Finite Group Databasebeta

← Group #10901344

Character table — Group #10901344

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222222224444444444488888888888888888888888888161616161616242424242424242448484848
order12222222223446666666444666612121212222444446666661212121212121212121212124412121212224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ4111111111111111111111111111111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ51111111111111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-11-111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-11-1-11111-1-1
χ911111111111-1-11111111-1-1-11111-1-1-1-1111-1-1-11-1111111-1-1-1-1-1-1-1-111-1-11-111-1-11-1-111-11-11-11-1
χ1011111111111-1-11111111-1-1-11111-1-1-1-1111-1-1-11-1111111-1-1-1-1-1-1-1-111-1-11-111-1-1-111-1-11-11-11-11
χ1111111111111-1-11111111-1-1-11111-1-1-1-111-11-1-1-111111-1-111-1-1-1-1-1-1-1-111-11-1-11111-1-11-1-111-1-11
χ1211111111111-1-11111111-1-1-11111-1-1-1-111-11-1-1-111111-1-111-1-1-1-1-1-1-1-111-11-1-111-1-111-111-1-111-1
χ1311111111111-1-11111111-1-1-11111-1-1-1-1-1-11-1111-1-1-1-1-111-1-1-1-1111111-1-1-11-1-1111-1-111-11-1-11-11
χ1411111111111-1-11111111-1-1-11111-1-1-1-1-1-11-1111-1-1-1-1-111-1-1-1-1111111-1-1-11-1-111-111-1-11-111-11-1
χ1511111111111-1-11111111-1-1-11111-1-1-1-1-1-1-1111-11-1-1-1-1-1-111-1-11111-1-1111-111-1-111-1-11-1-11-111-1
χ1611111111111-1-11111111-1-1-11111-1-1-1-1-1-1-1111-11-1-1-1-1-1-111-1-11111-1-1111-111-1-1-1-111-111-11-1-11
χ172222222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ182222222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-1-1-11111-2-21111000000000000
χ192222222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1-1-11111-1-1-1-1-2-21111000000000000
χ202222222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-11111111122-1-1-1-1000000000000
χ212222222222-1-2-2-1-1-1-1-1-1-1-2-2-2-1-1-1-11111222-2-2-22-2-1-1-1-1-1-111111111-1-1112-2-1-111000000000000
χ222222222222-1-2-2-1-1-1-1-1-1-1-2-2-2-1-1-1-1111122-22-2-2-22-1-1-1-111-1-111111111-1-1-2211-1-1000000000000
χ232222222222-1-2-2-1-1-1-1-1-1-1-2-2-2-1-1-1-11111-2-22-2222-21111-1-11111-1-1-1-1-1-111-2211-1-1000000000000
χ242222222222-1-2-2-1-1-1-1-1-1-1-2-2-2-1-1-1-11111-2-2-2222-22111111-1-111-1-1-1-111-1-12-2-1-111000000000000
χ2522222-2-22-2-222222222222-2-2-2-2-2-22222002-200-22000022-2-2-2-20000-2-222000000000000000000
χ2622222-2-22-2-222222222222-2-2-2-2-2-2222200-22002-20000-2-222-2-2000022-2-2000000000000000000
χ2722222-2-22-2-22-2-22222222-222-2-2-2-2-2-2-2-2002200-2-200002222220000-2-2-2-2000000000000000000
χ2822222-2-22-2-22-2-22222222-222-2-2-2-2-2-2-2-200-2-200220000-2-2-2-22200002222000000000000000000
χ2922222-2-22-2-2-122-1-1-1-1-1-1-12-2-21111-1-1-1-1002-200-22−i3−i3i3i3-1-11111−i3−i3i3i311-1-100−i3i3−i3i3000000000000
χ3022222-2-22-2-2-122-1-1-1-1-1-1-12-2-21111-1-1-1-1002-200-22i3i3−i3−i3-1-11111i3i3−i3−i311-1-100i3−i3i3−i3000000000000
χ3122222-2-22-2-2-122-1-1-1-1-1-1-12-2-21111-1-1-1-100-22002-2−i3−i3i3i311-1-111−i3−i3i3i3-1-11100i3−i3i3−i3000000000000
χ3222222-2-22-2-2-122-1-1-1-1-1-1-12-2-21111-1-1-1-100-22002-2i3i3−i3−i311-1-111i3i3−i3−i3-1-11100−i3i3−i3i3000000000000
χ3322222-2-22-2-2-1-2-2-1-1-1-1-1-1-1-22211111111002200-2-2−i3−i3i3i3-1-1-1-1-1-1i3i3−i3−i3111100−i3i3i3−i3000000000000
χ3422222-2-22-2-2-1-2-2-1-1-1-1-1-1-1-22211111111002200-2-2i3i3−i3−i3-1-1-1-1-1-1−i3−i3i3i3111100i3−i3−i3i3000000000000
χ3522222-2-22-2-2-1-2-2-1-1-1-1-1-1-1-2221111111100-2-20022−i3−i3i3i31111-1-1i3i3−i3−i3-1-1-1-100i3−i3−i3i3000000000000
χ3622222-2-22-2-2-1-2-2-1-1-1-1-1-1-1-2221111111100-2-20022i3i3−i3−i31111-1-1−i3−i3i3i3-1-1-1-100−i3i3i3−i3000000000000
χ372222-22-2-22-2222-2-22-2-222-22-222-2-222-2-200000000000000002-200000000000000020-2002-20000
χ382222-22-2-22-2222-2-22-2-222-22-222-2-222-2-200000000000000002-2000000000000000-20200-220000
χ392222-22-2-22-22-2-2-2-22-2-2222-2222-2-2-2-2220000000000000000-2200000000000000020200-2-20000
