Finite Group Databasebeta

← Group #11864868

Character table — Group #11864868

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222222244444444448888812121212242422444444488888888881616161616242424244848336666666121212121212121212122424242424363636367272
order1223446664444121212121212266121222448836631212666121212121212121212126661212661212242422264466644441212121212122661212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ311111111111-1-1-1-1-1-111-1-1-1111111-1-111111111111-1-1-1-1-1-111-1-1-1111111-1-111111111111-1-1-1-1-1-111-1-1-1111111-1-1
χ411111111111-1-1-1-1-1-111-1-1-111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-111-1-1-1-111
χ5111111111-1-111111111-1-1-1-1-11-11-11-1111111111-1-111111111-1-1-1-1-11-11-11-1111111111-1-111111111-1-1-1-1-11-11-11-1
χ6111111111-1-111111111-1-1-1-1-1-11-11-11111111111-1-111111111-1-1-1-1-1-11-11-11111111111-1-111111111-1-1-1-1-1-11-11-11
χ7111111111-1-1-1-1-1-1-1-111111-1-11-11-1-11111111111-1-1-1-1-1-1-1-111111-1-11-11-1-11111111111-1-1-1-1-1-1-1-111111-1-11-11-1-11
χ8111111111-1-1-1-1-1-1-1-111111-1-1-11-111-1111111111-1-1-1-1-1-1-1-111111-1-1-11-111-1111111111-1-1-1-1-1-1-1-111111-1-1-11-111-1
χ92222-2-22222-2000000-2-20002-20000002222-2-22222-2000000-2-20002-20000002222-2-22222-2000000-2-20002-2000000
χ102222-2-2222-22000000-2-2000-220000002222-2-2222-22000000-2-2000-220000002222-2-2222-22000000-2-2000-22000000
χ11222-122-1-1-12222-1-1-1-1-1-12-1-1-1-1000000222-122-1-1-12222-1-1-1-1-1-12-1-1-1-1000000222-122-1-1-12222-1-1-1-1-1-12-1-1-1-1000000
χ12222-122-1-1-122-2-21111-1-1-211-1-1000000222-122-1-1-122-2-21111-1-1-211-1-1000000222-122-1-1-122-2-21111-1-1-211-1-1000000
χ13222-122-1-1-1-2-222-1-1-1-1-1-1-21111000000222-122-1-1-1-2-222-1-1-1-1-1-1-21111000000222-122-1-1-1-2-222-1-1-1-1-1-1-21111000000
χ14222-122-1-1-1-2-2-2-21111-1-12-1-111000000222-122-1-1-1-2-2-2-21111-1-12-1-111000000222-122-1-1-1-2-2-2-21111-1-12-1-111000000
χ15222-1-2-2-1-1-12-200−i3−i3i3i3110−i3i3-11000000222-1-2-2-1-1-12-200−i3−i3i3i3110−i3i3-11000000222-1-2-2-1-1-12-200−i3−i3i3i3110−i3i3-11000000
χ16222-1-2-2-1-1-12-200i3i3−i3−i3110i3−i3-11000000222-1-2-2-1-1-12-200i3i3−i3−i3110i3−i3-11000000222-1-2-2-1-1-12-200i3i3−i3−i3110i3−i3-11000000
χ17222-1-2-2-1-1-1-2200−i3−i3i3i3110i3−i31-1000000222-1-2-2-1-1-1-2200−i3−i3i3i3110i3−i31-1000000222-1-2-2-1-1-1-2200−i3−i3i3i3110i3−i31-1000000
χ18222-1-2-2-1-1-1-2200i3i3−i3−i3110−i3i31-1000000222-1-2-2-1-1-1-2200i3i3−i3−i3110−i3i31-1000000222-1-2-2-1-1-1-2200i3i3−i3−i3110−i3i31-1000000
χ1922-222-2-2-22000000002-200000020-20022-222-2-2-22000000002-200000020-20022-222-2-2-22000000002-200000020-200
χ2022-222-2-2-22000000002-2000000-2020022-222-2-2-22000000002-2000000-2020022-222-2-2-22000000002-2000000-20200
χ2122-22-22-2-2200000000-220000020-200022-22-22-2-2200000000-220000020-200022-22-22-2-2200000000-220000020-2000
