Finite Group Databasebeta

← Group #10944212

Character table — Group #10944212

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212121216161616161648484848
order1222222222344666666622444444444666612121212222266666666661212121212121212222244444444444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1111-1-1111111111111-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1111-1-1111111111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111111-1-111
χ811111111111111111111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111111111-1-1
χ911111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-111-1-11-11-1
χ1011111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-111-1-1-11-11
χ1111111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-11-1-111-11-11
χ1211111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11-1-1111-11-1
χ1311111111111-1-11111111-1-1-1-111-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-11-1-1111-1-11
χ1411111111111-1-11111111-1-1-1-111-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-11-1-111-111-1
χ1511111111111-1-11111111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-1111-111-1-1-111-1
χ1611111111111-1-11111111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-11-111-1-11-1-11
χ172222222222-122-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-10000
χ182222222222-122-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-211110000
χ192222222222-122-1-1-1-1-1-1-1-2-2-2-2-2-2222-2-2-1-1-1-1-1-1-1-1222211-1-1-1-1-1-1-1-11111-1-1110000000000000000-2-211110000
χ202222222222-122-1-1-1-1-1-1-1-2-2-2-2-2-2222-2-2-1-1-1-1-1-1-1-1-2-2-2-211111111111111-1-111000000000000000022-1-1-1-10000
χ212222222222-1-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-1-1-1-1111122-2-2-1-1-1-1-1-11111-1-111111100000000000000002-2-1-1110000
χ222222222222-1-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-1-1-1-11111-2-222-1-11111-1-1-1-1-1-11111110000000000000000-2211-1-10000
χ232222222222-1-2-2-1-1-1-1-1-1-1-2-2-2-222-2-2-222-1-1-1-1111122-2-211-1-1-1-1111111-1-111-1-10000000000000000-2211-1-10000
χ242222222222-1-2-2-1-1-1-1-1-1-1-2-2-2-222-2-2-222-1-1-1-11111-2-222111111-1-1-1-111-1-111-1-100000000000000002-2-1-1110000
χ2522222-2-22-2-2222222222222-2-2-2-22-2-222-2-2-2-2222200002200000000-2-2-2-2-2-22200000000000000000000000000
χ2622222-2-22-2-22222222222-2-222222-2-2-2-2-2-2-2-222220000-2-2000000002222-2-2-2-200000000000000000000000000
χ2722222-2-22-2-22-2-2222222222-2-222-222-2-2-2-2-2-2-2-2-2-200002200000000-2-22222-2-200000000000000000000000000
χ2822222-2-22-2-22-2-22222222-2-222-2-2-22222-2-2-2-2-2-2-2-20000-2-20000000022-2-2222200000000000000000000000000
χ2922222-2-22-2-2-122-1-1-1-1-1-1-122-2-2-2-22-2-2221111-1-1-1-10000-1-1−i3−i3i3i3−i3−i3i3i3111111-1-1000000000000000000−i3i3−i3i30000
χ3022222-2-22-2-2-122-1-1-1-1-1-1-122-2-2-2-22-2-2221111-1-1-1-10000-1-1i3i3−i3−i3i3i3−i3−i3111111-1-1000000000000000000i3−i3i3−i30000
χ3122222-2-22-2-2-122-1-1-1-1-1-1-1-2-222222-2-2-2-21111-1-1-1-1000011−i3−i3i3i3−i3−i3i3i3-1-1-1-11111000000000000000000i3−i3i3−i30000
χ3222222-2-22-2-2-122-1-1-1-1-1-1-1-2-222222-2-2-2-21111-1-1-1-1000011i3i3−i3−i3i3i3−i3−i3-1-1-1-11111000000000000000000−i3i3−i3i30000
χ3322222-2-22-2-2-1-2-2-1-1-1-1-1-1-122-2-222-222-2-2111111110000-1-1−i3−i3i3i3i3i3−i3−i311-1-1-1-111000000000000000000−i3i3i3−i30000
