Finite Group Databasebeta

← Group #10826326

Character table — Group #10826326

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111222222222222444444888888888888888888888881212121212121212121216161616161616161624242424242424242448
order122222223444466666662212121212222244466888812122424242424242424222222444446666121212122244488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-111-1-111-1-1111-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111111
χ511111111111111111111111111-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-1-11111-1-1-11111-1
χ611111111111111111111111111-1-111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-1111-1-1-1-11
χ711111111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11
χ811111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1
χ911111111111111111111-1-111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-11111-1-1-1-1-1-1-111-1-111-1
χ1011111111111111111111-1-111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1111-1-111-1-11
χ1111111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111111-1-1-1-111-1-1-1-1-111-1-11
χ1211111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-11111111-1-111-1
χ1311111111111111111111-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-11111-1-1-1-11-1-1-1-1111
χ1411111111111111111111-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-11111-1-111-11111-1-1-1
χ1511111111111111111111-1-11111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11-1-1-1-11111-1-111111-1-1-1
χ1611111111111111111111-1-11111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1111111-1-1-1-1-1111
χ17222222222-2-2-2-2222222222-2-2-2-2000000-2220000-2-20000000000002222-2-200000000000-20000000
χ18222222222-2-2-2-2222222222-2-2-2-2000000-2220000-2-2000000000000-2-2-2-2220000000000020000000
χ19222222222-2-2-2-22222222-2-2-2-2-2-20000002-2-200002200000000000022-2-2-2-20000000000020000000
χ20222222222-2-2-2-22222222-2-2-2-2-2-20000002-2-2000022000000000000-2-2222200000000000-20000000
χ2122222222-12222-1-1-1-1-1-1-122-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-100000000002-1-1-1-1-1-1-1-10000000000
χ2222222222-12222-1-1-1-1-1-1-122-1-1-1-122-2-2222-1-1-2-2-2-2-1-1111111110000000000-2-1-111-1-1110000000000
χ2322222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-222-2-22-1-1-2-2-2-2-1-1111111110000000000211-1-111-1-10000000000
χ2422222222-12222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-22-1-12222-1-1-1-1-1-1-1-1-1-10000000000-2111111110000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-12222-2-2-211-2-22211-1-1-1-111110000000000-2-1-1-1-111110000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-122-2-2-2-2-21122-2-2111111-1-1-1-100000000002-1-11111-1-10000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-22222-21122-2-2111111-1-1-1-10000000000-211-1-1-1-1110000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-222-211-2-22211-1-1-1-11111000000000021111-1-1-1-10000000000
χ2922-22-2-2-222-2-2222-2-2-222-2002-22-2002-2000000000000000000022-2-20000000002-2000000000002-20
χ3022-22-2-2-222-2-2222-2-2-222-2002-22-2002-20000000000000000000-2-2220000000002-200000000000-220
χ3122-22-2-2-222-2-2222-2-2-222-2002-22-200-22000000000000000000022-2-2000000000-2200000000000-220
χ3222-22-2-2-222-2-2222-2-2-222-2002-22-200-220000000000000000000-2-222000000000-22000000000002-20
χ332-22-2-2-2222-22-22-222-22-2-200-2-222000000000002-20022-2-200002-22-20000000000000000002-200000
χ342-22-2-2-2222-22-22-222-22-2-200-2-222000000000002-20022-2-20000-22-22000000000000000000-2200000
χ352-22-2-2-2222-22-22-222-22-2-200-2-22200000000000-2200-2-22200002-22-2000000000000000000-2200000
χ362-22-2-2-2222-22-22-222-22-2-200-2-22200000000000-2200-2-2220000-22-220000000000000000002-200000
χ372-2-2-222-2222-2-22-2-2-222-2200-222-22-20000000000000000000002-2-222-2002-202-20000000000000000
χ382-2-2-222-2222-2-22-2-2-222-2200-222-22-2000000000000000000000-222-2-2200-2202-20000000000000000
