Finite Group Databasebeta

← Group #10692301

Character table — Group #10692301

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444444444444444488888888888812121212161616161616161616161616242424242424242424244848
order122234444446662444444466121212121212121224661212121212121212888844881212121224242424888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ61111111111111111-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-1
χ71111111111111111-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1
χ81111111111111111-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ911111-111-1-1-11111-1111-1-1-111-1-1-1-11111-11-1-1-1-11111-1-1ii−i−i1-11-111-1-111-1-1i−iii−i−iii−i−ii−i
χ1011111-111-1-1-11111-1111-1-1-111-1-1-1-11111-11-1-1-1-11111-1-1ii−i−i-11-11-1-111-1-111i−iii−i−i−i−iii−ii
χ1111111-111-1-1-11111-1111-1-1-111-1-1-1-11111-11-1-1-1-11111-1-1−i−iii1-11-111-1-111-1-1−ii−i−iii−i−iii−ii
χ1211111-111-1-1-11111-1111-1-1-111-1-1-1-11111-11-1-1-1-11111-1-1−i−iii-11-11-1-111-1-111−ii−i−iiiii−i−ii−i
χ1311111-111-1-1-11111-1-1-1111-111-1-1-1-111111-111-1-1-1-1-1-111ii−i−i1-1-1111-1-1-1-111i−i−i−iii−i−iiii−i
χ1411111-111-1-1-11111-1-1-1111-111-1-1-1-111111-111-1-1-1-1-1-111ii−i−i-111-1-1-11111-1-1i−i−i−iiiii−i−i−ii
χ1511111-111-1-1-11111-1-1-1111-111-1-1-1-111111-111-1-1-1-1-1-111−i−iii1-1-1111-1-1-1-111−iiii−i−iii−i−i−ii
χ1611111-111-1-1-11111-1-1-1111-111-1-1-1-111111-111-1-1-1-1-1-111−i−iii-111-1-1-11111-1-1−iiii−i−i−i−iiii−i
χ1722222222-22-2222-2-222-2-2-22-2-222-2-22-2-222-2222-222-2-2-2-20000000000000000000000000000
χ1822222222-22-2222-2-2-2-2-2222-2-222-2-22-2-22-22-2-22-2-2-222220000000000000000000000000000
χ19222222-2-2222222-2-200200-2-2-22222-222-20000-2-20000002222000000000000-2-20000000000
χ20222222-2-2222222-2-200200-2-2-22222-222-20000-2-2000000-2-2-2-2000000000000220000000000
χ21222222-2-2-22-22222200-200-22222-2-2-2-2-2-20000-220000000000000000000000002i−2i2i−2i000000
χ22222222-2-2-22-22222200-200-22222-2-2-2-2-2-20000-22000000000000000000000000−2i2i−2i2i000000
χ2322222-2222-22222-2222-222-2-2-2-2-2222-2-22-2-2-2-2-2222-2-2220000000000000000000000000000
χ2422222-2222-22222-22-2-2-2-2-2-2-2-2-2-2222-2-222222-22-2-222-2-20000000000000000000000000000
χ2522222-2-2-22-222222-200-200222-2-222-2-2-2-200002-20000000000000000000000002-2-22000000
χ2622222-2-2-22-222222-200-200222-2-222-2-2-2-200002-2000000000000000000000000-222-2000000
χ2722222-2-2-2-2-2-2222-22002002-2-2-2-2-2-2-222-20000220000002i2i−2i−2i000000000000−2i2i0000000000
χ2822222-2-2-2-2-2-2222-22002002-2-2-2-2-2-2-222-2000022000000−2i−2i2i2i0000000000002i−2i0000000000
χ292222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1000000000000
χ302222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-211111111000000000000
χ312222-1222222-1-1-122-2-22-2-22-1-1-1-1-1-1-1-1-1-1-2-211-1-1111111000022-2-2-1-1-1-11111000000000000
χ322222-1222222-1-1-122-2-22-2-22-1-1-1-1-1-1-1-1-1-1-2-211-1-11111110000-2-2221111-1-1-1-1000000000000
χ332222-1222-22-2-1-1-1-2-222-2-2-2211-1-111-111-12-2-1-1-11-1-1111100000000−i3i3−i3i3−i3i3−i3i3000000000000
χ342222-1222-22-2-1-1-1-2-222-2-2-2211-1-111-111-12-2-1-1-11-1-1111100000000i3−i3i3−i3i3−i3i3−i3000000000000
χ352222-1222-22-2-1-1-1-2-2-2-2-222211-1-111-111-1-2211-1111-1-1-1-100000000−i3i3−i3i3i3−i3i3−i3000000000000
χ362222-1222-22-2-1-1-1-2-2-2-2-222211-1-111-111-1-2211-1111-1-1-1-100000000i3−i3i3−i3−i3i3−i3i3000000000000
