Finite Group Databasebeta

← Group #10894937

Character table — Group #10894937

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222222222444444444488888888888888888888888888121212121212121216161616161624242424242424244848
order122222223444444446666666441212121212121212444488881212121212121212121224242424242424244444444444121212124444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-111-11
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-11111-1-1-1-111-11
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11-1-111-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-11-1-111-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-11-1-11111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-111-1-111-1-111-1-1-11
χ172222222222222-2-2-2-22222222-2-22222-2-2-2-200000000-2-2000000000000000022-2-2-2-2220000000000000000
χ182222222222222-2-2-2-22222222-2-22222-2-2-2-200000000-2-20000000000000000-2-22222-2-20000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2000000002200000000000000002222-2-2-2-20000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-200000000220000000000000000-2-2-2-222220000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-10000000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111100000000-2-211110000000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-100000000-2-211110000000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-111111111111111110000000022-1-1-1-10000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-122-2-222-2-211-1-1-1-11111-1-1-1-11111000000002-2-1-1110000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-122-2-2-2-22211-1-1-1-111111111-1-1-1-100000000-2211-1-10000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-22222-2-2111111-1-1-1-1-1-1-1-1111100000000-2211-1-10000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-222-2-222111111-1-1-1-11111-1-1-1-1000000002-2-1-1110000000000
χ2922-2-2-222-2222-2-22-22-2-2-2-2222-22-222-2-22-2-22000000002-200000000000000000000000000000000002i−2i2i−2i00
χ3022-2-2-222-2222-2-22-22-2-2-2-2222-22-222-2-22-2-22000000002-20000000000000000000000000000000000−2i2i−2i2i00
χ3122-2-2-222-2222-2-2-22-22-2-2-2222-2-2222-2-2-222-200002i−2i2i−2i-22000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3222-2-2-222-2222-2-2-22-22-2-2-2222-2-2222-2-2-222-20000−2i2i−2i2i-2200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3322-2-2-222-22-2-2222-22-2-2-2-2222-2-22-2-2222-2-2200000000-2200000000000000000000000000000000002i−2i−2i2i00
χ3422-2-2-222-22-2-2222-22-2-2-2-2222-2-22-2-2222-2-2200000000-220000000000000000000000000000000000−2i2i2i−2i00
χ3522-2-2-222-22-2-222-22-22-2-2-2222-22-2-2-222-222-200002i−2i−2i2i2-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ3622-2-2-222-22-2-222-22-22-2-2-2222-22-2-2-222-222-20000−2i2i2i−2i2-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ3722-2-2-222-2-122-2-2-22-22111-1-1-11-22-1-1111-1-1100002i−2i2i−2i1-1−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii00000000003−33−30000000000
χ3822-2-2-222-2-122-2-2-22-22111-1-1-11-22-1-1111-1-1100002i−2i2i−2i1-1i3i3−i3−i3i3i3−i3−i3−i−iii−i−iii0000000000−33−330000000000
χ3922-2-2-222-2-122-2-2-22-22111-1-1-11-22-1-1111-1-110000−2i2i−2i2i1-1−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i0000000000−33−330000000000
χ4022-2-2-222-2-122-2-2-22-22111-1-1-11-22-1-1111-1-110000−2i2i−2i2i1-1i3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i00000000003−33−30000000000
χ4122-2-2-222-2-1-2-222-22-22111-1-1-112-211-1-11-1-1100002i−2i−2i2i-11−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i00000000003−3−330000000000
χ4222-2-2-222-2-1-2-222-22-22111-1-1-112-211-1-11-1-1100002i−2i−2i2i-11i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i0000000000−333−30000000000
χ4322-2-2-222-2-1-2-222-22-22111-1-1-112-211-1-11-1-110000−2i2i2i−2i-11−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii0000000000−333−30000000000
χ4422-2-2-222-2-1-2-222-22-22111-1-1-112-211-1-11-1-110000−2i2i2i−2i-11i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii00000000003−3−330000000000
χ452-22-222-2-2200002-2-222-2-2-22-2200000022-2-2002i−2i00000000002i−2i2i−2i00000000002i−2i002i−2i0000002-200000000