χ392-2-2-222-2222-2-22-2-2-222-2200-222-2-220000000000000000000002-2-22-2200-220-220000000000000000
χ402-2-2-222-2222-2-22-2-2-222-2200-222-2-22000000000000000000000-222-22-2002-20-220000000000000000
χ412-2-2-222-222-222-2-2-2-222-22002-2-2200002-20000000000000000000002-200-22000002-2002-200000000
χ422-2-2-222-222-222-2-2-2-222-22002-2-2200002-2000000000000000000000-22002-2000002-200-2200000000
χ432-2-2-222-222-222-2-2-2-222-22002-2-220000-220000000000000000000002-200-2200000-2200-2200000000
χ442-2-2-222-222-222-2-2-2-222-22002-2-220000-22000000000000000000000-22002-200000-22002-200000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-2442222000000-4-2-20000220000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2-4-422220000004220000-2-20000000000000000000000000000000000000
χ47444-44-4-4-44000044-44-4-4-4000000000000000−2i22i200000000−2i2−2i22i22i200000000000000000000000000000
χ48444-44-4-4-44000044-44-4-4-40000000000000002i2−2i2000000002i22i2−2i2−2i200000000000000000000000000000
χ49444-44-4-4-4-20000-2-22-2222000000000000000−2i22i20023−23i6−i6i6−i6i2i2−i2−i200000000000000000000000000000
χ50444-44-4-4-4-20000-2-22-2222000000000000000−2i22i200−2323−i6i6−i6i6i2i2−i2−i200000000000000000000000000000
χ51444-44-4-4-4-20000-2-22-22220000000000000002i2−2i20023−23−i6i6−i6i6−i2−i2i2i200000000000000000000000000000
χ52444-44-4-4-4-20000-2-22-22220000000000000002i2−2i200−2323i6−i6i6−i6−i2−i2i2i200000000000000000000000000000
χ5344-44-4-4-44444-4-44-4-4-444-400-44-440000000000000000000000000000000000000000000000000000
χ5444-44-4-4-44-244-4-4-2222-2-22002-22-20000000000000000000000000000000000000000−2i32i30000000000
χ5544-44-4-4-44-244-4-4-2222-2-22002-22-200000000000000000000000000000000000000002i3−2i30000000000
χ5644-44-4-4-44-2-4-444-2222-2-2200-22-22004-400000000000000000000000000000000-2200000000000000
χ5744-44-4-4-44-2-4-444-2222-2-2200-22-2200-44000000000000000000000000000000002-200000000000000
χ5844-4-4-444-4400004-44-4-4-44000000000000000000000000000000000004-4000000000000000000000
χ5944-4-4-444-4400004-44-4-4-4400000000000000000000000000000000000-44000000000000000000000
χ604-444-44-4-440000-44-4-4-4444-4000000000004-40000000000000000000000000000000000000000000
χ614-444-44-4-440000-44-4-4-444-4400000000000-440000000000000000000000000000000000000000000
χ624-444-44-4-4-200002-2222-2-24-400000000000-22000000i6−i6−i6i6i6−i6i6−i600000000000000000000000000000
χ634-444-44-4-4-200002-2222-2-24-400000000000-22000000−i6i6i6−i6−i6i6−i6i600000000000000000000000000000
χ644-444-44-4-4-200002-2222-2-2-44000000000002-2000000i6−i6−i6i6−i6i6−i6i600000000000000000000000000000
χ654-444-44-4-4-200002-2222-2-2-44000000000002-2000000−i6i6i6−i6i6−i6i6−i600000000000000000000000000000
χ664-44-4-4-44444-44-4-444-44-4-40044-4-40000000000000000000000000000000000000000000000000000
χ674-44-4-4-444-24-44-42-2-22-22200-2-222000000000000000000023−23−232300000000000000000000000000000
χ684-44-4-4-444-24-44-42-2-22-22200-2-2220000000000000000000−232323−2300000000000000000000000000000
χ694-44-4-4-444-2-44-442-2-22-2220022-2-2000000000004-400-2-222000000000000000000000000000000000
χ704-44-4-4-444-2-44-442-2-22-2220022-2-200000000000-440022-2-2000000000000000000000000000000000
χ714-4-444-44-440000-4-444-44-40000000000000000000000000000000000000000000000000000022−22000
χ724-4-444-44-440000-4-444-44-400000000000000000000000000000000000000000000000000000−2222000
χ734-4-4-444-44-24-4-44222-2-22-2002-2-224-400000000000000000000000000000000-220000000000000000
χ744-4-4-444-44-24-4-44222-2-22-2002-2-22-44000000000000000000000000000000002-20000000000000000
χ754-4-4-444-44-2-444-4222-2-22-200-222-200004-400000000000000000000000000000000-22000000000000
χ764-4-4-444-44-2-444-4222-2-22-200-222-20000-44000000000000000000000000000000002-2000000000000
χ7788-8-8-888-8-40000-44-4444-40000000000000000000000000000000000000000000000000000000000
χ788-8-888-88-8-4000044-4-44-440000000000000000000000000000000000000000000000000000000000

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