Finite Group Databasebeta

← Group #10901352

Character table — Group #10901352

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222222222444444444488888888888888888888888888121212121212121216161616161624242424242424244848
order12222222344444444666666644121212121212121222446666888812121212121224242424242424242244444444121212122244888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-11-1
χ1011111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ1111111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-111-1-111-11
χ1211111111111-1-1-1-1111111111-1-1111-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-11-1
χ1311111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-1-11
χ1411111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1111-1
χ1511111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11-111-1-111-1-1-1-1111-1
χ1611111111111-1-1-1-1111111111-1-1111-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-1-11111-1-1-11
χ17222222222-2-22222-2-22222222-2-2-2-2-22222-2000000000000-2-200000000000022-2-2-2-2220000000000000000
χ18222222222-2-22222-2-22222222-2-2-2-2-22222-2000000000000-2-2000000000000-2-22222-2-20000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-20000000000002200000000000022-2-222-2-20000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-200000000000022000000000000-2-222-2-2220000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-10000000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-2-211110000000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211112222-1-11111-1-1-1-1-1-1-1-100000000-2-211110000000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-11111111111110000000022-1-1-1-10000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-122-2-2-1-1-1-122-2-2111111-1-1-1-11111000000002-2-1-1110000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-122-2-2-1-1-1-1-2-2221111111111-1-1-1-100000000-2211-1-10000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-1-2-222111122-2-211-1-1-1-1-1-1-1-1111100000000-2211-1-10000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-1-11111-1-2-2221111-2-22211-1-1-1-11111-1-1-1-1000000002-2-1-1110000000000
χ2922-2-22-2-2220022-2-2002-2-2-2-2220000022-2-20000000002−22−200000022−2−222−2−22-200002-200000000002−22−200
χ3022-2-22-2-2220022-2-2002-2-2-2-2220000022-2-20000000002−22−200000022−2−222−2−2-220000-220000000000−22−2200
χ3122-2-22-2-2220022-2-2002-2-2-2-2220000022-2-2000000000−22−22000000−2−222−2−2222-200002-20000000000−22−2200
χ3222-2-22-2-2220022-2-2002-2-2-2-2220000022-2-2000000000−22−22000000−2−222−2−222-220000-2200000000002−22−200
χ3322-2-22-2-22200-2-222002-2-2-2-22200000-2-2220000000002−2−2200000022−2−2−2−2222-20000-2200000000002−2−2200
χ3422-2-22-2-22200-2-222002-2-2-2-22200000-2-2220000000002−2−2200000022−2−2−2−222-2200002-20000000000−222−200
χ3522-2-22-2-22200-2-222002-2-2-2-22200000-2-222000000000−222−2000000−2−22222−2−22-20000-220000000000−222−200
χ3622-2-22-2-22200-2-222002-2-2-2-22200000-2-222000000000−222−2000000−2−22222−2−2-2200002-200000000002−2−2200
χ372-2-2-2-222222-22-22-22-2-2-2-2222-22-22-2-22-22-220000000000002-2000000000000000000000000002-22-2000000
χ382-2-2-2-222222-22-22-22-2-2-2-2222-22-22-2-22-22-220000000000002-200000000000000000000000000-22-22000000
χ392-2-2-2-222222-2-22-222-2-2-2-2222-2-222-2-2-22-222000000000000-22000000000000000000000000002-2-22000000
χ402-2-2-2-222222-2-22-222-2-2-2-2222-2-222-2-2-22-222000000000000-2200000000000000000000000000-222-2000000
χ412-2-2-2-22222-222-22-2-22-2-2-2222-2-22-2222-22-2-22-22-222-2-20000-2222-2-200000000000000000000000000000000
χ422-2-2-2-22222-222-22-2-22-2-2-2222-2-22-2222-22-2-2-22-22-2-2220000-22-2-22200000000000000000000000000000000
χ432-2-2-2-22222-22-22-22-22-2-2-2222-22-2-222-22-22-22-2-2222-2-200002-2-2-22200000000000000000000000000000000
χ442-2-2-2-22222-22-22-22-22-2-2-2222-22-2-222-22-22-2-222-2-2-22200002-222-2-200000000000000000000000000000000
χ452-2-2-2-2222-1-222-22-2-22111-1-1-11-221-1-1-11-1112-22-2-1-11100001-1-1-1113−33−33−33−300000000003−33−30000000000
χ462-2-2-2-2222-1-222-22-2-22111-1-1-11-221-1-1-11-1112-22-2-1-11100001-1-1-111−33−33−33−330000000000−33−330000000000
