Finite Group Databasebeta

← Group #70331

Character table — Group #70331

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11222222222224444448888888888888888882424242424242424
order122223444466666121212122244666688121212122424242422444488
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ4111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ51111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-1-111
χ61111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1
χ71111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ81111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ9222222-2-2-2-222222-2-2-2-200000000000000000000002-200
χ10222222-2-2-2-222222-2-2-2-20000000000000000000000-2200
χ1122222-12222-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-100000000
χ1222222-12222-1-1-1-1-1-1-1-1-122-2-2-1-1-1-1-2-21111111100000000
χ1322222-12222-1-1-1-1-1-1-1-1-1-2-2221111-2-2-1-1-1-1111100000000
χ1422222-12222-1-1-1-1-1-1-1-1-1-2-2-2-21111221111-1-1-1-100000000
χ15222-2-2222-2-22-2-22-222-2-2002i−2i0000002i2i−2i−2i000000000000
χ16222-2-2222-2-22-2-22-222-2-200−2i2i000000−2i−2i2i2i000000000000
χ17222-2-22-2-2222-2-22-2-2-222000000000000000000020-20000
χ18222-2-22-2-2222-2-22-2-2-2220000000000000000000-2020000
χ19222-2-2-122-2-2-111-11-1-111002i−2i−i3−i3i3i300−i−iii33−3−300000000
χ20222-2-2-122-2-2-111-11-1-111002i−2ii3i3−i3−i300−i−iii−3−33300000000
χ21222-2-2-122-2-2-111-11-1-11100−2i2i−i3−i3i3i300ii−i−i−3−33300000000
χ22222-2-2-122-2-2-111-11-1-11100−2i2ii3i3−i3−i300ii−i−i33−3−300000000
χ2322-22-222-22-2222-2-22-2-22000000002-200002-22-200000000
χ2422-22-222-22-2222-2-22-2-2200000000-220000-22-2200000000
χ2522-22-22-22-22222-2-2-222-20000000000000000000000002-2
χ2622-22-22-22-22222-2-2-222-2000000000000000000000000-22
χ2722-22-2-12-22-2-1-1-111-111-10000−i3i3−i3i32-2−i3i3−i3i3-11-1100000000
χ2822-22-2-12-22-2-1-1-111-111-10000−i3i3−i3i3-22i3−i3i3−i31-11-100000000
χ2922-22-2-12-22-2-1-1-111-111-10000i3−i3i3−i32-2i3−i3i3−i3-11-1100000000
χ3022-22-2-12-22-2-1-1-111-111-10000i3−i3i3−i3-22−i3i3−i3i31-11-100000000
χ3122-2-2222-2-222-2-2-222-22-22-2002-2-22000000000000000000
χ3222-2-2222-2-222-2-2-222-22-2-2200-222-2000000000000000000
χ3322-2-222-222-22-2-2-22-22-2200000000000000000020-200000
χ3422-2-222-222-22-2-2-22-22-22000000000000000000-20200000
χ3522-2-22-12-2-22-1111-1-11-112-200-111-1003−3−333−3−3300000000
χ3622-2-22-12-2-22-1111-1-11-112-200-111-100−333−3−333−300000000
χ3722-2-22-12-2-22-1111-1-11-11-22001-1-11003−3−33−333−300000000
χ3822-2-22-12-2-22-1111-1-11-11-22001-1-1100−333−33−3−3300000000
χ3944444-2-4-4-4-4-2-2-2-2-2222200000000000000000000000000
χ40444-4-4-2-4-444-222-2222-2-200000000000000000000000000
χ4144-44-4-2-44-44-2-2-2222-2-2200000000000000000000000000
χ4244-4-44-2-444-4-2222-22-22-200000000000000000000000000
χ438-800080000-80000000000000000000000000000000000
χ448-8000-400004−4i34i300000000000000000000000000000000
χ458-8000-4000044i3−4i300000000000000000000000000000000

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