121212242424242424242424242424242424248888888888888888444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ91-1-1-1111-11-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1i−ii−i
χ101-1-1-1111-11-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−ii−ii
χ111-1-1-1111-11-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−ii−ii
χ121-1-1-1111-11-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111i−ii−i
χ131-1-1-1111-11-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ141-1-1-1111-11-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ151-1-1-1111-11-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ161-1-1-1111-11-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ1722222222222-2-2-2-222-2-2-2-2222222222-2-222-2-222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ1822222222222-2-2-2-222-2-2-2-22222222-2-222-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ19222222222-2-222-2-2-2-222-2-2222222200000000-2-222-2-222-2-2-2-200000000000000000000000022-2-222-2-20000000000000000
χ20222222222-2-222-2-2-2-222-2-2222222200000000-2-222-2-222-2-2-2-2000000000000000000000000-2-222-2-2220000000000000000
χ21222222222-2-2-2-222-2-2-2-222222222200000000-2-2-2-222-2-222-2-2000000000000000022-2-222-2-2000000000000000000000000
χ22222222222-2-2-2-222-2-2-2-222222222200000000-2-2-2-222-2-222-2-20000000000000000-2-222-2-222000000000000000000000000
χ2322222222-1222222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2422222222-1222222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2522222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-111110000
χ2622222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-10000
χ2722222222-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-111111111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2822222222-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-111111111-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2922222222-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-2-222-2-222-1-111111111-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ3022222222-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-2-222-2-222-1-111111111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ31222-22-2-2-222-200002-2000022-2-22-2-2002-2002-22-2000000002-2000022-2-2000022-2-22−22−22−22−22−22−22−22−20000000000000000
χ32222-22-2-2-222-200002-2000022-2-22-2-2002-2002-22-2000000002-2000022-2-2000022-2-2−22−22−22−22−22−22−22−220000000000000000
χ33222-22-2-2-222-200002-2000022-2-22-2-200-2200-222-2000000002-20000-2-2220000-2-2222−22−22−22−2−22−22−22−220000000000000000
χ34222-22-2-2-222-200002-2000022-2-22-2-200-2200-222-2000000002-20000-2-2220000-2-222−22−22−22−222−22−22−22−20000000000000000
χ35222-22-2-2-22-220000-22000022-2-22-2-22-2002-200-2200000000-2222-2-2000022-2-200002−2−222−2−222−2−222−2−220000000000000000
χ36222-22-2-2-22-220000-22000022-2-22-2-22-2002-200-2200000000-2222-2-2000022-2-20000−222−2−222−2−222−2−222−20000000000000000
χ37222-22-2-2-22-220000-22000022-2-22-2-2-2200-2200-2200000000-22-2-2220000-2-22200002−2−222−2−22−222−2−222−20000000000000000
χ38222-22-2-2-22-220000-22000022-2-22-2-2-2200-2200-2200000000-22-2-2220000-2-2220000−222−2−222−22−2−222−2−220000000000000000
χ392-2-222-2-2222-20000-220000-2-2222-2-22-200-22002-200000000-2222-2-20000-2-2220000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ402-2-222-2-2222-20000-220000-2-2222-2-22-200-22002-200000000-2222-2-20000-2-2220000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ412-2-222-2-2222-20000-220000-2-2222-2-2-22002-2002-200000000-22-2-222000022-2-20000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ422-2-222-2-2222-20000-220000-2-2222-2-2-22002-2002-200000000-22-2-222000022-2-20000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ432-2-222-2-222-2200002-20000-2-2222-2-2002-200-22-22000000002-2000022-2-20000-2-222−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ442-2-222-2-222-2200002-20000-2-2222-2-2002-200-22-22000000002-2000022-2-20000-2-222i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ452-2-222-2-222-2200002-20000-2-2222-2-200-22002-2-22000000002-20000-2-222000022-2-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ462-2-222-2-222-2200002-20000-2-2222-2-200-22002-2-22000000002-20000-2-222000022-2-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ472-2-2-2222-222222-2-2-2-2-2-222-2-2-2-2222000000002222-2-2-2-222-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ482-2-2-2222-222222-2-2-2-2-2-222-2-2-2-2222000000002222-2-2-2-222-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ492-2-2-2222-2222-2-222-2-222-2-2-2-2-2-22220000000022-2-22222-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ502-2-2-2222-2222-2-222-2-222-2-2-2-2-2-22220000000022-2-22222-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ512-2-2-2222-22-2-2-2-2-2-2222222-2-2-2-222222-2-2-2-222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ522-2-2-2222-22-2-2-2-2-2-2222222-2-2-2-2222-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ532-2-2-2222-2-1-2-2222222-2-2-2-21111-1-1-12222-2-2-2-211-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-1110000