χ3422222-2-22-2-2-1-2-2-1-1-1-1-1-1-122-2-222-222-2-2111111110000-1-1i3i3−i3−i3−i3−i3i3i311-1-1-1-111000000000000000000i3−i3−i3i30000
χ3522222-2-22-2-2-1-2-2-1-1-1-1-1-1-1-2-222-2-2-2222211111111000011−i3−i3i3i3i3i3−i3−i3-1-111-1-1-1-1000000000000000000i3−i3−i3i30000
χ3622222-2-22-2-2-1-2-2-1-1-1-1-1-1-1-2-222-2-2-2222211111111000011i3i3−i3−i3−i3−i3i3i3-1-111-1-1-1-1000000000000000000−i3i3i3−i30000
χ372222-22-2-22-2222-2-222-2-22000000-22-20022-2-222-2-20000000000000000002-20000220000-2-2-2-200220000000000
χ382222-22-2-22-2222-2-222-2-22000000-22-20022-2-222-2-20000000000000000002-20000-2-20000222200-2-20000000000
χ392222-22-2-22-22-2-2-2-222-2-220000002-220022-2-2-2-222000000000000000000-220000220000-2-22200-2-20000000000
χ402222-22-2-22-22-2-2-2-222-2-220000002-220022-2-2-2-222000000000000000000-220000-2-2000022-2-200220000000000
χ412222-2-22-2-22222-2-222-2-22000000-2-2200-2-22222-2-2000000000000000000-22002200-2-2-2-2000022000000000000
χ422222-2-22-2-22222-2-222-2-22000000-2-2200-2-22222-2-2000000000000000000-2200-2-20022220000-2-2000000000000
χ432222-2-22-2-222-2-2-2-222-2-2200000022-200-2-222-2-2220000000000000000002-2002200-2-2220000-2-2000000000000
χ442222-2-22-2-222-2-2-2-222-2-2200000022-200-2-222-2-2220000000000000000002-200-2-20022-2-2000022000000000000
χ4522-2-222-2-2-22200222-2-2-2-200002i−2i0002i−2i2-22-2000000000000000000002i−2i002i−2i2-2002-200002i−2i002i−2i0000000000
χ4622-2-222-2-2-22200222-2-2-2-200002i−2i0002i−2i2-22-2000000000000000000002i−2i002i−2i-2200-220000−2i2i00−2i2i0000000000
χ4722-2-222-2-2-22200222-2-2-2-20000−2i2i000−2i2i2-22-200000000000000000000−2i2i00−2i2i2-2002-20000−2i2i00−2i2i0000000000
χ4822-2-222-2-2-22200222-2-2-2-20000−2i2i000−2i2i2-22-200000000000000000000−2i2i00−2i2i-2200-2200002i−2i002i−2i0000000000
χ4922-2-22-22-22-2200222-2-2-2-200002i−2i000−2i2i-22-22000000000000000000002i−2i00−2i2i002-2002i−2i2-2002i−2i000000000000
χ5022-2-22-22-22-2200222-2-2-2-200002i−2i000−2i2i-22-22000000000000000000002i−2i00−2i2i00-2200−2i2i-2200−2i2i000000000000
χ5122-2-22-22-22-2200222-2-2-2-20000−2i2i0002i−2i-22-2200000000000000000000−2i2i002i−2i002-200−2i2i2-200−2i2i000000000000
χ5222-2-22-22-22-2200222-2-2-2-20000−2i2i0002i−2i-22-2200000000000000000000−2i2i002i−2i00-22002i−2i-22002i−2i000000000000
χ5322-2-2-2222-2-2200-2-22-222-22-22-200000002-2-22000000002-2000000002-20000000000002i−2i002i−2i−2i2i−2i2i0000000000
χ5422-2-2-2222-2-2200-2-22-222-22-22-200000002-2-22000000002-2000000002-2000000000000−2i2i00−2i2i2i−2i2i−2i0000000000
χ5522-2-2-2222-2-2200-2-22-222-2-22-2200000002-2-2200000000-2200000000-220000000000002i−2i00−2i2i−2i2i2i−2i0000000000
χ5622-2-2-2222-2-2200-2-22-222-2-22-2200000002-2-2200000000-2200000000-22000000000000−2i2i002i−2i2i−2i−2i2i0000000000
χ5722-2-2-2-2-2222200-2-22-222-22-2-220000000-222-2000000002-200000000-220000002-2-22-22002-20000000000000000
χ5822-2-2-2-2-2222200-2-22-222-22-2-220000000-222-2000000002-200000000-22000000-222-22-200-220000000000000000
χ5922-2-2-2-2-2222200-2-22-222-2-222-20000000-222-200000000-22000000002-20000002-22-2-2200-220000000000000000
χ6022-2-2-2-2-2222200-2-22-222-2-222-20000000-222-200000000-22000000002-2000000-22-222-2002-20000000000000000
χ614444-44-4-44-4-24422-2-222-2000000-44-400-2-222-2-222000000000000000000-220000000000000000000000000000