χ472-2-2-2-2222-1-222-22-2-22111-1-1-11-221-1-1-11-111-22-2211-1-100001-111-1-13−33−33−33−30000000000−33−330000000000
χ482-2-2-2-2222-1-222-22-2-22111-1-1-11-221-1-1-11-111-22-2211-1-100001-111-1-1−33−33−33−3300000000003−33−30000000000
χ492-2-2-2-2222-1-22-22-22-22111-1-1-112-21-1-11-11-112-2-22-1-1110000-1111-1-13−33−3−33−3300000000003−3−330000000000
χ502-2-2-2-2222-1-22-22-22-22111-1-1-112-21-1-11-11-112-2-22-1-1110000-1111-1-1−33−333−33−30000000000−333−30000000000
χ512-2-2-2-2222-1-22-22-22-22111-1-1-112-21-1-11-11-11-222-211-1-10000-11-1-1113−33−3−33−330000000000−333−30000000000
χ522-2-2-2-2222-1-22-22-22-22111-1-1-112-21-1-11-11-11-222-211-1-10000-11-1-111−33−333−33−300000000003−3−330000000000
χ5344444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-4222-2-2-2-2200000000000022000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24422222222000000000000-2-2000000000000000000000000000000000000
χ55444-4-44-4-440000000044-44-4-4-400000000000000000000000000000000000000004-4000000000000000000
χ56444-4-44-4-440000000044-44-4-4-40000000000000000000000000000000000000000-44000000000000000000
χ5744-44-4-44-444-40000-444-44-44-4-40044-40000-400000000000000000000000000000000000000000000000000
χ5844-44-4-44-44-4400004-44-44-44-4-400-4-440000400000000000000000000000000000000000000000000000000
χ5944-44-4-44-4-24-40000-44-22-22-22200-2-22000020000−2i32i3−2i32i3000000000000000000000000000000000000000000
χ6044-44-4-44-4-24-40000-44-22-22-22200-2-220000200002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ6144-44-4-44-4-2-4400004-4-22-22-2220022-20000-20000000000000023−2323−2300000000000000000000000000000000
χ6244-44-4-44-4-2-4400004-4-22-22-2220022-20000-200000000000000−2323−232300000000000000000000000000000000
χ6344-4-44-4-44-20044-4-400-22222-2-200000-2-22200000000022−2222−22000000−2−222−2−222000000000000000000000000
χ6444-4-44-4-44-20044-4-400-22222-2-200000-2-222000000000−2222−222200000022−2−222−2−2000000000000000000000000
χ6544-4-44-4-44-200-4-44400-22222-2-20000022-2-200000000022−22−2222000000−2−22222−2−2000000000000000000000000
χ6644-4-44-4-44-200-4-44400-22222-2-20000022-2-2000000000−222222−2200000022−2−2−2−222000000000000000000000000
χ674-444-4-4-444004-4-4400-444-4-44-4000004-4-44000000000000000000000000000000000000000000000000000
χ684-444-4-4-44400-444-400-444-4-44-400000-444-4000000000000000000000000000000000000000000000000000
χ694-444-4-4-44-2004-4-44002-2-222-2200000-222-200000000000000000006−6−666−6−66000000000000000000000000
χ704-444-4-4-44-2004-4-44002-2-222-2200000-222-20000000000000000000−666−6−666−6000000000000000000000000
χ714-444-4-4-44-200-444-4002-2-222-22000002-2-2200000000000000000006−6−66−666−6000000000000000000000000
χ724-444-4-4-44-200-444-4002-2-222-22000002-2-220000000000000000000−666−66−6−66000000000000000000000000
χ734-44-44-44-44440000-4-4-44-4-44-44004-440000-400000000000000000000000000000000000000000000000000
χ744-44-44-44-44-4-4000044-44-4-44-4400-44-40000400000000000000000000000000000000000000000000000000
χ754-44-44-44-4-2440000-4-42-222-22-200-22-2000020000000000000023−23−232300000000000000000000000000000000
χ764-44-44-44-4-2440000-4-42-222-22-200-22-20000200000000000000−232323−2300000000000000000000000000000000
χ774-44-44-44-4-2-4-40000442-222-22-2002-220000-20000−2i32i32i3−2i3000000000000000000000000000000000000000000
χ784-44-44-44-4-2-4-40000442-222-22-2002-220000-200002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ794-4-4444-4-4400000000-4-444-4-44000000000000000000000000000000000000004i−4i00000000000000000000
χ804-4-4444-4-4400000000-4-444-4-4400000000000000000000000000000000000000−4i4i00000000000000000000
χ814-4-4-4-4444-24-44-44-44-4222-2-2-224-4-222-22-22-2000000000000-22000000000000000000000000000000000000
χ824-4-4-4-4444-24-4-44-444-4222-2-2-22-44-2222-22-2-20000000000002-2000000000000000000000000000000000000
χ83888-8-88-8-8-400000000-4-44-4444000000000000000000000000000000000000000000000000000000000000
χ848-8-8888-8-8-40000000044-4-444-4000000000000000000000000000000000000000000000000000000000000

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