Finite Group Databasebeta

← Group #11865265

Character table — Group #11865265

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1124444444448888121212121212181824242424242424242436727211244444444488881212121212121818242424242424242424367272
order12223366666666662222442246666121212124442222666666666666222244224666612121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-11111-111-1-111-1-11-1-1111111111111111111-1-11111-111-1-111-1-11-1-1
χ31111111111111111-1-111-1-1111-1-111-1-1111-1-11111111111111111-1-111-1-1111-1-111-1-1111-1-1
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
χ5111-11111-1-1111-1-1-11-1111-111-11-1111-1-1-1-11-1111-11111-1-1111-1-1-11-1111-111-11-1111-1-1-1-11-1
χ6111-11111-1-1111-1-1-11-1-1-11-11111-1-1-11-111-1-11111-11111-1-1111-1-1-11-1-1-11-11111-1-1-11-111-1-11
χ7111-11111-1-1111-1-1-1-1111-1111-1-1111-11-1-1-1-11111-11111-1-1111-1-1-1-1111-1111-1-1111-11-1-1-1-11
χ8111-11111-1-1111-1-1-1-11-1-1-11111-11-1-1-1111-11-1111-11111-1-1111-1-1-1-11-1-1-11111-11-1-1-1111-11-1
χ92222222222222222000000-2-2000000000-2002222222222222222000000-2-2000000000-200
χ10222-22222-2-2222-2-2-2000000-2-2000000000200222-22222-2-2222-2-2-2000000-2-2000000000200
χ1122-20222-2002-2-200002000-22-2002000-20000022-20222-2002-2-200002000-22-2002000-200000
χ1222-20222-2002-2-20000-200022-200-200020000022-20222-2002-2-20000-200022-200-2000200000
χ1322-20222-2002-2-20002000-20-2202000-200000022-20222-2002-2-20002000-20-2202000-2000000
χ1422-20222-2002-2-2000-200020-220-2000200000022-20222-2002-2-2000-200020-220-20002000000
χ1544441-211-2-2-21-211-200220000200-1-100-1-100044441-211-2-2-21-211-200220000200-1-100-1-1000
χ1644441-211-2-2-21-211-200-2-20000-20011001100044441-211-2-2-21-211-200-2-20000-200110011000
χ174444-21-2-2111-21-2-21220022000-1-100-1-1000004444-21-2-2111-21-2-21220022000-1-100-1-100000
χ184444-21-2-2111-21-2-21-2-200-2-2000110011000004444-21-2-2111-21-2-21-2-200-2-200011001100000
χ19444-41-21122-21-2-1-1200220000-200-1-10011000444-41-21122-21-2-1-1200220000-200-1-10011000
χ20444-41-21122-21-2-1-1200-2-200002001100-1-1000444-41-21122-21-2-1-1200-2-200002001100-1-1000
χ21444-4-21-2-2-1-11-2122-12-2002-2000-1100-1100000444-4-21-2-2-1-11-2122-12-2002-2000-1100-1100000
χ22444-4-21-2-2-1-11-2122-1-2200-220001-1001-100000444-4-21-2-2-1-11-2122-1-2200-220001-1001-100000
χ2344-40-21-223312-100-32-200-22000-11001-10000044-40-21-223312-100-32-200-22000-11001-100000
χ2444-40-21-223312-100-3-22002-20001-100-110000044-40-21-223312-100-3-22002-20001-100-1100000
χ2544-40-21-22-3-312-10032200-2-2000-1-100110000044-40-21-22-3-312-10032200-2-2000-1-1001100000
χ2644-40-21-22-3-312-1003-2-200220001100-1-10000044-40-21-22-3-312-1003-2-200220001100-1-100000
χ274-4001-2-132i3−2i32-30i3−i30002-200000001-100i3−i30004-4001-2-132i3−2i32-30i3−i30002-200000001-100i3−i3000
χ284-4001-2-132i3−2i32-30i3−i3000-220000000-1100−i3i30004-4001-2-132i3−2i32-30i3−i3000-220000000-1100−i3i3000
χ294-4001-2-13−2i32i32-30−i3i30002-200000001-100−i3i30004-4001-2-13−2i32i32-30−i3i30002-200000001-100−i3i3000
χ304-4001-2-13−2i32i32-30−i3i3000-220000000-1100i3−i30004-4001-2-13−2i32i32-30−i3i3000-220000000-1100i3−i3000
χ314-40044-4000-400000002-20000000-2200000004-40044-4000-400000002-20000000-220000000
χ324-40044-4000-40000000-2200000002-200000004-40044-4000-40000000-2200000002-20000000
χ3388-802-42-200-4-240000000000000000000000088-802-42-200-4-2400000000000000000000000
χ348-8002-4-2-600460000000000000000000000008-8002-4-2-60046000000000000000000000000
χ358-800-42402i3−2i3-200−2i32i30000000000000000000008-800-42402i3−2i3-200−2i32i3000000000000000000000
