Finite Group Databasebeta

← Group #10773147

Character table — Group #10773147

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222222224444444444444444444444444444444444444444888816161616161616161616242424242424242448484848
order122222344446666666444488888888121212121212121212121212242424242424242424242424242424244444441212121212121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-11111-1-1
χ91111-1-111111-1-1-1-1111-1-1-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-111-1-11-11-11-11-1
χ101111-1-111111-1-1-1-1111-1-1-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-111-11-11-11-11
χ111111-1-111111-1-1-1-1111-1-1-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1111-1-111-1-111-1-11
χ121111-1-111111-1-1-1-1111-1-1-111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-111-111-1-111-1-111-1
χ131111-1-111111-1-1-1-1111-1-1-11-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-11111-1-11-11-1-11-11
χ141111-1-111111-1-1-1-1111-1-1-11-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-111-1-111-11-111-11-1
χ151111-1-111111-1-1-1-1111-1-1-11-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-11111-1-11-1-111-1-11-111-1
χ161111-1-111111-1-1-1-1111-1-1-11-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-11111-1-1-111-1-111-11-1-11
χ17222222222-2-22222222-22-2-200000000-2-222-2-222-2-2-2-2000000000000000000000000000000020200-2-20000
χ18222222222-2-22222222-22-2-200000000-2-222-2-222-2-2-2-20000000000000000000000000000000-20-200220000
χ192222222-2-2222222222-2-22-200000000-2-2-2-222-2-222-2-20000000000000000000000000000002020-2-2000000
χ202222222-2-2222222222-2-22-200000000-2-2-2-222-2-222-2-2000000000000000000000000000000-20-2022000000
χ212222222-2-2-2-222222222-2-220000000022-2-2-2-2-2-2-2-22200000000000000002-22-2002-22-20000000000000000
χ222222222-2-2-2-222222222-2-220000000022-2-2-2-2-2-2-2-2220000000000000000-22-2200-22-220000000000000000
χ23222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1000000000000
χ24222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111000000000000
χ25222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-1-1-1-11111000000000000
χ26222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2221111-1-1-1-1000000000000
χ27222222-1-2-2-2-2-1-1-1-1-1-1-12-2-2200000000-1-111111111-1-1−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32-22-200-11-11−i3i3−i3i3000000000000
χ28222222-1-2-2-2-2-1-1-1-1-1-1-12-2-2200000000-1-111111111-1-1−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-22-22001-11-1i3−i3i3−i3000000000000
χ29222222-1-2-2-2-2-1-1-1-1-1-1-12-2-2200000000-1-111111111-1-1i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32-22-200-11-11i3−i3i3−i3000000000000
χ30222222-1-2-2-2-2-1-1-1-1-1-1-12-2-2200000000-1-111111111-1-1i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22-22001-11-1−i3i3−i3i3000000000000
χ312222-2-2222-2-2-2-2-2-22222-22-2000000002222-2-2-2-222-2-2000000000000000000000000000000020-200-220000
χ322222-2-2222-2-2-2-2-2-22222-22-2000000002222-2-2-2-222-2-20000000000000000000000000000000-202002-20000
χ332222-2-22-2-222-2-2-2-222222-2-20000000022-2-22222-2-2-2-200000000000000000000000000000020-20-22000000
χ342222-2-22-2-222-2-2-2-222222-2-20000000022-2-22222-2-2-2-2000000000000000000000000000000-20202-2000000
χ352222-2-22-2-2-2-2-2-2-2-2222-222200000000-2-2-2-2-2-222222200000000000000002-2-22002-2-220000000000000000
χ362222-2-22-2-2-2-2-2-2-2-2222-222200000000-2-2-2-2-2-22222220000000000000000-222-200-222-20000000000000000
χ372222-2-2-122221111-1-1-1-2-2-222222-2-2-2-211-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-22-2-1-111-1-111000000000000
χ382222-2-2-122221111-1-1-1-2-2-222222-2-2-2-211-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222-2211-1-111-1-1000000000000
χ392222-2-2-122221111-1-1-1-2-2-22-2-2-2-2222211-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-2-22-1-11111-1-1000000000000
χ402222-2-2-122221111-1-1-1-2-2-22-2-2-2-2222211-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2222-211-1-1-1-111000000000000
χ412222-2-2-1-2-2-2-21111-1-1-1-222200000000111111-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32-2-2200-111-1−i3i3i3−i3000000000000
χ422222-2-2-1-2-2-2-21111-1-1-1-222200000000111111-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-222-2001-1-11i3−i3−i3i3000000000000
χ432222-2-2-1-2-2-2-21111-1-1-1-222200000000111111-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32-2-2200-111-1i3−i3−i3i3000000000000
χ442222-2-2-1-2-2-2-21111-1-1-1-222200000000111111-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-222-2001-1-11−i3i3i3−i3000000000000
χ45444444-244-4-4-2-2-2-2-2-2-2-44-4-40000000022-2-222-2-22222000000000000000000000000000000000000000000
χ46444444-2-4-444-2-2-2-2-2-2-2-4-44-4000000002222-2-222-2-222000000000000000000000000000000000000000000
χ474444-4-4-244-4-42222-2-2-24-44-400000000-2-2-2-22222-2-222000000000000000000000000000000000000000000
