Finite Group Databasebeta

← Group #10847444

Character table — Group #10847444

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
χ911111111111-1-1-1-1111111111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-111-1-1-1-11111-1-11-1
χ1011111111111-1-1-1-1111111111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111-11
χ1111111111111-1-1-1-1111111111-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-111-1-111-1-111-11
χ1211111111111-1-1-1-1111111111-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11-1-11111-1-111-1-11-1
χ1311111111111-1-1-1-1111111111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-11-1-11111-1-111-1-1-11
χ1411111111111-1-1-1-1111111111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-11-1-111-1-111-1-1111-1
χ1511111111111-1-1-1-1111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-11-111-1-111-1-1-1-1111-1
χ1611111111111-1-1-1-1111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111-111-1-1-1-11111-1-1-11
χ17222222222-2-22222-2-22222222-2-2-2-22222-2-2000000000000-2-200000000000022-2-2-2-2220000000000000000
χ18222222222-2-22222-2-22222222-2-2-2-22222-2-2000000000000-2-2000000000000-2-22222-2-20000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000220000000000002222-2-2-2-20000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-200000000000022000000000000-2-2-2-222220000000000000000
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
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-122-2-2-1-1-1-122-2-2111111-1-1-1-11111000000002-2-1-1110000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-122-2-2-1-1-1-1-2-2221111111111-1-1-1-100000000-2211-1-10000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-222111122-2-211-1-1-1-1-1-1-1-1111100000000-2211-1-10000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-2221111-2-22211-1-1-1-11111-1-1-1-1000000002-2-1-1110000000000
χ2922-2-2-222-222-22i2i−2i−2i2-222-2-2-22-22i−2i2-22i2i−2i−2i2-20000000000002i−2i0000000000000000000000000000002-22i−2i00
χ3022-2-2-222-222-22i2i−2i−2i2-222-2-2-22-22i−2i2-22i2i−2i−2i2-20000000000002i−2i000000000000000000000000000000-22−2i2i00
χ3122-2-2-222-222-2−2i−2i2i2i2-222-2-2-22-2−2i2i2-2−2i−2i2i2i2-2000000000000−2i2i0000000000000000000000000000002-2−2i2i00
χ3222-2-2-222-222-2−2i−2i2i2i2-222-2-2-22-2−2i2i2-2−2i−2i2i2i2-2000000000000−2i2i000000000000000000000000000000-222i−2i00
χ3322-2-2-222-22-222i2i−2i−2i-2222-2-2-22-2−2i2i-222i2i−2i−2i-22000000002i−2i2-2−2i2i00002i2i−2i−2i22-2-2000000000000000000000000
χ3422-2-2-222-22-222i2i−2i−2i-2222-2-2-22-2−2i2i-222i2i−2i−2i-2200000000−2i2i-22−2i2i0000−2i−2i2i2i-2-222000000000000000000000000
χ3522-2-2-222-22-22−2i−2i2i2i-2222-2-2-22-22i−2i-22−2i−2i2i2i-22000000002i−2i-222i−2i00002i2i−2i−2i-2-222000000000000000000000000
χ3622-2-2-222-22-22−2i−2i2i2i-2222-2-2-22-22i−2i-22−2i−2i2i2i-2200000000−2i2i2-22i−2i0000−2i−2i2i2i22-2-2000000000000000000000000
χ3722-2-2-222-2-1-222i2i−2i−2i-22-1-1111-11−2i2i1-1−i−iii1-10000−i3−i3i3i32i−2i2-2i−i33−3−3−i−iii-1-11100000000003−3−i3i30000000000
χ3822-2-2-222-2-1-222i2i−2i−2i-22-1-1111-11−2i2i1-1−i−iii1-10000−i3−i3i3i3−2i2i-22i−i33−3−3ii−i−i11-1-10000000000−33i3−i30000000000
χ3922-2-2-222-2-1-222i2i−2i−2i-22-1-1111-11−2i2i1-1−i−iii1-10000i3i3−i3−i32i−2i2-2i−i−3−333−i−iii-1-1110000000000−33i3−i30000000000
χ4022-2-2-222-2-1-222i2i−2i−2i-22-1-1111-11−2i2i1-1−i−iii1-10000i3i3−i3−i3−2i2i-22i−i−3−333ii−i−i11-1-100000000003−3−i3i30000000000
χ4122-2-2-222-2-1-22−2i−2i2i2i-22-1-1111-112i−2i1-1ii−i−i1-10000−i3−i3i3i32i−2i-22−ii−3−333−i−iii11-1-100000000003−3i3−i30000000000
χ4222-2-2-222-2-1-22−2i−2i2i2i-22-1-1111-112i−2i1-1ii−i−i1-10000−i3−i3i3i3−2i2i2-2−ii−3−333ii−i−i-1-1110000000000−33−i3i30000000000
χ4322-2-2-222-2-1-22−2i−2i2i2i-22-1-1111-112i−2i1-1ii−i−i1-10000i3i3−i3−i32i−2i-22−ii33−3−3−i−iii11-1-10000000000−33−i3i30000000000
χ4422-2-2-222-2-1-22−2i−2i2i2i-22-1-1111-112i−2i1-1ii−i−i1-10000i3i3−i3−i3−2i2i2-2−ii33−3−3ii−i−i-1-11100000000003−3i3−i30000000000
χ452-2-2-222-2222-20000-22-2-2-22-222002-20000-222-2002-22-20000000000000000002-2002-200000000002-2000000
