Finite Group Databasebeta

← Group #10876054

Character table — Group #10876054

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11111111222222222222444444444444448888888888888888888888888881212121212121616161616242424242424242424242448
order1222222234444666666644444412121212121212124444488881212121212121212121224242424242424244444442661212444444488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1
χ41111111111111111111111111111111111-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111
χ5111111111111111111111111-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1111-1-111-1-11
χ6111111111111111111111111-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-111-1-111-1
χ7111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111111-1-1-1-111-1
χ8111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-11111-1-11
χ911111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11
χ1011111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111111111-1
χ1111111111111111111111-1-1-1-11111111111-1-11-1-11111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1
χ1211111111111111111111-1-1-1-11111111111-1-11-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-111-1-11-1-111-1-1111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-11111-111-1-111-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-1111-1-11111-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1111
χ17222222222-2-2-2-222222220000222222-2-2-2-200-20000000000-2-20000000000002222-2-20000000-2000000000
χ18222222222-2-2-2-222222220000222222-2-2-2-200-20000000000-2-2000000000000-2-2-2-22200000002000000000
χ19222222222-2-2-2-222222220000-2-2-2-2-2-2-2-2-2-200200000000002200000000000022-2-2220000000-2000000000
χ20222222222-2-2-2-222222220000-2-2-2-2-2-2-2-2-2-2002000000000022000000000000-2-222-2-200000002000000000
χ2122222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-2-2222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000-21111000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-21111-1-1-1-122-2-2-222-2-2-1-1-1-1111111-1-1-1-11111000000-211-1-1000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-21111-1-1-1-1-2-2-2-2-2-2-222-1-1-1-11111111111-1-1-1-10000002-1-111000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1222-2-2-2-2-2-21111-1-11111111111110000002-1-1-1-1000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-2-22-2-222221111-1-11111-1-1-1-1-1-1-1-1000000-21111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-222-2-222111111-1-1-1-11111-1-1-1-1000000-211-1-1000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-2-2-22222-2-2111111-1-1-1-1-1-1-1-111110000002-1-111000000000000
χ29222-2-2-22-222-2-222-2-2-222-2000000000022-2-20002i−2i00000000002i2i−2i−2i00000000002i−2i2i−2i000000002-20000000
χ30222-2-2-22-222-2-222-2-2-222-2000000000022-2-20002i−2i00000000002i2i−2i−2i0000000000−2i2i−2i2i00000000-220000000
χ31222-2-2-22-222-2-222-2-2-222-2000000000022-2-2000−2i2i0000000000−2i−2i2i2i00000000002i−2i2i−2i00000000-220000000
χ32222-2-2-22-222-2-222-2-2-222-2000000000022-2-2000−2i2i0000000000−2i−2i2i2i0000000000−2i2i−2i2i000000002-20000000
χ33222-2-2-22-22-222-22-2-2-222-222-2-2000000-2-22200000000022-2-200000000000000002i−2i−2i2i00000000002i−2i00000
χ34222-2-2-22-22-222-22-2-2-222-222-2-2000000-2-22200000000022-2-20000000000000000−2i2i2i−2i0000000000−2i2i00000
χ35222-2-2-22-22-222-22-2-2-222-2-2-222000000-2-222000000000-2-22200000000000000002i−2i−2i2i0000000000−2i2i00000
χ36222-2-2-22-22-222-22-2-2-222-2-2-222000000-2-222000000000-2-2220000000000000000−2i2i2i−2i00000000002i−2i00000
χ3722-222-2-2-22-22-22-222-2-22-22-22-20000002-22-22i−2i0002i−2i002-22-20000002i2i−2i−2i00000000000002i−2i000000000000
χ3822-222-2-2-22-22-22-222-2-22-22-22-20000002-22-2−2i2i000−2i2i002-22-2000000−2i−2i2i2i0000000000000−2i2i000000000000
χ3922-222-2-2-22-22-22-222-2-22-2-22-220000002-22-22i−2i000−2i2i00-22-22000000−2i−2i2i2i00000000000002i−2i000000000000
χ4022-222-2-2-22-22-22-222-2-22-2-22-220000002-22-2−2i2i0002i−2i00-22-220000002i2i−2i−2i0000000000000−2i2i000000000000
χ4122-222-2-2-2-1-22-221-1-111-112-22-20033−3−3-11-112i−2i0002i−2i00-11-113−33−33−3−i−iii−i3−i3i3i30000000−i3i3−ii000000000000
χ4222-222-2-2-2-1-22-221-1-111-112-22-20033−3−3-11-11−2i2i000−2i2i00-11-113−33−33−3ii−i−ii3i3−i3−i30000000i3−i3i−i000000000000
χ4322-222-2-2-2-1-22-221-1-111-112-22-200−3−333-11-112i−2i0002i−2i00-11-11−33−33−33−i−iiii3i3−i3−i30000000i3−i3−ii000000000000
