Finite Group Databasebeta

← Group #74696

Character table — Group #74696

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order12222222222234444666666644666612121212121212122444661212121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111111111-1-1-1-1-1-1
χ911111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-111
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1
χ1311111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-1111111-1-111-1-1-1-1-1-111
χ1411111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-1-1-111-1-1111111-1-1
χ1511111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-11111-1-1-1-111-1-111-1-1
χ1611111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-1-1-11111-1-111-1-111
χ17222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ18222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ19222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-2-22-1-1-1-111110000000000000000
χ20222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-222-21111-1-1-1-10000000000000000
χ2122222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-111-1-1110000000000000000
χ2222222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-22211-1-111-1-10000000000000000
χ2322222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-22-2-1-11111-1-10000000000000000
χ2422222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-22-2211-1-1-1-1110000000000000000
χ25222-2-2-2-2222-2-222i2i−2i−2i22-22-2-2-22i−2i22-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ26222-2-2-2-2222-2-22−2i−2i2i2i22-22-2-2-2−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ27222-2-2-2-2222-2-2-12i2i−2i−2i-1-11-11112i−2i-1-111−i−iii−i−iii0000−i3i3−i3i33−33−30000000000000000
χ28222-2-2-2-2222-2-2-12i2i−2i−2i-1-11-11112i−2i-1-111−i−iii−i−iii0000i3−i3i3−i3−33−330000000000000000
χ29222-2-2-2-2222-2-2-1−2i−2i2i2i-1-11-1111−2i2i-1-111ii−i−iii−i−i0000−i3i3−i3i3−33−330000000000000000
χ30222-2-2-2-2222-2-2-1−2i−2i2i2i-1-11-1111−2i2i-1-111ii−i−iii−i−i0000i3−i3i3−i33−33−30000000000000000
χ31222-2-2-2-22-2-22222i2i−2i−2i22-22-2-2-2−2i2i-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ32222-2-2-2-22-2-2222−2i−2i2i2i22-22-2-2-22i−2i-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ33222-2-2-2-22-2-222-12i2i−2i−2i-1-11-1111−2i2i11-1-1−i−iiiii−i−i0000−i3i3i3−i33−3−330000000000000000
χ34222-2-2-2-22-2-222-12i2i−2i−2i-1-11-1111−2i2i11-1-1−i−iiiii−i−i0000i3−i3−i3i3−333−30000000000000000
χ35222-2-2-2-22-2-222-1−2i−2i2i2i-1-11-11112i−2i11-1-1ii−i−i−i−iii0000−i3i3i3−i3−333−30000000000000000
χ36222-2-2-2-22-2-222-1−2i−2i2i2i-1-11-11112i−2i11-1-1ii−i−i−i−iii0000i3−i3−i3i33−3−330000000000000000
χ3722-22-22-2-2000022-22-22-2-2-22-220000002-22-20000000000000000000000002i−2i00002i−2i
χ3822-22-22-2-2000022-22-22-2-2-22-220000002-22-2000000000000000000000000−2i2i0000−2i2i
χ3922-22-22-2-200002-22-222-2-2-22-22000000-22-220000000000000000000000002i−2i0000−2i2i
χ4022-22-22-2-200002-22-222-2-2-22-22000000-22-22000000000000000000000000−2i2i00002i−2i
χ4122-2-22-22-2000022i−2i−2i2i2-22-2-22-20000002i−2i−2i2i00000000000000000000002-200002i−2i00
χ4222-2-22-22-2000022i−2i−2i2i2-22-2-22-20000002i−2i−2i2i0000000000000000000000-220000−2i2i00
χ4322-2-22-22-200002−2i2i2i−2i2-22-2-22-2000000−2i2i2i−2i00000000000000000000002-20000−2i2i00
χ4422-2-22-22-200002−2i2i2i−2i2-22-2-22-2000000−2i2i2i−2i0000000000000000000000-2200002i−2i00
χ452-2-22-2-2222-22-220000-2-2-2222-2002-22-2000000000000000000002-2000000002-20000
χ462-2-22-2-2222-22-220000-2-2-2222-2002-22-200000000000000000000-2200000000-220000
χ472-2-22-2-222-22-2220000-2-2-2222-200-22-22000000000000000000002-200000000-220000
χ482-2-22-2-222-22-2220000-2-2-2222-200-22-2200000000000000000000-22000000002-20000
χ492-2-2-222-222-2-2220000-2-222-2-22002-2-2200000000000000000000002-22-20000000000
χ502-2-2-222-222-2-2220000-2-222-2-22002-2-220000000000000000000000-22-220000000000
χ512-2-2-222-22-222-220000-2-222-2-2200-222-200000000000000000000002-2-220000000000
χ522-2-2-222-22-222-220000-2-222-2-2200-222-20000000000000000000000-222-20000000000
χ5344-44-44-4-40000-24-44-4-2222-22-2000000-22-2200000000000000000000000000000000
χ5444-44-44-4-40000-2-44-44-2222-22-20000002-22-200000000000000000000000000000000
χ5544-4-44-44-40000-24i−4i−4i4i-22-222-22000000−2i2i2i−2i00000000000000000000000000000000
χ5644-4-44-44-40000-2−4i4i4i−4i-22-222-220000002i−2i−2i2i00000000000000000000000000000000
χ574-4444-4-4-4000040000-444-44-4-4000000000000000000000000000000000000000000
χ584-4444-4-4-40000-200002-2-22-222000000000023−2323−230000000000000000000000000000
χ594-4444-4-4-40000-200002-2-22-2220000000000−2323−23230000000000000000000000000000
χ604-44-4-444-4000040000-44-4-4-444000000000000000000000000000000000000000000
χ614-44-4-444-40000-200002-2222-2-20000000000−2i32i32i3−2i30000000000000000000000000000
χ624-44-4-444-40000-200002-2222-2-200000000002i3−2i3−2i32i30000000000000000000000000000
χ634-4-44-4-4444-44-4-20000222-2-2-2200-22-22000000000000000000000000000000000000
χ644-4-44-4-444-44-44-20000222-2-2-22002-22-2000000000000000000000000000000000000
χ654-4-4-444-444-4-44-2000022-2-222-200-222-2000000000000000000000000000000000000
χ664-4-4-444-44-444-4-2000022-2-222-2002-2-22000000000000000000000000000000000000

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