Finite Group Databasebeta

← Group #10950094

Character table — Group #10950094

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222222222224444444444444444488888888888816161616161616161616161624242424242424242424242424242424
order12222344446668822446688812121212242424246688121224242424242444441212121212121212888888881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ6111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ7111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911-1-111-1-111111-1-11-11-1-1-1-1111-1-11-1-1-1-11-11-11-11111-1-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011-1-111-1-111111-1-11-11-1-1-1-1111-1-11-1-1-1-11-11-11-11111-1-11-11-111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111-1-111-1-111111-1-11-11-1-1-1-1111-1-11-1-1-1-11-11-11-11111-1-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ1211-1-111-1-111111-1-11-11-1-1-1-1111-1-11-1-1-1-11-11-11-11111-1-1-11-11-1-111-1-111-1-111-1-11111-1-111-1-1
χ1311-1-111-1-111111-1-1-11-11-1-1-1111-1-11-1-1-1-1-11-11-1111-1-1111-1-11-1-11111-1-111-1-1-1-11111-1-1-1-111
χ1411-1-111-1-111111-1-1-11-11-1-1-1111-1-11-1-1-1-1-11-11-1111-1-1111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ1511-1-111-1-111111-1-1-11-11-1-1-1111-1-11-1-1-1-1-11-11-1111-1-111-111-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ1611-1-111-1-111111-1-1-11-11-1-1-1111-1-11-1-1-1-1-11-11-1111-1-111-111-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ172222222222222-2-2222222-2-2-22222-2-2-2-222-2-222-2-2-2-2-2-20000000000000000000000000000
χ182222222222222-2-2-2-2-2-222-2-2-22222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000
χ19222222-2-2-2-2222002-2-2222000-2-2-2-200002-200-2200000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ20222222-2-2-2-2222002-2-2222000-2-2-2-200002-200-2200000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ21222222-2-2-2-222200-222-222000-2-2-2-20000-22002-200000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ22222222-2-2-2-222200-222-222000-2-2-2-20000-22002-200000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ2322222-12222-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ2422222-12222-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ2522222-12222-1-1-122-2-2-2-2-1-1222-1-1-1-1-1-1-1-111-2-211-1-1111122-2-21111-1-1-1-10000000000000000
χ2622222-12222-1-1-122-2-2-2-2-1-1222-1-1-1-1-1-1-1-111-2-211-1-11111-2-222-1-1-1-111110000000000000000
χ2722222-12222-1-1-1-2-22222-1-1-2-2-2-1-1-1-11111-1-1-2-2-1-11111110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ2822222-12222-1-1-1-2-22222-1-1-2-2-2-1-1-1-11111-1-1-2-2-1-11111110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ2922222-12222-1-1-1-2-2-2-2-2-2-1-1-2-2-2-1-1-1-1111111221111-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000000000
χ3022222-12222-1-1-1-2-2-2-2-2-2-1-1-2-2-2-1-1-1-1111111221111-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000000000
χ31222-2-222-22-2-2-222200002-2-22-2-22-2222-2-20000002-2000000000000000000002i−2i2i−2i00000000
χ32222-2-222-22-2-2-222200002-2-22-2-22-2222-2-20000002-200000000000000000000−2i2i−2i2i00000000
χ33222-2-222-22-2-2-22-2-200002-22-22-22-22-2-222000000-2200000000000000002i−2i2i−2i000000000000
χ34222-2-222-22-2-2-22-2-200002-22-22-22-22-2-222000000-220000000000000000−2i2i−2i2i000000000000
χ3522-22-22-222-2-2-22220000-22-2-22-2-22222-2-2000000-2200000000000000002i−2i−2i2i000000000000
χ3622-22-22-222-2-2-22220000-22-2-22-2-22222-2-2000000-220000000000000000−2i2i2i−2i000000000000
