Finite Group Databasebeta

← Group #76216

Character table — Group #76216

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order12222222344444444666666644121212121212121212121212444412121212121212122244444444444444
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
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-111-1-1-1-111-1-1
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-111-1-11111-1-111
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-111-1-1-1-111
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-11111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ11111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111
χ12111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-111-1-111-1-111-1-1
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ1722222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ1822222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-22-2-1-111-1-1110000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-22-2211-1-111-1-10000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-1-1-111110000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-2221111-1-1-1-10000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-2-22-1-11111-1-10000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-222-211-1-1-1-1110000000000000000
χ25222-22-2-2-2222-2-2000022-22-2-2-20022-2-2000000000000000000002-22-2000000000000
χ26222-22-2-2-2222-2-2000022-22-2-2-20022-2-200000000000000000000-22-22000000000000
χ27222-22-2-2-22-2-222000022-22-2-2-200-2-222000000000000000000002-2-22000000000000
χ28222-22-2-2-22-2-222000022-22-2-2-200-2-22200000000000000000000-222-2000000000000
χ2922-22-2-2-2222i−2i2i−2i22-2-22-2-2-222-22i−2i2i−2i2i−2i22-2-22i2i−2i−2i0000000000000000000000000000
χ3022-22-2-2-2222i−2i2i−2i-2-2222-2-2-222-2−2i2i2i−2i2i−2i-2-222−2i−2i2i2i0000000000000000000000000000
χ3122-22-2-2-222−2i2i−2i2i22-2-22-2-2-222-2−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i0000000000000000000000000000
χ3222-22-2-2-222−2i2i−2i2i-2-2222-2-2-222-22i−2i−2i2i−2i2i-2-2222i2i−2i−2i0000000000000000000000000000
χ3322-22-2-2-22-12i−2i2i−2i22-2-2-1111-1-112i−2i−ii−ii-1-111−i−iii0000−i3i3−i3i33−33−30000000000000000
χ3422-22-2-2-22-12i−2i2i−2i22-2-2-1111-1-112i−2i−ii−ii-1-111−i−iii0000i3−i3i3−i3−33−330000000000000000
χ3522-22-2-2-22-12i−2i2i−2i-2-222-1111-1-11−2i2i−ii−ii11-1-1ii−i−i0000−i3i3i3−i33−3−330000000000000000
χ3622-22-2-2-22-12i−2i2i−2i-2-222-1111-1-11−2i2i−ii−ii11-1-1ii−i−i0000i3−i3−i3i3−333−30000000000000000
χ3722-22-2-2-22-1−2i2i−2i2i22-2-2-1111-1-11−2i2ii−ii−i-1-111ii−i−i0000−i3i3−i3i3−33−330000000000000000
χ3822-22-2-2-22-1−2i2i−2i2i22-2-2-1111-1-11−2i2ii−ii−i-1-111ii−i−i0000i3−i3i3−i33−33−30000000000000000
χ3922-22-2-2-22-1−2i2i−2i2i-2-222-1111-1-112i−2ii−ii−i11-1-1−i−iii0000−i3i3i3−i3−333−30000000000000000
χ4022-22-2-2-22-1−2i2i−2i2i-2-222-1111-1-112i−2ii−ii−i11-1-1−i−iii0000i3−i3−i3i33−3−330000000000000000
χ4122-2-2-222-222i−2i−2i2i00002-22-2-2-22002i−2i−2i2i0000000000000000000000002-200002i−2i0000
χ4222-2-2-222-222i−2i−2i2i00002-22-2-2-22002i−2i−2i2i000000000000000000000000-220000−2i2i0000
χ4322-2-2-222-22−2i2i2i−2i00002-22-2-2-2200−2i2i2i−2i0000000000000000000000002-20000−2i2i0000
χ4422-2-2-222-22−2i2i2i−2i00002-22-2-2-2200−2i2i2i−2i000000000000000000000000-2200002i−2i0000
χ452-22-2-2-222200002-22-2-2-2-222-220000002-22-200000000000000000000000000002-22-2
χ462-22-2-2-222200002-22-2-2-2-222-220000002-22-20000000000000000000000000000-22-22
χ472-22-2-2-22220000-22-22-2-2-222-22000000-22-2200000000000000000000000000002-2-22
χ482-22-2-2-22220000-22-22-2-2-222-22000000-22-220000000000000000000000000000-222-2
χ492-2-2-222-22200002-2-22-222-22-2-20000002-2-2200000000000000000000002i−2i2i−2i000000
χ502-2-2-222-22200002-2-22-222-22-2-20000002-2-220000000000000000000000−2i2i−2i2i000000
χ512-2-2-222-2220000-222-2-222-22-2-2000000-222-200000000000000000000002i−2i−2i2i000000
χ522-2-2-222-2220000-222-2-222-22-2-2000000-222-20000000000000000000000−2i2i2i−2i000000
χ53444-44-4-4-4-244-4-40000-2-22-222200-2-222000000000000000000000000000000000000
χ54444-44-4-4-4-2-4-4440000-2-22-22220022-2-2000000000000000000000000000000000000
χ5544-4-4-444-4-24i−4i−4i4i0000-22-2222-200−2i2i2i−2i000000000000000000000000000000000000
χ5644-4-4-444-4-2−4i4i4i−4i0000-22-2222-2002i−2i−2i2i000000000000000000000000000000000000
χ574-444-44-4-4400000000-4-444-44-4000000000000000000000000000000000000000000
χ584-444-44-4-4-20000000022-2-22-22000000000023−2323−230000000000000000000000000000
χ594-444-44-4-4-20000000022-2-22-220000000000−2323−23230000000000000000000000000000
χ604-44-4-4-444-200004-44-4222-2-22-2000000-22-2200000000000000000000000000000000
χ614-44-4-4-444-20000-44-44222-2-22-20000002-22-200000000000000000000000000000000
χ624-4-444-44-4400000000-44-4-4-444000000000000000000000000000000000000000000
χ634-4-444-44-4-2000000002-2222-2-20000000000−2i32i32i3−2i30000000000000000000000000000
χ644-4-444-44-4-2000000002-2222-2-200000000002i3−2i3−2i32i30000000000000000000000000000
χ654-4-4-444-44-200004-4-442-2-22-222000000-222-200000000000000000000000000000000
χ664-4-4-444-44-20000-444-42-2-22-2220000002-2-2200000000000000000000000000000000

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