χ462-2-2-222-2222-20000-22-2-2-22-222002-20000-222-2002-22-2000000000000000000-2200-220000000000-22000000
χ472-2-2-222-2222-20000-22-2-2-22-222002-20000-22-2200-22-220000000000000000002-2002-20000000000-22000000
χ482-2-2-222-2222-20000-22-2-2-22-222002-20000-22-2200-22-22000000000000000000-2200-2200000000002-2000000
χ492-2-2-222-222-2200002-2-2-2-22-22200-2200002-2002-200000000002-22-2000000002-200-22000000002-200000000
χ502-2-2-222-222-2200002-2-2-2-22-22200-2200002-2002-200000000002-22-200000000-22002-200000000-2200000000
χ512-2-2-222-222-2200002-2-2-2-22-22200-2200002-200-220000000000-22-22000000002-200-2200000000-2200000000
χ522-2-2-222-222-2200002-2-2-2-22-22200-2200002-200-220000000000-22-2200000000-22002-2000000002-200000000
χ5344444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-422-2-2-2-22200000000000022000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24422222222000000000000-2-2000000000000000000000000000000000000
χ55444-44-4-4-44000000004-444-4-4-4000000000000000000000000000000000000004-400000000000000000000
χ56444-44-4-4-44000000004-444-4-4-400000000000000000000000000000000000000-4400000000000000000000
χ5744-44-4-4-444000000004-4-4-44-440000000000000000000000000000000000000000004-40000000000000000
χ5844-44-4-4-444000000004-4-4-44-44000000000000000000000000000000000000000000-440000000000000000
χ5944-4-4-444-4-24-44i4i−4i−4i4-4-2-2222-224i−4i-22−2i−2i2i2i-22000000000000−2i2i000000000000000000000000000000000000
χ6044-4-4-444-4-24-4−4i−4i4i4i4-4-2-2222-22−4i4i-222i2i−2i−2i-220000000000002i−2i000000000000000000000000000000000000
χ614-444-44-4-44440000-4-4-4-44-444-400440000-4-400000000000000000000000000000000000000000000000000
χ624-444-44-4-44-4-4000044-4-44-444-400-4-400004400000000000000000000000000000000000000000000000000
χ634-444-44-4-4-2440000-4-422-22-2-2200-2-20000220000000000000023−23−232300000000000000000000000000000000
χ644-444-44-4-4-2440000-4-422-22-2-2200-2-200002200000000000000−232323−2300000000000000000000000000000000
χ654-444-44-4-4-2-4-400004422-22-2-2200220000-2-20000−2i32i32i3−2i3000000000000000000000000000000000000000000
χ664-444-44-4-4-2-4-400004422-22-2-2200220000-2-200002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ674-44-4-4-4444004-44-400-444-4-4-4400004-44-40000000000000000000000000000000000000000000000000000
χ684-44-4-4-444400-44-4400-444-4-4-440000-44-440000000000000000000000000000000000000000000000000000
χ694-44-4-4-444-2004-44-4002-2-2222-20000-22-22000000000000000000006−66−66−66−6000000000000000000000000
χ704-44-4-4-444-2004-44-4002-2-2222-20000-22-2200000000000000000000−66−66−66−66000000000000000000000000
χ714-44-4-4-444-200-44-44002-2-2222-200002-22-2000000000000000000006−66−6−66−66000000000000000000000000
χ724-44-4-4-444-200-44-44002-2-2222-200002-22-200000000000000000000−66−666−66−6000000000000000000000000
χ734-4-444-44-44004i−4i−4i4i00-44-444-4-400004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ744-4-444-44-4400−4i4i4i−4i00-44-444-4-40000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ754-4-444-44-4-2004i−4i−4i4i002-22-2-2220000−2i2i2i−2i00000000000000000000i6−i6−i6i66−6−66000000000000000000000000
χ764-4-444-44-4-2004i−4i−4i4i002-22-2-2220000−2i2i2i−2i00000000000000000000−i6i6i6−i6−666−6000000000000000000000000
χ774-4-444-44-4-200−4i4i4i−4i002-22-2-22200002i−2i−2i2i00000000000000000000i6−i6−i6i6−666−6000000000000000000000000
χ784-4-444-44-4-200−4i4i4i−4i002-22-2-22200002i−2i−2i2i00000000000000000000−i6i6i6−i66−6−66000000000000000000000000
χ794-4-4-444-44-24-40000-44222-22-2-200-2200002-24-400-22-22000000000000000000000000000000000000000000
χ804-4-4-444-44-24-40000-44222-22-2-200-2200002-2-44002-22-2000000000000000000000000000000000000000000
χ814-4-4-444-44-2-4400004-4222-22-2-2002-20000-22004-40000000000-22-2200000000000000000000000000000000
χ824-4-4-444-44-2-4400004-4222-22-2-2002-20000-2200-4400000000002-22-200000000000000000000000000000000
χ83888-88-8-8-8-400000000-44-4-4444000000000000000000000000000000000000000000000000000000000000
χ8488-88-8-8-88-400000000-4444-44-4000000000000000000000000000000000000000000000000000000000000

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