Finite Group Databasebeta

← Group #85521

Character table — Group #85521

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222666688888888888888881212121212121212121224242424
order122244442244224436666666121212121212121224888888882444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11-1-11
χ411111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-111-1
χ51111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1
χ61111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111
χ71111-1-1-1-1-1-111-1-111111-1-1-1-11-1-1-1-111111-111-1-1-1-1111-11-1
χ81111-1-1-1-1-1-111-1-111111-1-1-1-11-1-1-1-111111-1-1-11111-1-1-11-11
χ92222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000
χ1022222222-2-2-2-22222-1-1-11111-1-1-1-1-11111-2-2000000000000
χ112222-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-111111111-22000000000000
χ122222-2-2-2-2-2-222-2-222-1-1-11111-11111-1-1-1-12-2000000000000
χ1322-2-22i2i−2i−2i2-22i−2i0000-11-111-1-11ii−i−iii−i−i00−i2i22−2−i2i22−20000
χ1422-2-22i2i−2i−2i2-22i−2i0000-11-111-1-11ii−i−iii−i−i00i2−i2−22i2−i2−220000
χ1522-2-22i2i−2i−2i-22−2i2i0000-11-1-1-1111ii−i−i−i−iii00−i2i22−2i2−i2−220000
χ1622-2-22i2i−2i−2i-22−2i2i0000-11-1-1-1111ii−i−i−i−iii00i2−i2−22−i2i22−20000
χ1722-2-2−2i−2i2i2i2-2−2i2i0000-11-111-1-11−i−iii−i−iii00−i2i2−22−i2i2−220000
χ1822-2-2−2i−2i2i2i2-2−2i2i0000-11-111-1-11−i−iii−i−iii00i2−i22−2i2−i22−20000
χ1922-2-2−2i−2i2i2i-222i−2i0000-11-1-1-1111−i−iiiii−i−i00−i2i2−22i2−i22−20000
χ2022-2-2−2i−2i2i2i-222i−2i0000-11-1-1-1111−i−iiiii−i−i00i2−i22−2−i2i2−220000
χ212-2-222-22-200002-22-22-2-2000022-22-2000000000000000000
χ222-2-222-22-200002-22-2-111−i3i3−i3i3-1-11-11−i3i3−i3i300000000000000
χ232-2-222-22-200002-22-2-111i3−i3i3−i3-1-11-11i3−i3i3−i300000000000000
χ242-2-22-22-220000-222-22-2-200002-22-22000000000000000000
χ252-2-22-22-220000-222-2-111−i3i3−i3i3-11-11-1i3−i3i3−i300000000000000
χ262-2-22-22-220000-222-2-111i3−i3i3−i3-11-11-1−i3i3−i3i300000000000000
χ27333333333333-1-1-1-10000000000000000-1-111111111-1-1-1-1
χ28333333333333-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-11111
χ2933333333-3-3-3-3-1-1-1-10000000000000000111111-1-1-1-1-111-1
χ3033333333-3-3-3-3-1-1-1-1000000000000000011-1-1-1-111111-1-11
χ313333-3-3-3-333-3-311-1-100000000000000001-111-1-111-1-1-1-111
χ323333-3-3-3-333-3-311-1-100000000000000001-1-1-111-1-11111-1-1
χ333333-3-3-3-3-3-33311-1-10000000000000000-1111-1-1-1-111-11-11
χ343333-3-3-3-3-3-33311-1-10000000000000000-11-1-11111-1-11-11-1
χ3544-4-44i4i−4i−4i4-44i−4i00001-11-1-111-1−i−iii−i−iii00000000000000
χ3644-4-44i4i−4i−4i-44−4i4i00001-1111-1-1-1−i−iiiii−i−i00000000000000
χ3744-4-4−4i−4i4i4i4-4−4i4i00001-11-1-111-1ii−i−iii−i−i00000000000000
χ3844-4-4−4i−4i4i4i-444i−4i00001-1111-1-1-1ii−i−i−i−iii00000000000000
χ394-44-44i−4i−4i4i0000000011-1−i3i3i3−i3-1−iii−i3−3−3300000000000000
χ404-44-44i−4i−4i4i0000000011-1i3−i3−i3i3-1−iii−i−333−300000000000000
χ414-44-44i−4i−4i4i00000000-2-22000022i−2i−2i2i000000000000000000
χ424-44-4−4i4i4i−4i0000000011-1−i3i3i3−i3-1i−i−ii−333−300000000000000
χ434-44-4−4i4i4i−4i0000000011-1i3−i3−i3i3-1i−i−ii3−3−3300000000000000
χ444-44-4−4i4i4i−4i00000000-2-2200002−2i2i2i−2i000000000000000000
χ456-6-666-66-60000-22-22000000000000000000000000000000
χ466-6-66-66-6600002-2-22000000000000000000000000000000

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