Finite Group Databasebeta

← Group #10828558

Character table — Group #10828558

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222222244448888888888888888888888888812121212121212121616161616161616242424242424242424242424
order122222223444466666661212121244444444448888121212122424242424242424224444441212121212121212222244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1
χ611111111111111111111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111
χ711111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1
χ9111111111111111111111111-1-111-111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ10111111111111111111111111-1-111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ11111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ12111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111
χ13111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ14111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111
χ15111111111111111111111111-1-1-1-11-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ17222222222-2-2-2-22222222-2-2-2-20000200-2000000-2-2220000000022-2-2-2-22200000000000000000000
χ18222222222-2-2-2-22222222-2-2-2-20000200-2000000-2-22200000000-2-22222-2-200000000000000000000
χ19222222222-2-2-2-22222222-2-2-2-20000-200200000022-2-20000000022-2-222-2-200000000000000000000
χ20222222222-2-2-2-22222222-2-2-2-20000-200200000022-2-200000000-2-222-2-22200000000000000000000
χ2122222222-12222-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-1-1-1-1-122222-2-22-2-2-2-2-2-2-1-1-1-11111111100000000-1-111-1-111000000000000
χ2322222222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-222-2-2-222-2-21111-1-1-1-1111100000000-1-11111-1-1000000000000
χ2422222222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222-2-22211111111-1-1-1-100000000-1-1-1-11111000000000000
χ2522222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-222-222-2-2-2-2-22211111111-1-1-1-1000000001111-1-1-1-1000000000000
χ2622222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-22222-2-21111-1-1-1-111110000000011-1-1-1-111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-2-2-2-2-1-1-1-1111111110000000011-1-111-1-1000000000000
χ2822222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-2-22-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000011111111000000000000
χ2922-2-222-2-2222-2-22-2-222-2-2-2-222002i−2i000000000000000000000000002i−2i2i−2i00002i−2i0000002-2000000
χ3022-2-222-2-2222-2-22-2-222-2-2-2-222002i−2i00000000000000000000000000−2i2i−2i2i00002i−2i000000-22000000
χ3122-2-222-2-2222-2-22-2-222-2-2-2-22200−2i2i000000000000000000000000002i−2i2i−2i0000−2i2i000000-22000000
χ3222-2-222-2-2222-2-22-2-222-2-2-2-22200−2i2i00000000000000000000000000−2i2i−2i2i0000−2i2i0000002-2000000
χ3322-2-222-2-22-2-2222-2-222-2-222-2-22-200000000000000000000000000002i−2i−2i2i2-20000000000002i−2i0000
χ3422-2-222-2-22-2-2222-2-222-2-222-2-22-20000000000000000000000000000−2i2i2i−2i2-2000000000000−2i2i0000
χ3522-2-222-2-22-2-2222-2-222-2-222-2-2-2200000000000000000000000000002i−2i−2i2i-22000000000000−2i2i0000
χ3622-2-222-2-22-2-2222-2-222-2-222-2-2-220000000000000000000000000000−2i2i2i−2i-220000000000002i−2i0000
χ372-2-2-22-22222-22-2-2-2-22-2222-22-2000000002-200000000000000002-22-20000002-20000002-200000000
χ382-2-2-22-22222-22-2-2-2-22-2222-22-2000000002-20000000000000000-22-220000002-2000000-2200000000
χ392-2-2-22-22222-22-2-2-2-22-2222-22-200000000-2200000000000000002-22-2000000-22000000-2200000000
χ402-2-2-22-22222-22-2-2-2-22-2222-22-200000000-220000000000000000-22-22000000-220000002-200000000
χ412-2-2-22-2222-22-22-2-2-22-222-22-22000002-200000000000000000002-2-2200000000002-22-20000000000
