Finite Group Databasebeta

← Group #10713918

Character table — Group #10713918

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222222222444444444444488888888888888161616161616161616161616242424242424242448484848
order1222234444688121266688812121224242424246688121224242424242424668812122424242416161616161616162244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1
χ922222222222-2-222222-2-2-2222-2-2-2-22222-2-222-2-2-2-2-2-2000000000000000000000000
χ1022222222222-2-222222-2-2-2222-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000000000000
χ1122222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1000000000000
χ1222222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-211-2-2111111000000000000
χ1322222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-1-2-211-2-211-1-1111122-1-1-2-2-1-11111000000000000
χ1422222-12222-122-1-1-1-1-1222-1-1-1-1-1-1-1-2-211-2-211-1-11111-2-2112211-1-1-1-1000000000000
χ1522222-12222-1-2-2-1-1-1-1-1-2-2-2-1-1-1111122-1-1-2-2-1-111111100−i3i300−i3i3−i3−i3i3i3000000000000
χ1622222-12222-1-2-2-1-1-1-1-1-2-2-2-1-1-1111122-1-1-2-2-1-111111100i3−i300i3−i3i3i3−i3−i3000000000000
χ1722222-12222-1-2-2-1-1-1-1-1-2-2-2-1-1-11111-2-211221111-1-1-1-100−i3i300−i3i3i3i3−i3−i3000000000000
χ1822222-12222-1-2-2-1-1-1-1-1-2-2-2-1-1-11111-2-211221111-1-1-1-100i3−i300i3−i3−i3−i3i3i3000000000000
χ19222-2-2222-2-2200222-2-20002-2-2000000002i−2i00002i2i−2i−2i00000000000022−2−2−i2−i2i2i20000
χ20222-2-2222-2-2200222-2-20002-2-2000000002i−2i00002i2i−2i−2i000000000000−2−222i2i2−i2−i20000
χ21222-2-2222-2-2200222-2-20002-2-200000000−2i2i0000−2i−2i2i2i00000000000022−2−2i2i2−i2−i20000
χ22222-2-2222-2-2200222-2-20002-2-200000000−2i2i0000−2i−2i2i2i000000000000−2−222−i2−i2i2i20000
χ23222-2-22-2-222222-2-22-2-22-2-2-22222-2-2000000002-200002-22200-2-20000000000000000
χ24222-2-22-2-222222-2-22-2-22-2-2-22222-2-2000000002-20000-22-2-200220000000000000000
χ25222-2-22-2-2222-2-2-2-22-2-2-222-222-2-22200000000-22000000002-2002-22-2000000000000
χ26222-2-22-2-2222-2-2-2-22-2-2-222-222-2-22200000000-2200000000-2200-22-22000000000000
χ27222-2-2-1-2-222-12211-1112-2-21-1-1-1-11100−i3i300−i3i3-11−i3i3−i3i32-2-1-10011−i3i3i3−i3000000000000
χ28222-2-2-1-2-222-12211-1112-2-21-1-1-1-11100−i3i300−i3i3-11−i3i3−i3i3-221100-1-1i3−i3−i3i3000000000000
χ29222-2-2-1-2-222-12211-1112-2-21-1-1-1-11100i3−i300i3−i3-11i3−i3i3−i32-2-1-10011i3−i3−i3i3000000000000
χ30222-2-2-1-2-222-12211-1112-2-21-1-1-1-11100i3−i300i3−i3-11i3−i3i3−i3-221100-1-1−i3i3i3−i3000000000000
χ31222-2-2-1-2-222-1-2-211-111-2221-1-111-1-100−i3i300−i3i31-1i3−i3i3−i300−i3i32-2i3−i3-11-11000000000000
χ32222-2-2-1-2-222-1-2-211-111-2221-1-111-1-100−i3i300−i3i31-1i3−i3i3−i300i3−i3-22−i3i31-11-1000000000000
χ33222-2-2-1-2-222-1-2-211-111-2221-1-111-1-100i3−i300i3−i31-1−i3i3−i3i300−i3i3-22i3−i31-11-1000000000000
