Finite Group Databasebeta

← Group #11713277

Character table — Group #11713277

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111122333344668888881212161616161616242424242424242424243232323248484848
order1222442222884422366688121224242424222444888866664444
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1111-11111-1-111-1-1-1-11-11111-1-1-1-111-1-11-11-1
χ61111111111-1-1111-11111-1-111-1-1-1-11-1-1-1-1-1111111-1-1-11-11
χ71111111111-1-111-111111-1-111-1-1-1-1-111111-1-1-1-1-1-111-11-11
χ81111111111-1-111-111111-1-111-1-1-1-1-11-1-1-1-11111-1-1111-11-1
χ92222222222222222-1-1-1-122-1-1-1-1-1-12200000000-1-1-1-10000
χ1022222222222222-2-2-1-1-1-122-1-1-1-1-1-1-2-20000000011110000
χ112222222222-2-2222-2-1-1-1-1-2-2-1-111112-200000000-1-1110000
χ122222222222-2-222-22-1-1-1-1-2-2-1-11111-220000000011-1-10000
χ132222-2-2222200-2-200222200-2-20000002-22-2000000000000
χ142222-2-2222200-2-200222200-2-2000000-22-22000000000000
χ1522-2-22-222-2-2002-2002-2-22002-200000000002i−2i2i−2i00000000
χ1622-2-22-222-2-2002-2002-2-22002-20000000000−2i2i−2i2i00000000
χ1722-2-2-2222-2-22-2-22002-2-222-2-2222-2-2000000000000000000
χ1822-2-2-2222-2-22-2-2200-111-12-21-1-1-1110000000000−i3i3−i3i30000
χ1922-2-2-2222-2-22-2-2200-111-12-21-1-1-1110000000000i3−i3i3−i30000
χ2022-2-2-2222-2-2-22-22002-2-22-22-22-2-222000000000000000000
χ2122-2-2-2222-2-2-22-2200-111-1-221-111-1-10000000000−i3i3i3−i30000
χ2222-2-2-2222-2-2-22-2200-111-1-221-111-1-10000000000i3−i3−i3i30000
χ23333333-1-1-1-133-1-1330000-1-1000000-1-111-1-111-1-1000011-1-1
χ24333333-1-1-1-133-1-1330000-1-1000000-1-1-1-111-1-1110000-1-111
χ25333333-1-1-1-133-1-1-3-30000-1-10000001111-1-111-1-10000-1-111
χ26333333-1-1-1-133-1-1-3-30000-1-100000011-1-111-1-111000011-1-1
χ27333333-1-1-1-1-3-3-1-13-3000011000000-1111-1-1-1-11100001-1-11
χ28333333-1-1-1-1-3-3-1-13-3000011000000-11-1-11111-1-10000-111-1
χ29333333-1-1-1-1-3-3-1-1-330000110000001-111-1-1-1-1110000-111-1
χ30333333-1-1-1-1-3-3-1-1-330000110000001-1-1-11111-1-100001-1-11
χ314444-4-4444400-4-400-2-2-2-200220000000000000000000000
χ3244-4-44-444-4-4004-400-222-200-220000000000000000000000
χ334-44-4004-44-400000044-4-400000000000000000000000000
χ344-44-4004-44-4000000-2-2220000i6−i6i6−i6000000000000000000
χ354-44-4004-44-4000000-2-2220000−i6i6−i6i6000000000000000000
χ364-4-44004-4-440000004-44-400000000000000000000000000
χ374-4-44004-4-44000000-22-220000i6−i6−i6i6000000000000000000
χ384-4-44004-4-44000000-22-220000−i6i6i6−i6000000000000000000
χ396666-6-6-2-2-2-2002200000000000000002-2-22000000000000
χ406666-6-6-2-2-2-200220000000000000000-222-2000000000000
χ4166-6-66-6-2-22200-22000000000000000000002i−2i−2i2i00000000
χ4266-6-66-6-2-22200-2200000000000000000000−2i2i2i−2i00000000
χ4366-6-6-66-2-2226-62-2000000-22000000000000000000000000
χ4466-6-6-66-2-222-662-20000002-2000000000000000000000000
χ4512-1212-1200-44-44000000000000000000000000000000000000
χ4612-12-121200-444-4000000000000000000000000000000000000

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