Finite Group Databasebeta

← Group #11922977

Character table — Group #11922977

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444668888888888881212121212161616161616161616161616161616161616181818182424243636363636363636727272
order12223444444666121212121212443336666666664441212121212121212121212121212121212121212888812121244888888444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1
χ31111111-1-1-1-111111-1-1-1-1111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11-1-1
χ41111111-1-1-1-111111-1-1-1-1111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-111
χ511111-1-111-1-1111-1-111-1-111111111111111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-111-1-111-1-1-11-1
χ611111-1-111-1-1111-1-111-1-111111111111111-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1111-11
χ711111-1-1-1-111111-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-111-1-11
χ811111-1-1-1-111111-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11111-1-111-1
χ92222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022200000000000
χ102222222-2-2-2-222222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-12-2-222-1-1-1-1-1-111111111111100002-2-200000000000
χ1122222-2-222-2-2222-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-22-222111111-1-1-1-1-1-11111110000-22-200000000000
χ1222222-2-2-2-222222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2222111111111111-1-1-1-1-1-10000-2-2200000000000
χ132222-1222222-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-12-1-1222-1-122-1-1-1-122-1-1-1-122-1-1-1-10000-1-1-100000000000
χ142222-1222222-1-1-1-1-1-1-1-1-122-12-1-1-122-1-1-12-1222-1-1-1-122-1-1-1-122-1-1-1-122-1-10000-1-1-100000000000
χ152222-1222222-1-1-1-1-1-1-1-1-122-1-12-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-122-1-1-1-1220000-1-1-100000000000
χ162222-122-2-2-2-2-1-1-1-1-11111222-1-122-1-1-1-12-1-12-2-2-1-122-1-1-1-1-2-21111-2-211110000-11100000000000
χ172222-122-2-2-2-2-1-1-1-1-1111122-12-1-1-122-1-1-12-12-2-2-1-1-1-122-1-111-2-21111-2-2110000-11100000000000
χ182222-122-2-2-2-2-1-1-1-1-1111122-1-12-1-1-1-122-1-122-2-2-1-1-1-1-1-1221111-2-21111-2-20000-11100000000000
χ192222-1-2-222-2-2-1-1-111-1-111222-1-122-1-1-1-12-1-1-22-2-1-1-2-2111122-1-1-1-1-2-2111100001-1100000000000
χ202222-1-2-222-2-2-1-1-111-1-11122-12-1-1-122-1-1-12-1-22-2-1-111-2-211-1-122-1-111-2-21100001-1100000000000
χ212222-1-2-222-2-2-1-1-111-1-11122-1-12-1-1-1-122-1-12-22-2-1-11111-2-2-1-1-1-1221111-2-200001-1100000000000
χ222222-1-2-2-2-222-1-1-11111-1-1222-1-122-1-1-1-12-1-1-2-22-1-1-2-21111-2-2111122-1-1-1-1000011-100000000000
χ232222-1-2-2-2-222-1-1-11111-1-122-12-1-1-122-1-1-12-1-2-22-1-111-2-21111-2-211-1-122-1-1000011-100000000000
χ242222-1-2-2-2-222-1-1-11111-1-122-1-12-1-1-1-122-1-12-2-22-1-11111-2-21111-2-2-1-1-1-122000011-100000000000
χ2522-2-222-22-22-22-2-22-22-22-200-1-1-1111111-1-1-1000001-11-11-11-11-11-11-11-11-122−2−2000002−22−22−2000
χ2622-2-222-22-22-22-2-22-22-22-200-1-1-1111111-1-1-1000001-11-11-11-11-11-11-11-11-1−2−22200000−22−22−22000
χ2722-2-222-2-22-222-2-22-2-22-2200-1-1-1111111-1-1-1000001-11-11-1-11-11-11-11-11-1122−2−2000002−2−22−22000
χ2822-2-222-2-22-222-2-22-2-22-2200-1-1-1111111-1-1-1000001-11-11-1-11-11-11-11-11-11−2−22200000−222−22−2000
χ2922-2-22-222-2-222-2-2-222-2-2200-1-1-1111111-1-1-100000-11-11-111-11-11-1-11-11-1122−2−200000−222−2−22000
χ3022-2-22-222-2-222-2-2-222-2-2200-1-1-1111111-1-1-100000-11-11-111-11-11-1-11-11-11−2−222000002−2−222−2000
χ3122-2-22-22-222-22-2-2-22-222-200-1-1-1111111-1-1-100000-11-11-11-11-11-111-11-11-122−2−200000−22−222−2000
χ3222-2-22-22-222-22-2-2-22-222-200-1-1-1111111-1-1-100000-11-11-11-11-11-111-11-11-1−2−222000002−22−2−22000
χ332-2-222000000-22-2000000-222222-22-22-2-2-2-20002-20000000000000000002i−2i2i−2i0002i−2i000000000
χ342-2-222000000-22-2000000-222222-22-22-2-2-2-20002-2000000000000000000−2i2i−2i2i000−2i2i000000000
χ3533333333333333333333-1-1000000000000-1-1-1-1-10000000000000000001111-1-1-1-1-1111111-1-1-1
