Finite Group Databasebeta

← Group #10827622

Character table — Group #10827622

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222224444444488888888888888888888121212121212121216161616161616161616242424242424242424242424
order1222222234444666666622441212121244446688881212242424242424242422444444441212121212121212444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ61111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ71111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1
χ81111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111
χ911111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111-11111-1-1-1-1-1-1-1111-1-111-1-1
χ1011111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1111-1-1-111-1-111
χ1111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1111-1-111-1-1-1-1-11-1-111-1-111
χ1211111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1-111-1-1111-111-1-111-1-1
χ1311111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1111111-11-1-11111-1-1
χ1411111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-1-11111-1-11-111-1-1-1-111
χ1511111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-111-1-11111-1111-1-1-1-111
χ1611111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111111-1-1-111-1-111-1-11-1-1-11111-1-1
χ17222222222-2-2-2-2222222222-2-2-2-2-2-20000220000-2-20000000022-2-200000000000000002-200000000
χ18222222222-2-2-2-2222222222-2-2-2-2-2-20000220000-2-200000000-2-2220000000000000000-2200000000
χ19222222222-2-2-2-22222222-2-222-2-2-2-20000-2-20000220000000022220000000000000000-2-200000000
χ20222222222-2-2-2-22222222-2-222-2-2-2-20000-2-200002200000000-2-2-2-200000000000000002200000000
χ2122222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-2-2-2-2-1-11111111100000000-2-2-1-11111-1-1000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-100000000-2-211111111000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-111111111000000002211-1-1-1-111000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-21122-2-211-1-1-1-11111000000002-2-1-1-1-11111000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-2-211-2-222111111-1-1-1-100000000-22-1-111-1-111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-2221122-2-211-1-1-1-1111100000000-221111-1-1-1-1000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-22211-2-222111111-1-1-1-1000000002-211-1-111-1-1000000000000
χ2922-22-2-2-2222-22-22-2-22-2-22000022-2-2000000002i−2i0000002i2i−2i−2i00002i2i−2i−2i00000000000000002-20000
χ3022-22-2-2-2222-22-22-2-22-2-22000022-2-2000000002i−2i0000002i2i−2i−2i0000−2i−2i2i2i0000000000000000-220000
χ3122-22-2-2-2222-22-22-2-22-2-22000022-2-200000000−2i2i000000−2i−2i2i2i00002i2i−2i−2i0000000000000000-220000
χ3222-22-2-2-2222-22-22-2-22-2-22000022-2-200000000−2i2i000000−2i−2i2i2i0000−2i−2i2i2i00000000000000002-20000
χ332-22-22-2-2222-2-22-22-2-22-2200002-22-20000002i−2i00002i2i−2i−2i000000002i−2i2i−2i000000000000002-2000000
χ342-22-22-2-2222-2-22-22-2-22-2200002-22-20000002i−2i00002i2i−2i−2i00000000−2i2i−2i2i00000000000000-22000000
χ352-22-22-2-2222-2-22-22-2-22-2200002-22-2000000−2i2i0000−2i−2i2i2i000000002i−2i2i−2i00000000000000-22000000
χ362-22-22-2-2222-2-22-22-2-22-2200002-22-2000000−2i2i0000−2i−2i2i2i00000000−2i2i−2i2i000000000000002-2000000
χ372-2-2-2-2222222-2-2-2-22-2-2222-22-22-2-2200002-200002-20000000000002-2-2200000000002-20000000000
χ382-2-2-2-2222222-2-2-2-22-2-2222-22-22-2-2200002-200002-2000000000000-222-20000000000-220000000000
χ392-2-2-2-2222222-2-2-2-22-2-222-22-222-2-220000-220000-220000000000002-2-220000000000-220000000000
χ402-2-2-2-2222222-2-2-2-22-2-222-22-222-2-220000-220000-22000000000000-222-200000000002-20000000000
χ412-2-2-2-22222-2-222-2-22-2-2222-2-22-222-22-22-22-20000-220000000000000000002-200002-2000000000000