χ2222-22-22-2-2200000000-2200000-20200022-22-22-2-2200000000-2200000-20200022-22-22-2-2200000000-2200000-202000
χ2344-4-24-422-200000000-220000000000044-4-24-422-200000000-220000000000044-4-24-422-200000000-2200000000000
χ2444-4-2-4422-2000000002-20000000000044-4-2-4422-2000000002-20000000000044-4-2-4422-2000000002-200000000000
χ254-4040000-4002i−2i2i−2i2i−2i00000000000004-4040000-4002i−2i2i−2i2i−2i00000000000004-4040000-4002i−2i2i−2i2i−2i0000000000000
χ264-4040000-400−2i2i−2i2i−2i2i00000000000004-4040000-400−2i2i−2i2i−2i2i00000000000004-4040000-400−2i2i−2i2i−2i2i0000000000000
χ274-40-200−2i32i32002i−2i2ζ7−2ζ72ζ11−2ζ1100000000000004-40-200−2i32i32002i−2i2ζ7−2ζ72ζ11−2ζ1100000000000004-40-200−2i32i32002i−2i2ζ7−2ζ72ζ11−2ζ110000000000000
χ284-40-200−2i32i3200−2i2i−2ζ72ζ7−2ζ112ζ1100000000000004-40-200−2i32i3200−2i2i−2ζ72ζ7−2ζ112ζ1100000000000004-40-200−2i32i3200−2i2i−2ζ72ζ7−2ζ112ζ110000000000000
χ294-40-2002i3−2i32002i−2i2ζ11−2ζ112ζ7−2ζ700000000000004-40-2002i3−2i32002i−2i2ζ11−2ζ112ζ7−2ζ700000000000004-40-2002i3−2i32002i−2i2ζ11−2ζ112ζ7−2ζ70000000000000
χ304-40-2002i3−2i3200−2i2i−2ζ112ζ11−2ζ72ζ700000000000004-40-2002i3−2i3200−2i2i−2ζ112ζ11−2ζ72ζ700000000000004-40-2002i3−2i3200−2i2i−2ζ112ζ11−2ζ72ζ70000000000000
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3311111111111-1-1-1-1-1-111-1-1-1111111-1-111111111111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-111
χ3411111111111-1-1-1-1-1-111-1-1-111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-11111-1-1
χ35111111111-1-111111111-1-1-1-1-11-11-11-1111111111-1-111111111-1-1-1-1-11-11-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11-11-11
χ36111111111-1-111111111-1-1-1-1-1-11-11-11111111111-1-111111111-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-11-1
χ37111111111-1-1-1-1-1-1-1-111111-1-11-11-1-11111111111-1-1-1-1-1-1-1-111111-1-11-11-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11-111-1
χ38111111111-1-1-1-1-1-1-1-111111-1-1-11-111-1111111111-1-1-1-1-1-1-1-111111-1-1-11-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-11-1-11
χ392222-2-22222-2000000-2-20002-20000002222-2-22222-2000000-2-20002-2000000-2-2-2-222-2-2-2-2200000022000-22000000
χ402222-2-2222-22000000-2-2000-220000002222-2-2222-22000000-2-2000-22000000-2-2-2-222-2-2-22-2000000220002-2000000
χ41222-122-1-1-12222-1-1-1-1-1-12-1-1-1-1000000222-122-1-1-12222-1-1-1-1-1-12-1-1-1-1000000-2-2-21-2-2111-2-2-2-2111111-21111000000
χ42222-122-1-1-122-2-21111-1-1-211-1-1000000222-122-1-1-122-2-21111-1-1-211-1-1000000-2-2-21-2-2111-2-222-1-1-1-1112-1-111000000
χ43222-122-1-1-1-2-222-1-1-1-1-1-1-21111000000222-122-1-1-1-2-222-1-1-1-1-1-1-21111000000-2-2-21-2-211122-2-21111112-1-1-1-1000000
χ44222-122-1-1-1-2-2-2-21111-1-12-1-111000000222-122-1-1-1-2-2-2-21111-1-12-1-111000000-2-2-21-2-21112222-1-1-1-111-211-1-1000000