χ4422-222-2-2-2-1-22-221-1-111-112-22-200−3−333-11-11−2i2i000−2i2i00-11-11−33−33−33ii−i−i−i3−i3i3i30000000−i3i3i−i000000000000
χ4522-222-2-2-2-1-22-221-1-111-11-22-220033−3−3-11-112i−2i000−2i2i001-11-13−3−33−33ii−i−ii3i3−i3−i30000000−i3i3−ii000000000000
χ4622-222-2-2-2-1-22-221-1-111-11-22-220033−3−3-11-11−2i2i0002i−2i001-11-13−3−33−33−i−iii−i3−i3i3i30000000i3−i3i−i000000000000
χ4722-222-2-2-2-1-22-221-1-111-11-22-2200−3−333-11-112i−2i000−2i2i001-11-1−333−33−3ii−i−i−i3−i3i3i30000000i3−i3−ii000000000000
χ4822-222-2-2-2-1-22-221-1-111-11-22-2200−3−333-11-11−2i2i0002i−2i001-11-1−333−33−3−i−iiii3i3−i3−i30000000−i3i3i−i000000000000
χ4922-2-2-22-22222-2-2-2-2-22-2222-2-22000000-222-20000000002-2-2200000000000000000000000002i−2i00000002i−2i0
χ5022-2-2-22-22222-2-2-2-2-22-2222-2-22000000-222-20000000002-2-220000000000000000000000000−2i2i0000000−2i2i0
χ5122-2-2-22-22222-2-2-2-2-22-222-222-2000000-222-2000000000-222-200000000000000000000000002i−2i0000000−2i2i0
χ5222-2-2-22-22222-2-2-2-2-22-222-222-2000000-222-2000000000-222-20000000000000000000000000−2i2i00000002i−2i0
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-2000044-2-2-2-2222200-400000000002200000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-20000-4-4222222220040000000000-2-200000000000000000000000000000000000
χ55444-4-4-44-4-24-4-44-2222-2-220000000000-2-2220004i−4i0000000000−2i−2i2i2i0000000000000000000000000000000
χ56444-4-4-44-4-24-4-44-2222-2-220000000000-2-222000−4i4i00000000002i2i−2i−2i0000000000000000000000000000000
χ57444-4-4-44-4-2-444-4-2222-2-2244-4-400000022-2-2000000000-2-2220000000000000000000000000000000000000
χ58444-4-4-44-4-2-444-4-2222-2-22-4-44400000022-2-200000000022-2-20000000000000000000000000000000000000
χ5944-444-4-4-444-44-4-444-4-44-40000000000-44-4400000000000000000000000000000000000000000000000000
χ6044-444-4-4-4-24-44-42-2-222-220000002323−23−232-22-20000000000000−232300000000000000000000000000000000000
χ6144-444-4-4-4-24-44-42-2-222-22000000−23−2323232-22-2000000000000023−2300000000000000000000000000000000000
χ6244-4-4-44-444-4-444-4-4-44-44400000000004-4-4400000000000000000000000000000000000000000000000000
χ6344-4-4-44-44-244-4-4222-22-2-24-4-440000002-2-22000000000-222-20000000000000000000000000000000000000
χ6444-4-4-44-44-244-4-4222-22-2-2-444-40000002-2-220000000002-2-220000000000000000000000000000000000000
χ6544-4-4-44-44-2-4-444222-22-2-20000000000-222-2000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ6644-4-4-44-44-2-4-444222-22-2-20000000000-222-20000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ674-444-44-4-440000-44-4-44-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ684-444-44-4-440000-44-4-44-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ694-44-44-4-4440000-4-4444-4-4000000000000000000000−2i22i200000000000000−2i22i2−2i22i200000000000000000000000
χ704-44-44-4-4440000-4-4444-4-40000000000000000000002i2−2i2000000000000002i2−2i22i2−2i200000000000000000000000
χ714-44-44-4-44-2000022-2-2-222000000−2i32i3−2i32i300000000000−2i22i200000000006−66−6i2−i2i2−i200000000000000000000000
χ724-44-44-4-44-2000022-2-2-222000000−2i32i3−2i32i3000000000002i2−2i20000000000−66−66−i2i2−i2i200000000000000000000000
χ734-44-44-4-44-2000022-2-2-2220000002i3−2i32i3−2i300000000000−2i22i20000000000−66−66i2−i2i2−i200000000000000000000000
χ744-44-44-4-44-2000022-2-2-2220000002i3−2i32i3−2i3000000000002i2−2i200000000006−66−6−i2i2−i2i200000000000000000000000
χ754-4-44-4-4444000044-44-4-4-4000000000000000000000000000000000000000004i−4i000000000000000000000
χ764-4-44-4-4444000044-44-4-4-400000000000000000000000000000000000000000−4i4i000000000000000000000
χ774-4-4-4444-4400004-44-4-4-4400004i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ784-4-4-4444-4400004-44-4-4-440000−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ794-4-4-4444-4-20000-22-2222-200004i−4i−2i2i2i−2i00000000000000000000000i6−i6−i6i6−666−600000000000000000000000
χ804-4-4-4444-4-20000-22-2222-200004i−4i−2i2i2i−2i00000000000000000000000−i6i6i6−i66−6−6600000000000000000000000
χ814-4-4-4444-4-20000-22-2222-20000−4i4i2i−2i−2i2i00000000000000000000000i6−i6−i6i66−6−6600000000000000000000000
χ824-4-4-4444-4-20000-22-2222-20000−4i4i2i−2i−2i2i00000000000000000000000−i6i6i6−i6−666−600000000000000000000000
χ838-888-88-8-8-400004-444-44-40000000000000000000000000000000000000000000000000000000000000000
χ848-8-88-8-888-40000-4-44-44440000000000000000000000000000000000000000000000000000000000000000

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