χ422-2-2-2-22222-2-222-2-22-2-2222-2-22-222-2-22-222-20000-22000000000000000000-220000-22000000000000
χ432-2-2-2-22222-2-222-2-22-2-222-222-2-222-22-2-22-2200002-20000000000000000002-20000-22000000000000
χ442-2-2-2-22222-2-222-2-22-2-222-222-2-222-2-222-2-2200002-2000000000000000000-2200002-2000000000000
χ452-2-2-2-2222-1-2-22211-111-1-12-2-221-1-112-22-2-1100001-13−33−33−33−30000000000-113−33−3-11000000000000
χ462-2-2-2-2222-1-2-22211-111-1-12-2-221-1-112-22-2-1100001-1−33−33−33−330000000000-11−33−33-11000000000000
χ472-2-2-2-2222-1-2-22211-111-1-12-2-221-1-11-22-22-1100001-13−33−33−33−300000000001-1−33−331-1000000000000
χ482-2-2-2-2222-1-2-22211-111-1-12-2-221-1-11-22-22-1100001-1−33−33−33−3300000000001-13−33−31-1000000000000
χ492-2-2-2-2222-1-2-22211-111-1-1-222-21-1-112-2-221-10000-113−33−3−33−330000000000-113−3−331-1000000000000
χ502-2-2-2-2222-1-2-22211-111-1-1-222-21-1-112-2-221-10000-11−33−333−33−30000000000-11−333−31-1000000000000
χ512-2-2-2-2222-1-2-22211-111-1-1-222-21-1-11-222-21-10000-113−33−3−33−3300000000001-1−333−3-11000000000000
χ522-2-2-2-2222-1-2-22211-111-1-1-222-21-1-11-222-21-10000-11−33−333−33−300000000001-13−3−33-11000000000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-244-4-422220000-2-200002200000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-44422220000220000-2-200000000000000000000000000000000000000
χ55444-4-4-44-44000044-4-4-44-400000000000000000000000000004-40000000000000000000000000000
χ56444-4-4-44-44000044-4-4-44-40000000000000000000000000000-440000000000000000000000000000
χ5744-44-4-4-444-44-444-4-44-4-440000-4-44400000000000000000000000000000000000000000000000000
χ5844-44-4-4-44-24-44-4-222-222-20000-2-222000000004i−4i000000−2i−2i2i2i000000000000000000000000000000
χ5944-44-4-4-44-24-44-4-222-222-20000-2-22200000000−4i4i0000002i2i−2i−2i000000000000000000000000000000
χ6044-44-4-4-44-2-44-44-222-222-2000022-2-2000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ6144-44-4-4-44-2-44-44-222-222-2000022-2-20000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ6244-4-444-4-4400004-44-44-4-40000000000000000000000000000000000000000000000000000000022−22
χ6344-4-444-4-4400004-44-44-4-400000000000000000000000000000000000000000000000000000000−2222
χ644-444-44-4-440000-4444-4-4-400000000000000000000000000000000000000000000000000000022−2200
χ654-444-44-4-440000-4444-4-4-4000000000000000000000000000000000000000000000000000000−222200
χ664-44-44-4-444-444-4-44-4-44-440000-44-4400000000000000000000000000000000000000000000000000
χ674-44-44-4-44-24-4-442-222-22-20000-22-220000004i−4i0000−2i−2i2i2i0000000000000000000000000000000000
χ684-44-44-4-44-24-4-442-222-22-20000-22-22000000−4i4i00002i2i−2i−2i0000000000000000000000000000000000
χ694-44-44-4-44-2-444-42-222-22-200002-22-20000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ704-44-44-4-44-2-444-42-222-22-200002-22-200000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ714-4-444-44-440000-4-4-4444-40000000000000000000000000000004i−4i00000000000000000000000000
χ724-4-444-44-440000-4-4-4444-4000000000000000000000000000000−4i4i00000000000000000000000000
χ734-4-4-4-4444-244-4-422-222-2-24-44-4-222-20000-220000-2200000000000000000000000000000000000000
χ744-4-4-4-4444-244-4-422-222-2-2-44-44-222-200002-200002-200000000000000000000000000000000000000
χ75888-8-8-88-8-40000-4-4444-440000000000000000000000000000000000000000000000000000000000
χ7688-8-888-8-8-40000-44-44-4440000000000000000000000000000000000000000000000000000000000
χ778-888-88-8-8-400004-4-4-44440000000000000000000000000000000000000000000000000000000000
χ788-8-888-88-8-40000444-4-4-440000000000000000000000000000000000000000000000000000000000

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