χ462-22-222-2-2200002-2-222-2-2-22-2200000022-2-2002i−2i00000000002i−2i2i−2i0000000000−2i2i00−2i2i000000-2200000000
χ472-22-222-2-2200002-2-222-2-2-22-2200000022-2-200−2i2i0000000000−2i2i−2i2i00000000002i−2i002i−2i000000-2200000000
χ482-22-222-2-2200002-2-222-2-2-22-2200000022-2-200−2i2i0000000000−2i2i−2i2i0000000000−2i2i00−2i2i0000002-200000000
χ492-22-222-2-220000-222-22-2-2-22-22000000-2-2222-2000000002-22-2000000000000002i−2i00−2i2i000000002i−2i000000
χ502-22-222-2-220000-222-22-2-2-22-22000000-2-2222-2000000002-22-200000000000000−2i2i002i−2i00000000−2i2i000000
χ512-22-222-2-220000-222-22-2-2-22-22000000-2-222-2200000000-22-22000000000000002i−2i00−2i2i00000000−2i2i000000
χ522-22-222-2-220000-222-22-2-2-22-22000000-2-222-2200000000-22-2200000000000000−2i2i002i−2i000000002i−2i000000
χ5344444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-4-2-2-2-2222200000000220000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2442222222200000000-2-20000000000000000000000000000000000000000
χ55444-4-4-4-4444-44-4000044-44-4-4-4004-44-4000000000000000000000000000000000000000000000000000000
χ56444-4-4-4-444-44-44000044-44-4-4-400-44-44000000000000000000000000000000000000000000000000000000
χ57444-4-4-4-44-24-44-40000-2-22-222200-22-220000000000000000000000i6−i6i6−i6i6−i6i6−i6000000000000000000000000
χ58444-4-4-4-44-24-44-40000-2-22-222200-22-220000000000000000000000−i6i6−i6i6−i6i6−i6i6000000000000000000000000
χ59444-4-4-4-44-2-44-440000-2-22-2222002-22-20000000000000000000000i6−i6i6−i6−i6i6−i6i6000000000000000000000000
χ60444-4-4-4-44-2-44-440000-2-22-2222002-22-20000000000000000000000−i6i6−i6i6i6−i6i6−i6000000000000000000000000
χ6144-444-4-4-444-4-440000-4-444-4-44004-4-44000000000000000000000000000000000000000000000000000000
χ6244-444-4-4-44-444-40000-4-444-4-4400-444-4000000000000000000000000000000000000000000000000000000
χ6344-444-4-4-4-24-4-44000022-2-222-200-222-200000000000000000000006−6−666−6−66000000000000000000000000
χ6444-444-4-4-4-24-4-44000022-2-222-200-222-20000000000000000000000−666−6−666−6000000000000000000000000
χ6544-444-4-4-4-2-444-4000022-2-222-2002-2-2200000000000000000000006−6−66−666−6000000000000000000000000
χ6644-444-4-4-4-2-444-4000022-2-222-2002-2-220000000000000000000000−666−66−6−66000000000000000000000000
χ6744-4-4-444-4-244-4-44-44-4222-2-2-224-4-2-222-222-200000000-220000000000000000000000000000000000000000
χ6844-4-4-444-4-2-4-4444-44-4222-2-2-22-4422-2-2-222-2000000002-20000000000000000000000000000000000000000
χ694-444-4-44-44000000004-44-4-44-40000000000000000000000000000000000004-40000000000000000000000
χ704-444-4-44-44000000004-44-4-44-4000000000000000000000000000000000000-440000000000000000000000
χ714-44-444-4-4-200004-4-44-2222-22-2000000-2-222004i−4i0000000000−2i2i−2i2i00000000000000000000000000000000
χ724-44-444-4-4-200004-4-44-2222-22-2000000-2-22200−4i4i00000000002i−2i2i−2i00000000000000000000000000000000
χ734-44-444-4-4-20000-444-4-2222-22-200000022-2-24-400000000-22-22000000000000000000000000000000000000
χ744-44-444-4-4-20000-444-4-2222-22-200000022-2-2-44000000002-22-2000000000000000000000000000000000000
χ754-4-44-44-444000044-4-4-444-44-4-40000004-44-400000000000000000000000000000000000000000000000000
χ764-4-44-44-4440000-4-444-444-44-4-4000000-44-4400000000000000000000000000000000000000000000000000
χ774-4-44-44-44-2000044-4-42-2-22-222000000-22-220000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ784-4-44-44-44-2000044-4-42-2-22-222000000-22-2200000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ794-4-44-44-44-20000-4-4442-2-22-2220000002-22-20000000000000023−23−232300000000000000000000000000000000
χ804-4-44-44-44-20000-4-4442-2-22-2220000002-22-200000000000000−232323−2300000000000000000000000000000000
χ814-4-4-44-444400000000-44-4-4-44400000000000000000000000000000000000000004-4000000000000000000
χ824-4-4-44-444400000000-44-4-4-4440000000000000000000000000000000000000000-44000000000000000000
χ838-888-8-88-8-400000000-44-444-44000000000000000000000000000000000000000000000000000000000000
χ848-8-8-88-888-4000000004-4444-4-4000000000000000000000000000000000000000000000000000000000000

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