χ45222-1-2-2-1-1-12-200−i3−i3i3i3110−i3i3-11000000222-1-2-2-1-1-12-200−i3−i3i3i3110−i3i3-11000000-2-2-2122111-2200i3i3−i3−i3-1-10i3−i31-1000000
χ46222-1-2-2-1-1-12-200i3i3−i3−i3110i3−i3-11000000222-1-2-2-1-1-12-200i3i3−i3−i3110i3−i3-11000000-2-2-2122111-2200−i3−i3i3i3-1-10−i3i31-1000000
χ47222-1-2-2-1-1-1-2200−i3−i3i3i3110i3−i31-1000000222-1-2-2-1-1-1-2200−i3−i3i3i3110i3−i31-1000000-2-2-21221112-200i3i3−i3−i3-1-10−i3i3-11000000
χ48222-1-2-2-1-1-1-2200i3i3−i3−i3110−i3i31-1000000222-1-2-2-1-1-1-2200i3i3−i3−i3110−i3i31-1000000-2-2-21221112-200−i3−i3i3i3-1-10i3−i3-11000000
χ4922-222-2-2-22000000002-200000020-20022-222-2-2-22000000002-200000020-200-2-22-2-2222-200000000-22000000-20200
χ5022-222-2-2-22000000002-2000000-2020022-222-2-2-22000000002-2000000-20200-2-22-2-2222-200000000-2200000020-200
χ5122-22-22-2-2200000000-220000020-200022-22-22-2-2200000000-220000020-2000-2-22-22-222-2000000002-200000-202000
χ5222-22-22-2-2200000000-2200000-20200022-22-22-2-2200000000-2200000-202000-2-22-22-222-2000000002-20000020-2000
χ5344-4-24-422-200000000-220000000000044-4-24-422-200000000-2200000000000-4-442-44-2-22000000002-200000000000
χ5444-4-2-4422-2000000002-20000000000044-4-2-4422-2000000002-200000000000-4-4424-4-2-2200000000-2200000000000
χ554-4040000-4002i−2i2i−2i2i−2i00000000000004-4040000-4002i−2i2i−2i2i−2i0000000000000-440-40000400−2i2i−2i2i−2i2i0000000000000
χ564-4040000-400−2i2i−2i2i−2i2i00000000000004-4040000-400−2i2i−2i2i−2i2i0000000000000-440-400004002i−2i2i−2i2i−2i0000000000000
χ574-40-200−2i32i32002i−2i2ζ7−2ζ72ζ11−2ζ1100000000000004-40-200−2i32i32002i−2i2ζ7−2ζ72ζ11−2ζ110000000000000-4402002i3−2i3-200−2i2i−2ζ72ζ7−2ζ112ζ110000000000000
χ584-40-200−2i32i3200−2i2i−2ζ72ζ7−2ζ112ζ1100000000000004-40-200−2i32i3200−2i2i−2ζ72ζ7−2ζ112ζ110000000000000-4402002i3−2i3-2002i−2i2ζ7−2ζ72ζ11−2ζ110000000000000
χ594-40-2002i3−2i32002i−2i2ζ11−2ζ112ζ7−2ζ700000000000004-40-2002i3−2i32002i−2i2ζ11−2ζ112ζ7−2ζ70000000000000-440200−2i32i3-200−2i2i−2ζ112ζ11−2ζ72ζ70000000000000
χ604-40-2002i3−2i3200−2i2i−2ζ112ζ11−2ζ72ζ700000000000004-40-2002i3−2i3200−2i2i−2ζ112ζ11−2ζ72ζ70000000000000-440200−2i32i3-2002i−2i2ζ11−2ζ112ζ7−2ζ70000000000000
χ61222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ62222222222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000
χ6322222222222-2-2-2-2-2-222-2-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-111000000000000000000000000000000
χ6422222222222-2-2-2-2-2-222-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-11111-1-1000000000000000000000000000000
χ65222222222-2-222222222-2-2-2-2-22-22-22-2-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11-11-11000000000000000000000000000000
χ66222222222-2-222222222-2-2-2-2-2-22-22-22-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-11-1000000000000000000000000000000
χ67222222222-2-2-2-2-2-2-2-222222-2-22-22-2-22-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11-111-1000000000000000000000000000000
