Finite Group Databasebeta

← Group #11865292

Character table — Group #11865292

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1124444444448888121212121212181824242424242424242436727211244444444488881212121212121818242424242424242424367272
order122233666666666622444422466121212121212444222266666666666622444422466121212121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111-11111-1-1-1-11-1-111111111111111111111-1-111-11111-1-1-1-11-1-1
χ31111111111111111-1-1-1-111111-1-1-1-111111-1-11111111111111111-1-1-1-111111-1-1-1-111111-1-1
χ41111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ5111-1111-1-1111-1-11-11-11-11111-11-11-111-1-1-11-1111-1111-1-1111-1-11-11-11-11111-11-11-111-1-1-11-1
χ6111-1111-1-1111-1-11-11-11-1-1-11111-11-1-1-111-1-11111-1111-1-1111-1-11-11-11-1-1-11111-11-1-1-111-1-11
χ7111-1111-1-1111-1-11-1-11-111111-1-11-1111-1-1-1-11111-1111-1-1111-1-11-1-11-111111-1-11-1111-1-1-1-11
χ8111-1111-1-1111-1-11-1-11-11-1-1111-11-11-1-111-11-1111-1111-1-1111-1-11-1-11-11-1-1111-11-11-1-111-11-1
χ92222222222222222000000-2-2000000000-2002222222222222222000000-2-2000000000-200
χ10222-2222-2-2222-2-22-2000000-2-2000000000200222-2222-2-2222-2-22-2000000-2-2000000000200
χ1122-2022-2002-2200-20020-2002-20020-2000000022-2022-2002-2200-20020-2002-20020-20000000
χ1222-2022-2002-2200-200-202002-200-202000000022-2022-2002-2200-200-202002-200-2020000000
χ1322-2022-2002-2200-2020-2000-22020-20000000022-2022-2002-2200-2020-2000-22020-200000000
χ1422-2022-2002-2200-20-202000-220-2020000000022-2022-2002-2200-20-202000-220-20200000000
χ1544441-21-2-211-211-2-20000220020000-1-1-1-100044441-21-2-211-211-2-20000220020000-1-1-1-1000
χ1644441-21-2-211-211-2-20000-2-200-20000111100044441-21-2-211-211-2-20000-2-200-200001111000
χ174444-21-211-2-21-2-211222200000-1-1-1-100000004444-21-211-2-21-2-211222200000-1-1-1-10000000
χ184444-21-211-2-21-2-211-2-2-2-200000111100000004444-21-211-2-21-2-211-2-2-2-20000011110000000
χ19444-41-212211-2-1-1-2200002200-20000-1-111000444-41-212211-2-1-1-2200002200-20000-1-111000
χ20444-41-212211-2-1-1-220000-2-2002000011-1-1000444-41-212211-2-1-1-220000-2-2002000011-1-1000
χ21444-4-21-2-1-1-2-21221-12-22-200000-11-110000000444-4-21-2-1-1-2-21221-12-22-200000-11-110000000
χ22444-4-21-2-1-1-2-21221-1-22-22000001-11-10000000444-4-21-2-1-1-2-21221-1-22-22000001-11-10000000
χ2344-40-21233-22100-1-32-2-2200000-111-1000000044-40-21233-22100-1-32-2-2200000-111-10000000
χ2444-40-21233-22100-1-3-222-2000001-1-11000000044-40-21233-22100-1-3-222-2000001-1-110000000
χ2544-40-212-3-3-22100-1322-2-200000-1-111000000044-40-212-3-3-22100-1322-2-200000-1-1110000000
χ2644-40-212-3-3-22100-13-2-2220000011-1-1000000044-40-212-3-3-22100-13-2-2220000011-1-10000000
χ274-4001-2-3−2i32i3-132−i3i30000002i−2i0000000i−i3−30004-4001-2-3−2i32i3-132−i3i30000002i−2i0000000i−i3−3000
χ284-4001-2-3−2i32i3-132−i3i3000000−2i2i0000000−ii−330004-4001-2-3−2i32i3-132−i3i3000000−2i2i0000000−ii−33000
χ294-4001-2-32i3−2i3-132i3−i30000002i−2i0000000i−i−330004-4001-2-32i3−2i3-132i3−i30000002i−2i0000000i−i−33000
χ304-4001-2-32i3−2i3-132i3−i3000000−2i2i0000000−ii3−30004-4001-2-32i3−2i3-132i3−i3000000−2i2i0000000−ii3−3000
χ314-40044000-40-4000000002i−2i0000000−2i2i000004-40044000-40-4000000002i−2i0000000−2i2i00000
χ324-40044000-40-400000000−2i2i00000002i−2i000004-40044000-40-400000000−2i2i00000002i−2i00000
χ3388-802-4-2002-2-400400000000000000000000088-802-4-2002-2-4004000000000000000000000
χ348-8002-4600-2-640000000000000000000000008-8002-4600-2-64000000000000000000000000
χ358-800-420−2i32i340-22i3−2i300000000000000000000008-800-420−2i32i340-22i3−2i30000000000000000000000