χ624444-44-4-44-4-2-4-422-2-222-20000004-4400-2-22222-2-20000000000000000002-20000000000000000000000000000
χ634444-4-44-4-44-24422-2-222-2000000-4-440022-2-2-2-2220000000000000000002-20000000000000000000000000000
χ644444-4-44-4-44-2-4-422-2-222-200000044-40022-2-222-2-2000000000000000000-220000000000000000000000000000
χ6544-4-444-4-4-44-200-2-2-2222200004i−4i0004i−4i-22-2200000000000000000000−2i2i00−2i2i00000000000000000000000000
χ6644-4-444-4-4-44-200-2-2-222220000−4i4i000−4i4i-22-22000000000000000000002i−2i002i−2i00000000000000000000000000
χ6744-4-44-44-44-4-200-2-2-2222200004i−4i000−4i4i2-22-200000000000000000000−2i2i002i−2i00000000000000000000000000
χ6844-4-44-44-44-4-200-2-2-222220000−4i4i0004i−4i2-22-2000000000000000000002i−2i00−2i2i00000000000000000000000000
χ6944-4-4-4444-4-4-20022-22-2-224-44-40000000-222-200000000-2200000000-2200000000000000000000000000000000
χ7044-4-4-4444-4-4-20022-22-2-22-44-440000000-222-2000000002-2000000002-200000000000000000000000000000000
χ7144-4-4-4-4-4444-20022-22-2-224-4-4400000002-2-2200000000-22000000002-200000000000000000000000000000000
χ7244-4-4-4-4-4444-20022-22-2-22-444-400000002-2-22000000002-200000000-2200000000000000000000000000000000
χ734-4-4400000044-400-4-40040000000000000004-4002-22-2002-22-22-22-20000000000000000000000000000000000
χ744-4-4400000044-400-4-40040000000000000004-400-22-2200-22-22-22-220000000000000000000000000000000000
χ754-4-440000004-4400-4-4004000000000000000-44002-2-22002-22-2-22-220000000000000000000000000000000000
χ764-4-440000004-4400-4-4004000000000000000-4400-222-200-22-222-22-20000000000000000000000000000000000
χ774-4-44000000-24-4−2i32i322−2i32i3-2000000000000000-22−2i32i32-22-200−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i30000000000000000000000000000000000
χ784-4-44000000-24-4−2i32i322−2i32i3-2000000000000000-22−2i32i3-22-22001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i30000000000000000000000000000000000
χ794-4-44000000-24-42i3−2i3222i3−2i3-2000000000000000-222i3−2i32-22-200−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i30000000000000000000000000000000000
χ804-4-44000000-24-42i3−2i3222i3−2i3-2000000000000000-222i3−2i3-22-22001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i30000000000000000000000000000000000
χ814-4-44000000-2-44−2i32i322−2i32i3-20000000000000002-22i3−2i32-2-2200−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i30000000000000000000000000000000000
χ824-4-44000000-2-44−2i32i322−2i32i3-20000000000000002-22i3−2i3-222-2001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i30000000000000000000000000000000000
χ834-4-44000000-2-442i3−2i3222i3−2i3-20000000000000002-2−2i32i32-2-2200−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i30000000000000000000000000000000000
χ844-4-44000000-2-442i3−2i3222i3−2i3-20000000000000002-2−2i32i3-222-2001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i30000000000000000000000000000000000
χ858-88-800000080000-8800-80000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8000000-400−4i34i34-44i3−4i340000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8000000-4004i3−4i34-4−4i34i340000000000000000000000000000000000000000000000000000000000000000000

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