Finite Group Databasebeta

← Group #11713573

Character table — Group #11713573

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1122233446668888121212121212161616242424242424242432323232323248484848
order1224422882442368888888612122244488866242424242488
χ11111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-1
χ3111111111111-111-1111111111-11111-111-1-111-1-1-1-1-1-1
χ4111111111111-111-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111-1-1111111-1-1-111111111-1-1-1-1-11111-1-1-1-111-1-1
χ61111111-1-1111111-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-111
χ71111111-1-1111-1111-1-11111111-1-1-1-1-1111-1-1-1-111-1-111
χ81111111-1-1111-1111-1-1-1-1-1-1111-111111-1-1-1-1-1-11111-1-1
χ92222222222222-1-12220000-1-1-120000200-1-1-1-1-1-10000
χ10222222222222-2-1-1-2220000-1-1-1-20000-20011-1-1110000
χ112222222-2-22222-1-1-2-2-20000-1-1-120000-200-1-111110000
χ122222222-2-2222-2-1-12-2-20000-1-1-1-200002001111-1-10000
χ13222-2-2222i−2i2-2-202202i−2i00002-2-200000000002i−2i000000
χ14222-2-2222i−2i2-2-20-1-102i−2i0000-11100000000−i3i3−ii3−30000
χ15222-2-2222i−2i2-2-20-1-102i−2i0000-11100000000i3−i3−ii−330000
χ16222-2-222−2i2i2-2-20220−2i2i00002-2-20000000000−2i2i000000
χ17222-2-222−2i2i2-2-20-1-10−2i2i0000-11100000000−i3i3i−i−330000
χ18222-2-222−2i2i2-2-20-1-10−2i2i0000-11100000000i3−i3i−i3−30000
χ1922-22-22200-22-20220002222-22-2000000-2-20000000000
χ2022-22-22200-22-2022000-2-2-2-2-22-2000000220000000000
χ2122-2-222200-2-220220000000-2-2202-2-220000000000000
χ2222-2-222200-2-220220000000-2-220-222-20000000000000
χ2333333-1-133-1-1-13003-1-111-1-1000-111-1-1-11-10000001-11-1
χ2433333-1-133-1-1-13003-1-1-1-111000-1-1-111-1-11000000-11-11
χ2533333-1-133-1-1-1-300-3-1-111-1-1000111-1-111-1000000-11-11
χ2633333-1-133-1-1-1-300-3-1-1-1-1110001-1-1111-110000001-11-1
χ2733333-1-1-3-3-1-1-1300-31111-1-1000-1-1-11111-10000001-1-11
χ2833333-1-1-3-3-1-1-1300-311-1-111000-111-1-11-11000000-111-1
χ2933333-1-1-3-3-1-1-1-30031111-1-10001-1-111-11-1000000-111-1
χ3033333-1-1-3-3-1-1-1-300311-1-111000111-1-1-1-110000001-1-11
χ3144-44-44400-44-40-2-200000002-22000000000000000000
χ3244-4-444400-4-440-2-2000000022-2000000000000000000
χ334-4000-440000004-400022−2222−22000000000000000000000
χ344-4000-440000004-4000−2222−2222000000000000000000000
χ35666-6-6-2-26i−6i-2220000−2i2i0000000000000000000000000
χ36666-6-6-2-2−6i6i-22200002i−2i0000000000000000000000000
χ3766-66-6-2-2002-2200000022-2-2000000000-220000000000
χ3866-66-6-2-2002-22000000-2-2220000000002-20000000000
χ3966-6-66-2-20022-2000000000000002-22-20000000000000
χ4066-6-66-2-20022-200000000000000-22-220000000000000
χ418-8000-88000000-440000000000000000000000000000
χ4212-120004-40000000000022−22−2222000000000000000000000
χ4312-120004-400000000000−222222−22000000000000000000000

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