Finite Group Databasebeta

← Group #11713877

Character table — Group #11713877

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111122333344668888881212161616161616242424242424242424243232323248484848
order12224422228844344666881212242424244444448888121212124444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111-1-111111111111-111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-11111-1111-1-111-1-1-1-1111-111-1-1-1-111-1-11-1-11
χ61111111111-1-11111-1111-1-111-1-1-1-11-1-1-1-1-1111111-1-1-111-1
χ71111111111-1-1111-11111-1-111-1-1-1-1-111111-1-1-1-1-1-111-111-1
χ81111111111-1-1111-11111-1-111-1-1-1-1-1-1-11-1-11111-1-1111-1-11
χ922222222222222-122-1-1-122-1-1-1-1-1-12002000000-1-1-1-10000
χ1022222222222222-1-2-2-1-1-122-1-1-1-1-1-1-200-200000011110000
χ112222222222-2-222-12-2-1-1-1-2-2-1-11111200-2000000-1-1110000
χ122222222222-2-222-1-22-1-1-1-2-2-1-11111-200200000011-1-10000
χ132222-2-2222200-2-220022200-2-2000002-202-2000000000000
χ142222-2-2222200-2-220022200-2-200000-220-22000000000000
χ152-2-222-22-22-2002-2200-2-2200-2200000000002i−2i2i−2i00000000
χ162-2-222-22-22-2002-2200-2-2200-220000000000−2i2i−2i2i00000000
χ172-2-22-222-22-22i−2i-22200-2-222i−2i2-22i2i−2i−2i000000000000000000
χ182-2-22-222-22-22i−2i-22-10011-12i−2i-11−i−iii00000000003−3−i3i30000
χ192-2-22-222-22-22i−2i-22-10011-12i−2i-11−i−iii0000000000−33i3−i30000
χ202-2-22-222-22-2−2i2i-22200-2-22−2i2i2-2−2i−2i2i2i000000000000000000
χ212-2-22-222-22-2−2i2i-22-10011-1−2i2i-11ii−i−i00000000003−3i3−i30000
χ222-2-22-222-22-2−2i2i-22-10011-1−2i2i-11ii−i−i0000000000−33−i3i30000
χ23333333-1-1-1-133-1-1033000-1-1000000-111-1-1-111-1-1000011-1-1
χ24333333-1-1-1-133-1-1033000-1-1000000-1-1-1-111-1-1110000-1-111
χ25333333-1-1-1-133-1-10-3-3000-1-10000001111-1-111-1-10000-1-111
χ26333333-1-1-1-133-1-10-3-3000-1-10000001-1-1111-1-111000011-1-1
χ27333333-1-1-1-1-3-3-1-103-300011000000-1111-1-1-1-11100001-11-1
χ28333333-1-1-1-1-3-3-1-103-300011000000-1-1-111111-1-10000-11-11
χ29333333-1-1-1-1-3-3-1-10-3300011000000111-1-1-1-1-1110000-11-11
χ30333333-1-1-1-1-3-3-1-10-33000110000001-1-1-11111-1-100001-11-1
χ314444-4-4444400-4-4-200-2-2-200220000000000000000000000
χ3244-4-40044-4-40000400-44-400000000000000000000000000
χ3344-4-40044-4-40000-2002-2200006−66−6000000000000000000
χ3444-4-40044-4-40000-2002-220000−66−66000000000000000000
χ354-44-4004-4-4400004004-4-400000000000000000000000000
χ364-44-4004-4-440000-200-2220000i6−i6−i6i6000000000000000000
χ374-44-4004-4-440000-200-2220000−i6i6i6−i6000000000000000000
χ384-4-444-44-44-4004-4-20022-2002-20000000000000000000000
χ396666-6-6-2-2-2-200220000000000000002-20-22000000000000
χ406666-6-6-2-2-2-20022000000000000000-2202-2000000000000
χ416-6-666-6-22-2200-22000000000000000000002i−2i−2i2i00000000
χ426-6-666-6-22-2200-2200000000000000000000−2i2i2i−2i00000000
χ436-6-66-66-22-226i−6i2-2000000−2i2i000000000000000000000000
χ446-6-66-66-22-22−6i6i2-20000002i−2i000000000000000000000000
χ451212-12-1200-4-444000000000000000000000000000000000000
χ4612-1212-1200-444-4000000000000000000000000000000000000

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