Finite Group Databasebeta

← Group #11922285

Character table — Group #11922285

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222444666688881212121212121212121216161616161616161616242424242424242424243636363648484848727272
order1222366641212444436662444668812123666121212121212481212121224242424248812121212448
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ311111111111-1-11111111-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111-1-11111111-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-111-1-111-11-1
χ611111111-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1-1-1-1-1111-11
χ711111111-1-1-1-1-1111111-1111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-11-1-111-1-11-11
χ811111111-1-1-1-1-1111111-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-111111-1-1-11-1
χ9222222222222222-1-1-1-12200220022-1-1-1-1-1-1-1-1-1-100000000002200-1-1-1-1000
χ1022222222222-2-222-1-1-1-12-200220022-1-1-1-1-1-1-1-1-1-10000000000-2-2001111000
χ1122222222-2-2-22222-1-1-1-1-2-200-2-20022-1-1-1-111111100000000002-20011-1-1000
χ1222222222-2-2-2-2-222-1-1-1-1-2200-2-20022-1-1-1-11111110000000000-2200-1-111000
χ132222-1-1-1-12-1-1002222222022-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-100000000000
χ142222-1-1-1-12-1-10022222220-2-2-1-1-2-2-1-1-1-1-1-122-1-1-1-1-2-21111111100000000000
χ152222-1-1-1-1-21100222222-20221122-1-1-1-1-1-1-2-21111-2-2-1-111-1-11100000000000
χ162222-1-1-1-1-21100222222-20-2-211-2-2-1-1-1-1-1-1-2-211112211-1-111-1-100000000000
χ172-22-22-22-2000002-22-2-22002i−2i002i−2i2-22-2-22000000002i−2i002i−2i0000000000000
χ182-22-22-22-2000002-22-2-2200−2i2i00−2i2i2-22-2-2200000000−2i2i00−2i2i0000000000000
χ192-22-2-11-110−i3i3002-22-2-22002i−2i−i3i32i−2i-11-111-100−i3−i3i3i300−ii3−3−ii3−300000000000
χ202-22-2-11-110−i3i3002-22-2-2200−2i2i−i3i3−2i2i-11-111-100−i3−i3i3i300i−i−33i−i−3300000000000
χ212-22-2-11-110i3−i3002-22-2-22002i−2ii3−i32i−2i-11-111-100i3i3−i3−i300−ii−33−ii−3300000000000
χ222-22-2-11-110i3−i3002-22-2-2200−2i2ii3−i3−2i2i-11-111-100i3i3−i3−i300i−i3−3i−i3−300000000000
χ233333333333333-1-10000-1311-1-1-1-1-1-100000000001-11111-1-1-1-1-1-1-1-1000011-1
χ243333333333333-1-10000-13-1-1-1-111-1-10000000000-11-1-1-1-11111-1-1110000-1-11
χ2533333333333-3-3-1-10000-1-311-1-1-1-1-1-100000000001-11111-1-1-1-111110000-1-11
χ2633333333333-3-3-1-10000-1-3-1-1-1-111-1-10000000000-11-1-1-1-1111111-1-1000011-1
χ2733333333-3-3-333-1-100001-31111-1-1-1-10000000000-1111-1-1-1-111-11-1-10000-111
χ2833333333-3-3-333-1-100001-3-1-11111-1-100000000001-1-1-11111-1-1-111100001-1-1
χ2933333333-3-3-3-3-3-1-10000131111-1-1-1-10000000000-1111-1-1-1-1111-11100001-1-1
χ3033333333-3-3-3-3-3-1-1000013-1-11111-1-100000000001-1-1-11111-1-11-1-1-10000-111
χ314444-2-2-2-24-2-20044-2-2-2-24000-2-200-2-21111-2-21111000000000000000000000
χ324444-2-2-2-2-4220044-2-2-2-2-40002200-2-2111122-1-1-1-1000000000000000000000
χ3344-4-44-4-440004i−4i001-11-1000000000011-1-13−33−33−300000000000000−i3i3i−i000
χ3444-4-44-4-440004i−4i001-11-1000000000011-1-1−33−33−3300000000000000i3−i3i−i000
χ3544-4-44-4-440004i−4i00-22-220000000000-2-2220000000000000000000000−2i2i000
χ3644-4-44-4-44000−4i4i001-11-1000000000011-1-13−33−33−300000000000000i3−i3−ii000
χ3744-4-44-4-44000−4i4i001-11-1000000000011-1-1−33−33−3300000000000000−i3i3−ii000
χ3844-4-44-4-44000−4i4i00-22-220000000000-2-22200000000000000000000002i−2i000
χ394-44-44-44-4000004-4-222-2000000004-4-222-2000000000000000000000000000
χ404-44-4-22-220−2i32i3004-4-222-20000−2i32i300-221-1-1100i3i3−i3−i3000000000000000000000
χ414-44-4-22-2202i3−2i3004-4-222-200002i3−2i300-221-1-1100−i3−i3i3i3000000000000000000000
χ424-4-4444-4-40000000-2-2220000000000-22-22000000000000000000−2i22i20000000
χ434-4-4444-4-40000000-2-2220000000000-22-220000000000000000002i2−2i20000000
χ446666-3-3-3-36-3-300-2-20000-202211-2-21100000000002-2-1-1-1-1111100000000000
χ456666-3-3-3-36-3-300-2-20000-20-2-21122110000000000-221111-1-1-1-100000000000
χ466666-3-3-3-3-63300-2-200002022-1-1-2-2110000000000-22-1-11111-1-100000000000
χ476666-3-3-3-3-63300-2-2000020-2-2-1-1221100000000002-211-1-1-1-11100000000000
χ486-66-66-66-600000-220000002i−2i00−2i2i-220000000000002i−2i00−2i2i0000000000000
χ496-66-66-66-600000-22000000−2i2i002i−2i-22000000000000−2i2i002i−2i0000000000000
χ506-66-6-33-330−3i33i300-220000002i−2ii3−i3−2i2i1-1000000000000−ii3−3i−i−3300000000000
χ516-66-6-33-330−3i33i300-22000000−2i2ii3−i32i−2i1-1000000000000i−i−33−ii3−300000000000
χ526-66-6-33-3303i3−3i300-220000002i−2i−i3i3−2i2i1-1000000000000−ii−33i−i3−300000000000
χ536-66-6-33-3303i3−3i300-22000000−2i2i−i3i32i−2i1-1000000000000i−i3−3−ii−3300000000000
χ5488-8-8-444-400000002-22-20000000000-1-11123−23−33−33000000000000000000000
χ5588-8-8-444-400000002-22-20000000000-1-111−23233−33−3000000000000000000000
χ5688-8-8-444-40000000-44-44000000000022-2-2000000000000000000000000000
χ578-8-8888-8-8000000022-2-200000000002-22-2000000000000000000000000000
χ588-8-88-4-444000000022-2-20000000000-11-11003i−3i−3i3i000000000000000000000
χ598-8-88-4-444000000022-2-20000000000-11-1100−3i3i3i−3i000000000000000000000
χ608-8-88-4-4440000000-4-44400000000002-22-2000000000000000000000000000

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