χ484444-4-4-2-4-4442222-2-2-244-4-400000000-2-222-2-2-2-22222000000000000000000000000000000000000000000
χ4944-4-44-44000044-4-44-4-4000022-2-222-2-200000000000022-2-222-2-222-2-222-2-200000000000000000000000000
χ5044-4-44-44000044-4-44-4-40000-2-222-2-222000000000000-2-222-2-222-2-222-2-22200000000000000000000000000
χ5144-4-44-4-20000-2-222-222000022-2-222-2-2−2i32i300000000−2i32i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i300000000000000000000000000
χ5244-4-44-4-20000-2-222-222000022-2-222-2-22i3−2i3000000002i3−2i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i300000000000000000000000000
χ5344-4-44-4-20000-2-222-2220000-2-222-2-222−2i32i300000000−2i32i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i300000000000000000000000000
χ5444-4-44-4-20000-2-222-2220000-2-222-2-2222i3−2i3000000002i3−2i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i300000000000000000000000000
χ5544-4-4-4440000-4-4444-4-4000022-2-2-2-22200000000000022-2-222-2-2-2-222-2-22200000000000000000000000000
χ5644-4-4-4440000-4-4444-4-40000-2-22222-2-2000000000000-2-222-2-22222-2-222-2-200000000000000000000000000
χ5744-4-4-44-2000022-2-2-222000022-2-2-2-222−2i32i3000000002i3−2i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i300000000000000000000000000
χ5844-4-4-44-2000022-2-2-222000022-2-2-2-2222i3−2i300000000−2i32i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i300000000000000000000000000
χ5944-4-4-44-2000022-2-2-2220000-2-22222-2-2−2i32i3000000002i3−2i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i300000000000000000000000000
χ6044-4-4-44-2000022-2-2-2220000-2-22222-2-22i3−2i300000000−2i32i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i300000000000000000000000000
χ614-44-4004004-40000-44-400000000−2i22i2−2i22i200004-400000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000
χ624-44-4004004-40000-44-4000000002i2−2i22i2−2i200004-4000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000
χ634-44-400400-440000-44-40000−2i22i2−2i22i200000000-44000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000
χ644-44-400400-440000-44-400002i2−2i22i2−2i200000000-440000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000
χ654-44-400-2004-4−2i32i3−2i32i32-2200000000−2i22i2−2i22i20000-2200−2i32i3006−66−6−66−66i2−i2i2−i2i2−i2i2−i200000000000000000000000000
χ664-44-400-2004-4−2i32i3−2i32i32-22000000002i2−2i22i2−2i20000-2200−2i32i300−66−666−66−6−i2i2−i2i2−i2i2−i2i200000000000000000000000000
χ674-44-400-2004-42i3−2i32i3−2i32-2200000000−2i22i2−2i22i20000-22002i3−2i300−66−666−66−6i2−i2i2−i2i2−i2i2−i200000000000000000000000000
χ684-44-400-2004-42i3−2i32i3−2i32-22000000002i2−2i22i2−2i20000-22002i3−2i3006−66−6−66−66−i2i2−i2i2−i2i2−i2i200000000000000000000000000
χ694-44-400-200-44−2i32i3−2i32i32-220000−2i22i2−2i22i2000000002-2002i3−2i300i2−i2i2−i2i2−i2i2−i26−66−6−66−6600000000000000000000000000
χ704-44-400-200-44−2i32i3−2i32i32-2200002i2−2i22i2−2i2000000002-2002i3−2i300−i2i2−i2i2−i2i2−i2i2−66−666−66−600000000000000000000000000
χ714-44-400-200-442i3−2i32i3−2i32-220000−2i22i2−2i22i2000000002-200−2i32i300i2−i2i2−i2i2−i2i2−i2−66−666−66−600000000000000000000000000
χ724-44-400-200-442i3−2i32i3−2i32-2200002i2−2i22i2−2i2000000002-200−2i32i300−i2i2−i2i2−i2i2−i2i26−66−6−66−6600000000000000000000000000
χ734-4-440044-4000000-4-4400000000−2i22i22i2−2i2004-40000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000
χ744-4-440044-4000000-4-44000000002i2−2i2−2i22i2004-400000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000
χ754-4-44004-44000000-4-440000−2i22i22i2−2i2000000-4400000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ764-4-44004-44000000-4-4400002i2−2i2−2i22i2000000-44000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ774-4-4400-24-400−2i32i32i3−2i322-200000000−2i22i22i2−2i200-2200−2i32i300006−6−66−666−6i2−i2−i2i2i2−i2−i2i200000000000000000000000000
χ784-4-4400-24-400−2i32i32i3−2i322-2000000002i2−2i2−2i22i200-2200−2i32i30000−666−66−6−66−i2i2i2−i2−i2i2i2−i200000000000000000000000000
χ794-4-4400-24-4002i3−2i3−2i32i322-200000000−2i22i22i2−2i200-22002i3−2i30000−666−66−6−66i2−i2−i2i2i2−i2−i2i200000000000000000000000000
χ804-4-4400-24-4002i3−2i3−2i32i322-2000000002i2−2i2−2i22i200-22002i3−2i300006−6−66−666−6−i2i2i2−i2−i2i2i2−i200000000000000000000000000
χ814-4-4400-2-4400−2i32i32i3−2i322-20000−2i22i22i2−2i20000002-2002i3−2i30000i2−i2−i2i2i2−i2−i2i26−6−66−666−600000000000000000000000000
χ824-4-4400-2-4400−2i32i32i3−2i322-200002i2−2i2−2i22i20000002-2002i3−2i30000−i2i2i2−i2−i2i2i2−i2−666−66−6−6600000000000000000000000000
χ834-4-4400-2-44002i3−2i3−2i32i322-20000−2i22i22i2−2i20000002-200−2i32i30000i2−i2−i2i2i2−i2−i2i2−666−66−6−6600000000000000000000000000
χ844-4-4400-2-44002i3−2i3−2i32i322-200002i2−2i2−2i22i20000002-200−2i32i30000−i2i2i2−i2−i2i2i2−i26−6−66−666−600000000000000000000000000

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