χ368-800-4202i3−2i340-2−2i32i300000000000000000000008-800-4202i3−2i340-2−2i32i30000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111111111-1-111-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-111
χ391111111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-111
χ401111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111-1-1-1
χ41111-1111-1-1111-1-11-11-11-11111-11-11-111-1-1-11-1-1-1-11-1-1-111-1-1-111-11-11-11-1-1-1-11-11-11-1-1111-11
χ42111-1111-1-1111-1-11-11-11-1-1-11111-11-1-1-111-1-11-1-1-11-1-1-111-1-1-111-11-11-1111-1-1-1-11-1111-1-111-1
χ43111-1111-1-1111-1-11-1-11-111111-1-11-1111-1-1-1-11-1-1-11-1-1-111-1-1-111-111-11-1-1-1-1-111-11-1-1-11111-1
χ44111-1111-1-1111-1-11-1-11-11-1-1111-11-11-1-111-11-1-1-1-11-1-1-111-1-1-111-111-11-111-1-1-11-11-111-1-11-11
χ452222222222222222000000-2-2000000000-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000022000000000200
χ46222-2222-2-2222-2-22-2000000-2-2000000000200-2-2-22-2-2-222-2-2-222-2200000022000000000-200
χ4722-2022-2002-2200-20020-2002-20020-20000000-2-220-2-2200-22-200200-20200-2200-2020000000
χ4822-2022-2002-2200-200-202002-200-2020000000-2-220-2-2200-22-20020020-200-220020-20000000
χ4922-2022-2002-2200-2020-2000-22020-200000000-2-220-2-2200-22-20020-2020002-20-20200000000
χ5022-2022-2002-2200-20-202000-220-20200000000-2-220-2-2200-22-2002020-20002-2020-200000000
χ5144441-21-2-211-211-2-20000220020000-1-1-1-1000-4-4-4-4-12-122-1-12-1-1220000-2-200-200001111000
χ5244441-21-2-211-211-2-20000-2-200-200001111000-4-4-4-4-12-122-1-12-1-1220000220020000-1-1-1-1000
χ534444-21-211-2-21-2-211222200000-1-1-1-10000000-4-4-4-42-12-1-122-122-1-1-2-2-2-20000011110000000
χ544444-21-211-2-21-2-211-2-2-2-20000011110000000-4-4-4-42-12-1-122-122-1-1222200000-1-1-1-10000000
χ55444-41-212211-2-1-1-2200002200-20000-1-111000-4-4-44-12-1-2-2-1-12112-20000-2-2002000011-1-1000
χ56444-41-212211-2-1-1-220000-2-2002000011-1-1000-4-4-44-12-1-2-2-1-12112-200002200-20000-1-111000
χ57444-4-21-2-1-1-2-21221-12-22-200000-11-110000000-4-4-442-121122-1-2-2-11-22-22000001-11-10000000
χ58444-4-21-2-1-1-2-21221-1-22-22000001-11-10000000-4-4-442-121122-1-2-2-112-22-200000-11-110000000
χ5944-40-21233-22100-1-32-2-2200000-111-10000000-4-4402-1-2-3-32-2-10013-222-2000001-1-110000000
χ6044-40-21233-22100-1-3-222-2000001-1-110000000-4-4402-1-2-3-32-2-100132-2-2200000-111-10000000
χ6144-40-212-3-3-22100-1322-2-200000-1-1110000000-4-4402-1-2332-2-1001-3-2-2220000011-1-10000000
χ6244-40-212-3-3-22100-13-2-2220000011-1-10000000-4-4402-1-2332-2-1001-322-2-200000-1-1110000000
χ634-4001-2-3−2i32i3-132−i3i30000002i−2i0000000i−i3−3000-4400-1232i3−2i31-3-2i3−i3000000−2i2i0000000−ii−33000
χ644-4001-2-3−2i32i3-132−i3i3000000−2i2i0000000−ii−33000-4400-1232i3−2i31-3-2i3−i30000002i−2i0000000i−i3−3000
χ654-4001-2-32i3−2i3-132i3−i30000002i−2i0000000i−i−33000-4400-123−2i32i31-3-2−i3i3000000−2i2i0000000−ii3−3000
χ664-4001-2-32i3−2i3-132i3−i3000000−2i2i0000000−ii3−3000-4400-123−2i32i31-3-2−i3i30000002i−2i0000000i−i−33000
χ674-40044000-40-4000000002i−2i0000000−2i2i00000-4400-4-400040400000000−2i2i00000002i−2i00000
χ684-40044000-40-400000000−2i2i00000002i−2i00000-4400-4-4000404000000002i−2i0000000−2i2i00000
χ6988-802-4-2002-2-4004000000000000000000000-8-880-24200-22400-4000000000000000000000
χ708-8002-4600-2-64000000000000000000000000-8800-24-60026-4000000000000000000000000
χ718-800-420−2i32i340-22i3−2i30000000000000000000000-88004-202i3−2i3-402−2i32i30000000000000000000000
χ728-800-4202i3−2i340-2−2i32i30000000000000000000000-88004-20−2i32i3-4022i3−2i30000000000000000000000

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