χ368-800-4240−2i32i3-2002i3−2i30000000000000000000008-800-4240−2i32i3-2002i3−2i3000000000000000000000
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
χ38111111111111111111-1-11111-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-111-111
χ391111111111111111-1-111-1-1111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-111-1-1-111
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
χ41111-11111-1-1111-1-1-11-1111-111-11-1111-1-1-1-11-1-1-1-11-1-1-1-111-1-1-1111-11-1-1-11-1-11-11-1-1-11111-11
χ42111-11111-1-1111-1-1-11-1-1-11-11111-1-1-11-111-1-11-1-1-11-1-1-1-111-1-1-1111-1111-11-1-1-1-1111-11-1-111-1
χ43111-11111-1-1111-1-1-1-1111-1111-1-1111-11-1-1-1-11-1-1-11-1-1-1-111-1-1-11111-1-1-11-1-1-111-1-1-11-11111-1
χ44111-11111-1-1111-1-1-1-11-1-1-11111-11-1-1-1111-11-1-1-1-11-1-1-1-111-1-1-11111-1111-1-1-1-11-1111-1-1-11-11
χ452222222222222222000000-2-2000000000-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000022000000000200
χ46222-22222-2-2222-2-2-2000000-2-2000000000200-2-2-22-2-2-2-222-2-2-222200000022000000000-200
χ4722-20222-2002-2-200002000-22-2002000-200000-2-220-2-2-2200-2220000-20002-2200-2000200000
χ4822-20222-2002-2-20000-200022-200-2000200000-2-220-2-2-2200-22200002000-2-22002000-200000
χ4922-20222-2002-2-20002000-20-2202000-2000000-2-220-2-2-2200-222000-2000202-20-20002000000
χ5022-20222-2002-2-2000-200020-220-20002000000-2-220-2-2-2200-2220002000-202-202000-2000000
χ5144441-211-2-2-21-211-200220000200-1-100-1-1000-4-4-4-4-12-1-1222-12-1-1200-2-20000-200110011000
χ5244441-211-2-2-21-211-200-2-20000-200110011000-4-4-4-4-12-1-1222-12-1-1200220000200-1-100-1-1000
χ534444-21-2-2111-21-2-21220022000-1-100-1-100000-4-4-4-42-122-1-1-12-122-1-2-200-2-200011001100000
χ544444-21-2-2111-21-2-21-2-200-2-200011001100000-4-4-4-42-122-1-1-12-122-1220022000-1-100-1-100000
χ55444-41-21122-21-2-1-1200220000-200-1-10011000-4-4-44-12-1-1-2-22-1211-200-2-200002001100-1-1000
χ56444-41-21122-21-2-1-1200-2-200002001100-1-1000-4-4-44-12-1-1-2-22-1211-200220000-200-1-10011000
χ57444-4-21-2-2-1-11-2122-12-2002-2000-1100-1100000-4-4-442-12211-12-1-2-21-2200-220001-1001-100000
χ58444-4-21-2-2-1-11-2122-1-2200-220001-1001-100000-4-4-442-12211-12-1-2-212-2002-2000-1100-1100000
χ5944-40-21-223312-100-32-200-22000-11001-100000-4-4402-12-2-3-3-1-21003-22002-20001-100-1100000
χ6044-40-21-223312-100-3-22002-20001-100-1100000-4-4402-12-2-3-3-1-210032-200-22000-11001-100000
χ6144-40-21-22-3-312-10032200-2-2000-1-1001100000-4-4402-12-233-1-2100-3-2-200220001100-1-100000
χ6244-40-21-22-3-312-1003-2-200220001100-1-100000-4-4402-12-233-1-2100-32200-2-2000-1-1001100000
χ634-4001-2-132i3−2i32-30i3−i30002-200000001-100i3−i3000-4400-121-3−2i32i3-230−i3i3000-220000000-1100−i3i3000
χ644-4001-2-132i3−2i32-30i3−i3000-220000000-1100−i3i3000-4400-121-3−2i32i3-230−i3i30002-200000001-100i3−i3000
χ654-4001-2-13−2i32i32-30−i3i30002-200000001-100−i3i3000-4400-121-32i3−2i3-230i3−i3000-220000000-1100i3−i3000
χ664-4001-2-13−2i32i32-30−i3i3000-220000000-1100i3−i3000-4400-121-32i3−2i3-230i3−i30002-200000001-100−i3i3000
χ674-40044-4000-400000002-20000000-220000000-4400-4-4400040000000-2200000002-20000000
χ684-40044-4000-40000000-2200000002-20000000-4400-4-44000400000002-20000000-220000000
χ6988-802-42-200-4-2400000000000000000000000-8-880-24-220042-400000000000000000000000
χ708-8002-4-2-60046000000000000000000000000-8800-242600-4-6000000000000000000000000
χ718-800-42402i3−2i3-200−2i32i3000000000000000000000-88004-2-40−2i32i32002i3−2i3000000000000000000000
χ728-800-4240−2i32i3-2002i3−2i3000000000000000000000-88004-2-402i3−2i3200−2i32i3000000000000000000000

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