Finite Group Databasebeta

← Group #10896425

Character table — Group #10896425

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222222244448888888888888888888888888812121212121212121616161616161616242424242424242424242424
order122222223444466666661212121244444444448888121212122424242424242424444444441212121212121212224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ511111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1
χ9111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ10111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111
χ11111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ14111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1
χ15111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ16111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111
χ17222222222-2-2-2-22222222-2-2-2-2002-2000000000022-2-20000000022-2-222-2-200000000000000000000
χ18222222222-2-2-2-22222222-2-2-2-2002-2000000000022-2-200000000-2-222-2-22200000000000000000000
χ19222222222-2-2-2-22222222-2-2-2-200-220000000000-2-2220000000022-2-2-2-22200000000000000000000
χ20222222222-2-2-2-22222222-2-2-2-200-220000000000-2-22200000000-2-22222-2-200000000000000000000
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
χ2222222222-12222-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-11111111100000000-1-1-1-11111000000000000
χ2322222222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-222-2-21111-1-1-1-1111100000000-1-111-1-111000000000000
χ2422222222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222-2-22211111111-1-1-1-100000000-1-11111-1-1000000000000
χ2522222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-222-2-22222-2-2-2-2-1-1-1-111111111000000001111-1-1-1-1000000000000
χ2622222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000000011111111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22211111111-1-1-1-10000000011-1-1-1-111000000000000
χ2822222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-22222-2-21111-1-1-1-111110000000011-1-111-1-1000000000000
χ292222-2-2-2-2222-2-222-2-2-22-222-2-22-20000000000000000000000002-22-200002-20000002-20000000000
χ302222-2-2-2-2222-2-222-2-2-22-222-2-22-2000000000000000000000000-22-2200002-2000000-220000000000
χ312222-2-2-2-2222-2-222-2-2-22-222-2-2-220000000000000000000000002-22-20000-22000000-220000000000
χ322222-2-2-2-2222-2-222-2-2-22-222-2-2-22000000000000000000000000-22-220000-220000002-20000000000
χ332222-2-2-2-22-2-22222-2-2-22-2-2-22200002i−2i000000000000000000002-2-220000002i−2i00000000002i−2i0000
χ342222-2-2-2-22-2-22222-2-2-22-2-2-22200002i−2i00000000000000000000-222-20000002i−2i0000000000−2i2i0000
χ352222-2-2-2-22-2-22222-2-2-22-2-2-2220000−2i2i000000000000000000002-2-22000000−2i2i0000000000−2i2i0000
χ362222-2-2-2-22-2-22222-2-2-22-2-2-2220000−2i2i00000000000000000000-222-2000000−2i2i00000000002i−2i0000
χ3722-2-2-222-222-22-2-2-2-2222-22-22-2000000002i−2i000000000000000000002i−2i2i−2i0000002i−2i002-200000000
χ3822-2-2-222-222-22-2-2-2-2222-22-22-2000000002i−2i00000000000000000000−2i2i−2i2i0000002i−2i00-2200000000
χ3922-2-2-222-222-22-2-2-2-2222-22-22-200000000−2i2i000000000000000000002i−2i2i−2i000000−2i2i00-2200000000
χ4022-2-2-222-222-22-2-2-2-2222-22-22-200000000−2i2i00000000000000000000−2i2i−2i2i000000−2i2i002-200000000
χ4122-2-2-222-22-22-22-2-2-2222-2-22-220000002i−2i00000000000000000000002i−2i−2i2i00002i−2i0000002-2000000
χ4222-2-2-222-22-22-22-2-2-2222-2-22-220000002i−2i0000000000000000000000−2i2i2i−2i00002i−2i000000-22000000
χ4322-2-2-222-22-22-22-2-2-2222-2-22-22000000−2i2i00000000000000000000002i−2i−2i2i0000−2i2i000000-22000000