χ422-2-2-22-2222-22-22-2-2-22-222-22-22000002-20000000000000000000-222-200000000002-2-220000000000
χ432-2-2-22-2222-22-22-2-2-22-222-22-2200000-2200000000000000000002-2-220000000000-22-220000000000
χ442-2-2-22-2222-22-22-2-2-22-222-22-2200000-220000000000000000000-222-20000000000-222-20000000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-222220000400-400000022-2-2000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-222220000-4004000000-2-222000000000000000000000000000000000000
χ47444-4-4-44-44000044-4-4-4-4400000000000000−2i22i2000000−2i2−2i22i22i200000000000000000000000000000000
χ48444-4-4-44-44000044-4-4-4-44000000000000002i2−2i20000002i22i2−2i2−2i200000000000000000000000000000000
χ49444-4-4-44-4-20000-2-22222-200000000000000−2i22i20023−2300i2i2−i2−i2i6i6−i6−i60000000000000000000000000000
χ50444-4-4-44-4-20000-2-22222-200000000000000−2i22i200−232300i2i2−i2−i2−i6−i6i6i60000000000000000000000000000
χ51444-4-4-44-4-20000-2-22222-2000000000000002i2−2i20023−2300−i2−i2i2i2−i6−i6i6i60000000000000000000000000000
χ52444-4-4-44-4-20000-2-22222-2000000000000002i2−2i200−232300−i2−i2i2i2i6i6−i6−i60000000000000000000000000000
χ5344-44-4-4-44400004-44-4-44-400000000000000000000000000000000000000000000000000000000−2i22i2
χ5444-44-4-4-44400004-44-4-44-4000000000000000000000000000000000000000000000000000000002i2−2i2
χ5544-4-444-4-4-244-4-4-222-2-22222-2-2004i−4i0000000000000000000000000000000000−2i2i00000000000000
χ5644-4-444-4-4-244-4-4-222-2-22222-2-200−4i4i00000000000000000000000000000000002i−2i00000000000000
χ5744-4-444-4-4-2-4-444-222-2-222-2-2224-400000000000000000000000000000000-22000000000000000000
χ5844-4-444-4-4-2-4-444-222-2-222-2-222-44000000000000000000000000000000002-2000000000000000000
χ594-4444-4-4-444-4-44-4444-4-4-4-444-4000000000000000000000000000000000000000000000000000000
χ604-4444-4-4-44-444-4-4444-4-4-44-4-44000000000000000000000000000000000000000000000000000000
χ614-4444-4-4-4-24-4-442-2-2-22222-2-22000000000000000000−2i32i3−2i32i300000000000000000000000000000000
χ624-4444-4-4-4-24-4-442-2-2-22222-2-220000000000000000002i3−2i32i3−2i300000000000000000000000000000000
χ634-4444-4-4-4-2-444-42-2-2-2222-222-20000000000000000000000−2i32i3−2i32i30000000000000000000000000000
χ644-4444-4-4-4-2-444-42-2-2-2222-222-200000000000000000000002i3−2i32i3−2i30000000000000000000000000000
χ654-44-4-44-4440000-44-4-444-4000000000000000022−220000000022−22−22220000000000000000000000000000
χ664-44-4-44-4440000-44-4-444-40000000000000000−222200000000−222222−220000000000000000000000000000
χ674-44-4-44-44-200002-222-2-22000000000000000022−220023−236−6−66−222−20000000000000000000000000000
χ684-44-4-44-44-200002-222-2-22000000000000000022−2200−2323−666−6−222−20000000000000000000000000000
χ694-44-4-44-44-200002-222-2-220000000000000000−22220023−23−666−62−2−220000000000000000000000000000
χ704-44-4-44-44-200002-222-2-220000000000000000−222200−23236−6−662−2−220000000000000000000000000000
χ714-4-44-444-440000-4-44-44-4400000000000000000000000000000000000000000000000000000022−2200
χ724-4-44-444-440000-4-44-44-44000000000000000000000000000000000000000000000000000000−222200
χ734-4-4-44-444-24-44-4222-22-2-2-22-22000000004-400000000000000000000000000-220000000000000000
χ744-4-4-44-444-24-44-4222-22-2-2-22-2200000000-44000000000000000000000000002-20000000000000000
χ754-4-4-44-444-2-44-44222-22-2-22-22-2000004-4000000000000000000000000000000000-22000000000000
χ764-4-4-44-444-2-44-44222-22-2-22-22-200000-440000000000000000000000000000000002-2000000000000
χ7788-88-8-8-88-40000-44-444-440000000000000000000000000000000000000000000000000000000000
χ788-8-88-888-8-4000044-44-44-40000000000000000000000000000000000000000000000000000000000

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