χ402222-22-2-22-22-2-2-2-22-2-2222-2222-2-2-2-2220000000000000000-22000000000000000-20-200220000
χ412222-2-22-2-22222-2-22-2-222-2-22-2-22222-2-20000000000000000-220000000000000020-20-22000000
χ422222-2-22-2-22222-2-22-2-222-2-22-2-22222-2-20000000000000000-2200000000000000-20202-2000000
χ432222-2-22-2-222-2-2-2-22-2-22222-2-2-222-2-22200000000000000002-2000000000000002020-2-2000000
χ442222-2-22-2-222-2-2-2-22-2-22222-2-2-222-2-22200000000000000002-200000000000000-20-2022000000
χ454444-44-4-44-4-24422-222-2-2-44-4-2-222-2-2220000000000000000-2200000000000000000000000000
χ464444-44-4-44-4-2-4-422-222-2-24-44-2-22222-2-200000000000000002-200000000000000000000000000
χ474444-4-44-4-44-24422-222-2-2-4-4422-2-2-2-22200000000000000002-200000000000000000000000000
χ484444-4-44-4-44-2-4-422-222-2-244-422-2-222-2-20000000000000000-2200000000000000000000000000
χ4944-4-400000044i−4i00400-4-400000004i−4i002-2002i−2i002-22-20000002i−2i2i−2i0000000000000000000000
χ5044-4-400000044i−4i00400-4-400000004i−4i00-2200−2i2i00-22-22000000−2i2i−2i2i0000000000000000000000
χ5144-4-40000004−4i4i00400-4-40000000−4i4i002-200−2i2i002-22-2000000−2i2i−2i2i0000000000000000000000
χ5244-4-40000004−4i4i00400-4-40000000−4i4i00-22002i−2i00-22-220000002i−2i2i−2i0000000000000000000000
χ5344-4-4000000-24i−4i−2i32i3-2−2i32i3220000000−2i2i23−232-2002i−2i00−1−i31+i3−1+i31−i30000002ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ5444-4-4000000-24i−4i−2i32i3-2−2i32i3220000000−2i2i23−23-2200−2i2i001+i3−1−i31−i3−1+i3000000−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ5544-4-4000000-24i−4i2i3−2i3-22i3−2i3220000000−2i2i−23232-2002i−2i00−1+i31−i3−1−i31+i30000002ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ5644-4-4000000-24i−4i2i3−2i3-22i3−2i3220000000−2i2i−2323-2200−2i2i001−i3−1+i31+i3−1−i3000000−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ5744-4-4000000-2−4i4i−2i32i3-2−2i32i32200000002i−2i−23232-200−2i2i00−1−i31+i3−1+i31−i3000000−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ5844-4-4000000-2−4i4i−2i32i3-2−2i32i32200000002i−2i−2323-22002i−2i001+i3−1−i31−i3−1+i30000002ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ5944-4-4000000-2−4i4i2i3−2i3-22i3−2i32200000002i−2i23−232-200−2i2i00−1+i31−i3−1−i31+i3000000−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ6044-4-4000000-2−4i4i2i3−2i3-22i3−2i32200000002i−2i23−23-22002i−2i001−i3−1+i31+i3−1−i30000002ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ614-44-4444-4-4-440044-4-4-44-40004-44-4000000000000000000000000000000000000000000000000
χ624-44-4444-4-4-4-200-2-2222-22000-22-2200000000000000000023−230000000023−23000000000000000000
χ634-44-4444-4-4-4-200-2-2222-22000-22-22000000000000000000−232300000000−2323000000000000000000
χ644-44-44-4-4-44440044-4-4-44-4000-44-44000000000000000000000000000000000000000000000000
χ654-44-44-4-4-444-200-2-2222-220002-22-200000000000000000023−2300000000−2323000000000000000000
χ664-44-44-4-4-444-200-2-2222-220002-22-2000000000000000000−23230000000023−23000000000000000000
χ674-44-4-44-44-44400-4-4-4444-40004-4-44000000000000000000000000000000000000000000000000
χ684-44-4-44-44-44-200222-2-2-22000-222-20000000000000000−2i32i300000000−2i32i300000000000000000000
χ694-44-4-44-44-44-200222-2-2-22000-222-200000000000000002i3−2i3000000002i3−2i300000000000000000000
χ704-44-4-4-4444-4400-4-4-4444-4000-444-4000000000000000000000000000000000000000000000000
χ714-44-4-4-4444-4-200222-2-2-220002-2-220000000000000000−2i32i3000000002i3−2i300000000000000000000
χ724-44-4-4-4444-4-200222-2-2-220002-2-2200000000000000002i3−2i300000000−2i32i300000000000000000000
χ738-8-8800000080000-800-880000000000000000000000000000000000000000000000000000000
χ748-8-88000000-400−4i34i344i3−4i34-40000000000000000000000000000000000000000000000000000000
χ758-8-88000000-4004i3−4i34−4i34i34-40000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.