χ4422-2-2-222-22-22-22-2-2-2222-2-22-22000000−2i2i0000000000000000000000−2i2i2i−2i0000−2i2i0000002-2000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-22222004-40000000000-2-222000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2222200-44000000000022-2-2000000000000000000000000000000000000
χ474444-4-4-4-4-244-4-4-2-2222-22-2-2224-400000000000000000000000000000000-22000000000000000000
χ484444-4-4-4-4-244-4-4-2-2222-22-2-222-44000000000000000000000000000000002-2000000000000000000
χ494444-4-4-4-4-2-4-444-2-2222-2222-2-200004i−4i000000000000000000000000000000−2i2i0000000000000000
χ504444-4-4-4-4-2-4-444-2-2222-2222-2-20000−4i4i0000000000000000000000000000002i−2i0000000000000000
χ5144-4-44-4-4444-4-44-4-44-4-4444-4-44000000000000000000000000000000000000000000000000000000
χ5244-4-44-4-444-444-4-4-44-4-444-444-4000000000000000000000000000000000000000000000000000000
χ5344-4-44-4-44-24-4-4422-222-2-2-222-20000000000000000000000−2i3−2i32i32i30000000000000000000000000000
χ5444-4-44-4-44-24-4-4422-222-2-2-222-200000000000000000000002i32i3−2i3−2i30000000000000000000000000000
χ5544-4-44-4-44-2-444-422-222-2-22-2-22000000000000000000−2i3−2i32i32i300000000000000000000000000000000
χ5644-4-44-4-44-2-444-422-222-2-22-2-220000000000000000002i32i3−2i3−2i300000000000000000000000000000000
χ5744-4-4-444-4-24-44-4222-2-2-22-22-22000000004i−4i000000000000000000000000000000−2i2i000000000000
χ5844-4-4-444-4-24-44-4222-2-2-22-22-2200000000−4i4i0000000000000000000000000000002i−2i000000000000
χ5944-4-4-444-4-2-44-44222-2-2-222-22-20000004i−4i000000000000000000000000000000−2i2i00000000000000
χ6044-4-4-444-4-2-44-44222-2-2-222-22-2000000−4i4i0000000000000000000000000000002i−2i00000000000000
χ614-44-444-4-4400004-444-4-4-4000000000000000022−220000000022−2222−220000000000000000000000000000
χ624-44-444-4-4400004-444-4-4-40000000000000000−222200000000−2222−22220000000000000000000000000000
χ634-44-444-4-4-20000-22-2-2222000000000000000022−22−2i32i300i6−i6i6−i6−22−220000000000000000000000000000
χ644-44-444-4-4-20000-22-2-2222000000000000000022−222i3−2i300−i6i6−i6i6−22−220000000000000000000000000000
χ654-44-444-4-4-20000-22-2-22220000000000000000−2222−2i32i300−i6i6−i6i62−22−20000000000000000000000000000
χ664-44-444-4-4-20000-22-2-22220000000000000000−22222i3−2i300i6−i6i6−i62−22−20000000000000000000000000000
χ674-44-4-4-444400004-4-4-44-440000000000000000000000000000000000000000000000000000000022−22
χ684-44-4-4-444400004-4-4-44-4400000000000000000000000000000000000000000000000000000000−2222
χ694-4-444-44-440000-444-44-4-40000000000000022−2200000022−22−222200000000000000000000000000000000
χ704-4-444-44-440000-444-44-4-400000000000000−2222000000−222222−2200000000000000000000000000000000
χ714-4-444-44-4-200002-2-22-2220000000000000022−220000−2i32i3−222−2i6−i6−i6i60000000000000000000000000000
χ724-4-444-44-4-200002-2-22-2220000000000000022−2200002i3−2i3−222−2−i6i6i6−i60000000000000000000000000000
χ734-4-444-44-4-200002-2-22-22200000000000000−22220000−2i32i32−2−22−i6i6i6−i60000000000000000000000000000
χ744-4-444-44-4-200002-2-22-22200000000000000−222200002i3−2i32−2−22i6−i6−i6i60000000000000000000000000000
χ754-4-44-44-4440000-44-44-4-4400000000000000000000000000000000000000000000000000000022−2200
χ764-4-44-44-4440000-44-44-4-44000000000000000000000000000000000000000000000000000000−222200
χ778-88-8-8-888-40000-4444-44-40000000000000000000000000000000000000000000000000000000000
χ788-8-88-88-88-400004-44-444-40000000000000000000000000000000000000000000000000000000000

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