χ3633333333333333333333-1-1000000000000-1-1-1-1-1000000000000000000-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ373333333-3-3-3-333333-3-3-3-3-1-1000000000000-111-1-10000000000000000001111-111-1-111-1-1-1-1-111
χ383333333-3-3-3-333333-3-3-3-3-1-1000000000000-111-1-1000000000000000000-1-1-1-1-11111-1-111111-1-1
χ3933333-3-333-3-3333-3-333-3-3-1-10000000000001-11-1-100000000000000000011111-11-1-1-1-111-1-11-11
χ4033333-3-333-3-3333-3-333-3-3-1-10000000000001-11-1-1000000000000000000-1-1-1-11-111111-1-111-11-1
χ4133333-3-3-3-333333-3-3-3-333-1-100000000000011-1-1-1000000000000000000111111-1-1-1-1-1-1-11111-1
χ4233333-3-3-3-333333-3-3-3-333-1-100000000000011-1-1-1000000000000000000-1-1-1-111-1111111-1-1-1-11
χ4344-4-444-44-44-44-4-44-44-44-400111-1-1-1-1-1-111100000-11-11-11-11-11-11-11-11-11000000000000000000
χ4444-4-444-4-44-444-4-44-4-44-4400111-1-1-1-1-1-111100000-11-11-111-11-11-11-11-11-1000000000000000000
χ4544-4-44-444-4-444-4-4-444-4-4400111-1-1-1-1-1-1111000001-11-11-1-11-11-111-11-11-1000000000000000000
χ4644-4-44-44-444-44-4-4-44-444-400111-1-1-1-1-1-1111000001-11-11-11-11-11-1-11-11-11000000000000000000
χ4744-4-4-24-44-44-4-222-22-22-220011-2-1-1-1-12211-200000-11-112-2-11-112-2-11-112-2000000000000000000
χ4844-4-4-24-44-44-4-222-22-22-22001-21-1-122-1-11-2100000-112-2-11-112-2-11-112-2-11000000000000000000
χ4944-4-4-24-44-44-4-222-22-22-2200-21122-1-1-1-1-211000002-2-11-112-2-11-112-2-11-11000000000000000000
χ5044-4-4-24-4-44-44-222-222-22-20011-2-1-1-1-12211-200000-11-112-21-11-1-221-11-1-22000000000000000000
χ5144-4-4-24-4-44-44-222-222-22-2001-21-1-122-1-11-2100000-112-2-111-1-221-11-1-221-1000000000000000000
χ5244-4-4-24-4-44-44-222-222-22-200-21122-1-1-1-1-211000002-2-11-11-221-11-1-221-11-1000000000000000000
χ5344-4-4-2-444-4-44-2222-2-222-20011-2-1-1-1-12211-2000001-11-1-22-11-112-21-11-1-22000000000000000000
χ5444-4-4-2-444-4-44-2222-2-222-2001-21-1-122-1-11-21000001-1-221-1-112-2-111-1-221-1000000000000000000
χ5544-4-4-2-444-4-44-2222-2-222-200-21122-1-1-1-1-21100000-221-11-12-2-11-11-221-11-1000000000000000000
χ5644-4-4-2-44-444-4-2222-22-2-220011-2-1-1-1-12211-2000001-11-1-221-11-1-22-11-112-2000000000000000000
χ5744-4-4-2-44-444-4-2222-22-2-22001-21-1-122-1-11-21000001-1-221-11-1-221-1-112-2-11000000000000000000
χ5844-4-4-2-44-444-4-2222-22-2-2200-21122-1-1-1-1-21100000-221-11-1-221-11-12-2-11-11000000000000000000
χ594-44-44000000-4-4400000000-2-2-22-22-22-2222000000000000000000000002i2−2i2−2i22i200000000000000
χ604-44-44000000-4-4400000000-2-2-22-22-22-222200000000000000000000000−2i22i22i2−2i200000000000000
χ614-4-444000000-44-4000000-44-2-2-2-22-22-222220004-4000000000000000000000000000000000000
χ624-4-44-20000002-22000000-444-2-24-4-22-22-422000-22000000000000000000000000000000000000
χ634-4-44-20000002-22000000-44-24-2-224-4-222-42000-22000000000000000000000000000000000000
χ644-4-44-20000002-22000000-44-2-24-22-224-422-4000-22000000000000000000000000000000000000
χ656666-3666666-3-3-3-3-3-3-3-3-3-2-2000000000000-2-2-211000000000000000000000011100000000000
χ666666-366-6-6-6-6-3-3-3-3-33333-2-2000000000000-2221100000000000000000000001-1-100000000000
χ676666-3-6-666-6-6-3-3-333-3-333-2-20000000000002-22110000000000000000000000-11-100000000000
χ686666-3-6-6-6-666-3-3-33333-3-3-2-200000000000022-2110000000000000000000000-1-1100000000000
χ696-6-666000000-66-60000002-2000000000000000-220000000000000000002i−2i2i−2i000−2i2i000000000
χ706-6-666000000-66-60000002-2000000000000000-22000000000000000000−2i2i−2i2i0002i−2i000000000
χ718-88-88000000-8-8800000000222-22-22-22-2-2-200000000000000000000000000000000000000000
χ728-88-8-400000044-40000000022-4-22-224-4-2-2400000000000000000000000000000000000000000
χ738-88-8-400000044-4000000002-42-224-4-22-24-200000000000000000000000000000000000000000
χ748-88-8-400000044-400000000-4224-4-22-224-2-200000000000000000000000000000000000000000
χ7512-12-1212-60000006-660000004-40000000000000002-2000000000000000000000000000000000000

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