χ3722-22-22-222-2-2-22-2-20000-2222-2-2-222-2-2220000002-2000000000000000000002i−2i−2i2i00000000
χ3822-22-22-222-2-2-22-2-20000-2222-2-2-222-2-2220000002-200000000000000000000−2i2i2i−2i00000000
χ3922-2-22222-2-22220022-2-2-2-2000-222-200002200-2-200000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ4022-2-22222-2-22220022-2-2-2-2000-222-200002200-2-200000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ4122-2-22222-2-222200-2-222-2-2000-222-20000-2-2002200000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ4222-2-22222-2-222200-2-222-2-2000-222-20000-2-2002200000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ4322-2-222-2-222222222-22-2-2-22-2-22-2-2222222-2-222-2-2-2-2-2220000000000000000000000000000
χ4422-2-222-2-22222222-22-22-2-22-2-22-2-222222-222-2-22-2-222-2-20000000000000000000000000000
χ4522-2-22-1-2-222-1-1-1222-22-2112-2-2-111-1-1-1-1-1-11-22-111111-1-10000−i3i3i3−i3−i3i3i3−i30000000000000000
χ4622-2-22-1-2-222-1-1-1222-22-2112-2-2-111-1-1-1-1-1-11-22-111111-1-10000i3−i3−i3i3i3−i3−i3i30000000000000000
χ4722-2-22-1-2-222-1-1-122-22-22112-2-2-111-1-1-1-1-11-12-21-111-1-1110000−i3i3i3−i3i3−i3−i3i30000000000000000
χ4822-2-22-1-2-222-1-1-122-22-22112-2-2-111-1-1-1-1-11-12-21-111-1-1110000i3−i3−i3i3−i3i3i3−i30000000000000000
χ4922-2-22-1-2-222-1-1-1-2-22-22-211-222-111-11111-112-2-11-1-1-1-1112-22-2-1-111-1-1110000000000000000
χ5022-2-22-1-2-222-1-1-1-2-22-22-211-222-111-11111-112-2-11-1-1-1-111-22-2211-1-111-1-10000000000000000
χ5122-2-22-1-2-222-1-1-1-2-2-22-2211-222-111-111111-1-221-1-1-111-1-12-2-2211-1-1-1-1110000000000000000
χ5222-2-22-1-2-222-1-1-1-2-2-22-2211-222-111-111111-1-221-1-1-111-1-1-222-2-1-11111-1-10000000000000000
χ5344444-2-4-4-4-4-2-2-2004-4-44-2-200022220000-22002-20000000000000000000000000000000000
χ5444444-2-4-4-4-4-2-2-200-444-4-2-2000222200002-200-220000000000000000000000000000000000
χ55444-4-44-44-44-4-440000004-40004-44-400000000000000000000000000000000000000000000
χ56444-4-4-24-44-422-2440000-22-44-42-22-2-2-222000000-2200000000000000000000000000000000
χ57444-4-4-24-44-422-2-4-40000-224-442-22-222-2-20000002-200000000000000000000000000000000
χ58444-4-4-2-44-4422-2000000-22000-22-2200000000000023−2323−230000000000000000000000000000
χ59444-4-4-2-44-4422-2000000-22000-22-22000000000000−2323−23230000000000000000000000000000
χ6044-44-444-4-44-4-44000000-4400044-4-400000000000000000000000000000000000000000000
χ6144-44-4-24-4-4422-20000002-2000-2-22200000000000023−23−23230000000000000000000000000000
χ6244-44-4-24-4-4422-20000002-2000-2-222000000000000−232323−230000000000000000000000000000
χ6344-44-4-2-444-422-24400002-2-4-4422-2-2-2-2220000002-200000000000000000000000000000000
χ6444-44-4-2-444-422-2-4-400002-244-422-2-222-2-2000000-2200000000000000000000000000000000
χ6544-4-44-244-4-4-2-2-20044-4-4220002-2-220000-2-200220000000000000000000000000000000000
χ6644-4-44-244-4-4-2-2-200-4-444220002-2-2200002200-2-20000000000000000000000000000000000
χ678-80008000000-842−42000000000000042−42000000000000000000000000000000000000000000
χ688-80008000000-8−42420000000000000−4242000000000000000000000000000000000000000000
χ698-8000-40000−4i34i3442−420000000000000−22222i6−2i60000000000000000000000000000000000000000
χ708-8000-40000−4i34i34−4242000000000000022−22−2i62i60000000000000000000000000000000000000000
χ718-8000-400004i3−4i3442−420000000000000−2222−2i62i60000000000000000000000000000000000000000
χ728-8000-400004i3−4i34−4242000000000000022−222i6−2i60000000000000000000000000000000000000000

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