χ34222-2-2-1-2-222-1-2-211-111-2221-1-111-1-100i3−i300i3−i31-1−i3i3−i3i300i3−i32-2−i3i3-11-11000000000000
χ3522-22-222-22-2222-2-2-22-2-2-2222-222-2-200000000-2200000000000000002-22-200000000
χ3622-22-222-22-2222-2-2-22-2-2-2222-222-2-200000000-220000000000000000-22-2200000000
χ3722-22-222-22-22-2-2-2-2-22-222-222-2-2-222000000002-2000000000000000000002i−2i2i−2i0000
χ3822-22-222-22-22-2-2-2-2-22-222-222-2-2-222000000002-200000000000000000000−2i2i−2i2i0000
χ3922-2-2222-2-22200-2-2-2-220002-2200002-22200-2-20000000000000000002−2−222−2−220000
χ4022-2-2222-2-22200-2-2-2-220002-2200002-22200-2-2000000000000000000−222−2−222−20000
χ4122-2-2222-2-22200-2-2-2-220002-220000-22-2-200220000000000000000002−2−22−222−20000
χ4222-2-2222-2-22200-2-2-2-220002-220000-22-2-20022000000000000000000−222−22−2−220000
χ4322-2-222-222-222222-2-22-22-2-22-2222200000000-2-20000000000000000000000002-200
χ4422-2-222-222-222222-2-22-22-2-22-2222200000000-2-2000000000000000000000000-2200
χ4522-2-222-222-22-2-222-2-222-22-22-2-2-2-2-20000000022000000000000000000000000002-2
χ4622-2-222-222-22-2-222-2-222-22-22-2-2-2-2-2000000002200000000000000000000000000-22
χ47444444-4-4-4-4400-4-4444000-4-4-4000000000000000000000000000000000000000000
χ4844444-2-4-4-4-4-20022-2-2-20002220000000000000023−23−2323000000000000000000000000
χ4944444-2-4-4-4-4-20022-2-2-200022200000000000000−232323−23000000000000000000000000
χ50444-4-4-244-4-4-200-2-2-222000-222000000004i−4i0000−2i−2i2i2i000000000000000000000000
χ51444-4-4-244-4-4-200-2-2-222000-22200000000−4i4i00002i2i−2i−2i000000000000000000000000
χ5244-44-44-44-4440044-44-4000-4-44000000000000000000000000000000000000000000
χ5344-44-4-24-44-4-244222-22-4-44-2-22-2-222000000002-20000000000000000000000000000
χ5444-44-4-24-44-4-2-4-4222-2244-4-2-2222-2-200000000-220000000000000000000000000000
χ5544-44-4-2-44-44-200-2-22-2200022-2000000−2i32i3002i3−2i3000000000000000000000000000000
χ5644-44-4-2-44-44-200-2-22-2200022-20000002i3−2i300−2i32i3000000000000000000000000000000
χ5744-4-44-24-4-44-2002222-2000-22-200004-4-2-20022000000000000000000000000000000
χ5844-4-44-24-4-44-2002222-2000-22-20000-442200-2-2000000000000000000000000000000
χ5944-4-44-2-444-4-244-2-222-2-44-42-22-2-2-2-200000000220000000000000000000000000000
χ6044-4-44-2-444-4-2-4-4-2-222-24-442-22222200000000-2-20000000000000000000000000000
χ618-800080000-842−420000000000042−420000000000000000000000000000000000000000
χ628-800080000-8−424200000000000−42420000000000000000000000000000000000000000
χ638-8000-40000442−4243−43000000000−222226−2600000000000000000000000000000000000000
χ648-8000-40000442−42−4343000000000−2222−262600000000000000000000000000000000000000
χ658-8000-400004−424243−4300000000022−22−262600000000000000000000000000000000000000
χ668-8000-400004−4242−434300000000022−2226−2600000000000000000000000000000000000000

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