Finite Group Databasebeta

← Group #10780329

Character table — Group #10780329

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111222222224444444888888888812121212121212121212161616161616161616161616242424323248484848
order1222344446664881212121244888122424242424448888884488121224242424242424812122488
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-11-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1
χ61111111111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-1-111
χ71111111111111111111-1-11-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-111-1-111
χ81111111111111111111-1-11-1-111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-111-1-1
χ91111111111111-1-1111111-1-1-11-1-1-1-11111-1-1-1-1-1-11-11-111-1-111-1-111-11-11-1-11
χ101111111111111-1-1111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-11-1111-1-1-1-11111-1-11-111-1
χ111111111111111-1-1111111-1-1-11-1-1-1-1-1-1-1-11111111-11-111-1-111-1-1-1-111-1-111-1
χ121111111111111-1-1111111-1-1-11-1-1-1-1-1-1-1-1111111-11-1111-1-1-1-111-1-11-111-1-11
χ131111111111111-1-11111-1-1-1111-1-1-1-11111-1-111111-1-11-1-111-1-111-1-1-11-11-11-1
χ141111111111111-1-11111-1-1-1111-1-1-1-11111-1-11111-111-1-1-11111-1-1-1-1-1-11-11-11
χ151111111111111-1-11111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-111-1-1111111-1-11-11
χ161111111111111-1-11111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11111-1-1111-111-11-1
χ17222222-22-2222-222-222-200-200-222-2-22-22-2-2-20000000000000000002000000
χ18222222-22-2222-222-222-200-200-222-2-2-22-2222000000000000000000-2000000
χ19222222-22-2222-2-2-2-222-200200-2-2-2222-22-222000000000000000000-2000000
χ20222222-22-2222-2-2-2-222-200200-2-2-222-22-22-2-20000000000000000002000000
χ2122222-22-22222-2002-2-222-2000-200002-2-2200000000002-20000002-20000000
χ2222222-22-22222-2002-2-222-2000-20000-222-200000000002-2000000-220000000
χ2322222-22-22222-2002-2-22-22000-200002-2-220000000000-22000000-220000000
χ2422222-22-22222-2002-2-22-22000-20000-222-20000000000-220000002-20000000
χ2522222-2-2-2-2222200-2-2-2-20002i−2i2000022-2-2002i2i−2i−2i0000002i−2i0000000000000
χ2622222-2-2-2-2222200-2-2-2-20002i−2i20000-2-22200−2i−2i2i2i0000002i−2i0000000000000
χ2722222-2-2-2-2222200-2-2-2-2000−2i2i2000022-2-200−2i−2i2i2i000000−2i2i0000000000000
χ2822222-2-2-2-2222200-2-2-2-2000−2i2i20000-2-222002i2i−2i−2i000000−2i2i0000000000000
χ292222-12222-1-1-1222-1-1-1-122222-1-1-1-1-100000000002222-1-1-1-1-1-1-1-1000-1-10000
χ302222-12222-1-1-1222-1-1-1-122222-1-1-1-1-10000000000-2-2-2-2-1-1-1-11111000110000
χ312222-12222-1-1-1222-1-1-1-1-2-22-2-2-1-1-1-1-1000000000022-2-211111111000-1-10000
χ322222-12222-1-1-1222-1-1-1-1-2-22-2-2-1-1-1-1-10000000000-2-2221111-1-1-1-1000110000
χ332222-12222-1-1-12-2-2-1-1-1-122-2-2-2-1111100000000002-22-2-1-111-1-111000-110000
χ342222-12222-1-1-12-2-2-1-1-1-122-2-2-2-111110000000000-22-22-1-11111-1-10001-10000
χ352222-12222-1-1-12-2-2-1-1-1-1-2-2-222-1111100000000002-2-2211-1-111-1-1000-110000
χ362222-12222-1-1-12-2-2-1-1-1-1-2-2-222-111110000000000-222-211-1-1-1-1110001-10000
χ374444-24-44-4-2-2-2-4442-2-2200-4002-2-2220000000000000000000000000000000
χ384444-24-44-4-2-2-2-4-4-42-2-2200400222-2-20000000000000000000000000000000
χ394444-2-44-44-2-2-2-400-222-24-40002000000000000000000-22000000000000000
χ404444-2-44-44-2-2-2-400-222-2-4400020000000000000000002-2000000000000000
χ414444-2-4-4-4-4-2-2-240022220004i−4i-200000000000000000000−2i2i0000000000000
χ424444-2-4-4-4-4-2-2-24002222000−4i4i-2000000000000000000002i−2i0000000000000
χ434-44-4440-40-44-404i−4i0-4400000004i−4i000000000000000000000000000000000
χ444-44-4440-40-44-40−4i4i0-440000000−4i4i000000000000000000000000000000000
χ454-44-44-4040-44-400004-40000000000000004i−4i0000000000000000000000000
χ464-44-44-4040-44-400004-4000000000000000−4i4i0000000000000000000000000
χ474-44-4-240-402-2204i−4i02-20000000−2i2i000000000000000000006−6i6−i6000000000
χ484-44-4-240-402-2204i−4i02-20000000−2i2i00000000000000000000−66−i6i6000000000
χ494-44-4-240-402-220−4i4i02-200000002i−2i000000000000000000006−6−i6i6000000000
χ504-44-4-240-402-220−4i4i02-200000002i−2i00000000000000000000−66i6−i6000000000
χ514-4-444040-4-4-44000400-40000000000000000−2i22i2−2i22i2000000000000000000000
χ524-4-444040-4-4-44000400-400000000000000002i2−2i22i2−2i2000000000000000000000
χ534-4-4440-404-4-44000-4004000000000000000022−22−2222000000000000000000000
χ544-4-4440-404-4-44000-40040000000000000000−222222−22000000000000000000000
χ5588-8-8800008-8-8000000000000000000000000000000000000000000000000
χ5688-8-8-40000-4440000000000000002i6−2i60000000000000000000000000000000
χ5788-8-8-40000-444000000000000000−2i62i60000000000000000000000000000000
χ588-88-8-4-80804-440000-44000000000000000000000000000000000000000000
χ598-8-88-4080-844-4000-400400000000000000000000000000000000000000000
χ608-8-88-40-80844-4000400-400000000000000000000000000000000000000000

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