χ542-2-2-2222-2-1-2-2222222-2-2-2-21111-1-1-12222-2-2-2-211-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-10000
χ552-2-2-2222-2-1-2-2222222-2-2-2-21111-1-1-1-2-2-2-2222211-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ562-2-2-2222-2-1-2-2222222-2-2-2-21111-1-1-1-2-2-2-2222211-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ572-2-2-2222-2-1-2-2-2-2-2-22222221111-1-1-122-2-2-2-222111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ582-2-2-2222-2-1-2-2-2-2-2-22222221111-1-1-122-2-2-2-222111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ592-2-2-2222-2-1-2-2-2-2-2-22222221111-1-1-1-2-22222-2-2111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ602-2-2-2222-2-1-2-2-2-2-2-22222221111-1-1-1-2-22222-2-2111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ6144444444-2-4-444-4-4-4-444-4-4-2-2-2-2-2-2-20000000022-2-222-2-22222000000000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-444-4-4-4-444-2-2-2-2-2-2-2000000002222-2-222-2-222000000000000000000000000000000000000000000000000
χ63444-44-4-4-4-24-400004-40000-2-222-222004-4004-4-2200000000-220000-2-2220000-2-22200000000000000000000000000000000
χ64444-44-4-4-4-24-400004-40000-2-222-22200-4400-44-2200000000-22000022-2-2000022-2-200000000000000000000000000000000
χ65444-44-4-4-4-2-440000-440000-2-222-2224-4004-4002-2000000002-2-2-2220000-2-222000000000000000000000000000000000000
χ66444-44-4-4-4-2-440000-440000-2-222-222-4400-44002-2000000002-222-2-2000022-2-2000000000000000000000000000000000000
χ6744-44-44-4-4400004-400004-44-44-4-44-40000000000004-4004-400000000000000000000000000000000000000000000000000
χ6844-44-44-4-440000-440000-444-44-4-44-4000000000000-4400-4400000000000000000000000000000000000000000000000000
χ6944-44-44-4-4-200004-400004-4-22-222-22000000000000-2200-22006−66−66−66−66−66−66−66−600000000000000000000000000000000
χ7044-44-44-4-4-200004-400004-4-22-222-22000000000000-2200-2200−66−66−66−66−66−66−66−6600000000000000000000000000000000
χ7144-44-44-4-4-20000-440000-44-22-222-220000000000002-2002-2006−66−6−66−666−66−6−66−6600000000000000000000000000000000
χ7244-44-44-4-4-20000-440000-44-22-222-220000000000002-2002-200−66−666−66−6−66−666−66−600000000000000000000000000000000
χ7344-4-4-4-4444004-400004-4004-4-44-4-4400000000004-4004-40000000000000000000000000000000000000000000000000000
χ7444-4-4-4-444400-440000-44004-4-44-4-440000000000-4400-440000000000000000000000000000000000000000000000000000
χ7544-4-4-4-444-2004-400004-400-222-222-20000000000-2200-2200006−6−666−6−666−6−666−6−6600000000000000000000000000000000
χ7644-4-4-4-444-2004-400004-400-222-222-20000000000-2200-220000−666−6−666−6−666−6−666−600000000000000000000000000000000
χ7744-4-4-4-444-200-440000-4400-222-222-200000000002-2002-200006−6−66−666−66−6−66−666−600000000000000000000000000000000
χ7844-4-4-4-444-200-440000-4400-222-222-200000000002-2002-20000−666−66−6−66−666−66−6−6600000000000000000000000000000000
χ794-444-4-44-44004-40000-4400-444-4-4-4400000000004-400-440000000000000000000000000000000000000000000000000000
χ804-444-4-44-4400-4400004-400-444-4-4-440000000000-44004-40000000000000000000000000000000000000000000000000000
χ814-444-4-44-4-2004-40000-44002-2-2222-20000000000-22002-200006−6−666−6−66−666−6−666−600000000000000000000000000000000
χ824-444-4-44-4-2004-40000-44002-2-2222-20000000000-22002-20000−666−6−666−66−6−666−6−6600000000000000000000000000000000
χ834-444-4-44-4-200-4400004-4002-2-2222-200000000002-200-2200006−6−66−666−6−666−66−6−6600000000000000000000000000000000
χ844-444-4-44-4-200-4400004-4002-2-2222-200000000002-200-220000−666−66−6−666−6−66−666−600000000000000000000000000000000
χ854-44-4-44-44400004-40000-44-44-44-44-40000000000004-400-4400000000000000000000000000000000000000000000000000
χ864-44-4-44-4440000-4400004-4-44-44-44-4000000000000-44004-400000000000000000000000000000000000000000000000000
χ874-44-4-44-44-200004-40000-442-22-22-22000000000000-22002-2006−66−66−66−6−66−66−66−6600000000000000000000000000000000
χ884-44-4-44-44-200004-40000-442-22-22-22000000000000-22002-200−66−66−66−666−66−66−66−600000000000000000000000000000000
χ894-44-4-44-44-20000-4400004-42-22-22-220000000000002-200-22006−66−6−66−66−66−666−66−600000000000000000000000000000000
χ904-44-4-44-44-20000-4400004-42-22-22-220000000000002-200-2200−66−666−66−66−66−6−66−6600000000000000000000000000000000
χ914-4-444-4-44-24-40000-44000022-2-2-2224-400-4400-22000000002-2-2-222000022-2-2000000000000000000000000000000000000
χ924-4-444-4-44-24-40000-44000022-2-2-222-44004-400-22000000002-222-2-20000-2-222000000000000000000000000000000000000
χ934-4-444-4-44-2-4400004-4000022-2-2-222004-400-442-200000000-220000-2-222000022-2-200000000000000000000000000000000
χ944-4-444-4-44-2-4400004-4000022-2-2-22200-44004-42-200000000-22000022-2-20000-2-22200000000000000000000000000000000
χ954-4-4-4444-4-24444-4-4-4-4-4-4442222-2-2-200000000-2-2-2-22222-2-222000000000000000000000000000000000000000000000000
χ964-4-4-4444-4-244-4-444-4-444-4-42222-2-2-200000000-2-222-2-2-2-22222000000000000000000000000000000000000000000000000

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