χ68222222222-2-2-2-2-2-2-2-222222-2-2-22-222-2-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-11-1-11000000000000000000000000000000
χ694444-4-44444-4000000-4-40004-4000000-2-2-2-222-2-2-2-2200000022000-22000000000000000000000000000000000000
χ704444-4-4444-44000000-4-4000-44000000-2-2-2-222-2-2-22-2000000220002-2000000000000000000000000000000000000
χ71444-244-2-2-24444-2-2-2-2-2-24-2-2-2-2000000-2-2-21-2-2111-2-2-2-2111111-21111000000000000000000000000000000000000
χ72444-244-2-2-244-4-42222-2-2-422-2-2000000-2-2-21-2-2111-2-222-1-1-1-1112-1-111000000000000000000000000000000000000
χ73444-244-2-2-2-4-444-2-2-2-2-2-2-42222000000-2-2-21-2-211122-2-21111112-1-1-1-1000000000000000000000000000000000000
χ74444-244-2-2-2-4-4-4-42222-2-24-2-222000000-2-2-21-2-21112222-1-1-1-111-211-1-1000000000000000000000000000000000000
χ75444-2-4-4-2-2-24-400−2i3−2i32i32i3220−2i32i3-22000000-2-2-2122111-2200i3i3−i3−i3-1-10i3−i31-1000000000000000000000000000000000000
χ76444-2-4-4-2-2-24-4002i32i3−2i3−2i32202i3−2i3-22000000-2-2-2122111-2200−i3−i3i3i3-1-10−i3i31-1000000000000000000000000000000000000
χ77444-2-4-4-2-2-2-4400−2i3−2i32i32i32202i3−2i32-2000000-2-2-21221112-200i3i3−i3−i3-1-10−i3i3-11000000000000000000000000000000000000
χ78444-2-4-4-2-2-2-44002i32i3−2i3−2i3220−2i32i32-2000000-2-2-21221112-200−i3−i3i3i3-1-10i3−i3-11000000000000000000000000000000000000
χ7944-444-4-4-44000000004-400000040-400-2-22-2-2222-200000000-22000000-20200000000000000000000000000000000
χ8044-444-4-4-44000000004-4000000-40400-2-22-2-2222-200000000-2200000020-200000000000000000000000000000000
χ8144-44-44-4-4400000000-440000040-4000-2-22-22-222-2000000002-200000-202000000000000000000000000000000000
χ8244-44-44-4-4400000000-4400000-404000-2-22-22-222-2000000002-20000020-2000000000000000000000000000000000
χ8388-8-48-844-400000000-4400000000000-4-442-44-2-22000000002-200000000000000000000000000000000000000000
χ8488-8-4-8844-4000000004-400000000000-4-4424-4-2-2200000000-2200000000000000000000000000000000000000000
χ858-8080000-8004i−4i4i−4i4i−4i0000000000000-440-40000400−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000
χ868-8080000-800−4i4i−4i4i−4i4i0000000000000-440-400004002i−2i2i−2i2i−2i0000000000000000000000000000000000000000000
χ878-80-400−4i34i34004i−4i4ζ7−4ζ74ζ11−4ζ110000000000000-4402002i3−2i3-200−2i2i−2ζ72ζ7−2ζ112ζ110000000000000000000000000000000000000000000
χ888-80-400−4i34i3400−4i4i−4ζ74ζ7−4ζ114ζ110000000000000-4402002i3−2i3-2002i−2i2ζ7−2ζ72ζ11−2ζ110000000000000000000000000000000000000000000
χ898-80-4004i3−4i34004i−4i4ζ11−4ζ114ζ7−4ζ70000000000000-440200−2i32i3-200−2i2i−2ζ112ζ11−2ζ72ζ70000000000000000000000000000000000000000000
χ908-80-4004i3−4i3400−4i4i−4ζ114ζ11−4ζ74ζ70000000000000-440200−2i32i3-2002i−2i2ζ11−2ζ112ζ7−2ζ70000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.