Finite Group Databasebeta

← Group #11713145

Character table — Group #11713145

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1133666682424242424242424243232323211336666824242424242424242432323232
order12222222224444444436662222222222444444446666
χ111111111111111111111111111111111111111111111
χ2111111111-1-1-11-1-1-1-1-11111111111111-1-1-11-1-1-1-1-11111
χ311111111-11-1-1-1111-1-111-1-111111111-11-1-1-1111-1-111-1-1
χ411111111-1-111-1-1-1-11111-1-111111111-1-111-1-1-1-11111-1-1
χ5222222222000200000-1-1-1-1222222222000200000-1-1-1-1
χ622222222-2000-200000-1-11122222222-2000-200000-1-111
χ72-2-222-22-200000000002-2002-2-222-22-200000000002-200
χ82-2-222-22-20000000000-11−i3i32-2-222-22-20000000000-11−i3i3
χ92-2-222-22-20000000000-11i3−i32-2-222-22-20000000000-11i3−i3
χ103333-1-1-1-13111-11-1-1-1-100003333-1-1-1-13111-11-1-1-1-10000
χ113333-1-1-1-13-1-1-1-1-1111100003333-1-1-1-13-1-1-1-1-111110000
χ123333-1-1-1-1-31-1-111-1-11100003333-1-1-1-1-31-1-111-1-1110000
χ133333-1-1-1-1-3-1111-111-1-100003333-1-1-1-1-3-1111-111-1-10000
χ1466-2-22-2-22002-2000000000066-2-22-2-22002-20000000000
χ1566-2-22-2-2200-22000000000066-2-22-2-2200-220000000000
χ1666-2-2-222-202000-20000000066-2-2-222-202000-200000000
χ1766-2-2-222-20-200020000000066-2-2-222-20-2000200000000
χ186-62-222-2-2000000002i−2i00006-62-222-2-2000000002i−2i0000
χ196-62-222-2-200000000−2i2i00006-62-222-2-200000000−2i2i0000
χ206-62-2-2-2220000002-20000006-62-2-2-2220000002-2000000
χ216-62-2-2-222000000-220000006-62-2-2-222000000-22000000
χ226-6-66-22-22000000000000006-6-66-22-2200000000000000
χ231111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-111111-1-1-1-1
χ2511111111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-111
χ2611111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ27222222222000200000-1-1-1-1-2-2-2-2-2-2-2-2-2000-2000001111
χ2822222222-2000-200000-1-111-2-2-2-2-2-2-2-2200020000011-1-1
χ292-2-222-22-200000000002-200-222-2-22-220000000000-2200
χ302-2-222-22-20000000000-11−i3i3-222-2-22-2200000000001-1i3−i3
χ312-2-222-22-20000000000-11i3−i3-222-2-22-2200000000001-1−i3i3
χ323333-1-1-1-13111-11-1-1-1-10000-3-3-3-31111-3-1-1-11-111110000
χ333333-1-1-1-13-1-1-1-1-111110000-3-3-3-31111-311111-1-1-1-10000
χ343333-1-1-1-1-31-1-111-1-1110000-3-3-3-311113-111-1-111-1-10000
χ353333-1-1-1-1-3-1111-111-1-10000-3-3-3-3111131-1-1-11-1-1110000
χ3666-2-22-2-22002-20000000000-6-622-222-200-220000000000
χ3766-2-22-2-2200-220000000000-6-622-222-2002-20000000000
χ3866-2-2-222-202000-200000000-6-6222-2-220-2000200000000
χ3966-2-2-222-20-2000200000000-6-6222-2-2202000-200000000
χ406-62-222-2-2000000002i−2i0000-66-22-2-22200000000−2i2i0000
χ416-62-222-2-200000000−2i2i0000-66-22-2-222000000002i−2i0000
χ426-62-2-2-2220000002-2000000-66-2222-2-2000000-22000000
χ436-62-2-2-222000000-22000000-66-2222-2-20000002-2000000
χ446-6-66-22-2200000000000000-666-62-22-200000000000000

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