χ372222-1-2222-22-1-1-1-2222-222-21111-1-1-111-1-2-2111-1-1-111-1-100000000−i3i3i3−i3−i3i3i3−i3000000000000
χ382222-1-2222-22-1-1-1-2222-222-21111-1-1-111-1-2-2111-1-1-111-1-100000000i3−i3−i3i3i3−i3−i3i3000000000000
χ392222-1-2222-22-1-1-1-22-2-2-2-2-2-21111-1-1-111-122-1-11-111-1-11100000000−i3i3i3−i3i3−i3−i3i3000000000000
χ402222-1-2222-22-1-1-1-22-2-2-2-2-2-21111-1-1-111-122-1-11-111-1-11100000000i3−i3−i3i3−i3i3i3−i3000000000000
χ412222-1-222-2-2-2-1-1-12-2222-2-2-2-1-11111-1-1-1-1-221111-1-1-1-11100002-22-2-1-111-1-111000000000000
χ422222-1-222-2-2-2-1-1-12-2222-2-2-2-1-11111-1-1-1-1-221111-1-1-1-1110000-22-2211-1-111-1-1000000000000
χ432222-1-222-2-2-2-1-1-12-2-2-2222-2-1-11111-1-1-1-12-2-1-1111111-1-100002-2-22-1-11111-1-1000000000000
χ442222-1-222-2-2-2-1-1-12-2-2-2222-2-1-11111-1-1-1-12-2-1-1111111-1-10000-222-211-1-1-1-111000000000000
χ454444-24-4-4444-2-2-2-4-400400-422-2-2-2-22-2-220000220000000000000000000000000000000000
χ464444-24-4-4-44-4-2-2-24400-400-4-2-2-2-222222200002-20000000000000000000000000000000000
χ474444-2-4-4-44-44-2-2-24-400-4004-2-222-2-222220000-220000000000000000000000000000000000
χ484444-2-4-4-4-4-4-4-2-2-2-440040042222222-2-220000-2-20000000000000000000000000000000000
χ4944-4-4400040-44-4-40000000000004-4000000000000000000000000000000000000002-22-200
χ5044-4-4400040-44-4-40000000000004-400000000000000000000000000000000000000-22-2200
χ5144-4-44000-4044-4-4000000000000-44000000000000000000000000000000000000002i−2i−2i2i00
χ5244-4-44000-4044-4-4000000000000-4400000000000000000000000000000000000000−2i2i2i−2i00
χ534-44-444000-40-44-400000000004-400000000000000000022−2222−22000000000000000000000000
χ544-44-444000-40-44-400000000004-4000000000000000000−2222−2222000000000000000000000000
χ554-44-44-400040-44-40000000000-44000000000000000000−2i22i22i2−2i2000000000000000000000000
χ564-44-44-400040-44-40000000000-440000000000000000002i2−2i2−2i22i2000000000000000000000000
χ574-4-44404-4000-4-44004i−4i0000000000400-40000004i−4i00000000000000000000000000000000
χ584-4-44404-4000-4-4400−4i4i0000000000400-4000000−4i4i00000000000000000000000000000000
χ594-4-4440-44000-4-44000004-40000000-400400000000004-40000000000000000000000000000
χ604-4-4440-44000-4-4400000-440000000-40040000000000-440000000000000000000000000000
χ614-4-44-204-400022-2004i−4i0000−2i32i30000-2−2i32i32000000−2i2i23−23000000000000000000000000000000
χ624-4-44-204-400022-2004i−4i00002i3−2i30000-22i3−2i32000000−2i2i−2323000000000000000000000000000000
χ634-4-44-204-400022-200−4i4i0000−2i32i30000-2−2i32i320000002i−2i−2323000000000000000000000000000000
χ644-4-44-204-400022-200−4i4i00002i3−2i30000-22i3−2i320000002i−2i23−23000000000000000000000000000000
χ654-4-44-20-4400022-2000004-40−2i32i3000022i3−2i3-200−2i32i3000000-220000000000000000000000000000
χ664-4-44-20-4400022-2000004-402i3−2i300002−2i32i3-2002i3−2i3000000-220000000000000000000000000000
χ674-4-44-20-4400022-200000-440−2i32i3000022i3−2i3-2002i3−2i30000002-20000000000000000000000000000
χ684-4-44-20-4400022-200000-4402i3−2i300002−2i32i3-200−2i32i30000002-20000000000000000000000000000
χ6988-8-8-400080-8-444000000000000-4400000000000000000000000000000000000000000000
χ7088-8-8-4000-808-4440000000000004-400000000000000000000000000000000000000000000
χ718-88-8-48000-804-440000000000-440000000000000000000000000000000000000000000000
χ728-88-8-4-8000804-4400000000004-40000000000000000000000000000000000000000000000

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